H. Banks

Shao, S., Canner, J. E. E., Everett, R. A., Bekele-Maxwell, K., Kuerbis, A., Stephenson, L., … Banks, H. T. (2023). 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). https://doi.org/10.1007/s11538-022-01097-1

Wootton, K. L., Curtsdotter, A., Jonsson, T., Banks, H. T., Bommarco, R., Roslin, T., & Laubmeier, A. N. (2022). Beyond body size-new traits for new heights in trait-based modelling of predator-prey dynamics. PLOS ONE, 17(7). https://doi.org/10.1371/journal.pone.0251896

White, R. D., Yousefian, O., Banks, H. T., Alexanderian, A., & Mueller, M. (2021). Inferring pore radius and density from ultrasonic attenuation using physics-based modeling. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 149(1), 340–347. https://doi.org/10.1121/10.0003213

Banks, H. T., Banks, J. E., Catenacci, J., Joyner, M., & Stark, J. (2020). Correctly modeling plant-insect-herbivore-pesticide interactions as aggregate data. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 17(2), 1743–1756. https://doi.org/10.3934/mbe.2020091

Banks, J. E., Banks, H. T., Myers, N., Laubmeier, A. N., & Bommarco, R. (2020). Lethal and sublethal effects of toxicants on bumble bee populations: a modelling approach. ECOTOXICOLOGY, 29(3), 237–245. https://doi.org/10.1007/s10646-020-02162-y

Banks, J. E., Laubmeier, A. N., & Banks, H. T. (2020). 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. https://doi.org/10.1111/afe.12354

Banks, H. T., & Joyner, M. L. (2019). ADAPTION OF AKAIKE INFORMATION CRITERION UNDER LEAST SQUARES FRAMEWORKS FOR COMPARISON OF STOCHASTIC MODELS. QUARTERLY OF APPLIED MATHEMATICS, 77(4), 831–859. https://doi.org/10.1090/qam/1542

Noorman, M., Allen, R., Musante, C. J., & Banks, H. T. (2019). 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. https://doi.org/10.3934/mbe.2019052

Curtsdotter, A., Banks, H. T., Banks, J. E., Jonsson, M., Jonsson, T., Laubmeier, A. N., … Bommarco, R. (2019). Ecosystem function in predator-prey food webs-confronting dynamic models with empirical data. JOURNAL OF ANIMAL ECOLOGY, 88(2), 196–210. https://doi.org/10.1111/1365-2656.12892

Schacht, C., Meade, A., Banks, H. T., Enderling, H., & Abate-Daga, D. (2019). 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. https://doi.org/10.3934/mbe.2019365

Murad, N., Tran, H. T., Banks, H. T., Everett, R. A., & Rosenberg, E. S. (2019). IMMUNOSUPPRESSANT TREATMENT DYNAMICS IN RENAL TRANSPLANT RECIPIENTS: AN ITERATIVE MODELING APPROACH. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 24(6), 2781–2797. https://doi.org/10.3934/dcdsb.2018274

Banks, H. T., Bekele-Maxwell, K., Bociu, L., Noorman, M., & Guidiboni, G. (2019). 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. https://doi.org/10.3934/mcrf.2019044

Rahman, M., Bekele-Maxwell, K., Cates, L. A. L., Banks, H. T., & Vaidya, N. K. (2019). Modeling Zika Virus Transmission Dynamics: Parameter Estimates, Disease Characteristics, and Prevention. SCIENTIFIC REPORTS, 9. https://doi.org/10.1038/s41598-019-46218-4

Banks, H. T., Banks, J. E., Cody, N. G., Hoddle, M. S., & Meade, A. E. (2019). Population model for the decline of Homalodisca vitripennis (Hemiptera: Cicadellidae) over a ten-year period. JOURNAL OF BIOLOGICAL DYNAMICS, 13(1), 422–446. https://doi.org/10.1080/17513758.2019.1616839

Bokil, V. A., Banks, H. T., Cioranescu, D., & Griso, G. (2018). A MULTISCALE METHOD FOR COMPUTING EFFECTIVE PARAMETERS OF COMPOSITE ELECTROMAGNETIC MATERIALS WITH MEMORY EFFECTS. QUARTERLY OF APPLIED MATHEMATICS, 76(4), 713–738. https://doi.org/10.1090/qam/1503

Banks, H. T., Kabanikhin, S. I., Krivorotko, O. I., & Yermolenko, D. V. (2018). 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. https://doi.org/10.1515/jiip-2018-0019

Rutter, E. M., Banks, H. T., & Flores, K. B. (2018). Estimating intratumoral heterogeneity from spatiotemporal data. JOURNAL OF MATHEMATICAL BIOLOGY, 77(6-7), 1999–2022. https://doi.org/10.1007/s00285-018-1238-6

Laubmeier, A. N., Wootton, K., Banks, J. E., Bommarco, R., Curtsdotter, A., Jonsson, T., … Banks, H. T. (2018). From theory to experimental design-Quantifying a trait-based theory of predator-prey dynamics. PLoS One, 13(4).

Rieger, T. R., Allen, R. J., Bystricky, L., Chen, Y., Colopy, G. W., Cui, Y., … Musante, C. J. (2018). [Review of Improving the generation and selection of virtual populations in quantitative systems pharmacology models]. PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY, 139, 15–22. https://doi.org/10.1016/j.pbiomolbio.2018.06.002

Banks, H. T., & Joyner, M. L. (2018). [Review of Information content in data sets: A review of methods for interrogation and model comparison]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 26(3), 423–452. https://doi.org/10.1515/jiip-2017-0096

Banks, H. T., Everett, R. A., Murad, N., White, R. D., Banks, J. E., Cass, B. N., & Rosenheim, J. A. (2018). OPTIMAL DESIGN FOR DYNAMICAL MODELING OF PEST POPULATIONS. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 15(4), 993–1010. https://doi.org/10.3934/mbe.2018044

Murad, N., Tran, H. T., & Banks, H. T. (2018). Optimal control of immunosuppressants in renal transplant recipients susceptible to BKV infection. Optimal Control Applications and Methods, 40(2), 292–309. https://doi.org/10.1002/oca.2478

Banks, H. T., & Thompson, W. C. (2018). RANDOM DELAY DIFFERENTIAL EQUATIONS AND INVERSE PROBLEMS FOR AGGREGATE DATA PROBLEMS. EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 6(4), 4–16. https://doi.org/10.32523/2306-6172-2018-6-4-4-16

Yousefian, O., White, R. D., Karbalaeisadegh, Y., Banks, H. T., & Muller, M. (2018). 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. https://doi.org/10.1121/1.5049782

Banks, H. T., Hu, S., & Rosenberg, E. (2017). A dynamical modeling approach for analysis of longitudinal clinical trials in the presence of missing endpoints. APPLIED MATHEMATICS LETTERS, 63, 109–117. https://doi.org/10.1016/j.aml.2016.07.002

Banks, H. T., Doumic, M., & Kruse, C. (2017). A numerical scheme for the early steps of nucleation-aggregation models. JOURNAL OF MATHEMATICAL BIOLOGY, 74(1-2), 259–287. https://doi.org/10.1007/s00285-016-1026-0

