6 papers
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…
Turing Patterning in Stratified Domains
Andrew L. Krause, Václav Klika, Jacob Halatek +4
Reaction-diffusion processes across layered media arise in several scientific domains such as pattern-forming E. coli on agar substrates, epidermal-mesenchymal coupling in developm…
Wavelength selection by interrupted coarsening in reaction-diffusion systems
Fridtjof Brauns, Henrik Weyer, Jacob Halatek +2
Wavelength selection in reaction--diffusion systems can be understood as a coarsening process that is interrupted by counteracting processes at certain wavelengths. We first show t…
Phase-space geometry of mass-conserving reaction-diffusion dynamics
Fridtjof Brauns, Jacob Halatek, Erwin Frey
Experimental studies of protein-pattern formation have stimulated new interest in the dynamics of reaction-diffusion systems. However, a comprehensive theoretical understanding of…
Self-organization principles of intracellular pattern formation
Jacob Halatek, Fridtjof Brauns, Erwin Frey
Dynamic patterning of specific proteins is essential for the spatiotemporal regulation of many important intracellular processes in procaryotes, eucaryotes, and multicellular organ…
Protein Pattern Formation
Erwin Frey, Jacob Halatek, Simon Kretschmer +1
Protein pattern formation is essential for the spatial organization of many intracellular processes like cell division, flagellum positioning, and chemotaxis. A prominent example o…