Regensburg 2022 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 39: Pattern Formation and Reaction-Diffusion Systems
DY 39.7: Vortrag
Donnerstag, 8. September 2022, 11:45–12:00, H19
Coupling-Mediated Protein Waves in Mass-Conserved Pattern Forming Systems — •Benjamin Winkler1, Sergio Alonso Muñoz2, and Markus Bär1,3 — 1Physikalisch-Technische Bundesanstalt — 2Universitat Politècnica de Catalunya — 3TU Berlin
The formation of protein patterns inside biological cells is of crucial importance for their spatial organization, growth and division. In many cases these dynamics can be described by coupled, mass-conserving reaction-diffusion equations [Brauns et al., PRX, 2020]. Motivated by the question how the generation of cell polarity is influenced by membrane heterogeneity, we study the behavior of the coupled dynamics of two well-known, mass-conserved systems. System A is therein given by a simplified model [Mori et al., Biophys.J., 2008] for the emergence of cell polarity with a single pair of activated-inactivated proteins M and B. The inactive, fast-diffusing species (B) in the bulk of the cell becomes activated (M) when bound to the cell membrane. When endowed with a positive feedback on the membrane-mediated activation, the system exhibits inherent polarizability. System B is described by the Cahn-Hilliard equation, two membrane species demixing into a pattern of comparatively small, static droplets. We then consider a difference in interaction affinity for M with respect to the two phases of the cell membrane and an additional contribution in the chemical potential of the membrane, depending on the presence of M. In the so coupled system, the emergence of traveling waves can be observed above a finite threshold of coupling strength.