Correlation between animal and mathematical models for prostate cancer progression

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

Research output: Contribution to journalArticle

13 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)241-252
Number of pages12
JournalComputational and Mathematical Methods in Medicine
Volume10
Issue number4
DOIs
StatePublished - Dec 2009

Fingerprint

Animal Model
Prostate Cancer
Progression
Prostatic Neoplasms
Animals
Theoretical Models
Animal Models
Mathematical Model
Mathematical models
Growth
Tumors
Prostate
Tumor
Initial conditions
Cells
Numerical Solution
Experimental Data
Cell Line
Numerical Results
Line

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

  • Applied Mathematics
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Medicine(all)
  • Immunology and Microbiology(all)

Cite this

Correlation between animal and mathematical models for prostate cancer progression. / Jackiewicz, Zdzislaw; Jorcyk, C. L.; Kolev, M.; Zubik-Kowal, B.

In: Computational and Mathematical Methods in Medicine, Vol. 10, No. 4, 12.2009, p. 241-252.

Research output: Contribution to journalArticle

@article{2771db8c0fe248dd88a5ae0fab0047b2,
title = "Correlation between animal and mathematical models for prostate cancer progression",
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",
month = "12",
doi = "10.1080/17486700802517518",
language = "English (US)",
volume = "10",
pages = "241--252",
journal = "Computational and Mathematical Methods in Medicine",
issn = "1748-670X",
publisher = "Hindawi Publishing Corporation",
number = "4",

}

TY - JOUR

T1 - Correlation between animal and mathematical models for prostate cancer progression

AU - Jackiewicz, Zdzislaw

AU - Jorcyk, C. L.

AU - Kolev, M.

AU - Zubik-Kowal, B.

PY - 2009/12

Y1 - 2009/12

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.

KW - Animal models for prostate cancer

KW - Growth rates in vivo

KW - Growth rates of Pr-cell lines in vitro

KW - Mathematical model

KW - Numerical simulations

KW - Prostate tumour progression

UR - http://www.scopus.com/inward/record.url?scp=77649138203&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77649138203&partnerID=8YFLogxK

U2 - 10.1080/17486700802517518

DO - 10.1080/17486700802517518

M3 - Article

AN - SCOPUS:77649138203

VL - 10

SP - 241

EP - 252

JO - Computational and Mathematical Methods in Medicine

JF - Computational and Mathematical Methods in Medicine

SN - 1748-670X

IS - 4

ER -