Banks, H. T., & Joyner, M. L. (2017). AIC under the framework of least squares estimation. APPLIED MATHEMATICS LETTERS, 74, 33–45. https://doi.org/10.1016/j.aml.2017.05.005

Rutter, E. M., Banks, H. T., LeBlanc, G. A., & Flores, K. B. (2017). Continuous Structured Population Models for Daphnia magna. Bulletin of Mathematical Biology, 79(11), 2627–2648. https://doi.org/10.1007/S11538-017-0344-8

Banks, H. T., Bekele-Maxwell, K., Everett, R. A., Stephenson, L., Shao, S., & Morgenstern, J. (2017). Dynamic Modeling of Problem Drinkers Undergoing Behavioral Treatment. BULLETIN OF MATHEMATICAL BIOLOGY, 79(6), 1254–1273. https://doi.org/10.1007/s11538-017-0282-5

Banks, H. T., Flores, K. B., Langlois, C. R., Serio, T. R., & Sindi, S. S. (2017). 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. https://doi.org/10.1080/17415977.2017.1316498

Banks, H. T., & Burns, J. A. (2017). Inverse problems and techniques with applications in the biological sciences. Inverse Problems in Science and Engineering, 26(2), 151–151. https://doi.org/10.1080/17415977.2017.1318490

Banks, H. T., Everett, R. A., Hu, S., Murad, N., & Tran, H. T. (2017). Mathematical and statistical model misspecifications in modelling immune response in renal transplant recipients. Inverse Problems in Science and Engineering, 26(2), 203–222. https://doi.org/10.1080/17415977.2017.1312363

Banks, H. T., Banks, J. E., Bommarco, R., Laubmeier, A. N., Myers, N. J., Rundlof, M., & Tillman, K. (2017). Modeling bumble bee population dynamics with delay differential equations. ECOLOGICAL MODELLING, 351, 14–23. https://doi.org/10.1016/j.ecolmodel.2017.02.011

Banks, H. T., Banks, J. E., Rosenheim, J., & Tillman, K. (2017). 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. https://doi.org/10.1080/17513758.2016.1143533

Banks, H. T., Bekele-Maxwell, K., Bociu, L., Noorman, M., & Guidoboni, G. (2017). SENSITIVITY ANALYSIS IN PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS WITH RESPECT TO BOUNDARY DATA. QUARTERLY OF APPLIED MATHEMATICS, 75(4), 697–735. https://doi.org/10.1090/qam/1475

Banks, H. T., Bekele-Maxwell, K., Bociu, L., & Wang, C. (2017). SENSITIVITY VIA THE COMPLEX-STEP METHOD FOR DELAY DIFFERENTIAL EQUATIONS WITH NON-SMOOTH INITIAL DATA. QUARTERLY OF APPLIED MATHEMATICS, 75(2), 231–248. https://doi.org/10.1090/qam/1458

Banks, H. T., Collins, E., Flores, K., Pershad, P., Stemkovski, M., & Stephenson, L. (2017). Statistical error model comparison for logistic growth of green algae (Raphidocelis subcapitata). Applied Mathematics Letters, 64, 213–222. https://doi.org/10.1016/j.aml.2016.09.006

Banks, H. T., Banks, J. E., Everett, R. A., & Stark, J. D. (2016). AN ADAPTIVE FEEDBACK METHODOLOGY FOR DETERMINING INFORMATION CONTENT IN STABLE POPULATION STUDIES. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 13(4), 653–671. https://doi.org/10.3934/mbe.2016013

Banks, H. T., & Catenacci, J. (2016). Aggregate data and the Prohorov Metric Framework: Efficient gradient computation. APPLIED MATHEMATICS LETTERS, 56, 1–9. https://doi.org/10.1016/j.aml.2015.12.004

Andreev, V. B., Banks, H. T., Dulikravich, G. S., Hofmann, B., Kabanikhin, S. I., Kuchuk, F. J., … Zirilli, F. (2016). In celebration of the 60th birthday of Professor Alemdar Hasanoglu (Hasanov). Journal of Inverse and Ill-Posed Problems, 24(2), 109–110.

Banks, H. T., Banks, J. E., Murad, N., Rosenheim, J. A., & Tillman, K. (2016). Modelling Pesticide Treatment Effects on Lygus hesperus in Cotton Fields. In IFIP Advances in Information and Communication Technology (pp. 95–106). https://doi.org/10.1007/978-3-319-55795-3_8

Banks, H. T., Hu, S., Link, K., Rosenberg, E. S., Mitsuma, S., & Rosario, L. (2016). Modelling immune response to BK virus infection and donor kidney in renal transplant recipients. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 24(1), 127–152. https://doi.org/10.1080/17415977.2015.1017484

Banks, H. T., Flores, K. B., & Sindi, S. S. (2016). On analytical and numerical approaches to division and label structured population models. APPLIED MATHEMATICS LETTERS, 60, 81–88. https://doi.org/10.1016/j.aml.2016.04.009

Banks, H. T., Baraldi, R., Catenacci, J., & Myers, N. (2016). Parameter Estimation Using Unidentified Individual Data in Individual Based Models. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 11(6), 9–27. https://doi.org/10.1051/mmnp/201611602

Wentworth, M. T., Smith, R. C., & Banks, H. T. (2016). 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. https://doi.org/10.1137/15m1008245

Banks, H. T., Catenacci, J., & Criner, A. (2016). Quantifying the degradation in thermally treated ceramic matrix composites. INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, Vol. 52, pp. 3–24. https://doi.org/10.3233/jae-162168

Kojima, F., & Banks, H. T. (2016). Statistical parameter estimation of dielectric materials using MCMC for nonlinear hierarchical models. INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, Vol. 52, pp. 49–54. https://doi.org/10.3233/jae-162207

Banks, H. T., Catenacci, J., & Hu, S. H. (2016). 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.

Stemkovski, M., Baraldi, R., Flores, K. B., & Banks, H. T. (2016). 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).

Brewin, M. P., Birch, M. J., Mehta, D. J., Reeves, J. W., Shaw, S., Kruse, C., … Greenwald, S. E. (2015). Characterisation of Elastic and Acoustic Properties of an Agar-Based Tissue Mimicking Material. ANNALS OF BIOMEDICAL ENGINEERING, 43(10), 2587–2596. https://doi.org/10.1007/s10439-015-1294-7

Banks, H. T., Catenacci, J., & Hu, S. H. (2015). Estimation of distributed parameters in permittivity models of composite dielectric materials using reflectance. Journal of Inverse and Ill-Posed Problems, 23(5), 491–509.

