Modeling of Cell Tissue

Many approaches to the modeling of cellular tissue exist. All of them
describe single cells using different representations and different
levels of detail. Among the most widely used are Cellular Potts Models
(CPM), Agent Based Models (ABM), and Finite Elements discretizations
(FEM). You will be comparing a number of modeling approaches regarding
their abilities to represent mechanical properties of single cells and
tissue, the proliferation and directed growth of cells, and, of
course, the computational costs of the models. We are specifically
interested in models for blood vessel tissue that consists of
different cell types, eg endothelial and smooth muscle cells, all with
their own growth dynamics and production of, and response to,
biochemical factors. Some implementations of models already exist in
our group, so you can have a quick start. Existing software like Ansys
(depending on the availability of the licensing) or open source
alternatives like FEMBio could also be used.
Another part of the project could be to consider the coupling of two
tissue models acting on different spatiotemporal scales and the
possible integration of the developed model(s) into an existing
multiscale model for In-Stent Restenosis where the tissue model
interacts with blood flow and drugs eluted from a stent.