Works (221)

Updated: August 23rd, 2023 21:19

2023 journal article

A Comparison of Mathematical and Statistical Modeling with Longitudinal Data: An Application to Ecological Momentary Assessment of Behavior Change in Individuals with Alcohol Use Disorder

BULLETIN OF MATHEMATICAL BIOLOGY, 85(1).

By: S. Shao*, J. Canner*, R. Everett*, K. Bekele-Maxwell*, A. Kuerbis*, L. Stephenson n, J. Menda n, J. Morgenstern*, H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: Ecological momentary assessment data; Generalized estimating equations; Generalized linear mixed models; Markov models; Generalized linear mixed-effects Markov models; Differential equations
MeSH headings : Humans; Ecological Momentary Assessment; Alcoholism; Mathematical Concepts; Models, Biological; Alcohol Drinking / psychology
Source: Web Of Science
Added: January 3, 2023

2022 journal article

Beyond body size-new traits for new heights in trait-based modelling of predator-prey dynamics

PLOS ONE, 17(7).

co-author countries: Australia 🇦🇺 Chile 🇨🇱 Sweden 🇸🇪 United States of America 🇺🇸
MeSH headings : Animals; Body Size; Food Chain; Herbivory; Insecta; Predatory Behavior
Source: Web Of Science
Added: March 6, 2023

2021 journal article

Inferring pore radius and density from ultrasonic attenuation using physics-based modeling

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 149(1), 340–347.

By: R. White n, O. Yousefian*, H. Banks n, A. Alexanderian n & M. Mueller

co-author countries: United States of America 🇺🇸
MeSH headings : Bone Density; Bone and Bones; Cortical Bone / diagnostic imaging; Porosity; Ultrasonics; Ultrasonography
Source: Web Of Science
Added: February 15, 2021

2020 journal article

Correctly modeling plant-insect-herbivore-pesticide interactions as aggregate data

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 17(2), 1743–1756.

By: H. Banks*, J. Banks*, J. Catenacci*, M. Joyner* & J. Stark*

co-author countries: United States of America 🇺🇸
author keywords: plant-insect interactions; inverse problems; hypothesis testing and standard errors in dynamical models; aggregate data; Prohorov metric
MeSH headings : Animals; Aphids; Herbivory; Insecta; Pesticides; Population Dynamics
Source: Web Of Science
Added: January 13, 2020

2020 journal article

Lethal and sublethal effects of toxicants on bumble bee populations: a modelling approach

ECOTOXICOLOGY, 29(3), 237–245.

co-author countries: Sweden 🇸🇪 United States of America 🇺🇸
author keywords: Hymenoptera; Neonicitinoid; Delay differential equation
MeSH headings : Agriculture; Animals; Bees / physiology; Ecosystem; Environmental Monitoring; Hazardous Substances / toxicity; Neonicotinoids / toxicity; Pesticides / toxicity; Pollination
Source: Web Of Science
Added: March 16, 2020

2020 journal article

Modelling the effects of field spatial scale and natural enemy colonization behaviour on pest suppression in diversified agroecosystems

AGRICULTURAL AND FOREST ENTOMOLOGY, 22(1), 30–40.

By: J. Banks*, A. Laubmeier n & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: Beetle; differential equation; diffusion; dispersal; habitat heterogeneity
Source: Web Of Science
Added: September 23, 2019

2019 journal article

ADAPTION OF AKAIKE INFORMATION CRITERION UNDER LEAST SQUARES FRAMEWORKS FOR COMPARISON OF STOCHASTIC MODELS

QUARTERLY OF APPLIED MATHEMATICS, 77(4), 831–859.

By: H. Banks n & M. Joyner*

co-author countries: United States of America 🇺🇸
author keywords: Continuous time Markov chain models; CTMC; stochastic differential equations; SDE; random differential equations; RDE; inverse problems; model comparison techniques; Akaike information criterion; AIC
Source: Web Of Science
Added: October 21, 2019

2019 journal article

Analysis of compartments-in-series models of liver metabolism as partial differential equations: the effect of dispersion and number of compartments

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 16(3), 1082–1114.

co-author countries: United States of America 🇺🇸
author keywords: liver disease; zonation; computational inverse models; dispersion in flows; compartments-in-series models
MeSH headings : Adipose Tissue / metabolism; Food; Glucose / pharmacokinetics; Hepatocytes / metabolism; Humans; Insulin / metabolism; Lipid Metabolism; Lipolysis; Liver / blood supply; Liver / metabolism; Models, Biological; Non-alcoholic Fatty Liver Disease / metabolism; Non-alcoholic Fatty Liver Disease / pathology
Source: Web Of Science
Added: April 20, 2020

2019 journal article

Ecosystem function in predator-prey food webs-confronting dynamic models with empirical data

JOURNAL OF ANIMAL ECOLOGY, 88(2), 196–210.

co-author countries: Austria 🇦🇹 Sweden 🇸🇪 United States of America 🇺🇸
author keywords: agricultural pests; allometry; body mass; conservation biological control; herbivore suppression; multitrophic functioning; predator-prey interactions; species traits
MeSH headings : Animals; Ecosystem; Food Chain; Models, Biological; Population Dynamics; Predatory Behavior; Sweden
Source: Web Of Science
Added: March 4, 2019

2019 journal article

Estimation of probability distributions of parameters using aggregate population data: analysis of a CAR T-cell cancer model

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 16(6), 7299–7326.

co-author countries: United States of America 🇺🇸
author keywords: aggregate data; CAR T-cell therapy; cancer model; inverse problems; design of experiments
MeSH headings : Algorithms; Animals; Computer Simulation; Humans; Immunotherapy, Adoptive; Mice; Models, Theoretical; Neoplasm Transplantation; Neoplasms, Experimental / therapy; Population Dynamics; Probability; Receptors, Chimeric Antigen / chemistry; Reproducibility of Results; T-Lymphocytes / cytology
Source: Web Of Science
Added: October 14, 2019

2019 journal article

IMMUNOSUPPRESSANT TREATMENT DYNAMICS IN RENAL TRANSPLANT RECIPIENTS: AN ITERATIVE MODELING APPROACH

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 24(6), 2781–2797.

By: N. Murad, H. Tran*, H. Banks*, R. Everett* & E. Rosenberg*

author keywords: Inverse problem; infection dynamics; differential equations; renal transplantation; immunosuppression therapy; iterative modeling process; BKV
Sources: Web Of Science, ORCID
Added: April 22, 2019

2019 journal article

LOCAL SENSITIVITY VIA THE COMPLEX-STEP DERIVATIVE APPROXIMATION FOR 1D PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS

MATHEMATICAL CONTROL AND RELATED FIELDS, 9(4), 623–642.

By: H. Banks*, K. Bekele-Maxwell, L. Bociu*, M. Noorman & G. Guidiboni

author keywords: Sensitivity; poro-elastic; poro-visco-elastic; biological tissues; complex-step method
Sources: Web Of Science, ORCID
Added: December 2, 2019

2019 journal article

Modeling Zika Virus Transmission Dynamics: Parameter Estimates, Disease Characteristics, and Prevention

SCIENTIFIC REPORTS, 9.

By: M. Rahman*, K. Bekele-Maxwell*, L. Cates*, H. Banks* & N. Vaidya*

co-author countries: United States of America 🇺🇸
MeSH headings : Basic Reproduction Number / statistics & numerical data; Disease Outbreaks / statistics & numerical data; Humans; Islands / epidemiology; Models, Statistical; Polynesia / epidemiology; Prevalence; Time Factors; Zika Virus; Zika Virus Infection / blood; Zika Virus Infection / prevention & control; Zika Virus Infection / transmission
Source: Web Of Science
Added: August 12, 2019

2019 journal article

Population model for the decline of Homalodisca vitripennis (Hemiptera: Cicadellidae) over a ten-year period

JOURNAL OF BIOLOGICAL DYNAMICS, 13(1), 422–446.

By: H. Banks*, J. Banks*, N. Cody*, M. Hoddle* & A. Meade*

co-author countries: United States of America 🇺🇸
author keywords: Population model; data fitting; inverse problems; weighted least squares; generalized least squares; biological control; Homalodisca vitripennis; Gonatocerus ashmeadi; Cosmocomoidea ashmeadi; density dependence
MeSH headings : Animals; Hemiptera / physiology; Models, Biological; Ovum / growth & development; Population Dynamics; Probability; Temperature; Uncertainty
Source: Web Of Science
Added: June 4, 2019

2018 journal article

A MULTISCALE METHOD FOR COMPUTING EFFECTIVE PARAMETERS OF COMPOSITE ELECTROMAGNETIC MATERIALS WITH MEMORY EFFECTS

QUARTERLY OF APPLIED MATHEMATICS, 76(4), 713–738.

By: V. Bokil*, H. Banks n, D. Cioranescu* & G. Griso*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Maxwell's equations; periodic unfolding; homogenization; dispersive media; auxiliary differential equation
Source: Web Of Science
Added: November 26, 2018

2018 journal article

A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 26(6), 859–873.

By: H. Banks n, S. Kabanikhin, O. Krivorotko* & D. Yermolenko*

co-author countries: Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Mathematical model of HIV dynamics; parameter specification problem; inverse problem; optimization approach; genetic algorithm; confidence intervals
Source: Web Of Science
Added: December 17, 2018

2018 journal article

Estimating intratumoral heterogeneity from spatiotemporal data

JOURNAL OF MATHEMATICAL BIOLOGY, 77(6-7), 1999–2022.

By: E. Rutter n, H. Banks n & K. Flores n

co-author countries: United States of America 🇺🇸
author keywords: Glioblastoma multiforme; Random differential equation; Parameter estimation
MeSH headings : Antineoplastic Agents / therapeutic use; Brain Neoplasms / drug therapy; Brain Neoplasms / pathology; Cell Movement; Cell Proliferation; Computer Simulation; Glioblastoma / drug therapy; Glioblastoma / pathology; Humans; Mathematical Concepts; Models, Biological; Neoplasm Invasiveness / pathology; Phenotype; Probability; Spatio-Temporal Analysis; Tumor Burden / drug effects
Source: Web Of Science
Added: December 17, 2018

2018 journal article

From theory to experimental design-Quantifying a trait-based theory of predator-prey dynamics

PLoS One, 13(4).

By: A. Laubmeier, K. Wootton, J. Banks, R. Bommarco, A. Curtsdotter, T. Jonsson, T. Roslin, H. Banks

Source: NC State University Libraries
Added: August 6, 2018

2018 review

Improving the generation and selection of virtual populations in quantitative systems pharmacology models

[Review of ]. PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY, 139, 15–22.

By: T. Rieger*, R. Allen*, L. Bystricky*, Y. Chen, G. Colopy*, Y. Cui*, A. Gonzalez*, Y. Liu* ...

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸
author keywords: Global optimization; Acceptance rejection sampling; Mathematical modeling; Ordinary differential equations; Genetic algorithm; Metropolis-Hastings
MeSH headings : Algorithms; Models, Biological; Pharmacology / methods; Systems Biology / methods; Uncertainty; User-Computer Interface
Source: Web Of Science
Added: January 14, 2019

2018 review

Information content in data sets: A review of methods for interrogation and model comparison

[Review of ]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 26(3), 423–452.

By: H. Banks n & M. Joyner*

co-author countries: United States of America 🇺🇸
author keywords: Information content; weighted least squares; sensitivity; model comparison techniques; Akaike Information Criterion
Source: Web Of Science
Added: August 6, 2018

2018 journal article

OPTIMAL DESIGN FOR DYNAMICAL MODELING OF PEST POPULATIONS

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 15(4), 993–1010.

