Department/Unit
Mathematics
Research Interests
The focus of Dr. Cogan’s research is on mathematical biology. In particular, he is interested in fluid/solid interaction, chemical transport, bacterial physiology. Dr. Cogan has spent the past several years researching biological processes where each of the topics above plays a fundamental role. As in many areas of applied mathematics, the mathematical methods that he uses are very diverse. Deriving and analysing mathematical models requires familiarity with the biology of the problem, but also with multiphase flow, non-Newtonian fluid dynamics and nonlinear dynamics. He also employs computational methods, perturbation analysis, sensitivity/UQ and nonlinear PDE theory to answer specific, biologically motivated problems.