ACDC Seminar by Frits Veerman on the 1st of October

On the 1st of October at 16:00, Frits Veerman will give an Amsterdam Dynamics Seminar. We will go for drinks at Bar Boele after the talk.

The talk will take place in the Maryam seminar room (9A-46).

Title:  Mechanochemical pattern formation

Abstract: Mechanochemical interaction, defined as the active interplay between a dynamical surface and a morphogen diffusing on that surface, can lead to spontaneous pattern formation. As the substrate surface plays the role of the long-range inhibitor, mechanochemical interaction can serve as an alternative to the dominant Turing paradigm when the identification of an inhibitor is problematic. I will present a paradigmatic model class for mechanochemical interaction, and will show the emergence of far-from-equilibrium patterns for a range of parameter values when specific interaction functions are chosen. These analytical results are obtained using Geometric Singular Perturbation Theory, a technique that uses time scale separation in higher-dimensional dynamical systems to reduce the system complexity, and thereby allowing us to constructively prove the existence of specific orbit types (homoclinic, heteroclinic, periodic). In addition, I will discuss recent developments in a mechanochemical model for septin binding on GUVs (giant unilamellar vesicles), where the local septin orientation can determine and predict experimentally observed surface patterns.

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