Dr. Tor Kwembe
- Email: tor.a.kwembejsums.edu
- Website
- Jackson State University
- Status: Faculty
- Department: Math, Stat,
- Will Mentor: Doctoral students, Pre-doctoral students
Areas of Expertise
Applied Mathematics,
Research Interests
mathematical modeling of physiology and disorders
Bio
I am a full Professor and Chair of the Department of Mathematics and Statistical Sciences at Jackson State University (JSU). I have taught many advanced and undergraduate level mathematics and computer programming courses and published research papers in pure and applied mathematics journals. I have served as an academic and thesis advisor; and designed, developed, and managed curriculum support programs, and research efforts to enhance mathematics, statistics and mathematics education programs at JSU, the University of Illinois at Chicago (UIC), and Chicago State University (CSU). I received the Ph.D. degree in applied Mathematics from the University of Illinois at Chicago under the direction of Professor Calixto P. Calderon with whom I co-authored several publications in biomathematics.
My current research interest is in the areas of mathematical modeling of physiology and disorders and hemodynamic, the analysis of nonlinear diffusion equations with generalized Wentzell boundary conditions and the applications of mathematics to quantitative exploration of data and climate modeling. Problems with the Wentzell boundary conditions are particularly interesting from the mathematical analysis point of view in the sense that the smoothness of the boundary is up to the order of the governing equations. It originated from stochastic questions as derived by Wentzell but their applications to physical phenomena in general is unknown in the sense that all known physical problems admit boundary smoothness up order one less than the order of the governing equation. So the investigation into generalized Wentzell boundary conditions provides a rich resource of undergraduate projects of varying pure analytic and numerical or computational approaches, particularly to climate modeling. I will be glad to assist any undergraduate or graduate student that has interest in these directions. On the mathematical modeling of physiology and disorders, I am particularly interested in the accurate modeling of questions arising from physiology and physiological disorders such as aneurysms and tumors and in the derivation of mathematical models that have been known to be purely empirical and also in the accurate fitting of data by mathematical models.
