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math.AP2011★ 1 cited
Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders
P. V. Gordon, C. B. Muratov, M. Novaga
We study multiplicity of the supercritical traveling front solutions for scalar reaction-diffusion equations in infinite cylinders which invade a linearly unstable equilibrium. The…
q-bio.QM2011★ 11 cited
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…