By: H. Banks n, R. Everett*, N. Murad, R. White, J. Banks, B. Cass, J. Rosenheim n

co-author countries: United States of America 🇺🇸
author keywords: Dynamic modeling; pest management; optimal experimental design; constrained optimization; ecoinformatics
MeSH headings : Animals; Citrus / parasitology; Computer Simulation; Mathematical Concepts; Mites / pathogenicity; Models, Biological; Monte Carlo Method; Pest Control / methods; Pest Control / statistics & numerical data; Plant Diseases / parasitology; Plant Diseases / prevention & control; Population Dynamics
Source: Web Of Science
Added: October 29, 2018

2018 journal article

Optimal control of immunosuppressants in renal transplant recipients susceptible to BKV infection

Optimal Control Applications and Methods, 40(2), 292–309.

By: N. Murad n, H. Tran n & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: BK virus; immunosuppression; Kalman filtering; optimal feedback control; receding horizon control; renal transplant
Sources: Web Of Science, ORCID, Crossref
Added: March 25, 2019

2018 journal article

RANDOM DELAY DIFFERENTIAL EQUATIONS AND INVERSE PROBLEMS FOR AGGREGATE DATA PROBLEMS

EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 6(4), 4–16.

By: H. Banks* & W. Thompson*

author keywords: Inverse problems; random delay differential equations; aggregate data; approximation and consistency of estimators
Source: Web Of Science
Added: December 3, 2018

2018 journal article

The effect of pore size and density on ultrasonic attenuation in porous structures with mono-disperse random pore distribution: A two-dimensional in-silico study

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 144(2), 709–719.

By: O. Yousefian n, R. White n, Y. Karbalaeisadegh n, H. Banks n & M. Muller n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: October 16, 2018

2017 journal article

A dynamical modeling approach for analysis of longitudinal clinical trials in the presence of missing endpoints

APPLIED MATHEMATICS LETTERS, 63, 109–117.

By: H. Banks n, S. Hu n & E. Rosenberg n

co-author countries: United States of America 🇺🇸
author keywords: HIV; Hypothesis testing; Ordinary differential equation; Inverse problems
Source: Web Of Science
Added: August 6, 2018

2017 journal article

A numerical scheme for the early steps of nucleation-aggregation models

JOURNAL OF MATHEMATICAL BIOLOGY, 74(1-2), 259–287.

By: H. Banks n, M. Doumic* & C. Kruse*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Polymerization; Aggregation-fragmentation models; Finite volume schemes; Adaptive grid
MeSH headings : Computer Simulation; Kinetics; Models, Chemical; Polymers / chemistry
Source: Web Of Science
Added: August 6, 2018

2017 journal article

AIC under the framework of least squares estimation

APPLIED MATHEMATICS LETTERS, 74, 33–45.

By: H. Banks n & M. Joyner*

co-author countries: United States of America 🇺🇸
author keywords: Inverse problems; Akiake information content; Least squares estimation; Biological applications
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Continuous Structured Population Models for Daphnia magna

Bulletin of Mathematical Biology, 79(11), 2627–2648.

By: E. Rutter n, H. Banks n, G. LeBlanc n & K. Flores n

co-author countries: United States of America 🇺🇸
author keywords: Continuous structured population models; Inverse problems; Generalized least squares; Model selection; Information content; Residual plots
MeSH headings : Animals; Computer Simulation; Confidence Intervals; Daphnia / growth & development; Daphnia / physiology; Female; Fertility; Food; Least-Squares Analysis; Male; Mathematical Concepts; Models, Biological; Population Dynamics
Source: Crossref
Added: July 20, 2019

2017 journal article

Dynamic Modeling of Problem Drinkers Undergoing Behavioral Treatment

BULLETIN OF MATHEMATICAL BIOLOGY, 79(6), 1254–1273.

By: H. Banks n, K. Bekele-Maxwell n, R. Everett n, L. Stephenson n, S. Shao* & J. Morgenstern*

co-author countries: United States of America 🇺🇸
author keywords: Mathematical psychology; Inverse problems; Iterative weighted least squares; Behavior change; Personalized medicine
MeSH headings : Alcohol Drinking; Alcoholism / therapy; Decision Making; Humans; Models, Theoretical
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Estimating the rate of prion aggregate amplification in yeast with a generation and structured population model

Inverse Problems in Science and Engineering, 26(2), 257–279.

co-author countries: Germany 🇩🇪 United States of America 🇺🇸
author keywords: Structured population model; aggregate data; inverse problem; PDEs; prion; General biology and biomathematics
Source: Crossref
Added: July 20, 2019

2017 journal article

Inverse problems and techniques with applications in the biological sciences

Inverse Problems in Science and Engineering, 26(2), 151–151.

By: H. Banks n & J. Burns*

co-author countries: United States of America 🇺🇸
Source: Crossref
Added: August 28, 2020

2017 journal article

Mathematical and statistical model misspecifications in modelling immune response in renal transplant recipients

Inverse Problems in Science and Engineering, 26(2), 203–222.

By: H. Banks n, R. Everett n, S. Hu n, N. Murad n & H. Tran n

co-author countries: United States of America 🇺🇸
author keywords: Renal transplant; BK virus; polyomavirus nephropathy; inverse problems; pseudo measurement errors; difference-based methods; model misspecification; statistical error model; 62P10; 92B99; 62G99; 37N15
Sources: Crossref, Web Of Science, ORCID
Added: November 11, 2019

2017 journal article

Modeling bumble bee population dynamics with delay differential equations

ECOLOGICAL MODELLING, 351, 14–23.

By: H. Banks n, J. Banks*, R. Bommarco*, A. Laubmeier n, N. Myers n, M. Rundlof*, K. Tillman n

co-author countries: Sweden 🇸🇪 United States of America 🇺🇸
author keywords: Population models; Delay differential equations; Non-linear; Non-autonomous; Spline approximations; Bombus terrestris; Reproduction
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Modelling populations of Lygus hesperus on cotton fields in the San Joaquin Valley of California: the importance of statistical and mathematical model choice

JOURNAL OF BIOLOGICAL DYNAMICS, 11(1), 25–39.

By: H. Banks n, J. Banks*, J. Rosenheim* & K. Tillman n

co-author countries: United States of America 🇺🇸
author keywords: Inverse problem; ordinary least squares; generalized least squares; model selection; information content; bootstrapping; residual plots; linear splines; hemiptera; herbivory; pest suppression; pesticide
MeSH headings : Animals; California; Heteroptera / physiology; Models, Biological; Pesticides; Population Dynamics
Source: Web Of Science
Added: August 6, 2018

2017 journal article

SENSITIVITY ANALYSIS IN PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS WITH RESPECT TO BOUNDARY DATA

QUARTERLY OF APPLIED MATHEMATICS, 75(4), 697–735.

By: H. Banks n, K. Bekele-Maxwell n, L. Bociu n, M. Noorman n & G. Guidoboni*

co-author countries: United States of America 🇺🇸
author keywords: Sensitivity; poro-elastic; poro-visco-elastic; biological tissues; complex-step method
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 journal article

SENSITIVITY VIA THE COMPLEX-STEP METHOD FOR DELAY DIFFERENTIAL EQUATIONS WITH NON-SMOOTH INITIAL DATA

QUARTERLY OF APPLIED MATHEMATICS, 75(2), 231–248.

By: H. Banks n, K. Bekele-Maxwell n, L. Bociu n & C. Wang n

co-author countries: United States of America 🇺🇸
author keywords: Inverse problems; sensitivity with respect to parameters; complex-step method; delay differential equations
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 journal article

Statistical error model comparison for logistic growth of green algae (Raphidocelis subcapitata)

Applied Mathematics Letters, 64, 213–222.

By: H. Banks n, E. Collins n, K. Flores n, P. Pershad n, M. Stemkovski n & L. Stephenson n

co-author countries: United States of America 🇺🇸
author keywords: Algae growth models; Parameter estimation; Uncertainty quantification; Asymptotic theory
Sources: Web Of Science, Crossref
Added: August 6, 2018

2016 journal article

AN ADAPTIVE FEEDBACK METHODOLOGY FOR DETERMINING INFORMATION CONTENT IN STABLE POPULATION STUDIES

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 13(4), 653–671.

By: H. Banks n, J. Banks, R. Everett* & J. Stark n

co-author countries: United States of America 🇺🇸
author keywords: Demographic data; inverse problem; ordinary least squares; information content; adaptive feedback
MeSH headings : Animals; Daphnia / physiology; Ecosystem; Life Tables; Models, Biological; Population Dynamics
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Aggregate data and the Prohorov Metric Framework: Efficient gradient computation

APPLIED MATHEMATICS LETTERS, 56, 1–9.

By: H. Banks n & J. Catenacci n

co-author countries: United States of America 🇺🇸
author keywords: Inverse problems; Least squares estimation; Estimation of probability distributions; Splines; Prohorov metric
Source: Web Of Science
Added: August 6, 2018

2016 journal article

In celebration of the 60th birthday of Professor Alemdar Hasanoglu (Hasanov)

Journal of Inverse and Ill-Posed Problems, 24(2), 109–110.

By: V. Andreev, H. Banks, G. Dulikravich, B. Hofmann, S. Kabanikhin, F. Kuchuk, D. Lesnic, M. Nashed ...

Source: NC State University Libraries
Added: August 6, 2018

2016 chapter

Modelling Pesticide Treatment Effects on Lygus hesperus in Cotton Fields

In IFIP Advances in Information and Communication Technology (pp. 95–106).

By: H. Banks n, J. Banks n, N. Murad n, J. Rosenheim* & K. Tillman n

co-author countries: United States of America 🇺🇸
Source: Crossref
Added: February 24, 2020

2016 journal article

Modelling immune response to BK virus infection and donor kidney in renal transplant recipients

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 24(1), 127–152.

By: H. Banks n, S. Hu n, K. Link n, E. Rosenberg*, S. Mitsuma* & L. Rosario*

co-author countries: United States of America 🇺🇸
author keywords: renal transplant; human polyomavirus type 1 (BKV); mathematical model; inverse problem; sensitivity analysis; 62F12; 65L09; 92B05
Source: Web Of Science
Added: August 6, 2018

2016 journal article

On analytical and numerical approaches to division and label structured population models

APPLIED MATHEMATICS LETTERS, 60, 81–88.

By: H. Banks n, K. Flores n & S. Sindi*

co-author countries: United States of America 🇺🇸
author keywords: Division-structured population model; Heterogeneous cell populations; Protein dynamics
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Parameter Estimation Using Unidentified Individual Data in Individual Based Models

MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 11(6), 9–27.

By: H. Banks n, R. Baraldi n, J. Catenacci n & N. Myers

co-author countries: United States of America 🇺🇸
author keywords: pharmacokinetics; pharmacodynamics; physiological based pharmacokinetic modeling; inter-individual parameter variability; uncertainty quantification; random differential equations; distribution estimation; Prohorov metric framework; aggregate population data
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Parameter Selection and Verification Techniques Based on Global Sens Analysis Illustrated for an HIV Model

SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 4(1), 266–297.

By: M. Wentworth, R. Smith* & H. Banks*

author keywords: global sensitivity analysis; parameter selection; verificatio
Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 article

Quantifying the degradation in thermally treated ceramic matrix composites

INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, Vol. 52, pp. 3–24.

