Roger Lui. Education Ph.D. Mathematics University of Minnesota 1981 B.S. Mathematics University of Minnesota 1975

Transcription

1 Roger Lui School Address Department of Mathematical Sciences Worcester Polytechnic Institute 100 Institute Road, Worcester, MA Contact Information (office) rlui Education Ph.D. Mathematics University of Minnesota 1981 B.S. Mathematics University of Minnesota 1975 Employment Professor, Worcester Polytechnic Institute 1993-present Visiting Professor, City University of Hong Kong Fall, 2014 Long Term Visitor, Institute for Mathematics and its Applications Visiting Scholar, Carnegie Mellon University Spring, 2000 Associate Professor, Worcester Polytechnic Institute Visiting Associate Professor, University of Utah Assistant Professor, Worcester Polytechnic Institute Post-Doctoral Lecturer, San Diego State University Research Interest Mathematical Biology Professional Membership Society for Mathematical Biology, European Society for Mathematical and Theoretical Biology Publications 1. N. Marculis, R. Lui and M. Lewis (2017) Neutral genetic patterns for expanding populations with nonoverlapping generations. Bulletin Math. Biology (accepted). 2. Kwok-wai Chung and R. Lui (2016) Dynamics of two-strain influenza model with cross-immunity and no quarantine class, Journal of Mathematical Biology, 73: N. Marculis, and R. Lui (2015). Modeling the biological invasion of Carcinus maenas (The European Green Crab), Journal of Biological Dynamics, 10: Daihai He, R. Lui, Lin Wang, C. K. Tse, Lin Yang and L. Stone (2015), Global Spatio-temporal Patterns of Influenza in the Post-pandemic Era. Scientific Reports, June L. Su and R. Lui (2012). Advance of advantageous genes in a multiple-allele population genetics model. J. of Theoretical Biology 315: L. Su and R. Lui (2012). Patterns for four-allele population genetics model. Theoretical Population Biology 81: L. Su, C. Sesanker, and R. Lui (2011). Coexisting stable equilibria for multiple-allele population genetics model, arxvi: v1 [q-bio.pe] (not refereed) 8. M. Iida, R. Lui, and H. Ninomiya (2011). Stacked fronts for cooperative systems with equal diffusion coefficients. SIAM Math Analysis 43: S. Zheltukhin and R. Lui (2011). One-dimensional viscoelastic cell motility models, Math. Biosciences 229:30-40.

