A size structured model of cell dwarfism

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November 2001, 1(4): 471-484. doi: 10.3934/dcdsb.2001.1.471

A size structured model of cell dwarfism

1.	Department of Mathematics, Kenyon College, Gambier, Ohio 43022, United States

Received May 2001 Revised July 2001 Published September 2001

Abstract
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This work is devoted to analyzing the growth of a cell population where cellular development is characterized by cellular size. By size we mean some quantifiedmeasure of cellular mass. The issues treatedhere include: (1) existence anduniqueness of solutions, (2) stability andinstability of solutions, and (3) biological interpretation of results.

Keywords: Population dynamics, topological transitive., semigroups of operators.

Mathematics Subject Classification: 37C75, 37N25, 92C3.

Citation: Keith E. Howard. A size structured model of cell dwarfism. Discrete & Continuous Dynamical Systems - B, 2001, 1 (4) : 471-484. doi: 10.3934/dcdsb.2001.1.471

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