Correlation between Animal and Mathematical Models for Prostate Cancer Progression
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 solution...
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2009-01-01
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Series: | Computational and Mathematical Methods in Medicine |
Online Access: | http://dx.doi.org/10.1080/17486700802517518 |
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doaj-91527456573a4127a8b2ee5d54a844e52020-11-24T21:04:21ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182009-01-0110424125210.1080/17486700802517518Correlation between Animal and Mathematical Models for Prostate Cancer ProgressionZ. Jackiewicz0C. L. Jorcyk1M. Kolev2B. Zubik-Kowal3Department of Mathematics and Statistics, Arizona State University, Tempe, AZ, USADepartment of Biology, Boise State University, Boise, ID, USADepartment of Mathematics and Computer Science, University of Warmia and Mazury, Olsztyn, PolandDepartment of Mathematics, Boise State University, Boise, ID, USAThis 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.http://dx.doi.org/10.1080/17486700802517518 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Z. Jackiewicz C. L. Jorcyk M. Kolev B. Zubik-Kowal |
spellingShingle |
Z. Jackiewicz C. L. Jorcyk M. Kolev B. Zubik-Kowal Correlation between Animal and Mathematical Models for Prostate Cancer Progression Computational and Mathematical Methods in Medicine |
author_facet |
Z. Jackiewicz C. L. Jorcyk M. Kolev B. Zubik-Kowal |
author_sort |
Z. Jackiewicz |
title |
Correlation between Animal and Mathematical Models for Prostate Cancer Progression |
title_short |
Correlation between Animal and Mathematical Models for Prostate Cancer Progression |
title_full |
Correlation between Animal and Mathematical Models for Prostate Cancer Progression |
title_fullStr |
Correlation between Animal and Mathematical Models for Prostate Cancer Progression |
title_full_unstemmed |
Correlation between Animal and Mathematical Models for Prostate Cancer Progression |
title_sort |
correlation between animal and mathematical models for prostate cancer progression |
publisher |
Hindawi Limited |
series |
Computational and Mathematical Methods in Medicine |
issn |
1748-670X 1748-6718 |
publishDate |
2009-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1080/17486700802517518 |
work_keys_str_mv |
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_version_ |
1716771458484535296 |