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. Author manuscript; available in PMC: 2021 May 15.
Published in final edited form as: Cancer Res. 2020 Sep 16;80(22):5109–5120. doi: 10.1158/0008-5472.CAN-20-1231

Table 1.

Measured and inferred simulation parameters for one-population model (second column); and two-population model (third column). Parentheses indicate ranges with equally good fits. Corresponding non-dimensional parameters are shown in Supplementary Table 1. Net chemotaxis of cells is given by the interaction of the chemotactic coefficient (χ) and energy deficit inducing chemotaxis (ξu), i.e. effective cell chemotaxis is approximately χ/ξu. The larger ξu the later the cells sense an energy deficit, i.e. the larger the energy gradient must be in order for them to accelerate their movement in response to it.

Experimentally measured parameters Symbol Homogeneous cells on any ECM Heterogeneous cells Unit
Maximal growth rate λ 0.56 0.56 day−1
Goer’s seeding density u0 36.0 3.8 % confluence
Grower’s seeding density v0   1.3 % confluence
Simulation time t 3 127 days
Radius of domain R^ 1750 1750 μm
Seeding radius ρ0 175 175 μm
Growth beyond ρ0 no yes
Inferred parameters Symbol Homogeneous cells on GAP43 Heterogeneous cells Unit
Energy diffusion coefficient on ECM ΓE 9500 8982 μm2 day−1
Energy consumption rate δ 57 23 cells−1 day−1
Energy needed for half-maximal growth Φu [0.01, 3] 0.310
Φv [0.05, 0.16]
Chemotactic coefficient χ 5500 1919 μm2 day−1
Energy deficit inducing chemotaxis ξu [2, 300] [1, 8]
ξv 140