Research Interests and Publications

My research interests are in numerical analysis and ordinary/partial differential equations as they pertain to problems in population dynamics and cellular biology. My research has included existence-uniqueness theory, finite difference schemes, monotone approximations, and computational mathematics.

Publications

· Parameter Estimation for a Mathematical Model of Erythropoiesis (with Azmy S. Ackleh), (submitted)

· An Explicit Finite Difference Method for a Structured Erythropioesis Model (with Azmy S. Ackleh and Keng Deng), (submitted)

· A Monotone Approximation for a Hierarchical Size-Structured Model with a Generalized Environment (with A.S. Ackleh and K. Deng), Journal of Biological Dynamics, 1, (2007), 305-319.

· Ecosystems Modeling of College Drinking: Development of a Deterministic Compartmental Model (with R. Scribner, A.S. Ackleh, B. Fitzpatrick, G. Jacquez, R. Rommel, and N. Simonsen, (submitted)

· A Structured Erythropoiesis Model with Nonlinear Cell Maturation Velocity and Hormone decay Rate (with A.S. Ackleh, K. Deng, and K. Ito), Mathematical Biosciences 204 (2006), 21-48

· Congruences Modulo a Product of Primes, Pi Mu Epsilon, Volume 11, Number 9, 499-500, (2003)

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