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Table 2 Nominal values of the parameters for the two-phenotype model, Eqs.(3)-(5), in two dimensions.

From: Accurate state estimation from uncertain data and models: an application of data assimilation to mathematical models of human brain tumors

Parameter

Meaning

value

α

maximum glioma growth rate

0.025 day-1

T max

glioma carrying capacity

10 000 cells mm-2

α W

maximum ECM recovery rate

0.01 day-1

ρ

maximum ECM remodeling rate

0.02 day-1

θ W

cell density at half-maximum ECM degradation

100 cells mm-2

Parameter

Meaning

White Matter

White Matter

CSF

D G (x)

growing cell diffusion rate (mm2 day-1)

0.002

0.0004

0.001

D M (x)

migrating cell diffusion rate (mm2 day-1)

0.10

0.02

0.001

χ(x)

haptotaxis coefficient (mm-1)

0.25

0.05

0