Lec 19: Biological growth: Mathematical modeling and FEM implementation скачать в хорошем качестве

Lec 19: Biological growth: Mathematical modeling and FEM implementation

The video was recorded as a part of the "Mechanics Lecture Series" of "The Mechanics Discussions" forum. This recording is of Lecture 19 on "Biological growth: Mathematical modeling and FEM implementation" and presented by Dr. Meisam Soleimani (Leibniz University Hannover, Germany). Website of Dr.Meisam Soleimani: https://www.ikm.uni-hannover.de/de/so... Abstract of the lecture Growth phenomena usually occur in living tissues under different mechanobiological stimuli. In this lecture, a mathematical model for the growth driven by nutrient diffusion is extensively presented in a “continuum mechanics” framework. Besides, the practical considerations for FEM implementation in the context of a multiphysics ANSYS User Element are discussed. Several numerical examples are presented to demonstrate the applicability and versatility of the proposed model for reproducing biofilm growth in confined geometries; overgrowth of the arteries walls as a result of inflammation; tumor growth within the brain in the avascular stage; and bone ingrowth in the vicinity of a rough implant surface. It will be shown that all these processes share the same spirit from a “modeling” point of view.