Modeling Growth and Remodeling in Soft Biological Tissues

The mechanical behavior of soft biological tissues has received a considerable amount of attention in the last few years. In growth problems such as morphogenesis, wound healing, tumor growth, and so on, intermediate/final shapes and patterns are the results of the interaction relating the biochemical/cellular processes and the integrated organ. I will talk about a continuum modeling approach (first appeared in Rodriguez et al., 1994) which captures the finite volumetric growth as a pre-stretch of the reference state. I will give an example in modeling wound healing, where the total deformation corresponding to the growth is solved in simple geometry followed by the linear stability analysis which predict the emergence of shape remodeling. At last I will talk about the model reformulation and the current application in morphogenesis.

Event Topic

Stochastic & Multiscale Modeling and Computation