Mathematical analysis of two competing cancer cell migration mechanisms driven by interstitial fluid flow

DOI10.1007/s00332-020-09625-wzbMath1442.35469OpenAlexW3019724342MaRDI QIDQ2190704

Michael Winkler, Steinar Evje

Publication date: 21 June 2020

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-020-09625-w

zbMATH Keywords

asymptotic behaviorchemotaxisfluid interaction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Related Items

Asymptotic behavior of two competing cancer cell migration mechanisms driven by interstitial fluid flow, Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation, On the numerical discretization of a tumor progression model driven by competing migration mechanisms, Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision, On a two-species attraction-repulsion chemotaxis system with nonlocal terms, Existence of weak solutions for a nonhomogeneous incompressible cell–fluid Navier–Stokes model with chemotaxis, Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation, Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system

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