2022 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).
2022 journal article
Beyond body size-new traits for new heights in trait-based modelling of predator-prey dynamics
PLOS ONE, 17(7).
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.
2020 journal article
Lethal and sublethal effects of toxicants on bumble bee populations: a modelling approach
ECOTOXICOLOGY, 29(3), 237–245.
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.
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.
2019 journal article
Correctly modeling plant-insect-herbivore-pesticide interactions as aggregate data
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 17(2), 1743–1756.
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.
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.
2019 journal article
Modeling Zika Virus Transmission Dynamics: Parameter Estimates, Disease Characteristics, and Prevention
SCIENTIFIC REPORTS, 9.
2019 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.
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.
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.
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.
2018 journal article
Ecosystem function in predator-prey food webs-confronting dynamic models with empirical data
JOURNAL OF ANIMAL ECOLOGY, 88(2), 196–210.
2018 journal article
Estimating intratumoral heterogeneity from spatiotemporal data
JOURNAL OF MATHEMATICAL BIOLOGY, 77(6-7), 1999–2022.
2018 journal article
From theory to experimental design-Quantifying a trait-based theory of predator-prey dynamics
PLoS One, 13(4).
2018 journal article
IMMUNOSUPPRESSANT TREATMENT DYNAMICS IN RENAL TRANSPLANT RECIPIENTS: AN ITERATIVE MODELING APPROACH
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 24(6), 2781–2797.
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.
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.
2018 journal article
OPTIMAL DESIGN FOR DYNAMICAL MODELING OF PEST POPULATIONS
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 15(4), 993–1010.
2018 journal article
Optimal control of immunosuppressants in renal transplant recipients susceptible to BKV infection
Optimal Control Applications and Methods, 40(2), 292–309.
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.
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.
2017 journal article
AIC under the framework of least squares estimation
APPLIED MATHEMATICS LETTERS, 74, 33–45.
2017 journal article
Continuous Structured Population Models for Daphnia magna
Bulletin of Mathematical Biology, 79(11), 2627–2648.
2017 journal article
Dynamic Modeling of Problem Drinkers Undergoing Behavioral Treatment
BULLETIN OF MATHEMATICAL BIOLOGY, 79(6), 1254–1273.
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.
2017 journal article
Inverse problems and techniques with applications in the biological sciences
Inverse Problems in Science and Engineering, 26(2), 151–151.
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.
2017 journal article
Modeling bumble bee population dynamics with delay differential equations
ECOLOGICAL MODELLING, 351, 14–23.
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.
2016 journal article
A dynamical modeling approach for analysis of longitudinal clinical trials in the presence of missing endpoints
APPLIED MATHEMATICS LETTERS, 63, 109–117.
2016 journal article
A numerical scheme for the early steps of nucleation-aggregation models
JOURNAL OF MATHEMATICAL BIOLOGY, 74(1-2), 259–287.
2016 journal article
AN ADAPTIVE FEEDBACK METHODOLOGY FOR DETERMINING INFORMATION CONTENT IN STABLE POPULATION STUDIES
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 13(4), 653–671.
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.
2016 chapter
Modelling Pesticide Treatment Effects on Lygus hesperus in Cotton Fields
In IFIP Advances in Information and Communication Technology (pp. 95–106).
2016 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.
2016 journal article
On analytical and numerical approaches to division and label structured population models
APPLIED MATHEMATICS LETTERS, 60, 81–88.
2016 journal article
Parameter Estimation Using Unidentified Individual Data in Individual Based Models
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 11(6), 9–27.
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.
2016 article
Quantifying the degradation in thermally treated ceramic matrix composites
INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, Vol. 52, pp. 3–24.
2016 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.
2016 journal article
Statistical error model comparison for logistic growth of green algae (Raphidocelis subcapitata)
Applied Mathematics Letters, 64, 213–222.
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.
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.
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).
2015 journal article
Aggregate data and the Prohorov Metric Framework: Efficient gradient computation
APPLIED MATHEMATICS LETTERS, 56, 1–9.
2015 journal article
Characterisation of Elastic and Acoustic Properties of an Agar-Based Tissue Mimicking Material
ANNALS OF BIOMEDICAL ENGINEERING, 43(10), 2587–2596.
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.
2015 journal article
Estimation of time-varying mortality rates using continuous models for Daphnia magna
APPLIED MATHEMATICS LETTERS, 44, 12–16.