2 p R. Lui and Z. Wang (2010). Traveling wave solutions from microscopic to macroscopic chemotaxis models, J. Math. Biology 61: C. H. Lee and R. Lui (2010). A reduction method for multiple time scale stochastic reaction networks with non-unique equilibrium probability, J. Math. Chem. 47: C.H. Lee and R. Lui (2009) A review of reduction methods for multiple time scale stochastic reaction networks, Mathematical Chemistry. Nova Science Publishers. (not refereed) 13. C. H. Lee and R. Lui (2009). A reduction method for multiple time scale stochastic reaction network. J. Math. Chem. 46: Y. Choi and R. Lui (2009). Existence of traveling domain solutions for a two-dimensional moving boundary problem. Transactions of American Math. Society 361: J. Satulovsky. R. Lui, and Yu-li Wang (2008). Exploring the control circuit of cell migration by mathematical modeling. Biophysical J. 94: R. Vuta, R. Lui, and G. Tryggvason (2007). Numerical computations of a moving boundary problem in cell motility, Scientific Journals International. J. Math. Stat. Allied Fields, Issue 1, Vol D. Volkov and R. Lui (2007). Spreading speed and traveling wave solutions of a partially sedentary population. IMA J. Applied Math. 72: Y. Choi and R. Lui (2007). Real eigenvalues of a linearized operator arising from a moving boundary problem. Proceedings of American Math. Society 135: M. Pyzocha, R. W. Thompson, and R. Lui (2006). Vapor Leak Detection for an Underground Storage Tank System, J. of Environmental Engineering 132: R. Lui (2005) Moving boundary problems arising in a cell motility model. Proceedings of Ryukoku Workshop (not refereed). 21. Y. Choi, P. Groulx and R. Lui (2005). Moving boundary problems for a one-dimensional crawling nematode sperm cell model. Nonlinear Analysis 6: Y. Choi and R. Lui (2004). Existence of traveling wave solutions for a one-dimensional cell motility model. Taiwanese J. of Math 8: Y. Choi, J. Lee and R. Lui (2004). Traveling wave solutions for a one-dimensional crawling nematode sperm cell model. J. Math. Biology 49: Y. Choi, R. Lui and Y. Yamada (2004). Existence of global solutions for the Shigesada-Kawasaki- Teramoto model with strongly-coupled cross diffusion. Discrete and Continuous Dynamical Systems 10: Y. Choi, R. Lui and Y. Yamada (2003). Existence of global solutions for the Shigesada-Kawasaki- Teramoto model with weak cross-diffusion. Discrete and Continuous Dynamical Systems 9: Y. Choi, Z. Huan and R. Lui (2003). Global existence of solutions of a strongly-coupled quasilinear parabolic system with applications to electrochemistry. J. Differential Equations 194: R. Lui and P. Schultz (2002). The one-dimensional reduced semiconductor equations for an asymmetric two-piece doping function. Nonlinearity 15: C. Larsen and R. Lui (2002). Uniqueness of steady-states and asymptotic behavior of space charge in liquid junction model with insulation. Nonlinear Analysis Series B 3: R. Lui (1999). Steady-state solutions of electro-diffusion of ions models. Dynamics of Continuous, Discrete and Impulsive Systems 6:271.

3 p B. Liu and R. Lui (1997). Electrokinetic remediation of contaminated soil, Proceedings of Second World Congress of Nonlinear Analysts, Nonlinear Analysis 30: Y. Choi and R. Lui (1997). An Integral-differential equation arising from an electrochemistry model. Quarterly J. Applied Math. 55: Y. Choi and R. Lui (1996). A Mathematical Model for the Electrokinetic remediation of contaminated soil. J. Hazardous Materials 44: Y. Choi and R. Lui (1995). Multi-dimensional electrochemistry model, Arch. Rational Mech. Anal. 130: Y. Choi and R. Lui (1995). Global stability of solutions of an electrochemistry model with multiple species. J. Differential Equations 116: J. Dockery and R. Lui (1994). Existence and stability of traveling wave solutions for a population genetic model via singular perturbations. SIAM J. Applied Math. 54: Y. Choi, R. Lui and X. Yu (1994). Electrolysis and Electrophoresis. IMA J. Applied Math. 52: Y. Choi and R. Lui (1993). Long-time behavior of solutions of an electrophoretic model with a single reaction. IMA J. Applied Math. 50: Y. Choi and R. Lui (1994). Uniqueness of stead-state solutions for an electro chemistry model with multiple species. J. Differential Equations 108: Y. Choi and R. Lui (1993). Analysis of an electrochemistry model with zero-flux boundary conditions. Applicable Analysis 49: R. Lui and R. W. Thompson (1992). Analysis of a continuous crystallizer with agglomeration. Chemical Engineering Science 47: R. Lui and J.F. Selgrade (1993). Density-dependent selection-migration model with non-monotone fitness functions. J. Math. Biology 31: J. Dockery and R. Lui (1992). Existence of traveling wave solutions for a bistable evolutionary ecology model. SIAM J. Math. Analysis 23: R. Lui (1993). Stability of traveling wave solutions for a bistable evolutionary ecology model. Nonlinear Analysis 20: R. Lui (1991). Positive solutions of an elliptic system arising from a model in evolutionary ecology. J. Math. Biology 29: R. Lui (1991). Existence and stability of traveling wave solutions for a simplified bistable evolutionary ecology model. Nonlinear Analysis 16: R. Lui (1990). Existence of traveling wave solutions for an evolutionary ecology model. Proceedings Royal Society Edinburgh Series A 115: R. Lui (1989). Asymptotic behavior of solutions to an evolutionary ecology model with diffusion. SIAM J. Applied Math. 49: R. Lui (1989). Biological growth and spread modeled by systems of recursions II. biological theory. Math. Biosciences 93: R. Lui (1989). Biological growth and spread modeled by systems of recursions I. mathematical theory, II. biological theory, Math. Biosciences 93: R. Lui (1988). Convergence to constant equilibrium states for a density-dependent selection model with diffusion. J. Math. Biology 26:

