. 2017 Dec 1;13(12):e1005866. doi: 10.1371/journal.pcbi.1005866

Table 2. Parameters used in the annihilating and coalescing random-walk model.

We experimentally measured R₀, D_w, and $v_{w}^{i j}$ using the procedures outlined in the Materials and methods so that we could compare experimental results with our model’s predictions.

Parameter	Value	Description
Experimentally Measured
R₀	3.50 ± 0.05 mm	Initial radius where domain walls form
D_w	0.100 ± 0.005 mm	Diffusion constant per length expanded
$v_{w}^{i R}$	0.06 ± 0.02	Wall velocity: transverse displacement per length expanded. Obtained by tracking sectors; only observable for strains (i) sweeping through mCherry (R).
Key Parameters
$L_{s}^{i j}$	$D_{w} / (v_{w}^{i j})^{2}$	Length expanded when selection dominates diffusion for linear expansions
κ_ij	$\sqrt{R_{0} / L_{s}^{i j}}$	Strength of selection versus inflation and diffusion for radial expansions
ϕ_c	$\sqrt{8 D_{w} / R_{0}}$	Characteristic angular correlation length between strains
Independent Variables
R	–	Radius of the colony
L	R − R₀	Colony length expanded
ϕ	–	Polar coordinate angle