Table 1 Model parameters

From: Spatial self-organization resolves conflicts between individuality and collective migration

Symbol

Definition and value

Reference

M

The receptor gain for aspartate, M = 6

Ref. 29

K 0

The dissociation constant to aspartate for the inactive conformation of the Tar receptor, K0 = 3.5 μM

Ref. 48

K 1

The dissociation constant to aspartate for the active conformation of the Tar receptor, K1 = 1000 μM

Ref. 48

μ A

The diffusion coefficient of aspartate molecules, μA = 500 μm2 s−1

Ref. 55

K A

The aspartate concentration at half-max of its consumption, KA = 0.5 μM

Ref. 56

α A0

The maximum aspartate consumption rate, αA0 = 9.3 × 10−12 μmol−1 cell−1

Supplementary Fig. 7g

O ex

The external oxygen level, Oex = 250 μM

Ref. 57

g A

The basal ratio of relative consumption rate at zero oxygen, gA = 0.27

Supplementary Fig. 7g

μ O

The diffusion coefficient of dissolved oxygen, μO = 2500 μm2 s−1

Ref. 55

α O

The maximum oxygen consumption rate, αO = 7×10−11 μmol min−1 cell−1

Supplementary Fig. 7g

K O

The dissolved oxygen concentration at half-max its consumption, KO = 1 μM

Supplementary Fig. 7g

κ

The oxygen transfer rate through ~ 0.5 cm of PDMS, κ = 0.02 s−1

Ref. 58

ρ 0

Initial cell density, ρ0 ~ 2.87 × 1010 cells per mL

This study

x 0

Length scale of initial cell density profile, x0 = 0.8 mm

This study

v

Cell swimming speed, v ~ 36 μm s−1

This study

Θ

Directional persistence Θ = 0.16

Ref. 22

D rot

Rotational diffusion coefficient during runs, Drot = 0.062 s−1

Ref. 50

k 0

Parameter in the expression for χ i /μ i , k0 = 22

Ref. 22

TB0

Parameter in the expression for χ i /μ i , TB0 = 0.05

Ref. 22