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
2015 journal article
Immuno-modulatory strategies for reduction of HIV reservoir cells
JOURNAL OF THEORETICAL BIOLOGY, 372, 146–158.
2015 journal article
Information content in data sets for a nucleated-polymerization model
JOURNAL OF BIOLOGICAL DYNAMICS, 9(1), 172–197.
2015 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.
2015 journal article
OPTIMAL DESIGN FOR PARAMETER ESTIMATION IN EEG PROBLEMS IN A 3D MULTILAYERED DOMAIN
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(4), 739–760.
2015 journal article
Optimal sampling frequency and timing of threatened tropical bird populations: A modeling approach
ECOLOGICAL MODELLING, 303, 70–77.
2015 journal article
Statistical validation of structured population models for Daphnia magna
Mathematical Biosciences, 266, 73–84.
2015 journal article
UNCERTAINTY QUANTIFICATION IN MODELING HIV VIRAL MECHANICS
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(5), 937–964.
2014 journal article
DYNAMIC MODELING OF BEHAVIOR CHANGE
QUARTERLY OF APPLIED MATHEMATICS, 72(2), 209–251.
2014 conference paper
Decomposition of permittivity contributions from reflectance using mechanism models
2014 american control conference (acc), 367–372.
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.
2014 journal article
MODEL VALIDATION FOR A NONINVASIVE ARTERIAL STENOSIS DETECTION PROBLEM
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 11(3), 427–448.
2014 journal article
Model comparison tests to determine data information content
APPLIED MATHEMATICS LETTERS, 43, 10–18.
2014 journal article
Optimal design of non-equilibrium experiments for genetic network interrogation
APPLIED MATHEMATICS LETTERS, 40, 84–89.
2014 conference paper
Uncertainty quantification for a model of HIV-1 patient response to antiretroviral therapy interruptions
2014 american control conference (acc), 2753–2758.
2013 journal article
A Comparison of Stochastic Systems with Different Types of Delays
STOCHASTIC ANALYSIS AND APPLICATIONS, 31(6), 913–955.
2013 journal article
A novel statistical analysis and interpretation of flow cytometry data
JOURNAL OF BIOLOGICAL DYNAMICS, 7(1), 96–132.
2013 journal article
Acoustic localisation of coronary artery stenosis: Wave propagation in soft tissue mimicking gels
Artery Research, 7(3-4), 124.
2013 journal article
Experimental design for vector output systems
Inverse Problems in Science and Engineering, 22(4), 557–590.
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.
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.
2013 journal article
Quantifying CFSE label decay in flow cytometry data
APPLIED MATHEMATICS LETTERS, 26(5), 571–577.
2013 journal article
Towards computational diagnosis of coronary artery disease
Artery Research, 7(3-4), 123–124.
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.
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.
2012 journal article
A Monte Carlo based analysis of optimal design criteria
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 20(1), 1–37.
2012 book
A functional analysis framework for modeling, estimation, and control in science and engineering
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.
2012 journal article
A zero-sum electromagnetic evader-interrogator differential game with uncertainty
APPLICABLE ANALYSIS, 91(4), 645–674.
2012 journal article
Experimental design and inverse problems in plant biological modeling
Journal of Inverse and Ill-Posed Problems, 20(2), 169–191.
2012 journal article
Experimental design for distributed parameter vector systems
Applied Mathematics Letters, 26(1), 10–14.
2012 journal article
Mathematical Models of Dividing Cell Populations: Application to CFSE Data
Mathematical Modelling of Natural Phenomena, 7(5), 24–52.
2012 journal article
Modelling and optimal control of immune response of renal transplant recipients
JOURNAL OF BIOLOGICAL DYNAMICS, 6(2), 539–567.
2012 journal article
Preface. Distributed Parameter Systems in Immunology
Mathematical Modelling of Natural Phenomena, 7(5), 1–3.
2012 journal article
Propagation of Growth Uncertainty in a Physiologically Structured Population
Mathematical Modelling of Natural Phenomena, 7(5), 7–23.
2012 journal article
Thermal based methods for damage detection and characterization in porous materials
Inverse Problems, 28(6), 065021.
2011 review
A Brief Review of Elasticity and Viscoelasticity for Solids
[Review of ]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 3(1), 1–51.
2011 journal article
A DETERMINISTIC METHODOLOGY FOR ESTIMATION OF PARAMETERS IN DYNAMIC MARKOV CHAIN MODELS
JOURNAL OF BIOLOGICAL SYSTEMS, 19(1), 71–100.
