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Benito M Chen

Name

[Benito Miguel Chen]
  • Professor, Mathematics

Education

    • 1979 PhD in Applied Mathematics
      California Institute Technolog, 1979
    • 1973 BS in Mathematics
      Universidad Nacional Autonoma, 1973

Publications

      Journal Article 2018
      • Ionic silicon improves endothelial cells' survival under toxic oxidative stress by overexpressing angiogenic markers and antioxidant enzymes
        [Monte, F., Cebe, T., Ripperger, D., Ighani, F., Kojouharov, HristoV, Chen, BenitoMiguel, Kim, H. K. W., Aswath, PraneshB, Varanasi, VenuGopal]. 2018, 1-18 [.] DOI http://dx.doi.org/doi.org/10.1002/term.2744
      2018
      • Modeling Plant Virus Propagation with Seasonality
        [Jackson, M., Chen-Charpentier, B.M.]. 345, 310=319 [.]
      2018 2018
      • A Model of Biological Control of Plant Virus Propagation with Delays
        [Jackson, Mark, Chen-Charpentier, B.M.]. 330, 855-865 [.]
      2018 2018 2018

      Other 2018
      • Modeling Plant Virus Propagation with Seasonality
        [M., Chen-Charpentier, B.]. 352-357 [.] Valencia: "IM2, UP Valencia".

      Journal Article 2017
      • Mathematical Modeling of Chikungunya: Rheumatic fever
        [Gonzalez-Parra, G, Aranda Lozano, DF, Chen, BenitoMiguel].
      2017
      • A Mathematical Model for the Effect of Obesity on Cancer Growth and on the Immune System Response, Applied Mathematical Modelling
        [Carrillo, RK, Delgadillo, S, Chen, BenitoMiguel]. 40, 4908 [.]
        http://dx.doi.org/10.1016/j. apm.2015.12.018
      2017 2017
      • Effects of the Obesity on Optimal Control Schedules of Chemotherapy o n a Cancerous Tumor
        [Ku-Carrillo, RA, Delgadillo, SE, Chen-Charpentier, BM, Chen, BenitoMiguel]. 309, 6 03 - 610 [.] DOI http://dx.doi.org/doi:j.cam.2016.05.010
      2017 2017 2017 2017
      • Quantifying rotavirus kinetics in the REH tumor cell line using in vitro data
        [GGonzalez-Parra, HDobrovolny, Chen, BenitoMiguel, BChen-Charpentier, Aranda Lozano, DF, RGuerrero].
      2017 2017
      • Transient dynamics of terrestrial carbon storage
        [Solis, FJ, Chen-Charpentier, BM, Kojouharov, HV, Chen, BenitoMiguel]. 14, 145-161 [.] DOI http://dx.doi.org/10.5194/bg

      Conference Proceeding 2017
      Abstract 2016
      Journal Article 2016
      • A Mathematical Model for the Effect of Obesity on Cancer Growth and on the Immune System Response, Applied Mathematical Modelling
        [Carrillo, Rku, Delgadillo, S, Chen, BenitoMiguel]. 40, 4908-4920 [.]
        http://dx.doi.org/10.1016/j. apm.2015.12.018
      2016
      • A Model of Biological Control of Plant Virus Propagation with Delays
        [Jackson, M, Chen, BenitoMiguel, Jodar, L, Cortes, JC, Acedo, L]. 54-59 [.]
      2016
      • Analysis and Models in Interdisciplinary Mathematics 2016
        [Chen, BenitoMiguel, RCompany, Cortes, JC, Chen-Charpentier, B, Solis, FranciscoJ, RCompany, Torregrosa, JR].
      2016 2016 2016 2016
      • Transit Times and Mean Ages for Nonautonomous and Autonomous Compartmental Systems
        [Rasmussen, R, Hastings, A, Smith, MJ, Agusto, FB, Chen, BenitoMiguel, Hoffman, FM, Jiang, J, Todd-Brown, KE, Wang, YP, Luo, Y]. 73, 1379-1398 [.] DOI http://dx.doi.org/DOI 10.1007/s00285 - 016 - 0990 - 8

      Book Chapter 2015
      • Virus Models with Randomness
        [Chen, BenitoMiguel]. 43-48 [.] Saltillo,Coahuila: "Universidad Autonoma de Coahuila".
      2015
      • Virus Models with Randomness, in Topicos recientes sobre aplicaciones de las matem aticas en Mexico
        [Chen, BenitoMiguel, Mota, FDominguez, Calvillo, IGarcia, HMadrid]. 43-48 [.] Saltillo, Coahhuila.

      Journal Article 2015
      • A Model of Competition in the Spreading of Information
        [Chen, BenitoMiguel, Gonzalez-Parra, G]. 15 [.]
      2015
      • Modeling Plant Virus Propagation with Delays, 2015
        [, Chen, BenitoMiguel, Jodar, L, Acedo, L, Cortes, JC].
      2015
      • A classification of slow convergence near parametric periodic points of discrete dynamical systems, International Journal of Computer Mathematics
        [Solis, FJ, Chen, BenitoMiguel, Kojouharov, HV]. "International Journal of Computer Mathematics". DOI http://dx.doi.org/DOI: 10.1080 /00207160.2015.1015528
      2015
      • A mathematical model of bone remodeling with delays, J. C omputational and Applied Mathematics ,
        [Chen, BenitoMiguel]. 291, 76-84 [.]
      2015 2015
      • Effects of a Discrete Time Delay on an HIV Pandemic
        [Diakite, I, Chen, BenitoMiguel, Tost, GOlivar, Vasilieva, O]. 57-74 [.]
      2015
      • Effects of Discrete Time Delays and Parameters Variation on Dynamical Systems
        [Diakite, I, Chen, BenitoMiguel]. DOI http://dx.doi.org/10.11145
      2015
      • Effects of the obesity on optimal control schedules of chemotherapy on a cancerous tumor, 2015
        [Delgadillo, SE, Ku-Carrillo, RA, Chen, BenitoMiguel, Jodar, L, Acedo, L, Cortes, JC]. 183-188 [.]
      2015
      • On the Effects of Stochastic Perturbations on a Bone Remodeling Model
        [Chen, BenitoMiguel, Aranda, Diego].
      2015
      • Stability analysis of a Komarova type model for the interactions of osteoblast and osteoclast cells during bone remodeling, Mathematical Biosciences
        [Jerez, S, Chen, BenitoMiguel]. 264, 29-37 [.]
      2015

