Numerical versus Experimental Data for Prostate Tumour Growth

Mikhail Kolev; Barbara Zubik-Kowal

doi:10.1142/S0218339011003774

Numerical versus Experimental Data for Prostate Tumour Growth

Mikhail Kolev, Barbara Zubik-Kowal

Mathematics Department

University of Warmia and Mazury in Olsztyn

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

6 Scopus citations

Abstract

The goal of this paper is to solve mathematical model equations on solid tumour growth and compute their parameter values by applying growth rates of prostate cancer cell lines in vivo . For these computations, we investigate previously developed C3(1)/Tag transgenic models of prostate cancer. To make the computations fast, we have constructed an algorithm, which is based on small amounts of spatial grid-points and obtained a correspondence between the in vivo growth of tumours and the solutions of the model equations.

Original language	American English
Pages (from-to)	33-46
Number of pages	14
Journal	Journal of Biological Systems
Volume	19
Issue number	1
DOIs	https://doi.org/10.1142/S0218339011003774
State	Published - Mar 2011

Keywords

Animal Models
Approximations
Cancer Cells
Extracellular Matrix
Haptotaxis
In Vivo Tumorigenicity
Mathematical Model
Metastasis
Proliferation
Tumour Invasion

EGS Disciplines

Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1142/S0218339011003774

Cite this

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title = "Numerical versus Experimental Data for Prostate Tumour Growth",

abstract = " The goal of this paper is to solve mathematical model equations on solid tumour growth and compute their parameter values by applying growth rates of prostate cancer cell lines in vivo . For these computations, we investigate previously developed C3(1)/Tag transgenic models of prostate cancer. To make the computations fast, we have constructed an algorithm, which is based on small amounts of spatial grid-points and obtained a correspondence between the in vivo growth of tumours and the solutions of the model equations.",

keywords = "Animal Models, Approximations, Cancer Cells, Extracellular Matrix, Haptotaxis, In Vivo Tumorigenicity, Mathematical Model, Metastasis, Proliferation, Tumour Invasion",

author = "Mikhail Kolev and Barbara Zubik-Kowal",

year = "2011",

month = mar,

doi = "10.1142/S0218339011003774",

language = "American English",

volume = "19",

pages = "33--46",

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TY - JOUR

T1 - Numerical versus Experimental Data for Prostate Tumour Growth

AU - Kolev, Mikhail

AU - Zubik-Kowal, Barbara

PY - 2011/3

Y1 - 2011/3

N2 - The goal of this paper is to solve mathematical model equations on solid tumour growth and compute their parameter values by applying growth rates of prostate cancer cell lines in vivo . For these computations, we investigate previously developed C3(1)/Tag transgenic models of prostate cancer. To make the computations fast, we have constructed an algorithm, which is based on small amounts of spatial grid-points and obtained a correspondence between the in vivo growth of tumours and the solutions of the model equations.

AB - The goal of this paper is to solve mathematical model equations on solid tumour growth and compute their parameter values by applying growth rates of prostate cancer cell lines in vivo . For these computations, we investigate previously developed C3(1)/Tag transgenic models of prostate cancer. To make the computations fast, we have constructed an algorithm, which is based on small amounts of spatial grid-points and obtained a correspondence between the in vivo growth of tumours and the solutions of the model equations.

KW - Animal Models

KW - Approximations

KW - Cancer Cells

KW - Extracellular Matrix

KW - Haptotaxis

KW - In Vivo Tumorigenicity

KW - Mathematical Model

KW - Metastasis

KW - Proliferation

KW - Tumour Invasion

UR - http://www.scopus.com/inward/record.url?scp=79953168783&partnerID=8YFLogxK

UR - https://scholarworks.boisestate.edu/math_facpubs/37

U2 - 10.1142/S0218339011003774

DO - 10.1142/S0218339011003774

M3 - Article

SN - 0218-3390

VL - 19

SP - 33

EP - 46

JO - Journal of Biological Systems

JF - Journal of Biological Systems

IS - 1

ER -

Numerical versus Experimental Data for Prostate Tumour Growth

Abstract

Keywords

EGS Disciplines

UN SDGs

Access to Document

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