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.
2011 journal article
Comparison of optimal design methods in inverse problems
Inverse Problems, 27(7), 075002.
2011 journal article
Dynamic evasion-interrogation games with uncertainty in the context of electromagetics
Numerical Mathematics: Theory, Methods and Applications, 4(3), 359–378.
2011 journal article
Host immune responses that promote initial HIV spread
JOURNAL OF THEORETICAL BIOLOGY, 289, 17–35.
2011 journal article
Parameter estimation for the heat equation on perforated domains
Journal of Inverse and Ill-Posed Problems, 19(6), 825–857.
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.
2010 journal article
DYNAMIC SOCIAL NETWORK MODELS INCORPORATING STOCHASTICITY AND DELAYS
QUARTERLY OF APPLIED MATHEMATICS, 68(4), 783–802.
2010 journal article
Electromagnetic interrogation and the Doppler shift using the method of mappings
MATHEMATICAL AND COMPUTER MODELLING, 51(5-6), 389–399.
2010 journal article
Estimation of Cell Proliferation Dynamics Using CFSE Data
BULLETIN OF MATHEMATICAL BIOLOGY, 73(1), 116–150.
2010 journal article
Generalized sensitivities and optimal experimental design
Journal of Inverse and Ill-Posed Problems, 18(1), 25–83.
2010 journal article
Label structured cell proliferation models
APPLIED MATHEMATICS LETTERS, 23(12), 1412–1415.
2010 journal article
Receding Horizon Control of HIV
OPTIMAL CONTROL APPLICATIONS & METHODS, 32(6), 681–699.
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.
2010 journal article
Thermal-based damage detection in porous materials
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 18(6), 835–851.
2010 journal article
Using inverse problem methods with surveillance data in pneumococcal vaccination
MATHEMATICAL AND COMPUTER MODELLING, 51(5-6), 369–388.
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.
2009 journal article
A sensitivity matrix based methodology for inverse problem formulation
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(6), 545–564.
2009 journal article
Detection of arterial occlusions using viscoelastic wave propagation
Advances in Applied Mathematics & Mechanics, 1(1), 1–28.
2009 journal article
Estimation in time-delay modeling of insecticide-induced mortality
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(2), 101–125.
2009 journal article
Experimental design and estimation of growth rate distributions in size-structured shrimp populations
Inverse Problems, 25(9), 095003.
2009 book
Mathematical and experimental modeling of physical and biological processes
Boca Raton : CRC Press.
2009 journal article
Public vaccination policy using an age-structured model of pneumococcal infection dynamics
Journal of Biological Dynamics, 4(2), 176–195.
2009 journal article
THE ESTIMATION OF THE EFFECTIVE REPRODUCTIVE NUMBER FROM DISEASE OUTBREAK DATA
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(2), 261–282.
2009 journal article
Viscoelastic models for passive arterial wall dynamics
Advances in Applied Mathematics & Mechanics, 1(2), 151–165.
2009 journal article
Well-posedness of inverse problems for systems with time dependent parameters
Arabian Journal for Science and Engineering, 34(1D), 39–58.
2008 review
A brief review of some approaches to hysteresis in viscoelastic polymers
[Review of ]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 69(3), 807–815.
2008 journal article
A comparison of probabilistic and stochastic formulations in modelling growth uncertainty and variability
Journal of Biological Dynamics, 3(2-3), 130–148.
2008 journal article
A model for HCMV infection in immunosuppressed patients
MATHEMATICAL AND COMPUTER MODELLING, 49(7-8), 1653–1663.
2008 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.
2008 journal article
Analysis of Viscoelastic Wall Properties in Ovine Arteries
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 56(2), 210–219.
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.
2008 journal article
Modeling of viscoelastic shear: A nonlinear stick-slip formulation
Dynamic Systems and Applications, 17(2), 383–405.
2008 journal article
Modelling HIV immune response and validation with clinical data
Journal of Biological Dynamics, 2(4), 357–385.
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.
2008 journal article
QUANTIFYING UNCERTAINTY IN THE ESTIMATION OF PROBABILITY DISTRIBUTIONS
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 5(4), 647–667.
2008 journal article
Sensitivity to noise variance in a social network dynamics model
QUARTERLY OF APPLIED MATHEMATICS, 66(2), 233–247.
2007 journal article
A molecular based model for polymer viscoelasticity: Intra- and inter-molecular variability
APPLIED MATHEMATICAL MODELLING, 32(12), 2753–2767.