By: H. Banks n, J. Catenacci n & A. Criner*

co-author countries: United States of America 🇺🇸
author keywords: Ceramic matrix composites; prohorov metric; reflectance spectroscopy; uncertainty quantification
Source: Web Of Science
Added: August 6, 2018

2016 article

Statistical parameter estimation of dielectric materials using MCMC for nonlinear hierarchical models

INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, Vol. 52, pp. 49–54.

By: F. Kojima* & H. Banks n

co-author countries: Japan 🇯🇵 United States of America 🇺🇸
author keywords: Inverse problem; nondestructive evaluation; electromagnetic interrogation; polarization
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Use of difference-based methods to explore statistical and mathematical model discrepancy in inverse problems

Journal of Inverse and Ill-Posed Problems, 24(4), 413–433.

By: H. Banks, J. Catenacci & S. Hu

Source: NC State University Libraries
Added: August 6, 2018

2016 journal article

Validation of a mathematical model for green algae (Raphidocelis Subcapitata) growth and implications for a coupled dynamical system with Daphnia magna

Applied Sciences-Basel, 6(5).

Source: NC State University Libraries
Added: August 6, 2018

2015 journal article

Characterisation of Elastic and Acoustic Properties of an Agar-Based Tissue Mimicking Material

ANNALS OF BIOMEDICAL ENGINEERING, 43(10), 2587–2596.

By: M. Brewin*, M. Birch*, D. Mehta*, J. Reeves*, S. Shaw*, C. Kruse*, J. Whiteman*, S. Hu n ...

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸
author keywords: Acoustic properties; Acoustic localisation; Coronary artery; Elastic moduli; Poisson's ratio; Shear modulus; Shear wave; Stenosis; Tissue mimicking material; Viscoelasticity
MeSH headings : Agar / chemistry; Animals; Biomimetic Materials / chemistry; Coronary Stenosis / diagnostic imaging; Coronary Stenosis / physiopathology; Elastic Modulus; Humans; Phantoms, Imaging; Ultrasonography
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Estimation of distributed parameters in permittivity models of composite dielectric materials using reflectance

Journal of Inverse and Ill-Posed Problems, 23(5), 491–509.

By: H. Banks, J. Catenacci & S. Hu

Source: NC State University Libraries
Added: August 6, 2018

2015 journal article

Estimation of time-varying mortality rates using continuous models for Daphnia magna

APPLIED MATHEMATICS LETTERS, 44, 12–16.

By: K. Adoteye n, H. Banks n, K. Flores n & G. LeBlanc n

co-author countries: United States of America 🇺🇸
author keywords: Structured population model; Leslie matrix model; Sinko-Streifer model; Daphnia magna; Time-dependent mortality rate
Sources: Web Of Science, ORCID
Added: August 6, 2018

2015 conference paper

Identification of thermal degradation using probabilistic models in reflectance spectroscopy

1650, 1898–1906.

By: A. Criner*, A. Cherry, A. Cooney*, T. Katter*, H. Banks n, S. Hu n, J. Catenacci n

co-author countries: United States of America 🇺🇸

Event: 41ST ANNUAL REVIEW OF PROGRESS IN QUANTITATIVE NONDESTRUCTIVE EVALUATION: Volume 34

Sources: Crossref, NC State University Libraries
Added: August 6, 2018

2015 journal article

Immuno-modulatory strategies for reduction of HIV reservoir cells

JOURNAL OF THEORETICAL BIOLOGY, 372, 146–158.

By: H. Banks n, K. Flores n, S. Hu n, E. Rosenberg*, M. Buzon*, X. Yu*, M. Lichterfeld*

co-author countries: United States of America 🇺🇸
author keywords: Immune response; Mathematical model; Inverse problem; Stability analysis
MeSH headings : Anti-HIV Agents / chemistry; CD4-Positive T-Lymphocytes / immunology; CD4-Positive T-Lymphocytes / virology; CD8-Positive T-Lymphocytes / immunology; CD8-Positive T-Lymphocytes / virology; Cell Proliferation; Computer Simulation; HIV Infections / immunology; HIV Infections / therapy; HIV-1; Homeostasis; Humans; Models, Biological; Viral Load; Virus Latency
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Information content in data sets for a nucleated-polymerization model

JOURNAL OF BIOLOGICAL DYNAMICS, 9(1), 172–197.

By: H. Banks n, M. Doumic*, C. Kruse*, S. Prigent* & H. Rezaei*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: inverse problems; polyglutamine and aggregation modelling; information content; sensitivity; uncertainty quantification; 65M32; 62P10; 64B10; 49Q12
MeSH headings : Algorithms; Amyloid / chemistry; Kinetics; Models, Biological; Models, Statistical; Peptides / chemistry; Polymerization; Sensitivity and Specificity
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Model comparison tests to determine data information content

APPLIED MATHEMATICS LETTERS, 43, 10–18.

By: H. Banks n, J. Banks*, K. Link n, J. Rosenheim*, C. Ross n & K. Tillman n

co-author countries: United States of America 🇺🇸
author keywords: Ordinary least squares; Model comparison in inverse problems; Information content
Source: Web Of Science
Added: August 6, 2018

2015 journal article

OPTIMAL DESIGN FOR PARAMETER ESTIMATION IN EEG PROBLEMS IN A 3D MULTILAYERED DOMAIN

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(4), 739–760.

By: H. Banks n, D. Rubio, N. Saintier & M. Troparevsky n

co-author countries: United States of America 🇺🇸
author keywords: Electromagnetic inverse problems; optimal design in 3D EEG analysis; parameter estimation; asymptotic error analysis
MeSH headings : Algorithms; Animals; Brain / physiology; Brain Mapping / methods; Computer Simulation; Diagnosis, Computer-Assisted / methods; Electroencephalography / methods; Humans; Models, Neurological; Models, Statistical; Pattern Recognition, Automated / methods; Reproducibility of Results; Sensitivity and Specificity
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Optimal design of non-equilibrium experiments for genetic network interrogation

APPLIED MATHEMATICS LETTERS, 40, 84–89.

By: K. Adoteye n, H. Banks n & K. Flores n

co-author countries: United States of America 🇺🇸
author keywords: Optimal experimental design; Inverse problem; Uncertainty analysis; Brome mosaic virus; Synthetic biology; Genetic networks
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Optimal sampling frequency and timing of threatened tropical bird populations: A modeling approach

ECOLOGICAL MODELLING, 303, 70–77.

By: J. Banks*, H. Banks n, K. Rinnovatore n & C. Jackson*

co-author countries: Kenya 🇰🇪 United States of America 🇺🇸
author keywords: Arabuko-Sokoke Forest; Inverse problem; Kenya; Least squares optimization; Leslie matrix; Sheppardia gunningi
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Statistical validation of structured population models for Daphnia magna

Mathematical Biosciences, 266, 73–84.

By: K. Adoteye n, H. Banks n, K. Cross n, S. Eytcheson n, K. Flores n, G. LeBlanc n, T. Nguyen n, C. Ross n ...

co-author countries: United States of America 🇺🇸
author keywords: Sensitivity analysis; Structured population model; Uncertainty quantification; Density-dependence; Multi-scale data; Daphnia magna
MeSH headings : Animals; Daphnia; Models, Statistical; Population Dynamics
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2015 journal article

UNCERTAINTY QUANTIFICATION IN MODELING HIV VIRAL MECHANICS

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(5), 937–964.

co-author countries: United States of America 🇺🇸
MeSH headings : Algorithms; Anti-HIV Agents / therapeutic use; CD4-Positive T-Lymphocytes / virology; Clinical Trials as Topic; HIV Infections / drug therapy; HIV Infections / physiopathology; HIV Infections / virology; HIV-1 / physiology; Humans; Least-Squares Analysis; Models, Biological; Models, Statistical; RNA, Viral / analysis; Reverse Transcriptase Inhibitors / therapeutic use; Uncertainty; Viral Load
Source: Web Of Science
Added: August 6, 2018

2014 journal article

DYNAMIC MODELING OF BEHAVIOR CHANGE

QUARTERLY OF APPLIED MATHEMATICS, 72(2), 209–251.

By: H. Banks*, K. Rehm, K. Sutton, C. Davis, L. Hail, A. Kuerbis, J. Morgenstern n

co-author countries: United States of America 🇺🇸
author keywords: Mathematical psychology; inverse problems; delay differential equations; behavior change; model comparison
Source: Web Of Science
Added: August 6, 2018

2014 conference paper

Decomposition of permittivity contributions from reflectance using mechanism models

2014 american control conference (acc), 367–372.

By: H. Banks, J. Catenacci, S. Hu & Z. Kenz

Source: NC State University Libraries
Added: August 6, 2018

2014 journal article

High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 98(2), 131–156.

By: H. Banks n, M. Birch*, M. Brewin*, S. Greenwald*, S. Hu n, Z. Kenz n, C. Kruse*, M. Maischak*, S. Shaw*, J. Whiteman*

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸
author keywords: viscoelasticity; high order methods; discontinuous Galerkin finite element method; spectral element method; space-time finite elements
Source: Web Of Science
Added: August 6, 2018

2014 journal article

MODEL VALIDATION FOR A NONINVASIVE ARTERIAL STENOSIS DETECTION PROBLEM

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 11(3), 427–448.

By: H. Banks n, S. Hu*, Z. Kenz*, C. Kruse, S. Shaw, J. Whiteman, M. Brewin, S. Greenwald, M. Birch n

co-author countries: United States of America 🇺🇸
author keywords: Viscoelastic model; sensitivity analysis; inverse problem; asymptotic theory
MeSH headings : Arterial Occlusive Diseases / diagnosis; Computational Biology; Confidence Intervals; Constriction, Pathologic / diagnosis; Finite Element Analysis; Hemodynamics; Humans; Least-Squares Analysis; Mathematical Concepts; Models, Cardiovascular; Models, Statistical; Phantoms, Imaging
Source: Web Of Science
Added: August 6, 2018

2014 conference paper

Uncertainty quantification for a model of HIV-1 patient response to antiretroviral therapy interruptions

2014 american control conference (acc), 2753–2758.

Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

A Comparison of Stochastic Systems with Different Types of Delays

STOCHASTIC ANALYSIS AND APPLICATIONS, 31(6), 913–955.

By: H. Banks n, J. Catenacci n & S. Hu n

co-author countries: United States of America 🇺🇸
author keywords: Fixed vs; random delays; Gamma distribution and the linear chain trick; Kurtz limit theorem; Markov Chain stochastic vs; deterministic approximations; Systems with delays
Source: Web Of Science
Added: August 6, 2018

2013 journal article

A novel statistical analysis and interpretation of flow cytometry data

JOURNAL OF BIOLOGICAL DYNAMICS, 7(1), 96–132.

By: H. Banks n, D. Kapraun n, W. Thompson n, C. Peligero*, J. Argilaguet* & A. Meyerhans*

co-author countries: Spain 🇪🇸 United States of America 🇺🇸
author keywords: immunology; flow cytometry; cyton models; mathematical and statistical models; label dynamics; parameter estimation; cellular models
MeSH headings : CD4-Positive T-Lymphocytes / drug effects; CD4-Positive T-Lymphocytes / immunology; CD8-Positive T-Lymphocytes / drug effects; CD8-Positive T-Lymphocytes / immunology; Cell Proliferation / drug effects; Data Interpretation, Statistical; Flow Cytometry / statistics & numerical data; Fluoresceins; Fluorescent Dyes; Humans; Mathematical Concepts; Mitogens / pharmacology; Models, Immunological; Models, Statistical; Phytohemagglutinins / pharmacology; Succinimides
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Acoustic localisation of coronary artery stenosis: Wave propagation in soft tissue mimicking gels

Artery Research, 7(3-4), 124.