Adoteye, K., Banks, H. T., Flores, K. B., & LeBlanc, G. A. (2015). Estimation of time-varying mortality rates using continuous models for Daphnia magna. APPLIED MATHEMATICS LETTERS, 44, 12–16. https://doi.org/10.1016/j.aml.2014.12.014

Criner, A. K., Cherry, A. J., Cooney, A. T., Katter, T. D., Banks, H. T., Hu, S., & Catenacci, J. (2015). Identification of thermal degradation using probabilistic models in reflectance spectroscopy. 1650, 1898–1906. https://doi.org/10.1063/1.4914816

Banks, H. T., Flores, K. B., Hu, S., Rosenberg, E., Buzon, M., Yu, X., & Lichterfeld, M. (2015). Immuno-modulatory strategies for reduction of HIV reservoir cells. JOURNAL OF THEORETICAL BIOLOGY, 372, 146–158. https://doi.org/10.1016/j.jtbi.2015.02.006

Banks, H. T., Doumic, M., Kruse, C., Prigent, S., & Rezaei, H. (2015). Information content in data sets for a nucleated-polymerization model. JOURNAL OF BIOLOGICAL DYNAMICS, 9(1), 172–197. https://doi.org/10.1080/17513758.2015.1050465

Banks, H. T., Banks, J. E., Link, K., Rosenheim, J. A., Ross, C., & Tillman, K. A. (2015). Model comparison tests to determine data information content. APPLIED MATHEMATICS LETTERS, 43, 10–18. https://doi.org/10.1016/j.aml.2014.11.002

Banks, H. T., Rubio, D., Saintier, N., & Troparevsky, M. I. (2015). OPTIMAL DESIGN FOR PARAMETER ESTIMATION IN EEG PROBLEMS IN A 3D MULTILAYERED DOMAIN. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(4), 739–760. https://doi.org/10.3934/mbe.2015.12.739

Adoteye, K., Banks, H. T., & Flores, K. B. (2015). Optimal design of non-equilibrium experiments for genetic network interrogation. APPLIED MATHEMATICS LETTERS, 40, 84–89. https://doi.org/10.1016/j.aml.2014.09.013

Banks, J. E., Banks, H. T., Rinnovatore, K., & Jackson, C. M. (2015). Optimal sampling frequency and timing of threatened tropical bird populations: A modeling approach. ECOLOGICAL MODELLING, 303, 70–77. https://doi.org/10.1016/j.ecolmodel.2015.02.005

Adoteye, K., Banks, H. T., Cross, K., Eytcheson, S., Flores, K. B., LeBlanc, G. A., … Stokely, S. (2015). Statistical validation of structured population models for Daphnia magna. Mathematical Biosciences, 266, 73–84. https://doi.org/10.1016/j.mbs.2015.06.003

Banks, H. T., Baraldi, R., Cross, K., Flores, K., Mcchesney, C., Poag, L., & Thorpe, E. (2015). UNCERTAINTY QUANTIFICATION IN MODELING HIV VIRAL MECHANICS. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(5), 937–964. https://doi.org/10.3934/mbe.2015.12.937

Banks, H. T., Rehm, K. L., Sutton, K. L., Davis, C., Hail, L., Kuerbis, A., & Morgenstern, J. (2014). DYNAMIC MODELING OF BEHAVIOR CHANGE. QUARTERLY OF APPLIED MATHEMATICS, 72(2), 209–251. https://doi.org/10.1090/s0033-569x-2014-01296-3

Banks, H. T., Catenacci, J., Hu, S. H., & Kenz, Z. R. (2014). Decomposition of permittivity contributions from reflectance using mechanism models. 2014 american control conference (acc), 367–372.

Banks, H. T., Birch, M. J., Brewin, M. P., Greenwald, S. E., Hu, S., Kenz, Z. R., … Whiteman, J. R. (2014). 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. https://doi.org/10.1002/nme.4631

Banks, H. T., Hu, S., Kenz, Z. R., Kruse, C., Shaw, S., Whiteman, J., … Birch, M. J. (2014). MODEL VALIDATION FOR A NONINVASIVE ARTERIAL STENOSIS DETECTION PROBLEM. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 11(3), 427–448. https://doi.org/10.3934/mbe.2014.11.427

Baraldi, R., Cross, K., McChesney, C., Poag, L., Thorpe, E., Flores, K. B., & Banks, H. T. (2014). Uncertainty quantification for a model of HIV-1 patient response to antiretroviral therapy interruptions. 2014 american control conference (acc), 2753–2758.

Banks, H. T., Catenacci, J., & Hu, S. (2013). A Comparison of Stochastic Systems with Different Types of Delays. STOCHASTIC ANALYSIS AND APPLICATIONS, 31(6), 913–955. https://doi.org/10.1080/07362994.2013.806217

Banks, H. T., Kapraun, D. F., Thompson, W. C., Peligero, C., Argilaguet, J., & Meyerhans, A. (2013). A novel statistical analysis and interpretation of flow cytometry data. JOURNAL OF BIOLOGICAL DYNAMICS, 7(1), 96–132. https://doi.org/10.1080/17513758.2013.812753

Greenwald, S. E., Banks, H. T., Birch, M. J., Brewin, M. P., Hu, S., Kenz, Z. R., … Whiteman, J. R. (2013). Acoustic localisation of coronary artery stenosis: Wave propagation in soft tissue mimicking gels. Artery Research, 7(3-4), 124. https://doi.org/10.1016/J.ARTRES.2013.10.081

Banks, H. T., & Rehm, K. L. (2013). Experimental design for distributed parameter vector systems. Applied Mathematics Letters, 26(1), 10–14. https://doi.org/10.1016/j.aml.2012.08.003

Banks, H. T., & Rehm, K. L. (2013). Experimental design for vector output systems. Inverse Problems in Science and Engineering, 22(4), 557–590. https://doi.org/10.1080/17415977.2013.797973

Banks, H. T., Hu, S. H., Kenz, Z. R., Kruse, C., Shaw, S., Whiteman, J. R., … Birch, M. J. (2013). Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology. Journal of Inverse and Ill-Posed Problems, 21(1), 25–57.

Banks, H. T., Cintron-Arias, A., & Kappel, F. (2013). Parameter selection methods in inverse problem formulation. Mathematical Modeling and Validation in Physiology: Applications to the Cardiovascular and Respiratory Systems, 2064, 43–73.

Banks, H. T., Choi, A., Huffman, T., Nardini, J., Poag, L., & Thompson, W. C. (2013). Quantifying CFSE label decay in flow cytometry data. APPLIED MATHEMATICS LETTERS, 26(5), 571–577. https://doi.org/10.1016/j.aml.2012.12.010

Shaw, S., Whiteman, J. R., Greenwald, S. E., Kruse, C., Banks, H. T., Birch, M. J., … Brewin, M. P. (2013). Towards computational diagnosis of coronary artery disease. Artery Research, 7(3-4), 123–124. https://doi.org/10.1016/J.ARTRES.2013.10.079

Banks, H. T., Hu, S., Joyner, M., Broido, A., Canter, B., Gayvert, K., & Link, K. (2012). A COMPARISON OF COMPUTATIONAL EFFICIENCIES OF STOCHASTIC ALGORITHMS IN TERMS OF TWO INFECTION MODELS. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 9(3), 487–526. https://doi.org/10.3934/mbe.2012.9.487

Banks, H. T., Tompson, W. C., Peligero, C., Giest, S., Argilaguet, J., & Meyerhans, A. (2012). A DIVISION-DEPENDENT COMPARTMENTAL MODEL FOR COMPUTING CELL NUMBERS IN CFSE-BASED LYMPHOCYTE PROLIFERATION ASSAYS. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 9(4), 699–736. https://doi.org/10.3934/mbe.2012.9.699

Banks, H. T., Holm, K. J., & Kappel, F. (2012). A Monte Carlo based analysis of optimal design criteria. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 20(1), 1–37. https://doi.org/10.1515/jip-2012-0201

Banks, H. T. (2012). A functional analysis framework for modeling, estimation, and control in science and engineering. https://doi.org/10.1201/b12209

Banks, H. T., Kenz, Z. R., & Thompson, W. C. (2012). A review of selected techniques in inverse problem nonparametric probability distribution estimation. Journal of Inverse and Ill-Posed Problems, 20(4), 429–460.