      Journal Article 2014
      • A Mathematical Model of Bone Remodeling with Delays
        [Chen, BenitoMiguel, Diakite, I, Jodar, L, Acedo, L, Cortes, JC, Torregrosa, JR]. 34-37 [.]
      2014 2014
      • A Model for Coupling Fire and Insect Outbreak in Forests
        [Chen, BenitoMiguel, Leite, M]. 286, 26-36 [.]
      2014
      • Analysis and Models in Interdisciplinary Mathematics, Abstract and Applied Analysis
        [Jodar, L, Chen, BenitoMiguel, Cortes, JC, Solis, FJ, Villanueva, RJ]. 2014, 2 [.] DOI http://dx.doi.org/10.1155/2014/408980
      2014
      • Constructing adaptive generalized polynomial chaos method to measure the uncertainty in continuous models
        [Chen, BenitoMiguel, Cortes, JC, Licea, JA, Romero, jV, Rosello, MD, Santonia, FJ, Villanueva, J]. 109, 113-129 [.] DOI http://dx.doi.org/10.1016/j.matcom.2014.09.002
      2014 2014 2014
      • Polynomial Chaos for random fractional order differential equation
        [Gonzalez-Parra, G, Chen, BenitoMiguel, Arenas, AJ]. 226, 123-130 [.]

      Journal Article 2013
      • Models of Virus Propagation with Randomness
        [Chen, BenitoMiguel, Stanescu, D].
      2013
      • Analytic and numerical solutions of a Riccati differential equation with random coefficients
        [Licea, JA, Villafuerte, L, Chen, BenitoMiguel]. 239, 208 – 219 [.]
      2013 2013
      • Mathematical modelling of advertising using fractional-order derivatives
        [Chen, BenitoMiguel, Gonzalez-Parra, G, Arenas, AJ, Jodar, L, Acedo, L, Cortes, JC, Ehrhardt, M]. 35-38 [.]
      2013
      • Positive Numerical Solution for a Nonarbitrage Liquidity Model using Nonstandard Finite Difference Schemes
        [Gonzalez-Parra, G, Arenas, J, Chen-Charpentier, BM, Chen, BenitoMiguel]. DOI http://dx.doi.org/10.1002/num.21804
      2013
      • Some recommendations for applying gPC (generalized polynomial chaos) to modeling: An analysis through the Airy random differential equation
        [Chen, BenitoMiguel, Cortes, JC, Romero, JV, Rosello, MD]. 219, 4208 – 4218 [.]
      2013
      • Upscaling from discrete to continuous mathematical models of two interacting populations
        [Prieto-Langarica, A, Kojouharov, HV, Chen, BenitoMiguel]. 66, 1606 – 1612 [.]

      Book 2013
      • Do the generalized polynomial chaos and Fröbenius methods retain the statistical moments of random differential equations?
        [Chen, BenitoMiguel, Cortes, JC, Romero, JV, Rosello, MD]. 26, 553 – 558 [.]

      Instructor's Manual 2013
      • A Fractional Order Epidemic Model for the Simulation of Outbreaks of Influenza A(H1N1)
        [Gonzalez-Parra, G, Arenas, AJ, Chen, BenitoMiguel]. 37, 2218-2226 [.] DOI http://dx.doi.org/0.1002/mma.2968

      Journal Article 2012
      • A Random Differential Transform Method: Theory and Applications
        [Villafuerte, L, Chen, BenitoMiguel]. 25, 1490 – 1494 [.]
      2012
      • Discrete and Continuous Approaches to Modeling Cell Movement in the Presence of a Foreign Stimulus
        [Prieto-Langarica, A, Kojouharov, HV, Chen, BenitoMiguel]. 64, 167-174 [.]
      2012
      • Parameter Estimation Using Polynomial Chaos
        [Chen, BenitoMiguel, Stanescu, D, Jodar, L, Acedo, L, Cortes, JC, Pedroche, F]. 32-36 [.]
      2012

      Other 2011
      • Research-oriented education at the intersection of biology and mathematics
        [Grover, JP, Kojouharov, HV, Scarbrough, B, Prieto Langarica, A, Mydlarz, LD, Gough, L, Hawkins, DL, Kribs-Zaleta, C, Chen, BenitoMiguel].

      Journal Article 2011
      • Polynomial Approximation of Nonlinear Differential Systems with Prefixed Accuracy, Applied Mathematics and Computation
        [Chen, BenitoMiguel, Jodar, L, Telyakovskiy, A]. 218(10.1016), 1650 - 1657 [.]
      2011
      • A Cellular Automata Model of Infection Control on Medical Implants, Applications and Appl. Math
        [Prieto-Langarica, A, Kojouharov, H, Chen, BenitoMiguel, Tang, L]. 6(11), 1741 - 1750 [.]
      2011 2011
      • Mathematical Modeling of Chemoatractant Effects on Cell Movement
        [PRIETO - LANGARICA , A, KOJOUHAROV, H, Chen, BenitoMiguel]. 1404, 184-189 [.]
      2011
      • Models of Virus Propagation with Randomness
        [Chen, BenitoMiguel, Stanescu, D, Jodar, L, Acedo, L, Cortes, JC]. 93-96 [.]

      Conference Proceeding 2010
      • Microbial Growth Models with Randomness
        [Chen, BenitoMiguel, Stanescu, D, Moto, F, Tinoco, G].

      Journal Article 2010
      • A Nonstandard Numerical Scheme of Predictor - Corrector Type for Epidemic Models
        [Arenas, AJ, Gonzalez-Parra, G, Chen, BenitoMiguel]. 59(12), 3740 - 3749 [.]
      2010
      • Biofilm Growth on Medical Implants with Randomness, Modelling for Addictive Behaviour
        [Chen, BenitoMiguel, Stanescu, D, Jodar, Lucas]. 44-47 [.]
      2010
      • Combination of Nonstandard Schemes and Richardson’s Extrapolation to Improve the Numerical Solution of Population Models
        [Gonzalez-Parra, G, Arenas, AJ, Chen, BenitoMiguel]. 52(7-8), 1030-1036 [.]
      2010
      • Unconditionally Positive Numerical Methods for Adsorption-Desorption in Porous Media
        [Chen, BenitoMiguel, Birkle, P, Torres, I, ]. 777-780 [.]

