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

A size structured model of cell dwarfism

Keith E. Howard 1,

1. 

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

Received  May 2001 Revised  July 2001 Published  September 2001

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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