175 citations · 608 across the 24 of their papers we have counts for
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Nonreciprocal pattern formation of conserved fields
Fridtjof Brauns, M. Cristina Marchetti
In recent years, nonreciprocally coupled systems have received growing attention. Previous work has shown that the interplay of nonreciprocal coupling and Goldstone modes can drive…
Coarsening and wavelength selection far from equilibrium: a unifying framework based on singular perturbation theory
Henrik Weyer, Fridtjof Brauns, Erwin Frey
Intracellular protein patterns are described by (nearly) mass-conserving reaction-diffusion systems. While these patterns initially form out of a homogeneous steady state due to th…
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…
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…