      Technical Report 2010
      • A Cellular Automata Model of S. Epidermidis-Neutrophils Interactions on the Surface of a Medically Implanted Device
        [Chen, BenitoMiguel].

      Conference Proceeding 2009
      • Random Coefficient Differential Equation Models for Monod Kinetics
        [Stanescu, D, Chen, BenitoMiguel, Hou, X, Lu, X, Miranville, A, Su, J, Zhu, J]. 719-728 [.]

      Journal Article 2009
      • Dynamical Analysis of the Transmission of Seasonal Diseases Using the Differential Transformation Method
        [Arenas, AJ, Gonzalez, G, Chen, BenitoMiguel, Jodar, Lucas]. 16-25 [.]
      2009
      • Dynamical Analysis of the Transmission of Seasonal Diseases Using the Differential Transformation Method
        [Arenas, AJ, Gonzalez, G, Chen, BenitoMiguel]. 50, 765 - 776 [.]
      2009
      • Numerical Simulation of Multi-Species Biofilms in Porous Media for Different Kinetics
        [Chen, BenitoMiguel, Dimitrov, DT, Kojoharov, HV]. 79, 1846 - 1861 [.]
      2009
      • Random Coefficient Differential Equation Models for Bacterial Growth
        [Stanescu, D, Chen, BenitoMiguel]. 50, 885-895 [.]
      2009
      • Random Coefficient Differential Models of Growth of Anaerobic Photosynthetic Bacteria
        [Stanescu, D, Chen, BenitoMiguel, Jensen, B, Colberg, P]. 34, 44-58 [.]

      Technical Report 2008
      • Mathematical Modeling Of Bioremediation Of Trichloroethylene In Aquifers
        [Chen, BenitoMiguel]. 16 [.]

      Journal Article 2008
      • Mathematical Modeling of Bioremediation of Trichloroethylene in Aquifers , Computers and Mathematics with Applications
        [Chen, BenitoMiguel, KOJOUHAROV, H]. 56, 645 - 656 [.]

      Book Chapter 2007
      • Biofilms in Porous Media: Mathematical Modeling and Numerical Simulation
        [Chen, BenitoMiguel, KOJOUHAROV, H., Singh, S.N., Tripathi, R.D.]. 481 - 512 [.] Springer Verlag, New York.

      Journal Article 2007
      • Constructing Accurate Polynomial Approximations for Nonlinear Differential Initial Value Problems
        [Chen, BenitoMiguel, Company, R, Jodar, L, Rosello, MD]. 193, 523 - 534 [.]
      2007
      • Monte Carlo Methods Applied to Flow in Porous Media
        [Chen, BenitoMiguel, Madrid de la Vega, H, Garcia, I]. 94-119 [.]
      2007
      • Multiphase Flow in Porous Media
        [Chen, BenitoMiguel]. 38, 93 - 113 [.]
      2007
      • Qualitatively Stable Non-standard Finite Difference Methods
        [Chen, BenitoMiguel, Kojouharov, HV, Dimitrov, DT, Farago, I, Vabishchevich, P, Vulkov, L]. 20-28 [.]

      Technical Report 2007
      • Numerical Simulation Of Multi-Species Biofilms In Porous Media For Different Kinetics
        [Chen, BenitoMiguel, Dimitrov, DT, Kojouharov, HV]. 20 [.]

      Journal Article 2006
      • Combined Nonstandard Numerical Methods for ODEs with Polynomial Right-hand Sides
        [Chen, BenitoMiguel, Dimitrov, DT, Kojouharov, HV]. 73, 105-113 [.]
      2006
      • Homogenization Analysis Applied to Contaminant Diffusion-Reaction Processes in Porous Media
        [Chen, BenitoMiguel, Desai, A, Jodar, L, Arnau, JM]. 1-6 [.] Valencia: "Editorial UPV".

      Book 2005
      • Numerical Solution of Stochastic Differential Equations
        [Chen, BenitoMiguel]. Morelia.

      Book Chapter 2005
      • Reliable Finite Difference Schemes with Applications in Mathematical Ecology
        [Dimitrov, D, KOJOUHAROV , H, Chen, BenitoMiguel, Mickens, RE]. World Scientific.

      Conference Proceeding 2005
      • Modeling of Biofilm Growth in Porous Media
        [Chen, BenitoMiguel]. Morelia.

      Journal Article 2005
      • Chaos in the One-dimensional Wave Equation
        [Solis, F, Jodar, L, Chen, BenitoMiguel]. 18, 85-90 [.]
      2005
      • Chebyshev Approximations for Nonlinear Differential Initial Value Problems
        [Chen, BenitoMiguel, Garcia-Bolos, R, Jodar, L, Rosello, MD]. 63, 629 - 637 [.]

      Journal Article 2004
      • Nonstandard Discrete Approximations Preserving Stability Properties of continuous Mathematical Models
        [Solis, F, Chen, BenitoMiguel]. 40, 481 - 490 [.]
      2004
      • Nonstandard Eulerian-lagrangian Methods for Multi-dimensional Reactive Transport Problems
        [Chen, BenitoMiguel, KOJOUHAROV, H]. 49, 225-243 [.]

      Journal Article 2003
      • Explicit mixed finite order Runge-Kutta methods
        [Chen, BenitoMiguel, Solis, F]. 44, 21-30 [.]
      2003
      • Numerical Simulation of Dual-species Biofilms in Porous Media
        [Chen, BenitoMiguel, KOJOUHAROV, H]. 47, 377-389 [.]
      2003
      • Stochastic Models in Population Dynamics
        [Kurita, S, Chen, BenitoMiguel, Jodar, L, Coll, C, Cortes, JC].
      2003
      • The Truncation Error of the Two-variable Chebyshev Series Expansions
        [Chen, BenitoMiguel, Garcia-Bolos, R, Jodar, L, Rosello, MD]. 45, 1647-1653 [.]

