Cell-based, hybrid and continuum models of tissue dynamics: when to<br/><br/>use which where — ?

Monday, September 13, 2010 - 10:45am - 11:30am
Lind 305
Hans Othmer (University of Minnesota, Twin Cities)
New techniques in cell and molecular biology have produced huge advances in our
understanding of signal transduction and cellular response in many systems, and
this has led to better cell-level models for problems ranging from biofilm
formation to embryonic development. However, many problems involve very large
numbers of cells, and detailed cell-based descriptions are computationally
prohibitive at present. Thus rational techniques for incorporating cell-level
knowledge into macroscopic equations are needed for these problems. In this talk
we discuss several examples that arise in the context of cell motility and
pattern formation. We will discuss systems in which the micro-to-macro
transition can be made more or less completely, and also describe other systems
that will require new insights and techniques.
MSC Code: