4 papers · 1 filter
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…