Pattern formation in the Mechanochemical model

Daphne Nesenberend (Mathematical Institute of Leiden University) #

Note that this seminar will take place in room 2/104 in Mathematikon! Seminar will start at 11:15!!! #

In biology, self-organization and pattern formation happen on many different scales. For example, in embryonic development, a homogeneous clump of cells evolves into a complex organism. We study so-called mechanochemical models. These models describe the deformation of a surface (for example a cell- or a tissue surface) caused by a diffusing chemical that is locally inducing curvature. This model captures a possible mechanism behind different shapes found in nature. We use tools such as numerical simulation and Geometric Singular Perturbation Theory to analyze and understand what type of patterns can occur.