A Novel Derivation of Rigorous Macroscopic Limits from a Micro-Meso Description of Signal-Triggered Cell Migration in Fibrous Environments
DOI10.1137/20M1365442zbMath1483.35295arXiv2010.04148OpenAlexW3092603610MaRDI QIDQ5024355
Christina Surulescu, Anna Zhigun
Publication date: 31 January 2022
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.04148
measure-valued solutionsmultiscale modelingkinetic transport equationscell movementreaction-diffusion-taxis equationshyperbolic/parabolic scaling
Integro-partial differential equations (45K05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Weak solutions to PDEs (35D30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Cell movement (chemotaxis, etc.) (92C17) Transport equations (35Q49)
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