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Correlation between animal and mathematical models for prostate cancer progression

Authors: Z. Jackiewicz - ^a; C. L. Jorcyk - ^b; M. Kolev - ^c; B. Zubik-Kowal - ^d

Affiliations:	^a Department of Mathematics and Statistics, Arizona State University, Tempe, AZ, USA
	^b Department of Biology, Boise State University, Boise, ID, USA
	^c Department of Mathematics and Computer Science, University of Warmia and Mazury, Olsztyn, Poland
	^d Department of Mathematics, Boise State University, Boise, ID, USA

DOI: 10.1080/17486700802517518

Publication Frequency: 4 issues per year

Published in: journal

Computational and Mathematical Methods in Medicine, Volume 10, Issue 4 December 2009 , pages 241 - 252

First Published on: 09 February 2009

Subjects: Biology; Biomechanics; Epidemiology; Mathematical Biology; Mathematical Modelling; Medicine; Oncology; Systems Biology;

Formats available: HTML (English) : PDF (English)

Previously published as: Journal of Theoretical Medicine (1027-3662, 1607-8578) until 2006

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Abstract

This work demonstrates that prostate tumour progression in vivo can be analysed by using solutions of a mathematical model supplemented by initial conditions chosen according to growth rates of cell lines in vitro. The mathematical model is investigated and solved numerically. Its numerical solutions are compared with experimental data from animal models. The numerical results confirm the experimental results with the growth rates in vivo.

Keywords: prostate tumour progression; growth rates of Pr-cell lines in vitro; animal models for prostate cancer; growth rates in vivo; mathematical model; numerical simulations

AMS Subject Classification: 45K05; 34K28; 62P10

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Correlation between animal and mathematical models for prostate cancer progression

Abstract