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February  2004, 4(1): 25-28. doi: 10.3934/dcdsb.2004.4.25

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, United States
2. 

Department of Mathematics, Statistics, and Computer Science (MC 249), University of Illinois at Chicago, 851 South Morgan Street, Chicago, IL 60607-7045, United States

Received  December 2002 Revised  April 2003 Published  November 2003

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.
Keywords: Cancer cells, bone marrow, metabolite, model..
Mathematics Subject Classification: Primary: 92B05; Secondary: 92B9.
Citation: Evans K. Afenya, Calixto P. Calderón. Growth kinetics of cancer cells prior to detection and treatment: An alternative view. Discrete and Continuous Dynamical Systems - B, 2004, 4 (1) : 25-28. doi: 10.3934/dcdsb.2004.4.25
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