Updated: April 11th, 2023 10:13

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

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

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

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

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

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

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

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

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

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

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

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.

Source: Web Of Science

Added: August 6, 2018