| Synchrony in reaction-diffusion models of morphogenesis: applications to curvature-dependent proliferation and zero-diffusion front waves. | |
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MedLine Citation:
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PMID: 19884182 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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The paper presents the classical age-dependent approach of the morphogenesis in the framework of the von Foerster equation, in which we introduce a new constraint and study a new feature: (i) the new constraint concerns cell proliferation along the contour lines of the cell density, depending on the local curvature such as it favours the amplification of the concavities (like in the gastrulation process) and (ii) the new feature consists of considering, on the cell density surface, a remarkable line (the null mean Gaussian curvature line), on which the normal diffusion vanishes, favouring local coexistence of diffusing morphogens, metabolites or cells, and hence the auto-assemblages of these entities. Two applications to biological multi-agents systems are studied, gastrulation and feather morphogenesis. |
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Authors:
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Lamia Abbas; Jacques Demongeot; Nicolas Glade |
Publication Detail:
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Type: Journal Article; Research Support, Non-U.S. Gov't |
Journal Detail:
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Title: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences Volume: 367 ISSN: 1364-503X ISO Abbreviation: Philos Trans A Math Phys Eng Sci Publication Date: 2009 Dec |
Date Detail:
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Created Date: 2009-11-03 Completed Date: 2010-03-04 Revised Date: 2013-04-24 |
Medline Journal Info:
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Nlm Unique ID: 101133385 Medline TA: Philos Trans A Math Phys Eng Sci Country: England |
Other Details:
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Languages: eng Pagination: 4829-62 Citation Subset: IM |
Affiliation:
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Institut National des Sciences Appliquées Rouen, Laboratoire de Mathématiques de l'INSA EA 3226, Place Emile Blondel BP 08, 76131 Mont-Saint-Aignan, France. |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Animals Birds Cell Cycle / physiology* Feathers / physiology Gastrulation / physiology Models, Biological* Morphogenesis / physiology* Thermodynamics |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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