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Computational and Mathematical Methods in Medicine
Volume 10, Issue 4, Pages 241-252
http://dx.doi.org/10.1080/17486700802517518
Original Article

Correlation between Animal and Mathematical Models for Prostate Cancer Progression

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.

Citations to this Article [11 citations]

The following is the list of published articles that have cited the current article.

  • Mikhail K. Kolev, “Mathematical modelling of the interactions between antibodies and virus,” 2008 Conference on Human System Interaction, HSI 2008, pp. 365–368, 2008. View at Publisher · View at Google Scholar
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  • Mikhail Kolev, and Barbara Zubik-Kowal, “Numerical Versus Experimental Data For Prostate Tumour Growth,” Journal of Biological Systems, vol. 19, no. 01, pp. 33–46, 2011. View at Publisher · View at Google Scholar
  • Jorcyk, Kolev, and Zubik-Kowal, “Numerical experiments for mammary adenocarcinoma cell progression,” Integral Methods in Science and Engineering: Computational and Analytic Aspects, pp. 213–224, 2011. View at Publisher · View at Google Scholar
  • C.L. Jorcyk, M. Kolev, K. Tawara, and Barbara Zubik-Kowal, “Experimental versus numerical data for breast cancer progression,” Nonlinear Analysis: Real World Applications, vol. 13, no. 1, pp. 78–84, 2012. View at Publisher · View at Google Scholar
  • M. Kolev, S. Nawrocki, and B. Zubik-Kowal, “Numerical simulations for tumor and cellular immune system interactions in lung cancer treatment,” Communications in Nonlinear Science and Numerical Simulation, vol. 18, no. 6, pp. 1473–1480, 2013. View at Publisher · View at Google Scholar
  • B. Zubik-Kowal, “Numerical algorithm for the growth of human tumor cells and their responses to therapy,” Applied Mathematics and Computation, vol. 230, pp. 174–179, 2014. View at Publisher · View at Google Scholar
  • Barbara Zubik-Kowal, “A Fast Parallel Algorithm for Delay Partial Differential Equations Modeling the Cell Cycle in Cell Lines Derived from Human Tumors,” Springer Proceedings in Mathematics and Statistics, vol. 94, pp. 251–259, 2014. View at Publisher · View at Google Scholar
  • B. Zubik-Kowal, “An algorithm for partial functional differential equations modeling tumor growth,” Applied Mathematics and Computation, vol. 321, pp. 85–92, 2018. View at Publisher · View at Google Scholar