      Journal Article 2002
      • Numerical Simulation of Biofilm-forming Bacteria and Other Microbes in Porous Media
        [Chen, BenitoMiguel, Hassanizadeh, SM]. 47, 819 - 826 [.]
      2002
      • Modeling of Flow and Transport at the Microscale
        [Li, Y, Chen, BenitoMiguel]. 40, 245-259 [.]
      2002
      • Numerical Simulation of Biofilm-forming Bacteria and Other Microbes in Porous Media
        [Chen, BenitoMiguel, KOJOUHAROV, H]. 47, 819 - 826 [.]
      2002
      • Required number of Location-years for Estimating Functional Lower Developmental Thresholds and Required Thermal Summations of Insects: the First Emergence of Adult Apthona Nigriscutis Foudras as an Example
        [Legg, DE, Van Vleet, SM, Ragsdale, DW, Hansen, RW, Chen, BenitoMiguel, Skinner, L, Lloyd, JE]. 48, 147-154 [.]
      2002
      • Simulation of Thick Biofilm Growth at the Microscale
        [Chen, BenitoMiguel, YLi]. 40, 261-271 [.]

      Conference Proceeding 2002
      • A Stochastic Bacterial Transport Model in a Porous Medium
        [Chen, BenitoMiguel, Kurita, S, Hassanizadeh, SM].

      Other 2002
      • The Proper Orthogonal Decomposition and Flow in Porous Media
        [Chen, BenitoMiguel, , ].
      2002
      • Simulation of Biobarrier-Protozoa Interaction in Porous Media
        [Chen, BenitoMiguel, Kojouharov, H, Chen, Z, Ewing, R].
      2002
      • Modeling of Biofilm Growth in Porous Media at the Pore Scale and Up - Scaling
        [Chen, BenitoMiguel, Li, Y, Suchomel, B, Chadam, J, ].

      Journal Article 2001
      • Frobenius-Chevyshev Polynomial Approximations with A Prior Error Bounds for Nonlinear Initial Value Differential Problems
        [Chen, BenitoMiguel, Garcia-Bolos, R, Jodar, L]. 41, 269-280 [.]
      2001
      • Modeling of Subsurface Biobarrier Formation
        [Chen, BenitoMiguel, KOJOUHAROV, H]. 3, 1-13 [.]
      2001
      • Molecular Dynamic Simulations of Gases using a Split-Hamiltonian Method
        [Chen, BenitoMiguel, Schenker, J]. 38, 21-48 [.]
      2001
      • Non Standard Methods for Differential Equations (in Spanish)
        [Chen, BenitoMiguel, Kojouharov, H, Coll, C, Esteban, R, Martinez, A, Jodar, L].

      Book Chapter 2000
      • Nonstandard Eulerian - Lagrangian Methods for Convection - Diffusion - Reaction Equations, in Applicati ons of Nonstandard Finite Difference Schemes
        [Chen, BenitoMiguel, KOJOUHAROV, H, Mickens, RE]. World Scientific.

      Other 2000
      • Numerical Simulations of Mean Solution for Bacterial Transport in a Porous Media
        [Chen, BenitoMiguel, Kurita, S, Bentley, LR].

      Conference Proceeding 2000
      • Numerical Modeling of Biofilm Growth at the Pore Scale
        [Chen, BenitoMiguel, Li, Y, Erickson, LE, Rarkin, MM].

      Journal Article 2000
      • A High-order Godunov Method for One Dimensional Convection-Diffusion-Reaction Problems
        [Wo, S, Chen, BenitoMiguel, Wang, J]. 16, 495-512 [.]
      2000
      • Toward Fair Comparisons of Binomial Sequential Sampling Plans
        [Legg, D, Chen, BenitoMiguel]. 46, 250-260 [.]

      Conference Proceeding 1999
      • Accurate Numerical Simulation of Biobarrier Formation in Porous Media
        [Chen, BenitoMiguel, Kojoharov, H, Erickson, LE, Rarkin, MM].

      Edition 1999
      • Non-standard Numerical Methods Applied to Subsurface Biobarrier Formation Models in Porous Media
        [Chen, BenitoMiguel, KOJOUHAROV, HV]. 61, 779-798 [.]

      Journal Article 1999
      • Non-Standard Methods for the Convective-Dispersive Transport Equation with Nonlinear Reactions
        [Kojouharov, H, Chen, BenitoMiguel]. 15, 617-624 [.]
      1999
      • Numerical Simulation of Biofilm Growth in Porous Media
        [Chen, BenitoMiguel]. 103, 55-66 [.]
      1999
      • Two-parameter Bifurcations of Multiple Steady States of a Reaction-Diffusion Equation
        [Kostova, T, Chen, BenitoMiguel]. 13(1-2), 169-186 [.]

      Book 1998
      • Iterative Methods in Scientific Computation
        [Chen, BenitoMiguel, Wang, J, Allen, M, Chen, B, Mathew, T]. New Brunswick, NJ: "IMACS".

      Conference Proceeding 1998
      • Homogenization Analysis to Contaminant Transport Processes
        [Chen, BenitoMiguel, JWang, ].
      1998
      • Numerical Simulation of Flow and Transport at the Pore Scale
        [Chen, BenitoMiguel, Li, Y, Burganos, VN].

      Journal Article 1998
      • Discretizations of Nonlinear Differential Equations Using Explicit Finite Order Methods
        [Chen, BenitoMiguel, Solis, F]. 90, 171-183 [.]
      1998
      • Macroscale Properties of Porous Media from a Network Model of Biofilm Processes
        [Suchomel, BJ, Chen, BenitoMiguel, Allen, MB]. 31, 39-66 [.]
      1998
      • Network Model of Flow, Transport, and Biofilm Effects in Porous Media
        [Suchomel, BJ, Chen, BenitoMiguel, Allen, MB]. 30, 1-23 [.]
      1998
      • Non-Standard Methods for the Convective Transport Equation with Nonlinear Reactions
        [Kojouharov, H, Chen, BenitoMiguel]. 14, 467-485 [.]

