Mathematical analysis of competition between sensory ganglion cells for neurotrophic factor in the skin.

Details

Serval ID
serval:BIB_03B61A8EF78F
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Mathematical analysis of competition between sensory ganglion cells for neurotrophic factor in the skin.
Journal
Mathematical Biosciences
Author(s)
Kohli R., Gabriel J.P., Clarke P.G.H.
ISSN
0025-5564[print], 0025-5564[linking]
Publication state
Published
Issued date
2004
Peer-reviewed
Oui
Volume
191
Number
2
Pages
207-225
Language
english
Notes
Journal Article Research Support, Non-U.S. Gov't --- Old month value: Oct
Abstract
A model is presented of competition between sensory axons for trophic molecules (e.g. a neurotrophin such as NGF), produced in a region of skin small enough to permit their free diffusion throughout it; e.g., a touch dome, or a vibrissal follicle hair sinus. The variables specified are the number of high affinity trophic factor receptors per axon terminal and the concentration of trophic factor in the extracellular space. Previous models of this class predicted the loss of all the axons innervating the region except the one requiring least trophic factor for its maintenance, even with high rates of trophic factor production. In the present model, we have imposed upper limits to axonal growth, thereby introducing new equilibria, and we show by a global analysis using LaSalle's theorem, and also by local analysis, that several axons can then coexist if the rate of production of trophic molecules is sufficiently high.
Keywords
Axons/metabolism, Axons/physiology, Models, Neurological, Nerve Growth Factor/metabolism, Nerve Growth Factor/physiology, Neurons, Afferent/metabolism, Neurons, Afferent/physiology, Receptors, Nerve Growth Factor/metabolism, Receptors, Nerve Growth Factor/physiology, Skin/innervation, Skin/metabolism
Pubmed
Web of science
Create date
20/01/2008 17:49
Last modification date
20/08/2019 12:25
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