Mathematical Colloquium

Tuesday, Nov 4, 2014, 06:00 pm

Mathematical Modeling of Structure Formation in Cellular Systems due to Cell Motion

Angela Stevens (University of Münster)

Abstract:
Chemotaxis - directed cell motion due to attractive, mostly diffusible, signals - is a common mechanism for pattern and structure formation in developmental cell systems. Related mathematical models are partial differential equations of crossdiffusion type.

Signals for cell communication can also be more localized (e.g. within the so-called extra cellular matrix). In this case mathematical models of partial differential equations coupled with ordinary differential equations result.

Pattern formation of both kinds of models differ and are discussed. Also mathematically different techniques are required to analyze these models w.r.t. their pattern forming behavior. Further, there are connections with self-attracting reinforced random walks, which will also be discussed.

Time: 06:00 pm

Location: Hörsaal III, Hauptgebäude, RWTH Aachen, Templergraben 55, 52062 Aachen