Works (22)
Updated: July 5th, 2023 15:56
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
TL;DR:
A validated mathematical model combined with an inverse problem approach is used to predict the values for the missing endpoints in a small randomized HIV clinical trial.
(via Semantic Scholar)
europepmc.org (repository)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
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
TL;DR:
A mechanistic mathematical model of immune response to both BK virus infection and a donor kidney based on known and hypothesized mechanisms in the literature is developed and validated with bootstrapping techniques.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
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
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
MeSH headings : Agar / chemistry; Animals; Biomimetic Materials / chemistry; Coronary Stenosis / diagnostic imaging; Coronary Stenosis / physiopathology; Elastic Modulus; Humans; Phantoms, Imaging; Ultrasonography
TL;DR:
Measurements are reported for an agar-based tissue mimicking material of the shear wave propagation velocity, attenuation and viscoelastic constants, together with one dimensional quasi-static elastic moduli and Poisson’s ratio to provide baseline data required for the computational modelling of wave propagation in a phantom.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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 conference paper
Identification of thermal degradation using probabilistic models in reflectance spectroscopy
41st annual review of progress in quantitative nondestructive evaluation, vol 34, 1650, 1898–1906.
Source: 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.
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
TL;DR:
The findings indicate that the strategy of reactivating the reservoir combined with enhancement of the killing rate of HIV-specific CD8+ T cells is able to eradicate the reservoir.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
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
TL;DR:
This work revisits a method for temporally discontinuous Galerkin FEMs applied to a parabolic partial differential equation and applies this DG-in-time methodology, for the first time, to second-order wave equations including elastodynamics with and without Kelvin–Voigt and Maxwell–Zener viscoelasticity.
(via Semantic Scholar)
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
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
TL;DR:
A method has been proposed to detect shear waves in the chest cavity which have been generated by disturbances in the blood flow resulting from a stenosis by using one-dimensional shear wave experimental data from novel acoustic phantoms to validate a corresponding viscoelastic mathematical model.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
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
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
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
TL;DR:
The numerical results suggest that the SSA is the best choice due to its simplicity and accuracy for the simpler VRE model, and with the larger and more complex HIV model, implementation and modification of tau-Leaping methods are preferred.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
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
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
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
TL;DR:
A mathematical model is formulated to describe the immune response to both viral infection and introduction of a donor kidney in a renal transplant recipient, and a computational framework for designing adaptive optimal treatment regimes with partial observations and low-frequency sampling is developed.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Source: Web Of Science
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
TL;DR:
An overview of the subject for both elastic and viscoelastic materials is provided, including uses in civil engineering, the food industry, land mine detection and ultrasonic imaging, and some applications for these constitutive equations.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
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
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
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
TL;DR:
A model of the host inflammatory response to virus as well as inherent nTreg-mediated regulation of Th1 recruitment and activation is created to identify mechanisms of the natural inflammatory response that are best targeted to inhibit viral spread without compromising initial antiviral activity.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
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).
Source: NC State University Libraries
Added: August 6, 2018
2007 journal article
Comparison between stochastic and deterministic selection-mutation models
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 4(2), 133–157.
author keywords: selection-mutation models; competitive exclusion; coexistence; stochastic differential equations
MeSH headings : Algorithms; Animals; Biological Evolution; Computer Simulation; Genetic Variation / genetics; Genetics, Population; Humans; Models, Genetic; Models, Statistical; Mutation / genetics; Selection, Genetic; Stochastic Processes
TL;DR:
If the differences in the growth-to-mortality ratios are small in the pure selection case, it cannot be determined a priori which subpopulation will have the highest probability of surviving and winning the competition.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
15. Life on Land
(Web of Science)
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
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
On a nonlinear size-structured phytoplankton-zooplankton aggregation model
Dynamics of Continuous, Discrete & Impulsive Systems. Series A, Mathematical Analysis, 14(2), 265–285.
Source: NC State University Libraries
Added: August 6, 2018
2005 journal article
A hierarchical Bayesian approach for parameter estimation in HIV models
INVERSE PROBLEMS, 21(6), 1803–1822.
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
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