IMSc Webinar

Role of cross section geometry in intimal growth induced by hemodynamical shear stresses

Avishek Mukherjee

Department of Mathematical Sciences, University of Delaware, Newark DE, USA

Google Meet Link
meet.google.com/zzf-xkcr-zxa

Cardiovascular diseases are one of the prime causes of mortality in modern society. Factors leading up to acute myocardial infarctions, for example, atherosclerosis and intimal growth, have been the subject of several investigations over the last few decades. In this talk, we present the role of arterial cross section geometries in controlling the rate of growth of the intima induced by a hemodynamical shear stress due to a Poiseuille blood flow through the lumen. The blood flow is highly idealized and growth of the intima is induced by the release of PDGF (Platelet-Derived Growth Factor) by the endothelial cells in a shear-dependent manner. The collagen fiber orientations are computed with the help of numerical conformal maps. Finally, strain-energy functionals are minimized to get the optimal deformations due to growth. We will see how geometry of cross sections affect the rate and the pattern of intimal growth.