Abstract
A model for homeostatic regulation in mammalian tissues is analyzed. The model treats resting and active dividing cells, immature and mature non-dividing cells as separate populations. In the model, regulation is accomplished through control of the proportion of newly-formed cells that will become non-dividers. Four possible regulating substances, produced by dividing cells, non-dividing cells, mature non-dividing cells, and newly-formed cells respectively, are considered. Stability theorems are provided. System behavior in each instance depends on the relative values of the rate at which cells divide and the rate at which non-dividers die.
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