By: S. Greenwald*, H. Banks n, M. Birch*, M. Brewin*, S. Hu n, Z. Kenz n, C. Kruse*, D. Mehta* ...

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸
Source: Crossref
Added: February 24, 2020

2013 journal article

Experimental design for distributed parameter vector systems

Applied Mathematics Letters, 26(1), 10–14.

By: H. Banks* & K. Rehm*

co-author countries: United States of America 🇺🇸
author keywords: Optimal design; Inverse problems; Optimal selection of observables; Sampling points
Source: Crossref
Added: February 24, 2020

2013 journal article

Experimental design for vector output systems

Inverse Problems in Science and Engineering, 22(4), 557–590.

By: H. Banks* & K. Rehm

co-author countries: United States of America 🇺🇸
author keywords: optimal design; inverse problems; optimal selection of observables and sampling times; HIV models; plant metabolism and growth
Source: Crossref
Added: August 28, 2020

2013 journal article

Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology

Journal of Inverse and Ill-Posed Problems, 21(1), 25–57.

By: H. Banks, S. Hu, Z. Kenz, C. Kruse, S. Shaw, J. Whiteman, M. Brewin, S. Greenwald, M. Birch

Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

Parameter selection methods in inverse problem formulation

Mathematical Modeling and Validation in Physiology: Applications to the Cardiovascular and Respiratory Systems, 2064, 43–73.

By: H. Banks, A. Cintron-Arias & F. Kappel

Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

Quantifying CFSE label decay in flow cytometry data

APPLIED MATHEMATICS LETTERS, 26(5), 571–577.

By: H. Banks n, A. Choi n, T. Huffman n, J. Nardini n, L. Poag n & W. Thompson n

co-author countries: United States of America 🇺🇸
author keywords: Carboxyfluorescein succinimidyl ester (CFSE); Ordinary differential equation models; Inverse problems; Exponential decay; Gompertz growth; Akiake Information
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Towards computational diagnosis of coronary artery disease

Artery Research, 7(3-4), 123–124.

By: S. Shaw*, J. Whiteman*, S. Greenwald*, C. Kruse*, H. Banks*, M. Birch*, Z. Kenz, J. Reeves*, S. Hu, M. Brewin*

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧
Source: Crossref
Added: February 24, 2020

2012 journal article

A COMPARISON OF COMPUTATIONAL EFFICIENCIES OF STOCHASTIC ALGORITHMS IN TERMS OF TWO INFECTION MODELS

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 9(3), 487–526.

By: H. Banks n, S. Hu*, M. Joyner, A. Broido, B. Canter, K. Gayvert, K. Link n

co-author countries: United States of America 🇺🇸
author keywords: Dynamical models; continuous time Markov chain models; stochastic simulation algorithms; Gillespie; tau-leaping; bacterial and viral infection models
MeSH headings : Algorithms; Computer Simulation / statistics & numerical data; Enterococcus / drug effects; Gram-Positive Bacterial Infections / drug therapy; Gram-Positive Bacterial Infections / epidemiology; Gram-Positive Bacterial Infections / transmission; HIV Infections / epidemiology; HIV Infections / transmission; Humans; Models, Statistical; Population Dynamics; Vancomycin Resistance
Source: Web Of Science
Added: August 6, 2018

2012 journal article

A DIVISION-DEPENDENT COMPARTMENTAL MODEL FOR COMPUTING CELL NUMBERS IN CFSE-BASED LYMPHOCYTE PROLIFERATION ASSAYS

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 9(4), 699–736.

By: H. Banks n, W. Tompson, C. Peligero, S. Giest, J. Argilaguet & A. Meyerhans n

co-author countries: Spain 🇪🇸 United States of America 🇺🇸
author keywords: Cell proliferation; cell division number; CFSE; label structured population dynamics; partial differential equations; inverse problems
MeSH headings : Animals; Cell Division / physiology; Cell Proliferation; Computer Simulation; Fluoresceins; Humans; Image Interpretation, Computer-Assisted / methods; Lymphocyte Count / methods; Lymphocytes / cytology; Lymphocytes / physiology; Microscopy, Fluorescence / methods; Models, Biological; Succinimides
Source: Web Of Science
Added: August 6, 2018

2012 journal article

A Monte Carlo based analysis of optimal design criteria

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 20(1), 1–37.

By: H. Banks n, K. Holm n & F. Kappel*

co-author countries: Austria 🇦🇹 United States of America 🇺🇸
author keywords: Optimal design methods; least squares inverse problems; Fisher information matrix; D-optimal; E-optimal; SE-optimal; Monte Carlo analysis
Source: Web Of Science
Added: August 6, 2018

2012 book

A functional analysis framework for modeling, estimation, and control in science and engineering

By: H. Banks*

Source: NC State University Libraries
Added: August 6, 2018

2012 journal article

A review of selected techniques in inverse problem nonparametric probability distribution estimation

Journal of Inverse and Ill-Posed Problems, 20(4), 429–460.

By: H. Banks, Z. Kenz & W. Thompson

Source: NC State University Libraries
Added: August 6, 2018

2012 journal article

A zero-sum electromagnetic evader-interrogator differential game with uncertainty

APPLICABLE ANALYSIS, 91(4), 645–674.

By: H. Banks n & S. Hu n

co-author countries: United States of America 🇺🇸
author keywords: electromagnetic evasion pursuit; uncertainty; differential games; theory and approximation; backward Kolmogorov equations
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Experimental design and inverse problems in plant biological modeling

Journal of Inverse and Ill-Posed Problems, 20(2), 169–191.

By: M. Avery, H. Banks, K. Basu, Y. Cheng, E. Eager, S. Khasawinah, L. Potter, K. Rehm

Source: NC State University Libraries
Added: August 6, 2018

2012 journal article

Mathematical Models of Dividing Cell Populations: Application to CFSE Data

Mathematical Modelling of Natural Phenomena, 7(5), 24–52.

By: H. Banks* & W. Clayton Thompson*

co-author countries: Spain 🇪🇸
author keywords: cell proliferation; cell division number; CFSE; ordinary differential equations; cytons; label structured population dynamics; partial differential equations; inverse problems
Source: Crossref
Added: February 24, 2020

2012 journal article

Modelling and optimal control of immune response of renal transplant recipients

JOURNAL OF BIOLOGICAL DYNAMICS, 6(2), 539–567.

By: H. Banks n, S. Hu n, T. Jang* & H. Kwon n

co-author countries: Korea (Republic of) 🇰🇷 United States of America 🇺🇸
author keywords: renal transplant; human cytomegalovirus; mathematical model; optimal feedback control; state estimation; model predictive control
MeSH headings : Computer Simulation; Humans; Immunity / drug effects; Immunity / immunology; Immunosuppression Therapy; Immunosuppressive Agents / pharmacology; Infections / microbiology; Infections / virology; Kidney Transplantation / immunology; Models, Immunological; Transplantation Immunology / drug effects; Virus Activation / drug effects
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Preface. Distributed Parameter Systems in Immunology

Mathematical Modelling of Natural Phenomena, 7(5), 1–3.

By: H. Banks*, G. Bocharov*, Z. Grossman* & A. Meyerhans*

co-author countries: Spain 🇪🇸 Israel 🇮🇱 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: mathematical model; distributed parameter systems; immunophysiological systems; virus infections
Source: Crossref
Added: February 24, 2020

2012 journal article

Propagation of Growth Uncertainty in a Physiologically Structured Population

Mathematical Modelling of Natural Phenomena, 7(5), 7–23.

By: H. Banks n & S. Hu n

co-author countries: United States of America 🇺🇸
Source: Crossref
Added: February 24, 2020

2012 journal article

Thermal based methods for damage detection and characterization in porous materials

Inverse Problems, 28(6), 065021.

By: H. Banks* & A. Criner*

Sources: Crossref, NC State University Libraries
Added: August 6, 2018

2011 review

A Brief Review of Elasticity and Viscoelasticity for Solids

[Review of ]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 3(1), 1–51.

By: H. Banks n, S. Hu n & Z. Kenz n

co-author countries: United States of America 🇺🇸
author keywords: Mathematical modeling; Eulerian and Lagrangian formulations in continuum mechanics; elasticity; viscoelasticity; computational simulations in soil; constitutive relationships
Source: Web Of Science
Added: August 6, 2018

2011 journal article

A DETERMINISTIC METHODOLOGY FOR ESTIMATION OF PARAMETERS IN DYNAMIC MARKOV CHAIN MODELS

JOURNAL OF BIOLOGICAL SYSTEMS, 19(1), 71–100.

By: A. Ortiz*, H. Banks n, C. Castillo-Chavez*, G. Chowell* & X. Wang*

co-author countries: United States of America 🇺🇸
author keywords: Markov Chain Stochastic Models; Inverse Problems; Parameter Estimation; Parameter Selection; Large Population Sample Path Approximations
Source: Web Of Science
Added: August 6, 2018

2011 journal article

A new model for the estimation of cell proliferation dynamics using CFSE data

JOURNAL OF IMMUNOLOGICAL METHODS, 373(1-2), 143–160.

By: H. Banks n, K. Sutton n, W. Thompson n, G. Bocharov*, M. Doumic*, T. Schenkel*, J. Argilaguet*, S. Giest*, C. Peligero*, A. Meyerhans*

co-author countries: Germany 🇩🇪 Spain 🇪🇸 France 🇫🇷 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Cell proliferation; Cell division number; CFSE; Label structured population dynamics; Partial differential equations; Inverse problems
MeSH headings : Algorithms; Cell Division; Cell Proliferation; Flow Cytometry; Fluoresceins / metabolism; Fluorescent Dyes / metabolism; Humans; Kinetics; Leukocytes, Mononuclear / cytology; Leukocytes, Mononuclear / metabolism; Lymphocytes / cytology; Lymphocytes / metabolism; Models, Biological; Molecular Dynamics Simulation; Succinimides / metabolism
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Comparison of optimal design methods in inverse problems

Inverse Problems, 27(7), 075002.

By: H. Banks n, K. Holm n & F. Kappel n

co-author countries: Austria 🇦🇹 United States of America 🇺🇸
Sources: Crossref, NC State University Libraries
Added: August 6, 2018

2011 journal article

Dynamic evasion-interrogation games with uncertainty in the context of electromagetics

Numerical Mathematics: Theory, Methods and Applications, 4(3), 359–378.

By: H. Banks, S. Hu, K. Ito & S. Muccio

Source: NC State University Libraries
Added: August 6, 2018

2011 journal article

Estimation of Cell Proliferation Dynamics Using CFSE Data

BULLETIN OF MATHEMATICAL BIOLOGY, 73(1), 116–150.

By: H. Banks n, K. Sutton n, W. Thompson n, G. Bocharov*, D. Roose*, T. Schenkel*, A. Meyerhans*

co-author countries: Belgium 🇧🇪 Germany 🇩🇪 Spain 🇪🇸 Russian Federation 🇷🇺 United States of America 🇺🇸
author keywords: Cell proliferation; CFSE; Label structured population dynamics; Partial differential equations; Inverse problems
MeSH headings : Cell Proliferation; Flow Cytometry / methods; Flow Cytometry / statistics & numerical data; Fluoresceins; Fluorescent Dyes; Humans; In Vitro Techniques; Least-Squares Analysis; Mathematical Concepts; Models, Biological; Models, Statistical; Succinimides
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Host immune responses that promote initial HIV spread

JOURNAL OF THEORETICAL BIOLOGY, 289, 17–35.

