Analysis of dynamic and stationary pattern formation in the cell cortex

DOI10.1007/BF00163842zbMath0769.92004WikidataQ52422165 ScholiaQ52422165MaRDI QIDQ1202558

Mark A. Lewis, James D. Murray

Publication date: 25 February 1993

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

zbMATH Keywords

mass conservationcontractionforce balanceproteinviscosityperturbation analysisspatial patternsosmotic pressureconservation equationshomogeneous steady statemyosinelastic restoring forcescritical wave lengthepithelial cellsreaction-diffusion-convectioncalcium ionsmechanochemical modelactin moleculecellular cytoplasmcontractile forcesfilopodiaformation of microtubuliformation of microvilliGel statelong-term dispersive wave patternsmicrospikesnerve growth conesSol statesol-gel dynamicsstereocilia

Mathematics Subject Classification ID

Biomechanics (92C10) Biophysics (92C05) Developmental biology, pattern formation (92C15)

Related Items (4)

Spatio-temporal patterns in a mechanical model for mesenchymal morphogenesis ⋮ Mathematical modelling and numerical simulations of actin dynamics in the eukaryotic cell ⋮ Mathematical modeling of invadopodia formation ⋮ Hopf bifurcation in a gene regulatory network model: Molecular movement causes oscillations

Cites Work

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• A mechanical model for mesenchymal morphogenesis
• The mechanochemistry cytogels
• Analysis of stable two-dimensional patterns in contractile cytogel
• Nonlinear Dynamic Stability: A Formal Theory

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