Dresden 2017 – wissenschaftliches Programm
BP 14: Physics of Physarum polycephalum and Other Slime Molds - Joint Focus Session (BP/DY) organized by Hans-Günther Döbereiner
BP 14.9: Vortrag
Dienstag, 21. März 2017, 12:20–12:45, SCH A251
Mechanochemical pattern formation in simple models of active viscoelastic fluids and solids with application to Physarum polycephalum — Sergio Alonso1, Markus Radszuweit2, Harald Engel3, and •Markus Bär4 — 1Department of Physics, UPC Barcelona, Spain — 2Weierstrass Institute Berlin, Germany — 3Theoretische Physik, Technische Universitaet Berlin, Germany — 4Physikalisch-Technische Bundesanstalt, Abbestrasse 2-12, 10587 Berlin, Germany
A simple description for active stress generation is coupled to different model of passive viscoelasticity. Specifically, two models for viscoelastic fluids (Maxwell and Jeffrey model) and two models for viscoelastic solids (Kelvin-Voigt and Standard model) are investigated. Our focus is on the onset of mechano-chemical waves and patterns. We carry out linear stability analysis and numerical simulations in one spatial dimension. The primary instability is stationary for all active fluids considered, whereas all active solids exhibit an oscillatory instability. All instabilities found are of long-wavelength nature. The special case of a poroelastic two-phase model, where the active solid represents the cytoskeleton and is described by a Kelvin-Voigt model is coupled to a viscous fluid (cytosol) in which the free calcium concentrations obeys a potentially oscillatory reaction-diffusion dynamics. M. Radszuweit, H. Engel, M. Bär, PLoS One 2014; S. Alonso et al. Physica D 2016.