Campus Address: Bishop Hall 329
In June 2005, Dr. Bayram received her Ph.D. in Mathematics from the State University of New York at Buffalo. Dr. Bayram’s main research area focuses on the mathematical modeling of renal hemodynamics; in particular, Dr. Bayram models the kidney’s principal functional unit, the nephron and studies the tubuloglomerular feedback system (TGF), the principal mechanism regulating blood flow in the kidney. She employs delay partial differential equations as the mathematical tools and Hopf bifurcation analysis together with numerical computations to analyze the physiological phenomenon. In addition, Dr. Bayram have partnered in several interdisciplinary endeavors. She has worked on projects that involve the modeling of plant ecology, modeling of population dynamics, modeling the spread of an infectious disease, and modeling of risk management in a banking environment.
Dr. Bayram’s recent and secondary major research endeavors is focused in the area of fluid mechanics. She has been studying the evolution of nonlinear waves involving nonlinear partial differential equations.