A size structured model of cell dwarfism

Keith E. Howard

doi:10.3934/dcdsb.2001.1.471

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2001, Volume 1, Issue 4: 471-484. Doi: 10.3934/dcdsb.2001.1.471

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A size structured model of cell dwarfism

Keith E. Howard^1,

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

Received: May 2001

Revised: July 2001

Published: November 2001

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Abstract

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.

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Mathematics Subject Classification: 37C75, 37N25, 92C37.

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