Three-dimensional Homogenized Constrained Mixture Model of Anisotropic Vascular Growth and Remodeling
Fabian Brau · 2019
This thesis deals with the mathematical modeling of growth and remodeling processes in soft biological tissues. In this area, it extends the so-called homogenized constrained mixture models for the first time to three dimensions. In addition to that, a new theory is introduced to determine from fundamental micromechanical considerations the anisotropy of the changes of the tissue geometry resulting from volumetric growth in soft biological tissues.