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Self-organisation of Protein Patterns
Erwin Frey, Fridtjof Brauns
These notes are an account of a series of lectures given at the Les Houches Summer School "Active Matter and Non-equilibrium Statistical Physics" during August and September 2018.
Diffusive coupling of two well-mixed compartments elucidates elementary principles of protein-based pattern formation
Fridtjof Brauns, Jacob Halatek, Erwin Frey
Spatial organization of proteins in cells is important for many biological functions. In general, the nonlinear, spatially coupled models for protein-pattern formation are only acc…
Topological phase transition in coupled rock-paper-scissor cycles
Johannes Knebel, Philipp M. Geiger, Erwin Frey
A hallmark of topological phases is the occurrence of topologically protected modes at the system`s boundary. Here we find topological phases in the antisymmetric Lotka-Volterra eq…
Microphase separation in active filament systems is maintained by cyclic dynamics of cluster size and order
Lorenz Huber, Timo Krüger, Erwin Frey
The onset of polar flocking in active matter is discontinuous, akin to gas-liquid phase transitions, except that the steady state exhibits microphase separation into polar clusters…
Pattern-induced local symmetry breaking in active matter systems
Jonas Denk, Erwin Frey
The emergence of macroscopic order and patterns is a central paradigm in systems of (self-)propelled agents, and a key component in the structuring of many biological systems.The r…
Cytosolic flow induced symmetry breaking in a conceptual polarity model
Manon C Wigbers, Fridtjof Brauns, Ching Yee Leung +1
Important cellular processes, such as cell motility and cell division, are coordinated by cell polarity, which is determined by the non-uniform distribution of certain proteins. Su…