Computational and Mathematical Methods in Medicine
Volume 10 (2009), Issue 4, Pages 241-252
doi:10.1080/17486700802517518
Original Article

Correlation between Animal and Mathematical Models for Prostate Cancer Progression

Z. Jackiewicz,1 C. L. Jorcyk,2 M. Kolev,3 and B. Zubik-Kowal4

1Department of Mathematics and Statistics, Arizona State University, Tempe, AZ, USA
2Department of Biology, Boise State University, Boise, ID, USA
3Department of Mathematics and Computer Science, University of Warmia and Mazury, Olsztyn, Poland
4Department of Mathematics, Boise State University, Boise, ID, USA

Received 26 October 2007; Accepted 30 May 2008

Copyright © 2009 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.