      Other 1998
      • A Linear Direct Scheme for Non-Stationary Navier-Stokes Equations
        [Li, Y, Chen, BenitoMiguel, Wang, J].
      1998
      • Generalized Godunov Methods for Enhanced Oil Recovery Processes with Microbial Permeability Modification in 1-D Coreflood Models
        [Chen, BenitoMiguel, Wo, S, Wang, J].

      Other 1997
      • Homogenization Analysis and Numerical Simulations of Transport in Porous Media
        [Desai, AM, Chen, BenitoMiguel, Morel-Seytoux, HJ].
      1997
      • Modeling of Subsurface Biobarrier Formation and Persistence
        [Chen, BenitoMiguel, Cunningham, A].
      1997
      • A Network Model for Biofilm Growth and its Effects in Porous Media
        [Suchomel, B, Chen, BenitoMiguel, Goertler, Chris].

      Journal Article 1996
      • Finite-element Solution of Reaction-Diffusion Equations with Advection, Computational Methods in Water Resources XI,
        [Liu, B, Allen, MB, Kojouharov, H, Chen, BenitoMiguel, Aldama, AA, Aparicio, J, Brebbia, CA, Gray, WG, Herrera, I, Pinder, GF].
      1996
      • Homogenization Analysis Applied to Transport in Heterogeneous Porous Media
        [Desai, AM, Chen, BenitoMiguel, Morel-Seytoux, HJ]. "Hydrology Days Publication".
      1996
      • Numerical Simulation of Biofilm Growth in Porous Media at the Microscale, Computational Methods in Water Resources XI,
        [Chen, BenitoMiguel, Cunningham, A, Visser, E, Aldama, AA, Aparicio, J, Brebbia, CA, Gray, WG, Herrera, I, Pinder, GF]. "Computational Mechanics Publications".

      Journal Article 1995
      • A Computer Science Approach for Solving Elliptic Differential Equations
        [Peralta, R, Chen, BenitoMiguel]. 11, 573-590 [.]
      1995
      • General Consolidation Curves for Clays, in Compression and Consolidation of Clayey Soils
        [Juarez-Badillo, E, Chen, BenitoMiguel, Yoshikuni , Kusakabe, Balkema].
      1995
      • Layered Solutions to a Bistable Reaction-Diffusion Equation
        [Chen, BenitoMiguel, Flores, G, Shih, SD]. 117, 217-244 [.]

      Journal Article 1994
      • A Singular Perturbation Numerical Method for Solving Ordinary Differential Equations with Layers
        [Chen, BenitoMiguel, Shih, SD]. 2, 451-462 [.]
      1994
      • Two-Dimensional Modeling of Microscale Transport and Biotransformation in Porous Media
        [Chen, BenitoMiguel, Cunningham, A, Ewing, R, Peralta, R, Visser, E]. 10, 65-83 [.]

      Other 1994
      • Design of a Compositional Reservoir Simulator
        [Xie, R, Allen, M, Chen, BenitoMiguel, Wang, J].

      Conference Proceeding 1993
      • Comprehensive Modelling of the Wind/Wave System for Applications to Physical Oceanography and Remote Sensing
        [Chen, BenitoMiguel].

      Journal Article 1993
      • A Numerical Perturbation Method for Solving Ordinary Differential Equations with Internal Layers
        [Chen, BenitoMiguel, Shih, SD, Miller, JJH]. " Front Range Press".

      Other 1993
      • Numerical Methods for Multiphase and Multicomponent Flow in Porous Media
        [Chen, BenitoMiguel, Wang, J].

      Journal Article 1992
      • Bifurcation of Solutions for an Inverse Problem in Potential Theory
        [Chen, BenitoMiguel, Jorge, MC, Minzoni, AA]. 86, 31-51 [.]

      Journal Article 1989
      • A method for the numerical solution of boundary layer problems (an application to a coronary valve)
        [Chen, BenitoMiguel, Minzoni, AA, Peralta, R]. 6, 65-70 [.]

      Journal Article 1988
      • A Numerical Search for Bifurcation Solutions to a Nonlinear Problem in Geogravity
        [Chen, BenitoMiguel, Jorge, MC, ].(522),
      1988
      • The Computation of Bifurcation
        [Chen, BenitoMiguel]. 5, 145-154 [.]

      Other 1988
      • A Numerical Search for Bifurcation Solutions to a Nonlinear Problem in Geogravity
        [Chen, BenitoMiguel, Jorge, MC].(522),

      Book 1987
      • Introduction to the Theory and Solution of Integral Equations
        [Chen, BenitoMiguel, Vargas, C. ].
      1987
      • Numerical Solution of Partial Differential Equations by Finite Difference
        [Chen, BenitoMiguel, , OManero, CVargas].

      Journal Article 1986
      • Steady and Nonsteady Waves on Deep Water
        [Chen, BenitoMiguel]. 1, 193-200 [.]

      Other 1986
      • Stability of Capillary Waves on Deep Water, Numerical Analysis
        [Chen, BenitoMiguel, Saffman, PG, Hennart, JP]. "Springer - Verlag".

      Technical Report 1986
      • The Stefan Problem in One Dimension (Spanish)
        [Huerta, JL, Chen, BenitoMiguel].

      Journal Article 1985
      • Three Dimensional Stability and Bifurcation of Capillary and Gravity Waves
        [Chen, BenitoMiguel, Saffman, PG]. 72, 125-147 [.]

      Journal Article 1984
      • umerical Treatment of Leaky Aquifers in the Short Time Range
        [Chen, BenitoMiguel, Herrera, I, Rodenshein, J, Bennet, G]. 313-317 [.]

      Journal Article 1983
      • Consolidation Curves for Clays
        [Juarez-Badillo, E, Chen, BenitoMiguel]. 109, 1303-1312 [.]
      1983
      • Delayed Yield, An Exact Quasi-Three Dimensional Model for Free Aquifers
        [Herrera, I, Chen, BenitoMiguel]. 6, 54-58 [.]

      Other 1983
      • A Method for Solving Nonlinear Parabolic Equations with Moving Boundaries, Numerical Methods Proceedings
        [Chen, BenitoMiguel]. "Springer-Verlag".

