Table 1.

Symbols

R	Radius of curvature of the LE in the plane of simulation
VPM; Vfree	Velocity of the LE center of mass; free polymerization velocity
ΔE	Thermal energy required for intercalating a monomer between LE and barbed end = Δ(ΣEb + ΣEse + ΣEfil) over successive potential states
EbEse Efil	PM bending, PM surface, and filament bending potential energies
ds; dA	Differential length along LE; differential area of plasma membrane
lts	Filament terminal segment length, from barbed end to first branch
φfil	Filament orientation angle, with respect to the direction of protrusion
αd	Mean absolute filament deviation angle, measured from population mean
[A]; [A]i,j	ATP-G-actin concentration, in general; local conc. at position (i,j)
fε	Average fraction of all free barbed ends within the ε-demarcated LE zone
t1/2 N1/2	Half-time; number of branching generations to develop orientation pattern