Banks, H. T., & Hu, S. (2012). A zero-sum electromagnetic evader-interrogator differential game with uncertainty. APPLICABLE ANALYSIS, 91(4), 645–674. https://doi.org/10.1080/00036811.2012.667081

Avery, M., Banks, H. T., Basu, K., Cheng, Y. S., Eager, E., Khasawinah, S., … Rehm, K. L. (2012). Experimental design and inverse problems in plant biological modeling. Journal of Inverse and Ill-Posed Problems, 20(2), 169–191.

Banks, H. T., & Clayton Thompson, W. (2012). Mathematical Models of Dividing Cell Populations: Application to CFSE Data. Mathematical Modelling of Natural Phenomena, 7(5), 24–52. https://doi.org/10.1051/mmnp/20127504

Banks, H. T., Hu, S., Jang, T., & Kwon, H.-D. (2012). Modelling and optimal control of immune response of renal transplant recipients. JOURNAL OF BIOLOGICAL DYNAMICS, 6(2), 539–567. https://doi.org/10.1080/17513758.2012.655328

Banks, H. T., Bocharov, G., Grossman, Z., & Meyerhans, A. (2012). Preface. Distributed Parameter Systems in Immunology. Mathematical Modelling of Natural Phenomena, 7(5), 1–3. https://doi.org/10.1051/mmnp/20127501

Banks, H. T., & Hu, S. (2012). Propagation of Growth Uncertainty in a Physiologically Structured Population. Mathematical Modelling of Natural Phenomena, 7(5), 7–23. https://doi.org/10.1051/mmnp/20127503

Banks, H. T., & Criner, A. K. (2012). Thermal based methods for damage detection and characterization in porous materials. Inverse Problems, 28(6), 065021. https://doi.org/10.1088/0266-5611/28/6/065021

Banks, H. T., Hu, S., & Kenz, Z. R. (2011). [Review of A Brief Review of Elasticity and Viscoelasticity for Solids]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 3(1), 1–51. https://doi.org/10.4208/aamm.10-m1030

Ortiz, A. R., Banks, H. T., Castillo-Chavez, C., Chowell, G., & Wang, X. (2011). A DETERMINISTIC METHODOLOGY FOR ESTIMATION OF PARAMETERS IN DYNAMIC MARKOV CHAIN MODELS. JOURNAL OF BIOLOGICAL SYSTEMS, 19(1), 71–100. https://doi.org/10.1142/s0218339011003798

Banks, H. T., Sutton, K. L., Thompson, W. C., Bocharov, G., Doumic, M., Schenkel, T., … Meyerhans, A. (2011). A new model for the estimation of cell proliferation dynamics using CFSE data. JOURNAL OF IMMUNOLOGICAL METHODS, 373(1-2), 143–160. https://doi.org/10.1016/j.jim.2011.08.014

Banks, H. T., Holm, K., & Kappel, F. (2011). Comparison of optimal design methods in inverse problems. Inverse Problems, 27(7), 075002. https://doi.org/10.1088/0266-5611/27/7/075002

Banks, H. T., Hu, S. H., Ito, K., & Muccio, S. G. (2011). Dynamic evasion-interrogation games with uncertainty in the context of electromagetics. Numerical Mathematics: Theory, Methods and Applications, 4(3), 359–378.

Banks, H. T., Sutton, K. L., Thompson, W. C., Bocharov, G., Roose, D., Schenkel, T., & Meyerhans, A. (2011). Estimation of Cell Proliferation Dynamics Using CFSE Data. BULLETIN OF MATHEMATICAL BIOLOGY, 73(1), 116–150. https://doi.org/10.1007/s11538-010-9524-5

Wendelsdorf, K., Dean, G., Hu, S., Nordone, S., & Banks, H. T. (2011). Host immune responses that promote initial HIV spread. JOURNAL OF THEORETICAL BIOLOGY, 289, 17–35. https://doi.org/10.1016/j.jtbi.2011.08.012

Banks, H. T., Cioranescu, D., Criner, A. K., & Winfree, W. P. (2011). Parameter estimation for the heat equation on perforated domains. Journal of Inverse and Ill-Posed Problems, 19(6), 825–857.

David, J., Tran, H., & Banks, H. T. (2011). Receding Horizon Control of HIV. OPTIMAL CONTROL APPLICATIONS & METHODS, 32(6), 681–699. https://doi.org/10.1002/oca.969

Ortiz, A., Banks, H. T., Castillo-Chavez, C., Chowell, G., & Wang, X. H. (2010). 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.

Banks, H. T., Rehm, K., & Sutton, K. L. (2010). DYNAMIC SOCIAL NETWORK MODELS INCORPORATING STOCHASTICITY AND DELAYS. QUARTERLY OF APPLIED MATHEMATICS, 68(4), 783–802. https://doi.org/10.1090/s0033-569x-2010-01201-x

Banks, H. T., Hu, S., & Thompson, W. C. (2010). Electromagnetic interrogation and the Doppler shift using the method of mappings. MATHEMATICAL AND COMPUTER MODELLING, 51(5-6), 389–399. https://doi.org/10.1016/j.mcm.2009.12.013

Banks, H. T., Dediu, S., Ernstberger, S. L., & Kappel, F. (2010). Generalized sensitivities and optimal experimental design. Journal of Inverse and Ill-Posed Problems, 18(1), 25–83.

Banks, H. T., Charles, F., Jauffret, M. D., Sutton, K. L., & Thompson, W. C. (2010). Label structured cell proliferation models. APPLIED MATHEMATICS LETTERS, 23(12), 1412–1415. https://doi.org/10.1016/j.aml.2010.07.009

Banks, H. T., Holm, K., & Robbins, D. (2010). Standard error computations for uncertainty quantification in inverse problems: Asymptotic theory vs. bootstrapping. MATHEMATICAL AND COMPUTER MODELLING, 52(9-10), 1610–1625. https://doi.org/10.1016/j.mcm.2010.06.026

Banks, H. T., Boudreaux, B., Criner, A. K., Foster, K., Uttal, C., Vogel, T., & Winfree, W. P. (2010). Thermal-based damage detection in porous materials. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 18(6), 835–851. https://doi.org/10.1080/17415977.2010.498912

Sutton, K. L., Banks, H. T., & Castillo-Chavez, C. (2010). Using inverse problem methods with surveillance data in pneumococcal vaccination. MATHEMATICAL AND COMPUTER MODELLING, 51(5-6), 369–388. https://doi.org/10.1016/j.mcm.2009.12.014

Banks, H. T., Davis, J. L., Ernstberger, S. L., Hu, S., Artimovich, E., Dhar, A. K., & Browdy, C. L. (2009). A comparison of probabilistic and stochastic formulations in modelling growth uncertainty and variability. Journal of Biological Dynamics, 3(2-3), 130–148. https://doi.org/10.1080/17513750802304877