4 p C.B.Bell, R. Ahmad, C.J. Park (1987). Signal detection for Pareto Renewal Processes. Pakistan J. Statistic 3: R. Lui and C. Keller (1987). The effect of logistic growth on interacting populations that disperse to avoid crowding. Communications Partial Differential Equations 12: C. Keller and R. Lui (1987). Existence of steady-state solution of predator-prey equations in a heterogeneous environment. J. Math. Analysis Applications 123: R. Lui (1986). A nonlinear integral operator arising from a model in population genetics IV. clines. SIAM J. Math. Analysis 17: R. Lui (1985). A nonlinear integral operator arising from a model in population genetics III. heterozygote inferior case. SIAM J. Math. Analysis 16: P. Creegan and R. Lui (1984). Some remarks about the wave speed and traveling wave solution of a nonlinear integral operator. J. Math. Biology 20: R. Lui (1983). Existence and stability of traveling wave solutions of a nonlinear integral operator. J. Math. Biology 16: R. Lui (1982). A nonlinear integral operator arising from a model in population genetics II. initial data with compact support. SIAM J. Math. Analysis 13: R. Lui (1982). A nonlinear integral operator arising from a model in population genetics I. monotone initial data. SIAM J. Math. Analysis 13: Theses Advised Masters Theses 1. An Integral Equation Method for Solving Second-Order Viscoelastic Cell Motility Models (2014). 2. Numerical Simulation of Moving Boundary Problem (2007). 3. A Numerical Approach to Calculating Population Spreading Speed (2007). 4. Nonlinear Optimization of a Stochastic Function in a Cell Migration Model (2006). 5. Option Price: Theory and an Application (1994). 6. Computations of the Steady-State Solutions of an Electrochemistry Model (1992). Undergraduate Senior Theses 1. Biological Models with Time Delay (2016) 2. Mathematical Modeling of Influenza Viruses (2014). 3. Undergraduate Mathematical Modeling Textbook for Engineers (Fall, 2012). 4. Mathematical Models for the Human Immunodeficiency Virus and the Epstein-Barr Virus. ( ). 5. Three Alleles Selection Model in Population Genetics ( ). (Tie for the 2011 WPI Math Dept. Provost Best MQP Award.) 6. One-dimensional Viscoelastic Cell Motility Model ( ). (Tie for the 2007 WPI Math Dept. Provost Best MQP Award.) 7. Computer Modeling of Cell Motility ( ).

5 p Free Boundary Problems Arising from Cell Motility Models ( ). (One of the students won the 2004 Sigma Xi Best MQP Award.) 9. Vapor Leak Detection Inside an Underground Storage Tank System ( ). (WPI Math Dept.Provost Best MQP Award and the Center for Industrial Mathematics and Statistics Award). 10. Pricing Exotic Options (1999). 11. Deterministic Models for the AIDS Epidemic (1992). 12. Hopf Bifurcation Theorem in R 2 with Proof and Examples (1988). Other Activities 1. Community Relations Committee, Institute for Mathematics and Its Applications, University of Minnesota (Chair 2012 to May, 2015). 2. Developed and taught a course in Computational and Systems Biology, Spring Organized two conferences on Cell Motility and Cancer Modeling in National Tsing Hua University, Taiwan (January, 2004).