My current research interests lie primarily in three areas: the mechanics of materials, mathematical physiology and mathematical ecology. In the mechanics of materials, I have worked on models for contact and fracture phenomena for materials exhibiting memory effects, such as polymeric plastics and rubbery composite systems. At the interface between solid mechanics and mathematical physiology, I have recently been working on modeling the mechanical response of soft tissue, such as the arterial wall and the myocardium, and related mathematical issues in nonlinear elasticity. Also, in the area of mathematical physiology, I have recently been developing models for the genesis, progression and treatment of atherosclerosis. In the area of mathematical ecology, I am working on new approaches to modeling size structured populations. These ideas also are relevant to modeling the growth of cell populations in which one makes a distinction between growth via hypertrophy (size increase of individual cells) and hyperplasia (cell proliferation). For a list of some of my recent papers as well as information about various courses I have taught recently, please visit my
home page.