We have postdoctoral positions and fully funded PhD student positions available!
Welcome to our group webpage! We are a joint research group between the Max Planck Institute for the Physics of Complex Systems (MPI-PKS) and the Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG), based at the Center for Systems Biology Dresden (CSBD), established in 2021.
We are theorists, but we closely collaborate with experimentalists, at MPI-CBG and beyond, on problems in theoretical biophysics, applied mathematics, and soft matter physics. Read more about our research.
Looking for a PhD or postdoc position? Read more about how to join us.
Haas & Goldstein, Phys. Rev. Lett. 126, 238101 (2021)
Turing instabilities of reaction-diffusion systems can only arise if the diffusivities of the chemical species are sufficiently different. This threshold is unphysical in most systems with N=2 diffusing species, forcing experimental realizations of the instability to rely on fluctuations or additional nondiffusing species. Here, we ask whether this diffusive threshold lowers for N>2 to allow “true” Turing instabilities. Inspired by May’s analysis of the stability of random ecological communities, we analyze the probability distribution of the diffusive threshold in reaction-diffusion systems defined by random matrices describing linearized dynamics near a homogeneous fixed point. In the numerically tractable cases N<7, we find that the diffusive threshold becomes more likely to be smaller and physical as N increases, and that most of these many-species instabilities cannot be described by reduced models with fewer diffusing species.