2007 journal article
A stick-slip/Rouse hybrid model for viscoelasticity in polymers
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 9(5), 2128–2149.
2007 journal article
Dynamic models for insect mortality due to exposure to insecticides
MATHEMATICAL AND COMPUTER MODELLING, 48(1-2), 316–332.
2007 journal article
Estimation and prediction with HIV-treatment interruption data
BULLETIN OF MATHEMATICAL BIOLOGY, 69(2), 563–584.
2007 journal article
Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides
BULLETIN OF MATHEMATICAL BIOLOGY, 69(7), 2139–2180.
2007 journal article
Multiscale Considerations in Modeling of Nonlinear Elastomers
International Journal for Computational Methods in Engineering Science and Mechanics, 8(2), 53–62.
2007 journal article
Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 37(2), 177–218.
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.
2007 journal article
Stochastic and deterministic models for agricultural production networks
Mathematical Biosciences and Engineering, 4(3), 373–402.
2007 article
Time delay systems with distribution dependent dynamics
ANNUAL REVIEWS IN CONTROL, Vol. 31, pp. 17–26.
2007 journal article
Time-varying vital rates in ecotoxicology: Selective pesticides and aphid population dynamics
ECOLOGICAL MODELLING, 210(1-2), 155–160.
2007 journal article
Using mathematical modeling and control to develop structured treatment interruption strategies for HIV infection
DRUG AND ALCOHOL DEPENDENCE, 88, S41–S51.
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.
2006 article
A comparison of approximation methods for the estimation of probability distributions on parameters
APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 753–777.
2006 journal article
A dynamic model for induced reactivation of latent virus
JOURNAL OF THEORETICAL BIOLOGY, 244(3), 451–462.
2006 journal article
A state-dependent Riccati equation-based estimator approach for HIV feedback control
OPTIMAL CONTROL APPLICATIONS & METHODS, 27(2), 93–121.
2006 journal article
Determination of interrogating frequencies to maximize electromagnetic backscatter from objects with material coatings
Communications in Computational Physics, 1(2), 362–382.
2006 journal article
Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters
QUARTERLY OF APPLIED MATHEMATICS, 64(4), 749–795.
2006 journal article
Homogenization of periodically varying coefficients in electromagnetic materials
JOURNAL OF SCIENTIFIC COMPUTING, 28(2-3), 191–221.
2006 journal article
Material surface design to counter electromagnetic interrogation of targets
SIAM JOURNAL ON APPLIED MATHEMATICS, 66(3), 1027–1049.
2006 journal article
Monotone approximation for a nonlinear size and class age structured epidemic model
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 8(3), 834–852.
2006 journal article
Void detection in foam with knit lines using THz pulse interrogation
MATHEMATICAL AND COMPUTER MODELLING, 44(9-10), 807–815.
2005 journal article
A computational and statistical framework for multidimensional domain acoustooptic material interrogation
QUARTERLY OF APPLIED MATHEMATICS, 63(1), 156–200.
2005 journal article
A hierarchical Bayesian approach for parameter estimation in HIV models
INVERSE PROBLEMS, 21(6), 1803–1822.
2005 article
A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue
MULTISCALE MODELING & SIMULATION, Vol. 3, pp. 395–412.
2005 journal article
HIV dynamics: Modeling, data analysis, and optimal treatment protocols
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 184(1), 10–49.
2005 journal article
Parameter estimation in a coupled system of nonlinear size-structured populations
Mathematical Biosciences and Engineering, 2(2), 289–315.
2005 journal article
Population dynamics models in plant-insect herbivore-pesticide interactions
MATHEMATICAL BIOSCIENCES, 196(1), 39–64.
2005 journal article
Sensitivity of dynamical systems to Banach space parameters
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 323(1), 146–161.
2005 journal article
Well-posedness in Maxwell systems with distributions of polarization relaxation parameters
APPLIED MATHEMATICS LETTERS, 18(4), 423–430.
2005 journal article
Well-posedness results for a class of toxicokinetic models
Dynamic Systems and Applications, 14(2), 297–322.
2004 journal article
A parameter sensitivity methodology in the context of HIV delay equation models
JOURNAL OF MATHEMATICAL BIOLOGY, 50(6), 607–625.
2004 journal article
Dynamic multidrug therapies for HIV: Optimal and STI control approaches
Mathematical Biosciences and Engineering, 1(2), 223–241.
