Berlin 2008 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 1: Cell Migration and Tissue Dynamics
BP 1.8: Vortrag
Montag, 25. Februar 2008, 12:00–12:15, C 243
Phase transitions in tissue growth — •Reza Farhadifar1, Jens-Christian Röper2, Benoit Aigouy2, Suzanne Eaton2, and Frank Jülicher1 — 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden — 2Max Planck Institute of Molecular Cell Biology and Genetics, Pfotenhauer Straße 108, 01307 Dresden
We present a theoretical study of growing epithelia using a vertex model. The network of adherence junctions is represented by a network of polygons. The mechanics of cells and their adhesive interactions are described by area elasticity, perimeter contractility and line tension. The ground state diagram of the model reveals a solid-liquid transition. Simulating tissue growth by repeated division of randomly selected cells we generate epithelial tissue morphologies. These tissue morphologies exhibit phase transitions between solid and soft network as a function of parameter values. We study the behavior of the order parameter of the transition which is the shear modulus of the network. The solid network first becomes semi-soft and subsequently it becomes fluid. In the fluid phase, T1 transitions can occur without work which permits the network to shear at vanishing shear modulus.