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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Main Authors: Z. Jackiewicz, C. L. Jorcyk, M. Kolev, B. Zubik-Kowal
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Computational and Mathematical Methods in Medicine
Online Access:http://dx.doi.org/10.1080/17486700802517518
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spelling 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
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AT cljorcyk correlationbetweenanimalandmathematicalmodelsforprostatecancerprogression
AT mkolev correlationbetweenanimalandmathematicalmodelsforprostatecancerprogression
AT bzubikkowal correlationbetweenanimalandmathematicalmodelsforprostatecancerprogression
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