Spatial and spatio-temporal patterns in a cell-haptotaxis model

DOI10.1007/BF00288431zbMath0716.92004WikidataQ52543026 ScholiaQ52543026MaRDI QIDQ753701

Philip K. Maini

Publication date: 1989

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

zbMATH Keywords

Hopf bifurcationperiodic boundary conditionsmorphogenesisspatio-temporal patternscell pattern formationcell- haptotaxis modelembryonic developmentexistence of spatially heterogeneous steady statesmechanochemical interaction of cellsnonlinear multi-time scale perturbation proceduresingular dispersion relationsteady state problem

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biophysics (92C05) Developmental biology, pattern formation (92C15)

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Cites Work

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• The chemical basis of morphogenesis
• A simple nonlinear dynamic stability problem
• A non-linear instability theory for a wave system in plane Poiseuille flow

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