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)

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.

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.

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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