Mathematical analysis of competition between sensory ganglion cells for nerve growth factor in the skin
We model the competition between sensory axons for nerve growth factor (NGF) produced in the periphery. Previous models predicted the loss of all but one of the axons innervating a given region, owing to the unlimited growth of the “fittest” axon. We have imposed an upper limit to axon growth, thereby introducing new equilibria, and we show by LaSalle's theorem that, several axons can then survive, depending on the rate of NGF production.
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