By: K. Wendelsdorf*, G. Dean n, S. Hu n, S. Nordone n & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: HIV; Innate inflammatory response pathway; Regulatory response pathway; Mathematical model
MeSH headings : CD4-Positive T-Lymphocytes / immunology; Dendritic Cells / immunology; HIV / physiology; HIV Infections / immunology; HIV Infections / transmission; HIV Infections / virology; Humans; Inflammation / immunology; Inflammation / virology; Lymphocyte Activation / immunology; Models, Immunological; T-Lymphocytes, Regulatory / immunology; Virus Replication / immunology
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Parameter estimation for the heat equation on perforated domains

Journal of Inverse and Ill-Posed Problems, 19(6), 825–857.

By: H. Banks, D. Cioranescu, A. Criner & W. Winfree

Source: NC State University Libraries
Added: August 6, 2018

2011 journal article

Receding Horizon Control of HIV

OPTIMAL CONTROL APPLICATIONS & METHODS, 32(6), 681–699.

By: J. David n, H. Tran n & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: HIV model; Receding Horizon Control; extended Kalman filter; state estimator
Sources: Web Of Science, ORCID
Added: August 6, 2018

2010 journal article

A discrete events delay differential system model for transmission of Vancomycin-resistant enterococcus (VRE) in hospitals

Journal of Inverse and Ill-Posed Problems, 18(7), 787–821.

By: A. Ortiz, H. Banks, C. Castillo-Chavez, G. Chowell & X. Wang

Source: NC State University Libraries
Added: August 6, 2018

2010 journal article

DYNAMIC SOCIAL NETWORK MODELS INCORPORATING STOCHASTICITY AND DELAYS

QUARTERLY OF APPLIED MATHEMATICS, 68(4), 783–802.

By: H. Banks n, K. Rehm n & K. Sutton n

co-author countries: United States of America 🇺🇸
author keywords: Social networks; stochastic differential equations; delay differential equations; clustering
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Electromagnetic interrogation and the Doppler shift using the method of mappings

MATHEMATICAL AND COMPUTER MODELLING, 51(5-6), 389–399.

By: H. Banks n, S. Hu n & W. Thompson n

co-author countries: United States of America 🇺🇸
author keywords: Electromagnetic Doppler shift; Moving interfaces; Method of mappings; Finite elements
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Generalized sensitivities and optimal experimental design

Journal of Inverse and Ill-Posed Problems, 18(1), 25–83.

By: H. Banks, S. Dediu, S. Ernstberger & F. Kappel

Source: NC State University Libraries
Added: August 6, 2018

2010 journal article

Label structured cell proliferation models

APPLIED MATHEMATICS LETTERS, 23(12), 1412–1415.

By: H. Banks n, F. Charles*, M. Jauffret, K. Sutton n & W. Thompson n

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Cell proliferation; Label structured population dynamics; Partial differential equations; Moving coordinate systems
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Standard error computations for uncertainty quantification in inverse problems: Asymptotic theory vs. bootstrapping

MATHEMATICAL AND COMPUTER MODELLING, 52(9-10), 1610–1625.

By: H. Banks n, K. Holm n & D. Robbins n

co-author countries: United States of America 🇺🇸
author keywords: Parameter estimation; Bootstrapping; Asymptotic standard errors
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Thermal-based damage detection in porous materials

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 18(6), 835–851.

By: H. Banks n, B. Boudreaux n, A. Criner n, K. Foster*, C. Uttal*, T. Vogel*, W. Winfree*

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸
author keywords: thermal interrogation; material with porosity; random porosity; damage detection; computational methods
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Using inverse problem methods with surveillance data in pneumococcal vaccination

MATHEMATICAL AND COMPUTER MODELLING, 51(5-6), 369–388.

By: K. Sutton n, H. Banks n & C. Castillo-Chavez*

co-author countries: United States of America 🇺🇸
author keywords: Inverse problems; Surveillance data; Epidemiological models; Pneumococcal diseases; Age structure
Source: Web Of Science
Added: August 6, 2018

2009 journal article

A comparison of probabilistic and stochastic formulations in modelling growth uncertainty and variability

Journal of Biological Dynamics, 3(2-3), 130–148.

By: H. Banks n, J. Davis n, S. Ernstberger n, S. Hu n, E. Artimovich, A. Dhar, C. Browdy*

co-author countries: United States of America 🇺🇸
MeSH headings : Animals; Decapoda / growth & development; Models, Biological; Population Dynamics; Probability; Stochastic Processes; Uncertainty
Source: Crossref
Added: February 24, 2020

2009 journal article

A mathematical model for the first-pass dynamics of antibiotics acting on the cardiovascular system

MATHEMATICAL AND COMPUTER MODELLING, 50(7-8), 959–974.

By: H. Banks n, K. Holm n, N. Wanner n, A. Cintron-Arias n, G. Kepler n & J. Wetherington*

co-author countries: United States of America 🇺🇸
author keywords: Compartmental model; Circulatory system; Drug delivery; Differential equations; Optimal dosing strategies; Sensitivity
Source: Web Of Science
Added: August 6, 2018

2009 journal article

A model for HCMV infection in immunosuppressed patients

MATHEMATICAL AND COMPUTER MODELLING, 49(7-8), 1653–1663.

By: G. Kepler*, H. Banksa, M. Davidian* & E. Rosenberg*

author keywords: HCMV; CMV; Herpes; Transplantation; Mathematical model; Immunosuppression
Sources: Web Of Science, ORCID
Added: August 6, 2018

2009 journal article

A sensitivity matrix based methodology for inverse problem formulation

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(6), 545–564.

By: A. Cintron-Arias*, H. Banks*, A. Capaldi* & A. Lloyd*

author keywords: Inverse problems; ordinary least squares; sensitivity matrix; Fisher Information matrix; parameter selection; standard errors
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Analysis of Stability and Dispersion in a Finite Element Method for Debye and Lorentz Dispersive Media

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 25(4), 885–917.

By: H. Banks n, V. Bokil* & N. Gibson*

co-author countries: United States of America 🇺🇸
author keywords: Maxwell's equations; Debye; Lorentz; finite elements; FDTD; dissipation; dispersion
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Analysis of Viscoelastic Wall Properties in Ovine Arteries

IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 56(2), 210–219.

By: D. Valdez-Jasso n, M. Haider n, H. Banks n, D. Santana*, Y. German*, R. Armentano*, M. Olufsen n

co-author countries: United States of America 🇺🇸 Uruguay 🇺🇾
author keywords: Arterial wall properties; data analysis; mathematical modeling; mechanics; parameter estimation; viscoelasticity
MeSH headings : Algorithms; Animals; Arteries / physiology; Biomechanical Phenomena / physiology; Blood Pressure; Elasticity; Equipment Design; Male; Models, Cardiovascular; Nonlinear Dynamics; Sensitivity and Specificity; Sheep; Signal Processing, Computer-Assisted; Viscosity
Sources: Web Of Science, ORCID
Added: August 6, 2018

2009 journal article

Detection of arterial occlusions using viscoelastic wave propagation

Advances in Applied Mathematics & Mechanics, 1(1), 1–28.

By: H. Banks & J. Samuels

Source: NC State University Libraries
Added: August 6, 2018

2009 journal article

Estimation in time-delay modeling of insecticide-induced mortality

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(2), 101–125.

By: H. Banks*, J. Banks & S. Joyner*

author keywords: Inverse problems; ordinary and generalized least squares; delay-differential equation models; insect populations; insecticide exposure; time-varying mortality and maturation rates
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Experimental design and estimation of growth rate distributions in size-structured shrimp populations

Inverse Problems, 25(9), 095003.

By: H. Banks n, J. Davis n, S. Ernstberger n, S. Hu n, E. Artimovich* & A. Dhar*

co-author countries: United States of America 🇺🇸
Sources: Crossref, NC State University Libraries
Added: August 6, 2018

2009 book

Mathematical and experimental modeling of physical and biological processes

Boca Raton : CRC Press.

By: H. Banks & H. Tran

Source: NC State University Libraries
Added: August 6, 2018

2009 journal article

Public vaccination policy using an age-structured model of pneumococcal infection dynamics

Journal of Biological Dynamics, 4(2), 176–195.

By: K. Sutton n, H. Banks n & C. Castillo-Chavez*

co-author countries: United States of America 🇺🇸
MeSH headings : Adolescent; Adult; Age Factors; Aged; Aged, 80 and over; Child; Child, Preschool; Communicable Disease Control; Computer Simulation; Humans; Immunization Programs / methods; Infant; Infant, Newborn; Middle Aged; Models, Theoretical; Pneumococcal Infections / prevention & control; Pneumococcal Vaccines / immunology; Public Health; Public Policy; Streptococcus pneumoniae / metabolism; Vaccination
Source: Crossref
Added: January 5, 2021

2009 journal article

THE ESTIMATION OF THE EFFECTIVE REPRODUCTIVE NUMBER FROM DISEASE OUTBREAK DATA

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(2), 261–282.

By: A. Cintron-Arias n, C. Castillo-Chavez*, L. Bettencourt*, A. Lloyd* & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: effective reproductive number; basic reproduction ratio; reproduction number; R; R(t); R-0; parameter estimation; generalized least squares; residual plots
MeSH headings : Algorithms; Biometry / methods; Communicable Diseases / epidemiology; Disease Outbreaks / statistics & numerical data; Disease Transmission, Infectious / statistics & numerical data; Humans; Prevalence; Proportional Hazards Models
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Viscoelastic models for passive arterial wall dynamics

Advances in Applied Mathematics & Mechanics, 1(2), 151–165.

By: D. Valdez-Jasso, H. Banks, M. Haider, D. Bia, Y. Zocalo, R. Armentano, M. Olufsen

Source: NC State University Libraries
Added: August 6, 2018

2009 journal article

Well-posedness of inverse problems for systems with time dependent parameters

Arabian Journal for Science and Engineering, 34(1D), 39–58.

By: H. Banks & M. Pedersen

Source: NC State University Libraries
Added: August 6, 2018

2008 review

A brief review of some approaches to hysteresis in viscoelastic polymers

[Review of ]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 69(3), 807–815.

By: H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: stress-strain laws; hysteresis; viseoelasticity; polymers; internal variables
Source: Web Of Science
Added: August 6, 2018

2008 journal article

A molecular based model for polymer viscoelasticity: Intra- and inter-molecular variability

APPLIED MATHEMATICAL MODELLING, 32(12), 2753–2767.

By: H. Banks n, J. Hood n & N. Medhin n

co-author countries: United States of America 🇺🇸
author keywords: molecular chain bead models; polymer viscoelasticity; variable and distributed relaxation times
Source: Web Of Science
Added: August 6, 2018

2008 journal article

A stick-slip/Rouse hybrid model for viscoelasticity in polymers

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 9(5), 2128–2149.

By: H. Banks n, J. Hood n, N. Medhin n & J. Samuels n

co-author countries: United States of America 🇺🇸
author keywords: viscoelasticity; stick-slip-Rouse model; parameter estimation
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Dynamic models for insect mortality due to exposure to insecticides

MATHEMATICAL AND COMPUTER MODELLING, 48(1-2), 316–332.

