Incorporating chemical signalling factors into cell-based models of growing epithelial tissues

DOI10.1007/s00285-011-0464-yzbMath1303.92017OpenAlexW2129960309WikidataQ51534062 ScholiaQ51534062MaRDI QIDQ455760

J. Herrera, D. Rodríguez-Gómez

Publication date: 22 October 2012

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

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:0bbffa3d-cfdf-4d7f-a1cb-1076337e136f

zbMATH Keywords

diffusionfinite elementsvertex modelsarbitrary Lagrangian-Euleriantissue growthdrosophila imaginal wing disc

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Systems biology, networks (92C42)

Related Items (5)

Approximate Bayesian computation reveals the importance of repeated measurements for parameterising cell-based models of growing tissues ⋮ Free and interfacial boundaries in individual-based models of multicellular biological systems ⋮ Cell-center-based model for simulating three-dimensional monolayer tissue deformation ⋮ A free boundary mechanobiological model of epithelial tissues ⋮ A free boundary model of epithelial dynamics

Cites Work

• Lagrangian-Eulerian finite element formulation for incompressible viscous flows
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions

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