Note on an Alternative Mechanism for Logistic Growth
Gaver, Donald P.
Jacobs, Patricia A.
Carpenter, Robert L.
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Populations of cells that make up organ tissue grow and contract: A traditional approach to modeling organ size restriction to an observed "normal" level is to postulate a physical carrying capacity: effectively a limit on the physical region that can be occupied by the organ. The purpose of this note is to provide a very simple model for a cell population that grows under the control of positive and negative growth factors. It will be seen that such a model can result in logistic growth without the necessity of postulating a physical carrying capacity.
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NPS Report NumberNPS-OR-95-013
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