Principles that govern competition or co-existence in Rho-GTPase driven polarization
Fig 8
Competition in 2D can be driven by differences in peak curvature.
A) In 2D, saturated mesas compete faster than they would in 1D, but slower than unsaturated peaks. B) Left: In the 1D wave-pinning model assuming infinite Dv, the velocity of the traveling wave front is a function of v. Right: In 2D, the velocity is also dependent on the radius of the mesa, because GTPase diffusing across the wavefront becomes diluted in a manner dependent on the curvature of the wavefront. C) When two unequal mesas coexist in 2D, they share the same cytoplasmic v and therefore have the same c0, but because of the the difference in radii, the larger mesa will expand at the expense of the smaller, leading to competition.