Banks, H. T., Holm, K., Wanner, N. C., Cintron-Arias, A., Kepler, G. M., & Wetherington, J. D. (2009). A mathematical model for the first-pass dynamics of antibiotics acting on the cardiovascular system. MATHEMATICAL AND COMPUTER MODELLING, 50(7-8), 959–974. https://doi.org/10.1016/j.mcm.2009.02.007

Kepler, G. M., Banksa, H. T., Davidian, M., & Rosenberg, E. S. (2009). A model for HCMV infection in immunosuppressed patients. MATHEMATICAL AND COMPUTER MODELLING, 49(7-8), 1653–1663. https://doi.org/10.1016/j.mcm.2008.06.003

Cintron-Arias, A., Banks, H. T., Capaldi, A., & Lloyd, A. L. (2009). A sensitivity matrix based methodology for inverse problem formulation. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(6), 545–564. https://doi.org/10.1515/JIIP.2009.034

Banks, H. T., Bokil, V. A., & Gibson, N. L. (2009). 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. https://doi.org/10.1002/num.20379

Valdez-Jasso, D., Haider, M. A., Banks, H. T., Santana, D. B., German, Y. Z., Armentano, R. L., & Olufsen, M. S. (2009). Analysis of Viscoelastic Wall Properties in Ovine Arteries. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 56(2), 210–219. https://doi.org/10.1109/TBME.2008.2003093

Banks, H. T., & Samuels, J. R. (2009). Detection of arterial occlusions using viscoelastic wave propagation. Advances in Applied Mathematics & Mechanics, 1(1), 1–28.

Banks, H. T., Banks, J. E., & Joyner, S. L. (2009). Estimation in time-delay modeling of insecticide-induced mortality. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(2), 101–125. https://doi.org/10.1515/JIIP.2009.012

Banks, H. T., Davis, J. L., Ernstberger, S. L., Hu, S., Artimovich, E., & Dhar, A. K. (2009). Experimental design and estimation of growth rate distributions in size-structured shrimp populations. Inverse Problems, 25(9), 095003. https://doi.org/10.1088/0266-5611/25/9/095003

Banks, H. T., & Tran, H. T. (2009). Mathematical and experimental modeling of physical and biological processes. Boca Raton : CRC Press.

Sutton, K. L., Banks, H. T., & Castillo-Chavez, C. (2009). Public vaccination policy using an age-structured model of pneumococcal infection dynamics. Journal of Biological Dynamics, 4(2), 176–195. https://doi.org/10.1080/17513750903023715

Cintron-Arias, A., Castillo-Chavez, C., Bettencourt, L. M. A., Lloyd, A. L., & Banks, H. T. (2009). THE ESTIMATION OF THE EFFECTIVE REPRODUCTIVE NUMBER FROM DISEASE OUTBREAK DATA. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(2), 261–282. https://doi.org/10.3934/mbe.2009.6.261

Valdez-Jasso, D., Banks, H. T., Haider, M. A., Bia, D., Zocalo, Y., Armentano, R. L., & Olufsen, M. S. (2009). Viscoelastic models for passive arterial wall dynamics. Advances in Applied Mathematics & Mechanics, 1(2), 151–165.

Banks, H. T., & Pedersen, M. (2009). Well-posedness of inverse problems for systems with time dependent parameters. Arabian Journal for Science and Engineering, 34(1D), 39–58.

Banks, H. T. (2008). [Review of A brief review of some approaches to hysteresis in viscoelastic polymers]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 69(3), 807–815. https://doi.org/10.1016/j.na.2008.02.103

Banks, H. T., Hood, J. B., & Medhin, N. G. (2008). A molecular based model for polymer viscoelasticity: Intra- and inter-molecular variability. APPLIED MATHEMATICAL MODELLING, 32(12), 2753–2767. https://doi.org/10.1016/j.apm.2007.09.018

Banks, H. T., Hood, J. B., Medhin, N. G., & Samuels, J. S., Jr. (2008). A stick-slip/Rouse hybrid model for viscoelasticity in polymers. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 9(5), 2128–2149. https://doi.org/10.1016/j.nonrwa.2007.06.015

Banks, H. T., Banks, J. E., Joyner, S. L., & Stark, J. D. (2008). Dynamic models for insect mortality due to exposure to insecticides. MATHEMATICAL AND COMPUTER MODELLING, 48(1-2), 316–332. https://doi.org/10.1016/j.mcm.2007.10.005

Sutton, K. L., Banks, H. T., & Castillo-Chavez, C. (2008). Estimation of invasive pneumococcal disease dynamics parameters and the impact of conjugate vaccination in Australia. Mathematical Biosciences and Engineering, 5(1), 175–204. https://doi.org/10.3934/mbe.2008.5.175

Banks, H. T., Medhin, N. G., & Pinter, G. A. (2008). Modeling of viscoelastic shear: A nonlinear stick-slip formulation. Dynamic Systems and Applications, 17(2), 383–405.

Banks, H. T., Davidian, M., Hu, S., Kepler, G. M., & Rosenberg, E. S. (2008). Modelling HIV immune response and validation with clinical data. Journal of Biological Dynamics, 2(4), 357–385. https://doi.org/10.1080/17513750701813184

Banks, H. T., & Luke, N. S. (2008). Modelling of propagating shear waves in biotissue employing an internal variable approach to dissipation. Communications in Computational Physics, 3(3), 603–640.

Banks, H. T., & Davis, J. L. (2008). QUANTIFYING UNCERTAINTY IN THE ESTIMATION OF PROBABILITY DISTRIBUTIONS. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 5(4), 647–667. https://doi.org/10.3934/mbe.2008.5.647

Banks, H. T., Karr, A. F., Nguyen, H. K., & Samuels, J. R., Jr. (2008). Sensitivity to noise variance in a social network dynamics model. QUARTERLY OF APPLIED MATHEMATICS, 66(2), 233–247. https://doi.org/10.1090/S0033-569X-08-01124-0

Banks, J. E., Dick, L. K., Banks, H. T., & Stark, J. D. (2008). Time-varying vital rates in ecotoxicology: Selective pesticides and aphid population dynamics. ECOLOGICAL MODELLING, 210(1-2), 155–160. https://doi.org/10.1016/j.ecolmodel.2007.07.022

Banks, H. T., & Davis, J. L. (2007). A comparison of approximation methods for the estimation of probability distributions on parameters. APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 753–777. https://doi.org/10.1016/j.apnum.2006.07.016

Kepler, G. M., Nguyen, H. K., Webster-Cyriaque, J., & Banks, H. T. (2007). A dynamic model for induced reactivation of latent virus. JOURNAL OF THEORETICAL BIOLOGY, 244(3), 451–462. https://doi.org/10.1016/j.jtbi.2006.08.020

Adams, B. M., Banks, H. T., Davidian, M., & Rosenberg, E. S. (2007). Estimation and prediction with HIV-treatment interruption data. BULLETIN OF MATHEMATICAL BIOLOGY, 69(2), 563–584. https://doi.org/10.1007/s11538-006-9140-6

Banks, H. T., Banks, J. E., Dick, L. K., & Stark, J. D. (2007). Estimation of dynamic rate parameters in insect populations undergoing sublethal exposure to pesticides. BULLETIN OF MATHEMATICAL BIOLOGY, 69(7), 2139–2180. https://doi.org/10.1007/s11538-007-9207-z