      Journal Article 1982
      • Numerical Treatment of Leaky Aquifers in the Short Time Range
        [Chen, BenitoMiguel, Herrera, I]. 18, 557-562 [.]
      1982
      • The Teaching of Numerical Analysis (Spanish)
        [Chen, BenitoMiguel].

      Other 1982
      • A Study of the Stability of the Interface between Two Inmiscible Viscous Fluids, Numerical Analysis, Proceedings
        [Chen, BenitoMiguel, Noyola, A, Hennart, JP]. "Springer-Verlag".

      Technical Report 1982
      • A Quasi-Three Dimensional Theory for Free Surface Flows and Waves
        [IHerrera, Chen, BenitoMiguel].(278),

      Technical Report 1981
      • Numerical Methods for the Solution of Systems of Ordinary Diferential Equations, Applied to the Simulation of Thermoelectric Plant
        [England, R, Farah, JL, Chen, BenitoMiguel, Calderon, A]. 75 [.]

      Journal Article 1980
      • Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep Water
        [Chen, BenitoMiguel, Saffman, PG]. 62, 1-21 [.]
      1980
      • Steady Gravity - Capillary Waves on Deep Water, Part II: Numerical Results for Finite Amplitude
        [Chen, BenitoMiguel, Saffman, PG]. 62, 95-111 [.]

      Journal Article 1979
      • Steady Gravity - Capillary Waves on Deep Water
        [Chen, BenitoMiguel, Saffman, PG]. 60, 183-210 [.]

      Technical Report 1974
      • Analysis of Consolidations for the Construction of the Lakes of Plan Texcoco
        [Herrera, I, Alberro, J, Leon, JL, Chen, BenitoMiguel].
      1974
      • Analysis of the Consolidation and Drawdowns Generated in Texcoco Sur by Pumping
        [Alberro, J, Chen, BenitoMiguel].

      Research Report Unknown
      • A Numerical Method for Solving an Inverse Problem in Geomagnetism
        [Chen, BenitoMiguel, Jorge, MC] (1925).
      Unknown
      • Solving Moving Boundary Problems Using the Box Scheme
        [Chen, BenitoMiguel] (1925).

      Technical Report Unknown
      • A Numerical Method for Solving an Inverse Problem in Geomagnetism (Spanish), Memorias del Taller de Ecuaciones Diferenciales, V Coloquio del Departmento de Matematicas del CINVESTAV
        [Chen, BenitoMiguel] (1925).
      Unknown
      • Simulation of the Colomos Aquifer for Use with a Thermoelectrical Plant
        [Herrera, I, Hennart, JP, Chen, BenitoMiguel] (1925).
      Unknown
      • Simulation of the Rio Escondido Aquifer
        [Herrera, I, Hennart, JP, Chen, BenitoMiguel] (1925).

Presentations

    • October  2018
      Chen, BenitoMiguel, "ree Harvesting In Age-structured Forests Subject To Beetle Infestations", SIAM, U. Oklahoma, Norman, Oklahoma. (October 7, 2018).
    • August  2018
      Chen, BenitoMiguel, "Mathematical Models of the Immune System on Cardiac Infarction", ENOAN and U. Aguascalientes, Aguascalientes, Mexico. (August 30, 2018).
    • July  2018
      Chen, BenitoMiguel (Author & Presenter), "Optimal Control of Plant Virus Propagation", IMM, Universidad Politecnica de Valencia, Valencia, Spain. (July 18, 2018).
    • May  2018
      Chen, BenitoMiguel (Author & Presenter), "Dynamical Systems, Stochastic Differential Equations and Computational Methods", University of Cheikh Anta Diop, Dakar, Senegal. (May , 2018).
    • July  2017
      Chen, BenitoMiguel (Author & Presenter), "Modeling of Biological Control of Plant Viruses with Seasonality", IMM, U. Politecnica de Valencia, Valencia,Spain. (July 18, 2017).
    • June  2017
      Chen, BenitoMiguel, "Numerical Methods for Flow and Transport in Porous Media ", Guadalajara, Mexico. (June , 2017).
    • June  2017
      Chen, BenitoMiguel, "Numerical Solution of Differential Equations with Randomness", Guadalajara, Mexico. (June 16, 2017).
    • May  2017
      Chen, BenitoMiguel, "A Model of the Spread of Information", Department of Mathematics, U. Autonoma de Aguascalientes, Mexico. (May 26, 2017).
    • October  2016
      Chen, BenitoMiguel, Kojouharov, HristoV, "Mathematical Models in the Life Sciences", BionorthTX, Arlington, TX. (October 26, 2016).

Support & Funding

This data is entered manually by the author of the profile and may duplicate data in the Sponsored Projects section.
    • Sept 2017 to Aug 2018 Mathematical Modeling of Dynamics of Calcium Codes for Drugs Evaluation sponsored by  - $20000
      (Funded)

Students Supervised

    • Oct 2018
      Choksi Girishkumar, Sardar Vallabhbhai National Institute of Technology, Surat, India, external evaluator
    • Aug 2018
      Mark Jackson, (Mathematics)
    • Aug 2018
      Iris Alvarado,
    • May 2018
      Llewellyn Smith, (Mathematics)
    • Feb 2018
      Salvador Flores, CIMAT, Guanajuato, Mexico
    • Dec 2017
      Patel Vishnubhai , Sardar Vallabhbhai National Institute of Technology, Surat, India
    • Aug 2017
      Pathak Prahlad, Sardar Vallabhbhai National Institute of Technology, Surat, India
    • July 2017
      Huda Hadi, (Mathematics)
    • May 2017
      Hassan Al-Dujali,
    • Dec 2016
      Sarah Langford, (Mathematics)
    • Dec 2016
      Sat Byung Seo, (Mathematics)
    • May 2016
      Daipayan Sarkar, (Mech and Aero Engineering)
    • Feb 2016
      Alina Sotolongo,