2004 journal article
Gap detection with electromagnetic terahertz signals
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 6(2), 381–416.
2004 journal article
High-frequency pulse propagation in nonlinear dielectric materials
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 5(4), 597–612.
2004 journal article
Modeling and optimal regulation of erythropoiesis subject to benzene intoxication
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 1(1), 15–48.
2004 journal article
Nonlinear reptation in molecular based hysteresis models for polymers
QUARTERLY OF APPLIED MATHEMATICS, 62(4), 767–779.
2004 journal article
Probabilistic methods for addressing uncertainty and variability in biological models: application to a toxicokinetic model
MATHEMATICAL BIOSCIENCES, 192(2), 193–225.
2004 article
Time domain electromagnetic scattering using finite elements and perfectly matched layers
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol. 194, pp. 149–168.
2004 journal article
Well-posedness for a nonsmooth acoustic system
Applied Mathematics Letters, 17(3), 317–322.
2004 journal article
Well-posedness for a nonsmooth acoustic system
Applied Mathematics Letters, 17(3), 317–322.
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
2003 book
Bioterrorism: Mathematical modeling applications in homeland security
Philadelphia, PA: Society for Industrial and Applied Mathematics.
2003 journal article
Incorporation of variability into the modeling of viral delays in HIV infection dynamics
MATHEMATICAL BIOSCIENCES, 183(1), 63–91.
2003 journal article
Maxwell-systems with nonlinear polarization
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 4(3), 483–501.
2002 journal article
A computational model for sound field absorption by acoustic arrays
Journal of Intelligent Material Systems and Structures, 13(4), 231–240.
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.
2002 journal article
A nonlinear beam equation
APPLIED MATHEMATICS LETTERS, 15(3), 381–387.
2002 journal article
Analysis of bonded elastic blocks
MATHEMATICAL AND COMPUTER MODELLING, 36(7-8), 875–888.
2002 journal article
Analysis of thermal conductivity in composite adhesives
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 23(7-8), 705–745.
2002 journal article
Analytical and numerical treatment of a curved active constrained layer structure
Dynamic Systems and Applications, 11(1), 75–87.
2002 review
Compression of bonded rubber blocks
[Review of ]. RUBBER CHEMISTRY AND TECHNOLOGY, 75(3), 549–561.
2002 journal article
Identification of material damage in two-dimensional domains using the SQUID-based nondestructive evaluation system
INVERSE PROBLEMS, 18(6), 1831–1855.
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.
2002 journal article
Nondestructive evaluation of materials using pulsed microwave interrogating signals and acoustic wave induced reflections
INVERSE PROBLEMS, 18(6), 1935–1958.
2002 journal article
Physiologically based pharmacokinetic models for the transport of trichloroethylene in adipose tissue
BULLETIN OF MATHEMATICAL BIOLOGY, 64(1), 97–131.
2002 journal article
Proper orthogonal decomposition-based control of transverse beam vibrations: Experimental implementation
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 10(5), 717–726.
2002 journal article
Real time computational algorithms for eddy-current-based damage detection
INVERSE PROBLEMS, 18(3), 795–823.
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.
2002 journal article
Well-posedness for systems representing electromagnetic/acoustic wavefront interaction
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 8, 105–125.
2002 journal article
Well-posedness results for models of elastomers
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 268(2), 440–456.
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.
2001 article
Convergence of approximations in feedback control of structures
MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 65–78.
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.
2001 journal article
Graduate education in computational science and engineering
SIAM Review, 43(1), 163–177.
2001 journal article
Modelling and estimating uncertainty in parameter estimation
INVERSE PROBLEMS, 17(1), 95–111.
2001 journal article
Nonlinear exothermic contributions to radio-frequency bonding of adhesives
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2(3), 357–386.
2001 journal article
Piecewise linear model for field-responsive fluids
IEEE TRANSACTIONS ON MAGNETICS, 37(1), 558–560.
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.
2001 article
Remarks on uncertainty assessment and management in modeling and computation
MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 39–47.
2001 article
The effective magnetic properties of magnetorheological fluids
MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 273–284.
2000 journal article
Approximation methods for inverse problems governed by nonlinear parabolic systems
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 21(7-8), 791–816.
2000 journal article
Feedback control methodologies for nonlinear systems
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 107(1), 1–33.
2000 journal article
Nondestructive evaluation using a reduced-order computational methodology
INVERSE PROBLEMS, 16(4), 929–945.