Banks, H. T., Bokil, V. A., & Hu, S. (2007). Monotone approximation for a nonlinear size and class age structured epidemic model. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 8(3), 834–852. https://doi.org/10.1016/j.nonrwa.2006.03.008

Banks, H. T., Medhin, N. G., & Pinter, G. A. (2007). Multiscale Considerations in Modeling of Nonlinear Elastomers. International Journal for Computational Methods in Engineering Science and Mechanics, 8(2), 53–62. https://doi.org/10.1080/15502280601149346

Banks, H. T., Lewis, B. M., & Tran, H. T. (2007). Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 37(2), 177–218. https://doi.org/10.1007/s10589-007-9015-2

Banks, H. T., Dediu, S., & Nguyen, H. K. (2007). Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space. Mathematical Biosciences and Engineering, 4(3), 403–430. https://doi.org/10.3934/mbe.2007.4.403

Bai, P., Banks, H. T., Dediu, S., Govan, A. Y., Last, M., Lloyd, A., … Slenning, B. D. (2007). Stochastic and deterministic models for agricultural production networks. Mathematical Biosciences and Engineering, 4(3), 373–402. https://doi.org/10.3934/mbe.2007.4.373

Banks, H. T., Dediu, S., & Nguyen, H. K. (2007). Time delay systems with distribution dependent dynamics. ANNUAL REVIEWS IN CONTROL, Vol. 31, pp. 17–26. https://doi.org/10.1016/j.arcontrol.2007.02.002

Rosenberg, E. S., Davidian, M., & Banks, H. T. (2007). Using mathematical modeling and control to develop structured treatment interruption strategies for HIV infection. DRUG AND ALCOHOL DEPENDENCE, 88, S41–S51. https://doi.org/10.1016/j.drugalcdep.2006.12.024

Banks, H. T., Luke, N. S., & Samuels, J. R., Jr. (2007, July). Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Vol. 23, pp. 817–831. https://doi.org/10.1002/num.20250

Banks, H. T., Kwon, H. D., Toivanen, J. A., & Tran, H. T. (2006). A state-dependent Riccati equation-based estimator approach for HIV feedback control. OPTIMAL CONTROL APPLICATIONS & METHODS, 27(2), 93–121. https://doi.org/10.1002/oca.773

Banks, H. T., Ito, K., & Toivanen, J. (2006). Determination of interrogating frequencies to maximize electromagnetic backscatter from objects with material coatings. Communications in Computational Physics, 1(2), 362–382.

Banks, H. T., & Gibson, N. L. (2006). Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters. QUARTERLY OF APPLIED MATHEMATICS, 64(4), 749–795. https://doi.org/10.1090/S0033-569X-06-01036-X

Banks, H. T., Bokil, V. A., Cioranescu, D., Gibson, N. L., Griso, G., & Miara, B. (2006). Homogenization of periodically varying coefficients in electromagnetic materials. JOURNAL OF SCIENTIFIC COMPUTING, 28(2-3), 191–221. https://doi.org/10.1007/s10915-006-9091-y

Banks, H. T., Ito, K., Kepler, G. M., & Toivanen, J. A. (2006). Material surface design to counter electromagnetic interrogation of targets. SIAM JOURNAL ON APPLIED MATHEMATICS, 66(3), 1027–1049. https://doi.org/10.1137/040621430

Banks, H. T., & Nguyen, H. K. (2006). Sensitivity of dynamical systems to Banach space parameters. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 323(1), 146–161. https://doi.org/10.1016/j.jmaa.2005.09.084

Banks, H. T., & Gibson, N. L. (2006). Void detection in foam with knit lines using THz pulse interrogation. MATHEMATICAL AND COMPUTER MODELLING, 44(9-10), 807–815. https://doi.org/10.1016/j.mcm.2006.02.014

Banks, H. T., & Bokil, V. A. (2005). A computational and statistical framework for multidimensional domain acoustooptic material interrogation. QUARTERLY OF APPLIED MATHEMATICS, 63(1), 156–200. https://doi.org/10.1090/S0033-569X-05-00949-0

Banks, H. T., Grove, S., Hu, S., & Ma, Y. Y. (2005). A hierarchical Bayesian approach for parameter estimation in HIV models. INVERSE PROBLEMS, 21(6), 1803–1822. https://doi.org/10.1088/0266-5611/21/6/001

Banks, H. T., & Bortz, D. M. (2005). A parameter sensitivity methodology in the context of HIV delay equation models. JOURNAL OF MATHEMATICAL BIOLOGY, 50(6), 607–625. https://doi.org/10.1007/s00285-004-0299-x

Banks, H. T., & Pinter, G. A. (2005). A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue. MULTISCALE MODELING & SIMULATION, Vol. 3, pp. 395–412. https://doi.org/10.1137/040603693

Banks, H. T., Gibson, N. L., & Winfree, W. P. (2005). Gap detection with electromagnetic terahertz signals. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 6(2), 381–416. https://doi.org/10.1016/j.nonrwa.2004.09.004

Adams, B. M., Banks, H. T., Davidian, M., Kwon, H. D., Tran, H. T., Wynne, S. N., & Rosenberg, E. S. (2005). HIV dynamics: Modeling, data analysis, and optimal treatment protocols. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 184(1), 10–49. https://doi.org/10.1016/j.cam.2005.02.004

Ackleh, A. S., Banks, H. T., Deng, K., & Hu, S. H. (2005). Parameter estimation in a coupled system of nonlinear size-structured populations. Mathematical Biosciences and Engineering, 2(2), 289–315. https://doi.org/10.3934/mbe.2005.2.289

Adams, B. M., Banks, H. T., Banks, J. E., & Stark, J. D. (2005). Population dynamics models in plant-insect herbivore-pesticide interactions. MATHEMATICAL BIOSCIENCES, 196(1), 39–64. https://doi.org/10.1016/j.mbs.2004.09.001

Banks, H. T., & Browning, B. L. (2005). Time domain electromagnetic scattering using finite elements and perfectly matched layers. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol. 194, pp. 149–168. https://doi.org/10.1016/j.cma.2004.06.013

Banks, H. T., & Gibson, N. L. (2005). Well-posedness in Maxwell systems with distributions of polarization relaxation parameters. APPLIED MATHEMATICS LETTERS, 18(4), 423–430. https://doi.org/10.1016/j.aml.2004.02.008

Banks, H. T., & Potter, L. K. (2005). Well-posedness results for a class of toxicokinetic models. Dynamic Systems and Applications, 14(2), 297–322.