Courses

      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2019 Download Syllabus
      • MATH 2326-007 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2019
      • MATH 5320-001 ORDINARY DIFFERENTIAL EQUATION
        (Course Id: 108434)
        Fall - Regular Academic Session - 2019
      • MATH 5391-003 SPECIAL TOPICS IN MATH
        (Course Id: 108486)
        Summer - 2019
      • MATH 5391-004 SPECIAL TOPICS IN MATH
        (Course Id: 108486)
        Summer - 2019
      • MATH 2326-004 CALCULUS III
        (Course Id: 108349)
        Spring - Regular Academic Session - 2019
      • MATH 5320-001 ORDINARY DIFFERENTIAL EQUATION
        (Course Id: 108434)
        Spring - Regular Academic Session - 2019
      • MATH 1421-150 PREPARATION FOR CALCULUS
        (Course Id: 111500)
        Spring - Regular Academic Session - 2019
      • MATH 1421-151 PREPARATION FOR CALCULUS
        (Course Id: 111500)
        Spring - Regular Academic Session - 2019
      • MATH 1421-152 PREPARATION FOR CALCULUS
        (Course Id: 111500)
        Spring - Regular Academic Session - 2019
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2018
      • MATH 5307-001 MATHEMATICAL ANALYSIS I
        (Course Id: 108421)
        Fall - Regular Academic Session - 2018
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Summer - Five Week - First - 2018
      • MATH 7399-004 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Summer - Eleven Week - 2018
      • MATH 5350-001 APPLIED MATHEMATICS I
        (Course Id: 108464)
        Spring - Regular Academic Session - 2018
      • MATH 2326-004 CALCULUS III
        (Course Id: 108349)
        Spring - Regular Academic Session - 2018
      • MATH 6699-008 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2018
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2017
      • MATH 6699-006 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2017
      • MATH 5320-001 ORDINARY DIFFERENTIAL EQUATION
        (Course Id: 108434)
        Fall - Regular Academic Session - 2017
      • MATH 5391-005 SPECIAL TOPICS IN MATH
        (Topic: Modeling Plant Virus II | Course Id: 108486)
        Summer - Five Week - Second - 2017
      • MATH 2326-003 CALCULUS III
        (Course Id: 108349)
        Spring - Regular Academic Session - 2017
      • MATH 5308-001 MATHEMATICAL ANALYSIS II
        (Course Id: 108422)
        Spring - Regular Academic Session - 2017
      • MATH 5999-002 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Spring - Regular Academic Session - 2017
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2016
      • MATH 5307-001 MATHEMATICAL ANALYSIS I
        (Course Id: 108421)
        Fall - Regular Academic Session - 2016
      • MATH 5391-010 SPECIAL TOPICS IN MATH
        (Topic: Advanced Geometry Topics | Course Id: 108486)
        Fall - Regular Academic Session - 2016
      • MATH 5391-006 SPECIAL TOPICS IN MATH
        (Topic: Modeling of Plant Viruses I | Course Id: 108486)
        Summer - Eleven Week - 2016
      • MATH 5391-007 SPECIAL TOPICS IN MATH
        (Topic: Modeling of Plant Viruses II | Course Id: 108486)
        Summer - Eleven Week - 2016
      • MATH 2326-003 CALCULUS III
        (Course Id: 108349)
        Spring - Regular Academic Session - 2016
      • MATH 5308-001 MATHEMATICAL ANALYSIS II
        (Course Id: 108422)
        Spring - Regular Academic Session - 2016
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2015
      • MATH 4393-001 HONORS THESIS/SENIOR PROJ
        (Course Id: 108406)
        Fall - Regular Academic Session - 2015
      • MATH 5307-001 MATHEMATICAL ANALYSIS I
        (Course Id: 108421)
        Fall - Regular Academic Session - 2015
      • MATH 5391-004 SPECIAL TOPICS IN MATH
        (Topic: Study of Plant Viruses | Course Id: 108486)
        Fall - Regular Academic Session - 2015
      • MATH 5392-001 SELECTED TOPICS IN MATH
        (Topic: Intro to Mathematics Research | Course Id: 108487)
        Summer - Eleven Week - 2015
      • MATH 4391-001 SPECIAL TOPICS IN MATH
        (Topic: Matrices & Algebraic Structure | Course Id: 108404)
        Summer - Eleven Week - 2015
      • MATH 5391-006 SPECIAL TOPICS IN MATH
        (Topic: Modeling of Plant Viruses I | Course Id: 108486)
        Summer - Eleven Week - 2015
      • MATH 5391-007 SPECIAL TOPICS IN MATH
        (Topic: Modeling of Plant Viruses II | Course Id: 108486)
        Summer - Eleven Week - 2015
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Course Id: 111030)
        Summer - Eleven Week - 2015
      • MATH 4335-001 ANALYSIS II
        (Course Id: 108399)
        Spring - Regular Academic Session - 2015
      • MATH 5351-001 APPLIED MATHEMATICS II
        (Course Id: 108465)
        Spring - Regular Academic Session - 2015
      • MATH 5350-001 APPLIED MATHEMATICS I
        (Course Id: 108464)
        Fall - Regular Academic Session - 2014
      • MATH 2326-001 CALCULUS III
        (Course Id: 108349)
        Fall - Regular Academic Session - 2014
      • MATH 2326-003 CALCULUS III
        (Course Id: 108349)
        Spring - Regular Academic Session - 2014
      • MATH 1322-002 PRECALCULUS I
        (Course Id: 108334)
        Spring - Regular Academic Session - 2014
      • MATH 5320-001 APPLIED DIFFERENTIAL EQUATIONS
        (Course Id: 108434)
        Fall - Regular Academic Session - 2013
      • MATH 4322-001 INTRO COMPLEX VARIABLES
        (Course Id: 108393)
        Fall - Regular Academic Session - 2013
      • MATH 7399-002 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Summer - Eleven Week - 2013
      • MATH 5698-001 THESIS
        (Course Id: 108496)
        Summer - Eleven Week - 2013
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373)
        Spring - Regular Academic Session - 2013
      • MATH 5351-001 APPLIED MATHEMATICS II
        (Course Id: 108465)
        Spring - Regular Academic Session - 2013
      • MATH 6999-003 DISSERTATION
        (Course Id: 110861)
        Spring - Regular Academic Session - 2013
      • MATH 5395-005 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2013
      • MATH 5350-001 APPLIED MATHEMATICS I
        (Course Id: 108464)
        Fall - Regular Academic Session - 2012
      • MATH 6699-006 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2012
      • MATH 5392-001 SELECTED TOPICS IN MATH
        (Topic: Math Biology II | Course Id: 108487)
        Fall - Regular Academic Session - 2012
      • MATH 6699-001 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2012
      • MATH 4335-001 ANALYSIS II
        (Course Id: 108399)
        Spring - Regular Academic Session - 2012
      • MATH 6699-001 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2012
      • MATH 5392-003 SELECTED TOPICS IN MATH
        (Topic: Stochastic Math Biology | Course Id: 108487)
        Spring - Regular Academic Session - 2012
      • MATH 5320-001 APPLIED DIFFERENTIAL EQUATIONS
        (Course Id: 108434)
        Fall - Regular Academic Session - 2011
      • MATH 6399-004 DISSERTATION
        (Course Id: 110859)
        Fall - Regular Academic Session - 2011
      • MATH 4322-001 INTRO COMPLEX VARIABLES
        (Course Id: 108393)
        Fall - Regular Academic Session - 2011
      • MATH 5698-001 THESIS
        (Course Id: 108496)
        Fall - Regular Academic Session - 2011
      • MATH 5395-001 SPECIAL PROJECT
        (Course Id: 108489)
        Summer - Eleven Week - 2011
      • MATH 5391-005 SPECIAL TOPICS IN MATH
        (Topic: Population Models I | Course Id: 108486)
        Summer - Eleven Week - 2011
      • MATH 5365-001 BIOMATHEMATICS
        (Course Id: 108479)
        Spring - Regular Academic Session - 2011
      • MATH 5308-001 MATHEMATICAL ANALYSIS II
        (Course Id: 108422)
        Spring - Regular Academic Session - 2011
      • MATH 5395-005 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2011
      • MATH 3315-001 MATHEMATICAL MODELS
        (Course Id: 108367)
        Fall - Regular Academic Session - 2010
      • MATH 5392-004 SELECTED TOPICS IN MATH
        (Topic: Applied Finite-Element Methods | Course Id: 108487)
        Fall - Regular Academic Session - 2010
      • MATH 5391-007 SPECIAL TOPICS IN MATH
        (Topic: Math Analysis II | Course Id: 108486)
        Fall - Regular Academic Session - 2010
      • MATH 5391-007 SPECIAL TOPICS IN MATH
        (Topic: Mathematical Analysis | Course Id: 108486)
        Summer - Eleven Week - 2010
      • MATH 5308-001 MATHEMATICAL ANALYSIS II
        (Course Id: 108422)
        Spring - Regular Academic Session - 2010
      • MATH 3315-001 MATHEMATICAL MODELS
        (Course Id: 108367)
        Spring - Regular Academic Session - 2010
      • MATH 5307-001 MATHEMATICAL ANALYSIS I
        (Course Id: 108421)
        Fall - Regular Academic Session - 2009
      • MATH 3315-001 MATHEMATICAL MODELS
        (Course Id: 108367)
        Fall - Regular Academic Session - 2009

