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Stability analysis of normal and neoplastic growth

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Abstract

A model for normal and abnormal tissue growth is defined by a system of differential equations. The model consists of a proliferating compartment, which is characterized by a decreasing growth rate, and a nonproliferating one. The compartments are also parametrized by their death and transfer rates. A stability analysis of the system shows in a precise way how abnormal growth may result from a perturbation of the parameters leading to a change in an equilibrium of the tissue size.

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Authors and Affiliations

  1. Departments of Mathematics and Physiology-Biophysics, Temple University, 19122, Philadelphia, Pennsylvania, U.S.A.

    Martin Eisen & John Schiller

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  1. Martin Eisen
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  2. John Schiller
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Eisen, M., Schiller, J. Stability analysis of normal and neoplastic growth. Bltn Mathcal Biology 39, 597–605 (1977). https://doi.org/10.1007/BF02461205

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  • DOI: https://doi.org/10.1007/BF02461205

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