180 citations · 1.3k across the 65 of their papers we have counts for
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Self-similar dynamics of morphogen gradients
Cyrill B. Muratov, Peter V. Gordon, Stanislav Y. Shvartsman
We discovered a class of self-similar solutions in nonlinear models describing the formation of morphogen gradients, the concentration fields of molecules acting as spatial regulat…
Non-meanfield deterministic limits in chemical reaction kinetics far from equilibrium
R. E. Lee DeVille, Cyrill B. Muratov, Eric Vanden-Eijnden
A general mechanism is proposed by which small intrinsic fluctuations in a system far from equilibrium can result in nearly deterministic dynamical behaviors which are markedly dis…
Noise-driven transition to quasi-deterministic limit cycle dynamics in excitable systems
Cyrill B. Muratov, Eric Vanden-Eijnden, Weinan E
The effect of small-amplitude noise on excitable systems with large time-scale separation is analyzed. It is found that small random perturbations of the fast excitatory variable r…