Service to the University

    • May 2018 to  May 2019 Committee Member
      Awards Committee
    • May 2017 to  May 2018 Committee Member
      Hiring Committee
    • May 2016 to  May 2017 Committee Chair
      Hiring Committee
    • May 2015 to  May 2017 Committee Member
      Advisory Committee
    • May 2015 to  May 2016 Committee Member
      Hiring Committee
    • May 2012 to  May 2016 Committee Chair
      Faculty Tenure and Promotion Committee
    • May 2012 to  May 2016 Committee Member
      Faculty Tenure and Promotion Committee
    • Aug 2014 to  2015 Committee Member
      Parking Committee
    • May 2014 to  May 2015 Committee Chair
      Hiring Committee
    • May 2013 to  May 2015 Committee Member
      Awards Committee
    • Jan 2013 to  May 2013 Committee Member
      Advisory Committee

Service to the Profession

    • Past to  July 2018
      Reviewer, Journal Article
      Applied Mathematical Modelling (3 reviews)
      3 reviews
    • Past to  July 2018
      Reviewer, Journal Article
      Biosciences
    • Past to  July 2018
      Reviewer, Journal Article
      Journal of Computational and Applied Mathematics (3 reviews)
      3 reviews
    • Past to  July 2018
      Reviewer, Journal Article
      Journal of the Operational Research Society - Springer
    • Past to  July 2018
      Reviewer, Journal Article
      Physica A (2 reviews)
      2 reviews
    • Past to  May 2018
      Reviewer, Journal Article
      Applied Mathematics and Computation
    • Past to  May 2018
      Reviewer, Journal Article
      Culture, Medicine, and Psychiatry
    • Past to  May 2018
      Reviewer, Book
      Nova Publishers
    • Past to  Feb 2018
      Reviewer, Journal Article
      Journal of Applied Mathematics and Computing
    • Past to  Dec 2017
      Reviewer, Journal Article
      BioSystems
    • Past to  Dec 2017
      Reviewer, Journal Article
      International Journal of Computer Mathematics
    • Past to  Oct 2017
      Reviewer, Journal Article
      European Journal of Applied Mathematics
    • Past to  July 2017
      Reviewer, Journal Article
      Applied Mathematics and Computation (3 reviews)
      3 reviews
    • Past to  July 2017
      Reviewer, Journal Article
      Math Reviews (6 reviews)
      6 reviews
    • Past to  July 2017
      Reviewer, Journal Article
      Quality & Quantity
    • Past to  Apr 2017
      Reviewer, Journal Article
      Journal of Applied Mathematics and Computing
    • Past to  Jan 2017
      Reviewer, Journal Article
      Computers and Mathematics with Applications (2 reviews)
      2 reviews
    • Past to  Nov 2016
      Reviewer, Journal Article
      Journal of Computational and Applied Mathematics (2 reviews)
      2 reviews
    • Past to  Oct 2016
      Reviewer, Journal Article
      BioMath
    • Past to  Sept 2016
      Reviewer, Journal Article
      Epidemiology and Infection