Approximating the dynamics of communicating cells in a diffusive medium by ODEs -- homogenization with localization

DOI10.1007/s00285-012-0569-yzbMath1277.35036OpenAlexW2092772931WikidataQ43921854 ScholiaQ43921854MaRDI QIDQ378307

Hannes Uecker, Johannes Müller

Publication date: 11 November 2013

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-012-0569-y

zbMATH Keywords

dimension reductionquorum sensing

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Second-order parabolic equations (35K10)

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Cites Work

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• Cell-cell communication by quorum sensing and dimension-reduction
• A mathematical model for quorum sensing in \textit{Pseudomonas aeruginosa}
• Partial differential equations in action. From modelling to theory
• Determination of a Robin coefficient in semilinear parabolic problems by means of boundary measurements
• Cell-signalling repression in bacterial quorum sensing

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