By: H. Banks n, J. Banks*, S. Joyner n & J. Stark*

co-author countries: United States of America 🇺🇸
author keywords: differential equation models; insect populations; insecticide exposure; time-varying mortality rates
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Estimation of invasive pneumococcal disease dynamics parameters and the impact of conjugate vaccination in Australia

Mathematical Biosciences and Engineering, 5(1), 175–204.

By: K. Sutton, H. Banks & C. Castillo-Chavez

MeSH headings : Australia / epidemiology; Computer Simulation; Creutzfeldt-Jakob Syndrome / epidemiology; Creutzfeldt-Jakob Syndrome / prevention & control; Disease Outbreaks / prevention & control; Disease Outbreaks / statistics & numerical data; Humans; Incidence; Models, Biological; Pneumococcal Infections / epidemiology; Pneumococcal Infections / prevention & control; Population Surveillance / methods; Prevalence; Risk Assessment / methods; Risk Factors; Vaccines, Conjugate / therapeutic use
Source: NC State University Libraries
Added: August 6, 2018

2008 journal article

Modeling of viscoelastic shear: A nonlinear stick-slip formulation

Dynamic Systems and Applications, 17(2), 383–405.

By: H. Banks, N. Medhin & G. Pinter

Source: NC State University Libraries
Added: August 6, 2018

2008 journal article

Modelling HIV immune response and validation with clinical data

Journal of Biological Dynamics, 2(4), 357–385.

By: H. Banks n, M. Davidian n, S. Hu n, G. Kepler n & E. Rosenberg n

co-author countries: United States of America 🇺🇸
MeSH headings : CD4-Positive T-Lymphocytes / immunology; CD4-Positive T-Lymphocytes / virology; HIV / immunology; HIV Antigens / immunology; HIV Infections / drug therapy; HIV Infections / immunology; HIV Infections / virology; Humans; Immunity / immunology; Models, Immunological; Reproducibility of Results; Viral Load / immunology; Viremia / immunology; Virus Activation / immunology
Sources: Crossref, ORCID
Added: January 23, 2020

2008 journal article

Modelling of propagating shear waves in biotissue employing an internal variable approach to dissipation

Communications in Computational Physics, 3(3), 603–640.

By: H. Banks & N. Luke

Source: NC State University Libraries
Added: August 6, 2018

2008 journal article

QUANTIFYING UNCERTAINTY IN THE ESTIMATION OF PROBABILITY DISTRIBUTIONS

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 5(4), 647–667.

By: H. Banks n & J. Davis n

co-author countries: United States of America 🇺🇸
author keywords: approximation; asymptotic standard error theory; confidence bands; parameter estimation; probability distributions; size-structured populations
MeSH headings : Models, Statistical; Probability; Uncertainty
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Sensitivity to noise variance in a social network dynamics model

QUARTERLY OF APPLIED MATHEMATICS, 66(2), 233–247.

By: H. Banks n, A. Karr*, H. Nguyen n & J. Samuels n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Time-varying vital rates in ecotoxicology: Selective pesticides and aphid population dynamics

ECOLOGICAL MODELLING, 210(1-2), 155–160.

By: J. Banks*, L. Dick n, H. Banks n & J. Stark*

co-author countries: United States of America 🇺🇸
author keywords: ecotoxicology; partial differential equation; Sinko-Streifer; sublethal effects; inverse problem; parameter estimates; Aphididae; risk assessment
Source: Web Of Science
Added: August 6, 2018

2007 article

A comparison of approximation methods for the estimation of probability distributions on parameters

APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 753–777.

By: H. Banks n & J. Davis n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2007 journal article

A dynamic model for induced reactivation of latent virus

JOURNAL OF THEORETICAL BIOLOGY, 244(3), 451–462.

By: G. Kepler n, H. Nguyen n, J. Webster-Cyriaque* & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: reactivation of latent virus; mathematical model; KSHV; Herpes virus
MeSH headings : Butyrates / pharmacology; Cell Cycle; Cell Death; Cell Line, Tumor; DNA Replication; DNA, Viral / physiology; Herpesvirus 8, Human / physiology; Humans; Lymphoma / pathology; Lymphoma / virology; Models, Biological; Models, Statistical; Virus Activation; Virus Latency / drug effects
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Estimation and prediction with HIV-treatment interruption data

BULLETIN OF MATHEMATICAL BIOLOGY, 69(2), 563–584.

By: B. Adams n, H. Banks n, M. Davidian n & E. Rosenberg*

co-author countries: United States of America 🇺🇸
author keywords: HIV models; treatment interruptions; censored data; parameter estimation; prediction
MeSH headings : Antiretroviral Therapy, Highly Active / methods; CD4 Lymphocyte Count; Cohort Studies; Data Interpretation, Statistical; Drug Administration Schedule; HIV Infections / drug therapy; HIV Infections / immunology; HIV-1; Humans; Longitudinal Studies; Models, Biological; Predictive Value of Tests; Viral Load
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides

BULLETIN OF MATHEMATICAL BIOLOGY, 69(7), 2139–2180.

By: H. Banks n, J. Banks*, L. Dick n & J. Stark*

co-author countries: United States of America 🇺🇸
author keywords: population models; Leslie; Sinko-Streifer; McKendrick-VonForester; time-dependent parameters
MeSH headings : Age Factors; Algorithms; Animals; Aphids / growth & development; Computer Simulation; Confidence Intervals; Fertility / drug effects; Insecta / growth & development; Models, Biological; Pest Control / methods; Pesticides / toxicity; Population Density; Population Dynamics; Population Growth; Survival Analysis; Time Factors; Vicia faba / growth & development
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Monotone approximation for a nonlinear size and class age structured epidemic model

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 8(3), 834–852.

By: H. Banks n, V. Bokil n & S. Hu n

co-author countries: United States of America 🇺🇸
author keywords: size and class age structured models; well-posedness; monotone approximations; comparison principle
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Multiscale Considerations in Modeling of Nonlinear Elastomers

International Journal for Computational Methods in Engineering Science and Mechanics, 8(2), 53–62.

By: H. Banks n, N. Medhin n & G. Pinter*

co-author countries: United States of America 🇺🇸
author keywords: Nonlinear Partial Differential Equations; Computational Methods; Viscoelasticity; Hysteresis; Molecular Dynamics; Multiscale Modeling
Source: Crossref
Added: February 24, 2020

2007 journal article

Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 37(2), 177–218.

By: H. Banks n, B. Lewis* & H. Tran n

co-author countries: United States of America 🇺🇸
author keywords: nonlinear feedback control; nonlinear compensator; state-dependent Riccati equations
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space

Mathematical Biosciences and Engineering, 4(3), 403–430.

By: H. Banks n, S. Dediu n & H. Nguyen n

co-author countries: United States of America 🇺🇸
MeSH headings : Algorithms; Computer Simulation; Models, Biological; Sensitivity and Specificity
Source: NC State University Libraries
Added: August 6, 2018

2007 journal article

Stochastic and deterministic models for agricultural production networks

Mathematical Biosciences and Engineering, 4(3), 373–402.

By: P. Bai*, H. Banks n, S. Dediu n, A. Govan n, M. Last, A. Lloyd n, H. Nguyen*, M. Olufsen n, G. Rempala*, B. Slenning n

co-author countries: United States of America 🇺🇸

Contributors: P. Bai*, H. Banks n, S. Dediu n, A. Govan n, M. Last, A. Lloyd n, H. Nguyen*, M. Olufsen n, G. Rempala*, B. Slenning n

MeSH headings : Animal Husbandry / methods; Animal Husbandry / organization & administration; Animals; Animals, Domestic; Computer Simulation; Models, Biological; Models, Organizational; Models, Statistical; Stochastic Processes; Swine / growth & development
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 article

Time delay systems with distribution dependent dynamics

ANNUAL REVIEWS IN CONTROL, Vol. 31, pp. 17–26.

By: H. Banks n, S. Dediu n & H. Nguyen n

co-author countries: United States of America 🇺🇸
author keywords: inverse dynamics problem; probability distribution function; sensitivity analysis; biomedical systems
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Using mathematical modeling and control to develop structured treatment interruption strategies for HIV infection

DRUG AND ALCOHOL DEPENDENCE, 88, S41–S51.

By: E. Rosenberg n, M. Davidian n & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: STI; CD4; HIV dynamics; drug resistance; viral load
MeSH headings : CD4 Antigens / immunology; HIV Infections / drug therapy; HIV Infections / immunology; Humans; Models, Theoretical
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 article

Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling

Banks, H. T., Luke, N. S., & Samuels, J. R., Jr. (2007, July). NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Vol. 23, pp. 817–831.

By: H. Banks n, N. Luke n & J. Samuels n

co-author countries: United States of America 🇺🇸
author keywords: viscoelastic polymers; constitutive models; biotissue; stenosis; shear wave propagation
Source: Web Of Science
Added: August 6, 2018

2006 journal article

A state-dependent Riccati equation-based estimator approach for HIV feedback control

OPTIMAL CONTROL APPLICATIONS & METHODS, 27(2), 93–121.

By: H. Banks n, H. Kwon*, J. Toivanen n & H. Tran n

co-author countries: Korea (Republic of) 🇰🇷 United States of America 🇺🇸
author keywords: multidrug therapies; feedback control; estimator; HIV model; SDRE
Sources: Web Of Science, ORCID
Added: August 6, 2018

2006 journal article

Determination of interrogating frequencies to maximize electromagnetic backscatter from objects with material coatings

Communications in Computational Physics, 1(2), 362–382.

By: H. Banks, K. Ito & J. Toivanen

Source: NC State University Libraries
Added: August 6, 2018

2006 journal article

Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters

QUARTERLY OF APPLIED MATHEMATICS, 64(4), 749–795.

By: H. Banks n & N. Gibson n

co-author countries: United States of America 🇺🇸
author keywords: electromagnetic interrogation; pulsed antenna source microwaves; inverse problems; complex dielectric materials; distributions of relaxation parameters and mechanisms
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Homogenization of periodically varying coefficients in electromagnetic materials

JOURNAL OF SCIENTIFIC COMPUTING, 28(2-3), 191–221.

By: H. Banks n, V. Bokil n, D. Cioranescu*, N. Gibson n, G. Griso* & B. Miara*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: Homogenization; Maxwell's equations; debye dielectric materials; pulsed antenna source microwaves
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Material surface design to counter electromagnetic interrogation of targets

SIAM JOURNAL ON APPLIED MATHEMATICS, 66(3), 1027–1049.

By: H. Banks*, K. Ito*, G. Kepler* & J. Toivanen*

author keywords: electromagnetic; inverse scattering; attenuation
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Sensitivity of dynamical systems to Banach space parameters

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 323(1), 146–161.

By: H. Banks* & H. Nguyen*

co-author countries: United States of America 🇺🇸
author keywords: sensitivity equations; delay differential equations; approximation
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Void detection in foam with knit lines using THz pulse interrogation

MATHEMATICAL AND COMPUTER MODELLING, 44(9-10), 807–815.

By: H. Banks n & N. Gibson n

co-author countries: United States of America 🇺🇸
author keywords: terahertz electromagnetic waves; heterogeneous materials; numerical simulations
Source: Web Of Science
Added: August 6, 2018

2005 journal article

A computational and statistical framework for multidimensional domain acoustooptic material interrogation

QUARTERLY OF APPLIED MATHEMATICS, 63(1), 156–200.

