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 |