Growth kinetics of cancer cells prior to detection and treatment:  An alternative view

Evans K. Afenya; Calixto P. Calderón

doi:10.3934/dcdsb.2004.4.25

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2004, Volume 4, Issue 1: 25-28. Doi: 10.3934/dcdsb.2004.4.25

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Growth kinetics of cancer cells prior to detection and treatment: An alternative view

Evans K. Afenya^1, and
Calixto P. Calderón^2,

1.
Department of Mathematics, Elmhurst College, 190 Prospect Avenue, Elmhurst, IL 60126
2.
Department of Mathematics, Statistics, and Computer Science (MC 249), University of Illinois at Chicago, 851 South Morgan Street, Chicago, IL 60607-7045

Received: November 30, 2002

Revised: March 31, 2003

Published: January 2004

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Abstract

Analytical arguments are used to enhance findings related to the Gompertzian growth kinetics of disseminated cancer cells. It is shown that such cells could also obey kinetics described by a modified Gompertz representation arising from looking at the bone marrow as a porous medium.

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Mathematics Subject Classification: Primary: 92B05; Secondary: 92B99.

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