By: H. Banks n & V. Bokil n

co-author countries: United States of America 🇺🇸
author keywords: electromagnetic-acoustic interaction; Debye dielectric materials; pulsed antenna source microwaves; inverse problems; FDTD; statistical inference
Source: Web Of Science
Added: August 6, 2018

2005 journal article

A hierarchical Bayesian approach for parameter estimation in HIV models

INVERSE PROBLEMS, 21(6), 1803–1822.

By: H. Banks n, S. Grove n, S. Hu n & Y. Ma*

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2005 journal article

A parameter sensitivity methodology in the context of HIV delay equation models

JOURNAL OF MATHEMATICAL BIOLOGY, 50(6), 607–625.

By: H. Banks n & D. Bortz*

co-author countries: United States of America 🇺🇸
author keywords: sensitivity analysis; parameter sensitivity methodology; HIV Models
MeSH headings : Computer Simulation; HIV / growth & development; HIV Infections / virology; Humans; Models, Biological; Virus Replication
Source: Web Of Science
Added: August 6, 2018

2005 article

A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue

MULTISCALE MODELING & SIMULATION, Vol. 3, pp. 395–412.

By: H. Banks* & G. Pinter

author keywords: multiscale modeling; hysteresis; wave propagation; biotissues; probability measures; Prohorov metric
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Gap detection with electromagnetic terahertz signals

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 6(2), 381–416.

By: H. Banks n, N. Gibson* & W. Winfree*

co-author countries: United States of America 🇺🇸
author keywords: electromagnetic interrogation; dielectrics; terahertz; nonlinear optimization
Source: Web Of Science
Added: August 6, 2018

2005 journal article

HIV dynamics: Modeling, data analysis, and optimal treatment protocols

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 184(1), 10–49.

By: B. Adams n, H. Banks n, M. Davidian n, H. Kwon n, H. Tran n, S. Wynne n, E. Rosenberg*

co-author countries: United States of America 🇺🇸
author keywords: HIV models; parameter estimation; data and model reduction; structured treatment interruptions; optimal control
Sources: Web Of Science, ORCID
Added: August 6, 2018

2005 journal article

Parameter estimation in a coupled system of nonlinear size-structured populations

Mathematical Biosciences and Engineering, 2(2), 289–315.

By: A. Ackleh*, H. Banks*, K. Deng & S. Hu n

co-author countries: United States of America 🇺🇸
Source: NC State University Libraries
Added: August 6, 2018

2005 journal article

Population dynamics models in plant-insect herbivore-pesticide interactions

MATHEMATICAL BIOSCIENCES, 196(1), 39–64.

By: B. Adams n, H. Banks n, J. Banks* & J. Stark*

co-author countries: United States of America 🇺🇸
author keywords: plant-insect interactions; inverse problems; hypothesis testing; standard errors in dynamical models
MeSH headings : Animals; Aphids / physiology; Brassica / drug effects; Brassica / parasitology; Brassica / physiology; Insecta / physiology; Insecticides / pharmacology; Mathematics; Models, Biological; Plant Diseases / parasitology; Plant Physiological Phenomena; Plants / drug effects; Plants / parasitology; Population Dynamics
Source: Web Of Science
Added: August 6, 2018

2005 article

Time domain electromagnetic scattering using finite elements and perfectly matched layers

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol. 194, pp. 149–168.

By: H. Banks n & B. Browning n

co-author countries: United States of America 🇺🇸
author keywords: scattering; Debye; perfectly matched layers; absorbing boundary condition
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Well-posedness in Maxwell systems with distributions of polarization relaxation parameters

APPLIED MATHEMATICS LETTERS, 18(4), 423–430.

By: H. Banks n & N. Gibson n

co-author countries: United States of America 🇺🇸
author keywords: well-posedness; Maxwell's equations with polarization; relaxation parameters
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Well-posedness results for a class of toxicokinetic models

Dynamic Systems and Applications, 14(2), 297–322.

By: H. Banks & L. Potter

Source: NC State University Libraries
Added: August 6, 2018

2004 journal article

Dynamic multidrug therapies for HIV: Optimal and STI control approaches

Mathematical Biosciences and Engineering, 1(2), 223–241.

By: B. Adams n, H. Banks*, H. Kwon* & H. Tran n

co-author countries: United States of America 🇺🇸
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2004 journal article

High-frequency pulse propagation in nonlinear dielectric materials

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 5(4), 597–612.

By: H. Banks* & G. Pinter*

author keywords: Maxwell's equations; nonlinear dielectrics; terahertz pulse propagation
Source: Web Of Science
Added: August 6, 2018

2004 journal article

Modeling and optimal regulation of erythropoiesis subject to benzene intoxication

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 1(1), 15–48.

By: H. Banks*, C. Cole, P. Schlosser & H. Tran*

author keywords: hematopoiesis; age-structured model; existence and uniqueness; optimal control
Sources: Web Of Science, ORCID
Added: August 6, 2018

2004 journal article

Nonlinear reptation in molecular based hysteresis models for polymers

QUARTERLY OF APPLIED MATHEMATICS, 62(4), 767–779.

By: H. Banks*, N. Medhin* & G. Pinter*

author keywords: viscoelastic; hysteresis; polymers; molecular models; relaxation times; probability; distributions; uncertainty
Source: Web Of Science
Added: August 6, 2018

2004 journal article

Probabilistic methods for addressing uncertainty and variability in biological models: application to a toxicokinetic model

MATHEMATICAL BIOSCIENCES, 192(2), 193–225.

By: H. Banks n & L. Potter*

co-author countries: United States of America 🇺🇸
author keywords: parameter estimation; biological modeling; population variability; model uncertainty; toxicokinetics; trichloroethylene
MeSH headings : Animals; Environmental Pollutants / pharmacokinetics; Environmental Pollutants / toxicity; Humans; Mathematics; Models, Biological; Models, Statistical; Pharmacokinetics; Trichloroethylene / pharmacokinetics; Trichloroethylene / toxicity
Source: Web Of Science
Added: August 6, 2018

2004 journal article

Well-posedness for a nonsmooth acoustic system

Applied Mathematics Letters, 17(3), 317–322.

By: H. Banks & J. Raye

Source: NC State University Libraries
Added: August 6, 2018

2004 journal article

Well-posedness for a nonsmooth acoustic system

Applied Mathematics Letters, 17(3), 317–322.

By: H. Banks n & J. Raye n

co-author countries: United States of America 🇺🇸
author keywords: well-posedness; wave equations; acoustics
Source: Crossref
Added: February 24, 2020

2003 journal article

Acoustic attenuation employing variable wall admittance

Directions in Mathematical Systems Theory and Optimization (Lecture Notes in Control and Information Sciences; 286), (2003), 15–26.

By: H. Banks, K. Furati, K. Ito, N. Luke & C. Smith

Ed(s): C. A. Rantzer

Source: NC State University Libraries
Added: August 6, 2018

2003 book

Bioterrorism: Mathematical modeling applications in homeland security

Philadelphia, PA: Society for Industrial and Applied Mathematics.

By: H. Banks & C. Castillo-Chavez

Source: NC State University Libraries
Added: August 6, 2018

2003 journal article

Incorporation of variability into the modeling of viral delays in HIV infection dynamics

MATHEMATICAL BIOSCIENCES, 183(1), 63–91.

By: H. Banks n, D. Bortz* & S. Holte*

co-author countries: United States of America 🇺🇸
author keywords: HIV pathogenesis; eclipse phase; variability; non-linear delay equations
MeSH headings : Computer Simulation; HIV / physiology; HIV Infections / virology; Humans; Models, Biological; Nonlinear Dynamics; Numerical Analysis, Computer-Assisted; Probability; Virus Replication
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Maxwell-systems with nonlinear polarization

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 4(3), 483–501.

By: H. Banks n & G. Pinter*

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2002 journal article

A computational model for sound field absorption by acoustic arrays

Journal of Intelligent Material Systems and Structures, 13(4), 231–240.

By: H. Banks, D. Cole, K. Furati, K. Ito & G. Pinter

Source: NC State University Libraries
Added: August 6, 2018

2002 journal article

A finite difference approximation for a coupled system of nonlinear size-structured populations

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 50(6), 727–748.

By: A. Ackleh*, H. Banks n & K. Deng*

co-author countries: United States of America 🇺🇸
author keywords: coupled system of size-structured populations; existence-uniqueness; finite difference approximation; competition; extinction; survival
Source: Web Of Science
Added: August 6, 2018

2002 journal article

A nonlinear beam equation

APPLIED MATHEMATICS LETTERS, 15(3), 381–387.

By: A. Ackleh*, H. Banks n & G. Pinter n

co-author countries: United States of America 🇺🇸
author keywords: well posedness; locally Lipschitz nonlinear elastic systems
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Analysis of bonded elastic blocks

MATHEMATICAL AND COMPUTER MODELLING, 36(7-8), 875–888.

By: H. Banks n, G. Pinter* & O. Yeoh*

co-author countries: United States of America 🇺🇸
author keywords: elasticity; compression; incompressibility; near incompressibility; partial differential equations; finite element simulations
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Analysis of thermal conductivity in composite adhesives

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 23(7-8), 705–745.

By: H. Banks n & K. Bihari n

co-author countries: United States of America 🇺🇸
author keywords: thermal conductivity; composite adhesives; well-posedness; inverse problems; sensitivity equations
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Analytical and numerical treatment of a curved active constrained layer structure

Dynamic Systems and Applications, 11(1), 75–87.

By: H. Banks, N. Begashaw & N. Medhin

Source: NC State University Libraries
Added: August 6, 2018

2002 review

Compression of bonded rubber blocks

[Review of ]. RUBBER CHEMISTRY AND TECHNOLOGY, 75(3), 549–561.

By: O. Yeoh*, G. Pinter* & H. Banks n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Identification of material damage in two-dimensional domains using the SQUID-based nondestructive evaluation system

INVERSE PROBLEMS, 18(6), 1831–1855.

By: H. Banks n & F. Kojima*

co-author countries: Japan 🇯🇵 United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Model predictions and comparisons for three toxicokinetic models for the systemic transport of trichloroethylene

MATHEMATICAL AND COMPUTER MODELLING, 35(9-10), 1007–1032.

By: H. Banks n & L. Potter n

co-author countries: United States of America 🇺🇸
author keywords: PBPK modeling; TCE adipose tissue; PDE systems; dispersion
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Nondestructive evaluation of materials using pulsed microwave interrogating signals and acoustic wave induced reflections

INVERSE PROBLEMS, 18(6), 1935–1958.

By: R. Albanese*, H. Banks n & J. Raye n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Physiologically based pharmacokinetic models for the transport of trichloroethylene in adipose tissue

BULLETIN OF MATHEMATICAL BIOLOGY, 64(1), 97–131.

By: R. Albanese, H. Banks n, M. Evans* & L. Potter*

co-author countries: United States of America 🇺🇸
MeSH headings : Adipose Tissue / metabolism; Animals; Computer Simulation; Humans; Models, Biological; Rats; Rats, Sprague-Dawley; Trichloroethylene / pharmacokinetics
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Proper orthogonal decomposition-based control of transverse beam vibrations: Experimental implementation

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 10(5), 717–726.

By: H. Banks n, R. Rosario n & H. Tran n

co-author countries: Philippines 🇵🇭 United States of America 🇺🇸
author keywords: Euler-Bernoulli beam equation; feedback control; linear quadratic Gaussian (LQG); proper orthogonal decomposition (POD); reduced order model
Sources: Web Of Science, ORCID
Added: August 6, 2018

2002 journal article

Real time computational algorithms for eddy-current-based damage detection

INVERSE PROBLEMS, 18(3), 795–823.