Adams, B. M., Banks, H. T., Kwon, H. D., & Tran, H. (2004). Dynamic multidrug therapies for HIV: Optimal and STI control approaches. Mathematical Biosciences and Engineering, 1(2), 223–241. https://doi.org/10.3934/mbe.2004.1.223

Banks, H. T., & Pinter, G. A. (2004). High-frequency pulse propagation in nonlinear dielectric materials. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 5(4), 597–612. https://doi.org/10.1016/j.nonrwa.2003.10.002

Banks, H. T., Cole, C. E., Schlosser, P. M., & Tran, H. T. (2004). Modeling and optimal regulation of erythropoiesis subject to benzene intoxication. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 1(1), 15–48. https://doi.org/10.3934/mbe.2004.1.15

Banks, H. T., Medhin, N. G., & Pinter, G. A. (2004). Nonlinear reptation in molecular based hysteresis models for polymers. QUARTERLY OF APPLIED MATHEMATICS, 62(4), 767–779. https://doi.org/10.1090/qam/2104273

Banks, H. T., & Potter, L. K. (2004). Probabilistic methods for addressing uncertainty and variability in biological models: application to a toxicokinetic model. MATHEMATICAL BIOSCIENCES, 192(2), 193–225. https://doi.org/10.1016/j.mbs.2004.11.008

Banks, H. T., & Raye, J. K. (2004). Well-posedness for a nonsmooth acoustic system. Applied Mathematics Letters, 17(3), 317–322. https://doi.org/10.1016/S0893-9659(04)00013-8

Banks, H. T., & Raye, J. K. (2004). Well-posedness for a nonsmooth acoustic system. Applied Mathematics Letters, 17(3), 317–322. https://doi.org/10.1016/S0893-9659(04)90069-9

Banks, H. T., Furati, K. M., Ito, K., Luke, N. S., & Smith, C. J. (2003). Acoustic attenuation employing variable wall admittance. Directions in Mathematical Systems Theory and Optimization  (Lecture Notes in Control and Information Sciences; 286), (2003), 15–26.

Banks, H. T., & Castillo-Chavez, C. (2003). Bioterrorism: Mathematical modeling applications in homeland security. Philadelphia, PA: Society for Industrial and Applied Mathematics.

Banks, H. T., Bortz, D. M., & Holte, S. E. (2003). Incorporation of variability into the modeling of viral delays in HIV infection dynamics. MATHEMATICAL BIOSCIENCES, 183(1), 63–91. https://doi.org/10.1016/S0025-5564(02)00218-3

Banks, H. T., & Pinter, G. A. (2003). Maxwell-systems with nonlinear polarization. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 4(3), 483–501. https://doi.org/10.1016/S1468-1218(02)00074-3

Banks, H. T., Cole, D. G., Furati, K. M., Ito, K., & Pinter, G. A. (2002). A computational model for sound field absorption by acoustic arrays. Journal of Intelligent Material Systems and Structures, 13(4), 231–240. https://doi.org/10.1106/104538902028631

Ackleh, A. S., Banks, H. T., & Deng, K. (2002). A finite difference approximation for a coupled system of nonlinear size-structured populations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 50(6), 727–748. https://doi.org/10.1016/S0362-546X(01)00780-5

Ackleh, A. S., Banks, H. T., & Pinter, G. A. (2002). A nonlinear beam equation. APPLIED MATHEMATICS LETTERS, 15(3), 381–387. https://doi.org/10.1016/S0893-9659(01)00147-1

Banks, H. T., Pinter, G. A., & Yeoh, O. H. (2002). Analysis of bonded elastic blocks. MATHEMATICAL AND COMPUTER MODELLING, 36(7-8), 875–888. https://doi.org/10.1016/S0895-7177(02)00234-0

Banks, H. T., & Bihari, K. L. (2002). Analysis of thermal conductivity in composite adhesives. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 23(7-8), 705–745. https://doi.org/10.1081/NFA-120016266

Banks, H. T., Begashaw, N., & Medhin, N. G. (2002). Analytical and numerical treatment of a curved active constrained layer structure. Dynamic Systems and Applications, 11(1), 75–87.

Yeoh, O. H., Pinter, G. A., & Banks, H. T. (2002). [Review of Compression of bonded rubber blocks]. RUBBER CHEMISTRY AND TECHNOLOGY, 75(3), 549–561. https://doi.org/10.5254/1.3547682

Banks, H. T., & Kojima, F. (2002). Identification of material damage in two-dimensional domains using the SQUID-based nondestructive evaluation system. INVERSE PROBLEMS, 18(6), 1831–1855. https://doi.org/10.1088/0266-5611/18/6/324

Banks, H. T., & Potter, L. K. (2002). Model predictions and comparisons for three toxicokinetic models for the systemic transport of trichloroethylene. MATHEMATICAL AND COMPUTER MODELLING, 35(9-10), 1007–1032. https://doi.org/10.1016/S0895-7177(02)00067-5

Albanese, R. A., Banks, H. T., & Raye, J. K. (2002). Nondestructive evaluation of materials using pulsed microwave interrogating signals and acoustic wave induced reflections. INVERSE PROBLEMS, 18(6), 1935–1958. https://doi.org/10.1088/0266-5611/18/6/330

Albanese, R. A., Banks, H. T., Evans, M. V., & Potter, L. K. (2002). Physiologically based pharmacokinetic models for the transport of trichloroethylene in adipose tissue. BULLETIN OF MATHEMATICAL BIOLOGY, 64(1), 97–131. https://doi.org/10.1006/bulm.2001.0268

Banks, H. T., Rosario, R. C. H., & Tran, H. T. (2002). Proper orthogonal decomposition-based control of transverse beam vibrations: Experimental implementation. IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 10(5), 717–726. https://doi.org/10.1109/TCST.2002.801793

Banks, H. T., Joyner, M. L., Wincheski, B., & Winfree, W. P. (2002). Real time computational algorithms for eddy-current-based damage detection. INVERSE PROBLEMS, 18(3), 795–823. https://doi.org/10.1088/0266-5611/18/3/318

Banks, H. T., Beeler, S. C., Kepler, G. M., & Tran, H. T. (2002). Reduced order modeling and control of thin film growth in an HPCVD reactor. SIAM JOURNAL ON APPLIED MATHEMATICS, 62(4), 1251–1280. https://doi.org/10.1137/S0036139901383280

Banks, H. T., & Raye, J. K. (2002). Well-posedness for systems representing electromagnetic/acoustic wavefront interaction. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 8, 105–125. https://doi.org/10.1051/cocv:2002019

Ackleh, A. S., Banks, H. T., & Pinter, G. A. (2002). Well-posedness results for models of elastomers. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 268(2), 440–456. https://doi.org/10.1006/jmaa.2000.7281

Kepler, G. M., Tran, H. T., & Banks, H. T. (2001). Compensator control for chemical vapor deposition film growth using reduced-order design models. IEEE TRANSACTIONS ON SEMICONDUCTOR MANUFACTURING, 14(3), 231–241. https://doi.org/10.1109/66.939820

Banks, H. T., & Rosario, R. C. H. (2001). Convergence of approximations in feedback control of structures. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 65–78. https://doi.org/10.1016/S0895-7177(00)00229-6

Ly, H. V., Ito, K., Banks, H. T., Jolly, M. R., & Reitich, F. (2001, March 20). Dynamic simulation of the temporal response of microstructure formation in magnetorheological fluids. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, Vol. 15, pp. 894–903. https://doi.org/10.1142/s0217979201005416

Petzold, L. R., Ascher, U., Banks, H. T., Crowley, J., Gander, W., Greengard, L., … Trefethen, A. (2001). Graduate education in computational science and engineering. SIAM Review, 43(1), 163–177.

