A 2D free boundary cell motility model with nonlinear diffusion yields an explicit curvature formula K2 that is claimed to determine whether the pitchfork bifurcation to traveling waves is direct or inverse.
An adhesion-dependent switch between mechanisms that determine motile cell shape
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Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion
A 2D free boundary cell motility model with nonlinear diffusion yields an explicit curvature formula K2 that is claimed to determine whether the pitchfork bifurcation to traveling waves is direct or inverse.