Cell Polarity – Wave-Pinning (Mori-Jilkine-Edelstein-Keshet)

Mass-conserved Turing instability on a 1D cell. Active (u) and inactive (v) forms of a GTPase satisfy u_t = D_u·∇²u + f(u,v) with total mass conserved. A traveling wave slows and pins — creating stable polarity.

Total mass M1.20

D_u (active diff.)0.010

D_v (inactive diff.)1.00

b (basal rate)0.50

Polarity: —

Front position: —

Mass conservation: —