Banks, H. T., & Bihari, K. L. (2001). Modelling and estimating uncertainty in parameter estimation. INVERSE PROBLEMS, 17(1), 95–111. https://doi.org/10.1088/0266-5611/17/1/308

Banks, H. T., Choi, M. G., Durso, SR, & Ito, K. (2001). Nonlinear exothermic contributions to radio-frequency bonding of adhesives. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2(3), 357–386. https://doi.org/10.1016/S0362-546X(00)00110-3

Lee, C. H., Reitich, F., Jolly, M. R., & Banks, H. T. (2001). Piecewise linear model for field-responsive fluids. IEEE TRANSACTIONS ON MAGNETICS, 37(1), 558–560. https://doi.org/10.1109/20.914377

Banks, H. T., Musante, C. J., & Raye, J. K. (2001). 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. https://doi.org/10.1016/S0895-7177(00)00228-4

Banks, H. T. (2001). Remarks on uncertainty assessment and management in modeling and computation. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 39–47. https://doi.org/10.1016/S0895-7177(00)00227-2

Simon, T. M., Reitich, F., Jolly, M. R., Ito, K., & Banks, H. T. (2001). The effective magnetic properties of magnetorheological fluids. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 273–284. https://doi.org/10.1016/S0895-7177(00)00244-2

Banks, H. T., Musante, C. J., & Raye, J. K. (2000). Approximation methods for inverse problems governed by nonlinear parabolic systems. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 21(7-8), 791–816. https://doi.org/10.1080/01630560008816986

Beeler, S. C., Tran, H. T., & Banks, H. T. (2000). Feedback control methodologies for nonlinear systems. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 107(1), 1–33. https://doi.org/10.1023/A:1004607114958

Banks, H. T., Joyner, M. L., Wincheski, B., & Winfree, W. P. (2000). Nondestructive evaluation using a reduced-order computational methodology. INVERSE PROBLEMS, 16(4), 929–945. https://doi.org/10.1088/0266-5611/16/4/304

Kepler, G. M., Tran, H. T., & Banks, H. T. (2000). Reduced order model compensator control of species transport in a CVD reactor. OPTIMAL CONTROL APPLICATIONS & METHODS, 21(4), 143–160. https://doi.org/10.1002/1099-1514(200007/08)21:4<143::AID-OCA671>3.0.CO;2-Y

Banks, H. T., Rosario, R. C. H., & Smith, R. C. (2000). Reduced-order model feedback control design: Numerical implementation in a thin shell model. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 45(7), 1312–1324. https://doi.org/10.1109/9.867024

Banks, H. T., & Pinter, G. A. (1999). Approximation results for parameter estimation in a class of abstract nonlinear hyperbolic systems. APPLIED MATHEMATICS LETTERS, 12(6), 129–133. https://doi.org/10.1016/S0893-9659(99)00091-9

Simon, T. M., Ito, K., Banks, H. T., Reitich, F., & Jolly, M. R. (1999). Estimation of the effective permeability in magnetorheological fluids. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 10(11), 872–879. https://doi.org/10.1106/6KW6-7V12-NRQ3-BW6V

Banks, H. T., Pinter, G. A., Potter, L. K., Gaitens, M. J., & Yanyo, L. C. (1999). Modeling of nonlinear hysteresis in elastomers under uniaxial tension. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 10(2), 116–134. https://doi.org/10.1106/8M8M-F8DQ-GJ2V-PGK1

Bachmann, K. J., Banks, H. T., Hopfner, C., Kepler, G. M., LeSure, S., McCall, S. D., & Scroggs, J. S. (1999). Optimal design of a high pressure organometallic chemical vapor deposition reactor. MATHEMATICAL AND COMPUTER MODELLING, 29(8), 65–80. https://doi.org/10.1016/S0895-7177(99)00071-0

Banks, H. T., & Zia, L. L. (1999). Pointwise convergence of approximation schemes for parameter estimation in parabolic equations. APPLIED MATHEMATICS LETTERS, 12(7), 27–30. https://doi.org/10.1016/S0893-9659(99)00097-X

Banks, H. T., & Zou, J. (1999). Regularity and approximation of systems arising in electromagnetic interrogation of dielectric materials. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 20(7-8), 609–627. https://doi.org/10.1080/01630569908816914

Banks, H. T. (1999). Remarks on well-posedness theorems for damped second-order systems. APPLIED MATHEMATICS LETTERS, 12(6), 21–24. https://doi.org/10.1016/S0893-9659(99)00073-7

Ly, H. V., Reitich, E., Jolly, M. R., Banks, H. T., & Ito, K. (1999). Simulations of particle dynamics in magnetorheological fluids. JOURNAL OF COMPUTATIONAL PHYSICS, 155(1), 160–177. https://doi.org/10.1006/jcph.1999.6335

Banks, H. T., & Musante, C. J. (1999). Well-posedness for a class of abstract nonlinear parabolic systems with time delay. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 35(5), 629–648. https://doi.org/10.1016/S0362-546X(98)00053-4

Banks, H. T., Musante, C. J., & Tran, H. T. (1998). 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. https://doi.org/10.1016/S0895-7177(98)00077-6

Banks, H. T., & Emeric, P. R. (1998). Detection of non-symmetrical damage in smart plate-like structures. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 9(10), 818–828. https://doi.org/10.1177/1045389x9800901005

Banks, H. T., Luo, Z. H., Bergman, L. A., & Inman, D. J. (1998). On the existence of normal modes of damped discrete-continuous systems. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 65(4), 980–989. https://doi.org/10.1115/1.2791942

Banks, H. T., Durso, S. R., Goodhart, M. A., & Joyner, M. L. (1998). On the radio-frequency inputs in dipolar heating of adhesives. Journal of Microwave Power and Electromagnetic Energy, 33(4), 231–242. https://doi.org/10.1080/08327823.1998.11688380

Bachmann, K. J., Sukidi, N., Hopfner, C., Harris, C., Dietz, N., Tran, H. T., … Banks, H. T. (1998). Real-time monitoring of steady-state pulsed chemical beam epitaxy by p-polarized reflectance. JOURNAL OF CRYSTAL GROWTH, 183(3), 323–337. https://doi.org/10.1016/s0022-0248(97)00410-7

Banks, H. T., Demetriou, M. A., & Smith, R. C. (1998). Utilization of coupling effects in compensator design for structural acoustic systems. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 103(2), 872–887. https://doi.org/10.1121/1.421205

Banks, H. T., & Zhang, Y. (1997). Computational methods for a curved beam with piezoceramic patches. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 8(3), 260–278. https://doi.org/10.1177/1045389X9700800307

Banks, H. T., Smith, R. C., Brown, D. E., Silcox, R. J., & Metcalf, V. L. (1997). Experimental confirmation of a PDE-based approach to design of feedback controls. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 35(4), 1263–1296. https://doi.org/10.1137/S0363012995285909

Banks, H. T., Kurdila, A. J., & Webb, G. (1997). Identification of hysteretic control influence operators representing smart actuators part I: Formulation. MATHEMATICAL PROBLEMS IN ENGINEERING, 3(4), 287–328. https://doi.org/10.1155/S1024123X97000586

Banks, H. T., Kurdila, A. J., & Webb, G. (1997). Identification of hysteretic control influence operators representing smart actuators, Part II: Convergent approximations. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 8(6), 536–550. https://doi.org/10.1177/1045389X9700800606

Banks, H. T., Emeric, P., & Plancke, L. (1997). Modeling of nonsymmetrical damage in plate-like structures. MATHEMATICAL AND COMPUTER MODELLING, 26(3), 55–65. https://doi.org/10.1016/S0895-7177(97)00131-3