Zusammenfassung für den Vortrag am 19.10.2005 (16:15 Uhr)

Gabriela Litcanu (University of Warsaw)

Biological pattern formation in diffusive models

We consider the travelling patterns which appear in different biological processes (for example: during cells aggregation, in tumour growth, in a fibrillating heart). We focus on a mathematical model for the propagation of the signal during the aggregation of some microorganisms. We show the existence of travelling pulse solutions using singular perturbation methods. A biological interpretation of the results will be given.