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math.AP2022
Asymptotic preserving schemes for nonlinear kinetic equations leading to volume-exclusion chemotaxis in the diffusive limit
Gissell Estrada-Rodriguez, Diane Peurichard, Xinran Ruan
In this work we first prove, by formal arguments, that the diffusion limit of nonlinear kinetic equations, where both the transport term and the turning operator are density-depend…
q-bio.PE2022★ 4 cited
Individual-based and continuum models of phenotypically heterogeneous growing cell populations
Fiona R Macfarlane, Xinran Ruan, Tommaso Lorenzi
Existing studies comparing individual-based models of growing cell populations and their continuum counterparts have mainly focused on homogeneous populations, in which all cells h…