Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin Membranes
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Publication:5239839
DOI10.1137/19M124263XzbMath1428.35619arXiv1901.10803OpenAlexW2981593383WikidataQ111491199 ScholiaQ111491199MaRDI QIDQ5239839
Tommaso Lorenzi, Chiara Giverso, Mark A. J. Chaplain, Luigi Preziosi
Publication date: 23 October 2019
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.10803
continuum mechanicsovarian cancerbasement membranethin membranescell invasioneffective interface conditions
PDEs in connection with biology, chemistry and other natural sciences (35Q92) PDEs with low regular coefficients and/or low regular data (35R05) Biomechanics (92C10) Membranes (74K15) Biomechanical solid mechanics (74L15) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17)
Related Items (8)
3D-1D coupling on non conforming meshes via a three-field optimization based domain decomposition ⋮ Analysis of a preconditioner for a membrane diffusion problem with the Kedem-Katchalsky transmission condition ⋮ A model for membrane degradation using a gelatin invadopodia assay ⋮ The mathematics of mechanobiology and cell signaling. Abstracts from the workshop held February 25--March 3, 2018 ⋮ Existence of a global weak solution for a reaction-diffusion problem with membrane conditions ⋮ Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes ⋮ Multi-level mathematical models for cell migration in confined environments ⋮ Effect of a membrane on diffusion-driven Turing instability
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