Mathematical analysis of competition between sensory ganglion cells for neurotrophic factor in the skin.
Math Biosci
; 191(2): 207-25, 2004 Oct.
Article
en En
| MEDLINE
| ID: mdl-15363654
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.
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Base de datos:
MEDLINE
Asunto principal:
Piel
/
Axones
/
Factor de Crecimiento Nervioso
/
Modelos Neurológicos
Tipo de estudio:
Prognostic_studies
Idioma:
En
Revista:
Math Biosci
Año:
2004
Tipo del documento:
Article
País de afiliación:
Suiza