By: H. Banks n, M. Joyner n, B. Wincheski* & W. Winfree*

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Reduced order modeling and control of thin film growth in an HPCVD reactor

SIAM JOURNAL ON APPLIED MATHEMATICS, 62(4), 1251–1280.

By: H. Banks*, S. Beeler, G. Kepler* & H. Tran*

author keywords: chemical vapor deposition; reduced order model; nonlinear feedback tracking control; nonlinear compensator; state-dependent Riccati equations
Sources: Web Of Science, ORCID
Added: August 6, 2018

2002 journal article

Well-posedness for systems representing electromagnetic/acoustic wavefront interaction

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 8, 105–125.

By: H. Banks n & J. Raye n

co-author countries: United States of America 🇺🇸
author keywords: electromagnetic interrogation; acoustic wave reflectors; existence and uniqueness
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Well-posedness results for models of elastomers

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 268(2), 440–456.

By: A. Ackleh*, H. Banks n & G. Pinter n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Compensator control for chemical vapor deposition film growth using reduced-order design models

IEEE TRANSACTIONS ON SEMICONDUCTOR MANUFACTURING, 14(3), 231–241.

By: G. Kepler n, H. Tran n & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: compensators; CVD; feedback control; reduced order
Sources: Web Of Science, ORCID
Added: August 6, 2018

2001 article

Convergence of approximations in feedback control of structures

MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 65–78.

By: H. Banks n & R. Rosario n

co-author countries: United States of America 🇺🇸
author keywords: feedback control; approximation; LQR; control convergence
Source: Web Of Science
Added: August 6, 2018

2001 article

Dynamic simulation of the temporal response of microstructure formation in magnetorheological fluids

Ly, H. V., Ito, K., Banks, H. T., Jolly, M. R., & Reitich, F. (2001, March 20). INTERNATIONAL JOURNAL OF MODERN PHYSICS B, Vol. 15, pp. 894–903.

By: H. Ly n, K. Ito n, H. Banks n, M. Jolly* & F. Reitich*

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Graduate education in computational science and engineering

SIAM Review, 43(1), 163–177.

By: L. Petzold, U. Ascher, H. Banks, J. Crowley, W. Gander, L. Greengard, M. Heath, A. Lumsdaine ...

Source: NC State University Libraries
Added: August 6, 2018

2001 journal article

Modelling and estimating uncertainty in parameter estimation

INVERSE PROBLEMS, 17(1), 95–111.

By: H. Banks n & K. Bihari n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Nonlinear exothermic contributions to radio-frequency bonding of adhesives

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2(3), 357–386.

By: H. Banks n, M. Choi n, . Durso* & K. Ito n

co-author countries: United States of America 🇺🇸
author keywords: radio-frequency electromagnetic bonding; nonlinear thermal processes; operator splitting; existence and uniqueness
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Piecewise linear model for field-responsive fluids

IEEE TRANSACTIONS ON MAGNETICS, 37(1), 558–560.

By: C. Lee*, F. Reitich*, M. Jolly* & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: field-responsive fluids; Frohlich-Kennelly; nonlinear saturation; piecewise linear models
Source: Web Of Science
Added: August 6, 2018

2001 article

Predictions for a distributed parameter model describing the hepatic processing of 2,3,7,8-TCDD

MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 49–64.

By: H. Banks n, C. Musante n & J. Raye n

co-author countries: United States of America 🇺🇸
author keywords: distributed parameter models; pharmacokinetic models; 2,3,7,8-tetrachlorodibenzopdioxin; liver transport models; delay equations
Source: Web Of Science
Added: August 6, 2018

2001 article

Remarks on uncertainty assessment and management in modeling and computation

MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 39–47.

By: H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: computational uncertainty; inverse problems; probability distributions
Source: Web Of Science
Added: August 6, 2018

2001 article

The effective magnetic properties of magnetorheological fluids

MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 273–284.

By: T. Simon n, F. Reitich*, M. Jolly*, K. Ito n & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: magnetorheological fluids; homogenization; effective properties
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Approximation methods for inverse problems governed by nonlinear parabolic systems

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 21(7-8), 791–816.

By: H. Banks*, C. Musante & J. Raye*

author keywords: inverse problems; nonlinear parabolic systems; approximation techniques; least squares optimization; computational methods
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Feedback control methodologies for nonlinear systems

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 107(1), 1–33.

By: S. Beeler n, H. Tran n & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: nonlinear optimal feedback control; Hamilton-Jacobi-Bellman equation; state-dependent Riccati equation; interpolation of open-loop controls
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 journal article

Nondestructive evaluation using a reduced-order computational methodology

INVERSE PROBLEMS, 16(4), 929–945.

By: H. Banks n, M. Joyner n, B. Wincheski* & W. Winfree*

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Reduced order model compensator control of species transport in a CVD reactor

OPTIMAL CONTROL APPLICATIONS & METHODS, 21(4), 143–160.

By: G. Kepler n, H. Tran n & H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: linear quadratic control; proper orthogonal decomposition; reduced order model; chemical vapour deposition; Dirichlet boundary control
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 journal article

Reduced-order model feedback control design: Numerical implementation in a thin shell model

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 45(7), 1312–1324.

By: H. Banks n, R. Rosario n & R. Smith n

co-author countries: United States of America 🇺🇸
author keywords: LQR feedback control; proper orthogonal decomposition; reduced-basis computational methods; thin shell dynamics
Sources: Web Of Science, ORCID
Added: August 6, 2018

1999 journal article

Approximation results for parameter estimation in a class of abstract nonlinear hyperbolic systems

APPLIED MATHEMATICS LETTERS, 12(6), 129–133.

By: H. Banks n & G. Pinter n

co-author countries: United States of America 🇺🇸
author keywords: nonlinear hyperbolic systems; parameter estimation; approximation
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Estimation of the effective permeability in magnetorheological fluids

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 10(11), 872–879.

By: T. Simon, K. Ito*, H. Banks n, F. Reitich* & M. Jolly*

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Modeling of nonlinear hysteresis in elastomers under uniaxial tension

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 10(2), 116–134.

By: H. Banks*, G. Pinter, L. Potter n, M. Gaitens & L. Yanyo*

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Optimal design of a high pressure organometallic chemical vapor deposition reactor

MATHEMATICAL AND COMPUTER MODELLING, 29(8), 65–80.

By: K. Bachmann n, H. Banks n, C. Hopfner*, G. Kepler n, S. LeSure n, S. McCall n, J. Scroggs n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Pointwise convergence of approximation schemes for parameter estimation in parabolic equations

APPLIED MATHEMATICS LETTERS, 12(7), 27–30.

By: H. Banks n & L. Zia*

co-author countries: United States of America 🇺🇸
author keywords: finite elements; bicubic splines; 2-D domain; transport models; parameter estimation
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Regularity and approximation of systems arising in electromagnetic interrogation of dielectric materials

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 20(7-8), 609–627.

By: H. Banks n & J. Zou*

co-author countries: China 🇨🇳 United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Remarks on well-posedness theorems for damped second-order systems

APPLIED MATHEMATICS LETTERS, 12(6), 21–24.

By: H. Banks n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Simulations of particle dynamics in magnetorheological fluids

JOURNAL OF COMPUTATIONAL PHYSICS, 155(1), 160–177.

By: H. Ly n, E. Reitich*, M. Jolly*, H. Banks n & K. Ito n

co-author countries: United States of America 🇺🇸
author keywords: particle dynamics; fast multipole method; MR fluids; effective permeability; response time scale
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Well-posedness for a class of abstract nonlinear parabolic systems with time delay

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 35(5), 629–648.

By: H. Banks n & C. Musante n

co-author countries: United States of America 🇺🇸
author keywords: nonlinear parabolic distributed parameter systems with delays; existence; uniqueness; variational form; toxicokinetic modeling; liver transport models
Source: Web Of Science
Added: August 6, 2018

1998 journal article

A dispersion model for the hepatic uptake and elimination of 2,3,7,8-tetrachlorodibenzo-p-dioxin

MATHEMATICAL AND COMPUTER MODELLING, 28(1), 9–29.

By: H. Banks n, C. Musante n & H. Tran n

co-author countries: United States of America 🇺🇸
author keywords: physiologically-based pharmacokinetic (PBPK) model; 2,3,7,8-tetrachlorodibenzo-p-dioxin (TCDD); liver transport models; nonlinear partial differential equations; delay equations
Sources: Web Of Science, ORCID
Added: August 6, 2018

1998 journal article

Detection of non-symmetrical damage in smart plate-like structures

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 9(10), 818–828.

By: H. Banks n & P. Emeric n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

1998 journal article

On the existence of normal modes of damped discrete-continuous systems

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 65(4), 980–989.

By: H. Banks n, Z. Luo*, L. Bergman* & D. Inman*

co-author countries: Japan 🇯🇵 United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

1998 journal article

On the radio-frequency inputs in dipolar heating of adhesives

Journal of Microwave Power and Electromagnetic Energy, 33(4), 231–242.

By: H. Banks*, S. Durso, M. Goodhart & M. Joyner*

Source: NC State University Libraries
Added: August 6, 2018

1998 journal article

Real-time monitoring of steady-state pulsed chemical beam epitaxy by p-polarized reflectance

JOURNAL OF CRYSTAL GROWTH, 183(3), 323–337.

By: K. Bachmann n, N. Sukidi n, C. Hopfner n, C. Harris n, N. Dietz n, H. Tran n, S. Beeler n, K. Ito n, H. Banks n

co-author countries: United States of America 🇺🇸
author keywords: p-polarized reflectance; surface kinetics; chemical beam epitaxy; real-time process monitoring
Sources: Web Of Science, ORCID
Added: August 6, 2018

1998 journal article

Utilization of coupling effects in compensator design for structural acoustic systems

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 103(2), 872–887.

By: H. Banks n, M. Demetriou* & R. Smith*

co-author countries: United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: August 6, 2018

1997 journal article

Computational methods for a curved beam with piezoceramic patches

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 8(3), 260–278.

By: H. Banks* & Y. Zhang n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

1997 journal article

Experimental confirmation of a PDE-based approach to design of feedback controls

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 35(4), 1263–1296.

By: H. Banks*, R. Smith*, D. Brown, R. Silcox & V. Metcalf

author keywords: feedback control; piezoceramic actuators; PDE model
Sources: Web Of Science, ORCID
Added: August 6, 2018

1997 journal article

Identification of hysteretic control influence operators representing smart actuators part I: Formulation

MATHEMATICAL PROBLEMS IN ENGINEERING, 3(4), 287–328.

By: H. Banks n, A. Kurdila* & G. Webb*

co-author countries: United States of America 🇺🇸
author keywords: hysteretic Preisach operators; smart materials; evolution equations; identification
Source: Web Of Science
Added: August 6, 2018

1997 journal article

Identification of hysteretic control influence operators representing smart actuators, Part II: Convergent approximations

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 8(6), 536–550.

By: H. Banks n, A. Kurdila & G. Webb*

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

1997 journal article

Modeling of nonsymmetrical damage in plate-like structures

MATHEMATICAL AND COMPUTER MODELLING, 26(3), 55–65.

By: H. Banks n, P. Emeric n & L. Plancke*

co-author countries: France 🇫🇷 United States of America 🇺🇸
author keywords: damped elastic plates; in-plane dynamic vibrations; nonsymmetric damage; well-posedness
Source: Web Of Science
Added: August 6, 2018

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