Correlation between animal and mathematical models for prostate cancer progression

Zdzislaw Jackiewicz; C. L. Jorcyk; M. Kolev; B. Zubik-Kowal

doi:10.1080/17486700802517518

Correlation between animal and mathematical models for prostate cancer progression

Zdzislaw Jackiewicz, C. L. Jorcyk, M. Kolev, B. Zubik-Kowal

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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.

Original language	English (US)
Pages (from-to)	241-252
Number of pages	12
Journal	Computational and Mathematical Methods in Medicine
Volume	10
Issue number	4
DOIs	https://doi.org/10.1080/17486700802517518
State	Published - Dec 2009

Keywords

Animal models for prostate cancer
Growth rates in vivo
Growth rates of Pr-cell lines in vitro
Mathematical model
Numerical simulations
Prostate tumour progression

ASJC Scopus subject areas

Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
Applied Mathematics

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10.1080/17486700802517518

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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 = "Animal models for prostate cancer, Growth rates in vivo, Growth rates of Pr-cell lines in vitro, Mathematical model, Numerical simulations, Prostate tumour progression",

author = "Zdzislaw Jackiewicz and Jorcyk, {C. L.} and M. Kolev and B. Zubik-Kowal",

year = "2009",

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AU - Jorcyk, C. L.

AU - Kolev, M.

AU - Zubik-Kowal, B.

PY - 2009/12

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N2 - 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.

AB - 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.

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KW - Growth rates in vivo

KW - Growth rates of Pr-cell lines in vitro

KW - Mathematical model

KW - Numerical simulations

KW - Prostate tumour progression

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Correlation between animal and mathematical models for prostate cancer progression

Abstract

Keywords

ASJC Scopus subject areas

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