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).

author keywords: Ecological momentary assessment data; Generalized estimating equations; Generalized linear mixed models; Markov models; Generalized linear mixed-effects Markov models; Differential equations

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).

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.

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.

author keywords: plant-insect interactions; inverse problems; hypothesis testing and standard errors in dynamical models; aggregate data; Prohorov metric

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.

author keywords: Hymenoptera; Neonicitinoid; Delay differential equation

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.

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.

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.

author keywords: liver disease; zonation; computational inverse models; dispersion in flows; compartments-in-series models

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.

author keywords: agricultural pests; allometry; body mass; conservation biological control; herbivore suppression; multitrophic functioning; predator-prey interactions; species traits

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.

author keywords: aggregate data; CAR T-cell therapy; cancer model; inverse problems; design of experiments

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.

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.

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*.

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.

author keywords: Population model; data fitting; inverse problems; weighted least squares; generalized least squares; biological control; Homalodisca vitripennis; Gonatocerus ashmeadi; Cosmocomoidea ashmeadi; density dependence

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.

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.

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.

author keywords: Glioblastoma multiforme; Random differential equation; Parameter estimation

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).

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.

author keywords: Global optimization; Acceptance rejection sampling; Mathematical modeling; Ordinary differential equations; Genetic algorithm; Metropolis-Hastings

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.

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.

author keywords: Dynamic modeling; pest management; optimal experimental design; constrained optimization; ecoinformatics

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.

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.

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.

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.

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.

author keywords: Polymerization; Aggregation-fragmentation models; Finite volume schemes; Adaptive grid

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.

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.

author keywords: Continuous structured population models; Inverse problems; Generalized least squares; Model selection; Information content; Residual plots

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.

author keywords: Mathematical psychology; Inverse problems; Iterative weighted least squares; Behavior change; Personalized medicine

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.

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.

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.

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.

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.

author keywords: Inverse problem; ordinary least squares; generalized least squares; model selection; information content; bootstrapping; residual plots; linear splines; hemiptera; herbivory; pest suppression; pesticide

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.

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.

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.

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.

author keywords: Demographic data; inverse problem; ordinary least squares; information content; adaptive feedback

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.

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.

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).

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.

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.

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.

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.

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.

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.

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.

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.

author keywords: Acoustic properties; Acoustic localisation; Coronary artery; Elastic moduli; Poisson's ratio; Shear modulus; Shear wave; Stenosis; Tissue mimicking material; Viscoelasticity

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.

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.

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.

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

Sources: NC State University Libraries, Crossref

Added: August 6, 2018

2015 journal article

Immuno-modulatory strategies for reduction of HIV reservoir cells

*JOURNAL OF THEORETICAL BIOLOGY*, *372*, 146–158.

author keywords: Immune response; Mathematical model; Inverse problem; Stability analysis

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.

author keywords: inverse problems; polyglutamine and aggregation modelling; information content; sensitivity; uncertainty quantification; 65M32; 62P10; 64B10; 49Q12

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.

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.

author keywords: Electromagnetic inverse problems; optimal design in 3D EEG analysis; parameter estimation; asymptotic error analysis

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.

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.

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.

author keywords: Sensitivity analysis; Structured population model; Uncertainty quantification; Density-dependence; Multi-scale data; Daphnia magna

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.

Source: Web Of Science

Added: August 6, 2018

2014 journal article

DYNAMIC MODELING OF BEHAVIOR CHANGE

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

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.

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.

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.

author keywords: Viscoelastic model; sensitivity analysis; inverse problem; asymptotic theory

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.

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.

author keywords: immunology; flow cytometry; cyton models; mathematical and statistical models; label dynamics; parameter estimation; cellular models

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.

Source: Crossref

Added: February 24, 2020

2013 journal article

Experimental design for distributed parameter vector systems

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

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.

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.

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.

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.

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.

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.

author keywords: Dynamical models; continuous time Markov chain models; stochastic simulation algorithms; Gillespie; tau-leaping; bacterial and viral infection models

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.

author keywords: Cell proliferation; cell division number; CFSE; label structured population dynamics; partial differential equations; inverse problems

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.

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

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.

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.

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.

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.

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.

author keywords: renal transplant; human cytomegalovirus; mathematical model; optimal feedback control; state estimation; model predictive control

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.

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.

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.

Sources: NC State University Libraries, Crossref

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.

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.

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.

author keywords: Cell proliferation; Cell division number; CFSE; Label structured population dynamics; Partial differential equations; Inverse problems

Source: Web Of Science

Added: August 6, 2018

2011 journal article

Comparison of optimal design methods in inverse problems

*Inverse Problems*, *27*(7), 075002.

Sources: NC State University Libraries, Crossref

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.

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.

author keywords: Cell proliferation; CFSE; Label structured population dynamics; Partial differential equations; Inverse problems

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.

author keywords: HIV; Innate inflammatory response pathway; Regulatory response pathway; Mathematical model

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.

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.

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.

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.

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.

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.

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

Label structured cell proliferation models

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

author keywords: Arterial wall properties; data analysis; mathematical modeling; mechanics; parameter estimation; viscoelasticity

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.

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.

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.

Sources: NC State University Libraries, Crossref

Added: August 6, 2018

2009 book

Mathematical and experimental modeling of physical and biological processes

Boca Raton : CRC Press.

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.

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.

author keywords: effective reproductive number; basic reproduction ratio; reproduction number; R; R(t); R-0; parameter estimation; generalized least squares; residual plots

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

author keywords: approximation; asymptotic standard error theory; confidence bands; parameter estimation; probability distributions; size-structured populations

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.

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.

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.

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.

author keywords: reactivation of latent virus; mathematical model; KSHV; Herpes virus

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.

author keywords: HIV models; treatment interruptions; censored data; parameter estimation; prediction

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.

author keywords: population models; Leslie; Sinko-Streifer; McKendrick-VonForester; time-dependent parameters

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.

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.

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.

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.

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.

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.

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.

author keywords: STI; CD4; HIV dynamics; drug resistance; viral load

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

author keywords: sensitivity analysis; parameter sensitivity methodology; HIV Models

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.

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.

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.

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.

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.

author keywords: plant-insect interactions; inverse problems; hypothesis testing; standard errors in dynamical models

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.

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.

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.

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.

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.

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.

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.

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.

author keywords: parameter estimation; biological modeling; population variability; model uncertainty; toxicokinetics; trichloroethylene

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.

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.

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.

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.

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.

author keywords: HIV pathogenesis; eclipse phase; variability; non-linear delay equations

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

Source: Web Of Science

Added: August 6, 2018

2001 journal article

Graduate education in computational science and engineering

*SIAM Review*, *43*(1), 163–177.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

author keywords: damped elastic plates; in-plane dynamic vibrations; nonsymmetric damage; well-posedness

Source: Web Of Science

Added: August 6, 2018