Experimental Versus Numerical Data for Breast Cancer Progression

Cheryl L. Jorcyk; M. Kolev; Ken Tawara; Barbara Zubik-Kowal

doi:10.1016/j.nonrwa.2011.07.014

Experimental Versus Numerical Data for Breast Cancer Progression

Cheryl L. Jorcyk
, M. Kolev
, Ken Tawara
, Barbara Zubik-Kowal

University of Warmia and Mazury
Boise State University

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

32 Scopus citations

Abstract

This paper deals with a mouse model of breast cancer based on two mammary adenocarcinoma cell lines derived from a spontaneous tumor of the mammary gland in a female BALB/c mouse. We investigate both animal and mathematical models of tumor progression, and demonstrate a correspondence between the experimental and predicted data. The mathematical model is solved numerically and the laboratory data are utilized in order to find unknown parameters for the model equations. The results of the numerical experiments illustrate that the mathematical model has a potential to describe the growth of cancer cells in vivo.

Original language	American English
Journal	Nonlinear Analysis: Real World Applications
DOIs	https://doi.org/10.1016/j.nonrwa.2011.07.014
State	Published - 1 Feb 2012

Keywords

cell lines
mammary
tumor progression
animal model
integro-differential equations

EGS Disciplines

Biology

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10.1016/j.nonrwa.2011.07.014License: Unspecified

http://dx.doi.org/10.1016/j.nonrwa.2011.07.014

Cite this

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title = "Experimental Versus Numerical Data for Breast Cancer Progression",

abstract = "This paper deals with a mouse model of breast cancer based on two mammary adenocarcinoma cell lines derived from a spontaneous tumor of the mammary gland in a female BALB/c mouse. We investigate both animal and mathematical models of tumor progression, and demonstrate a correspondence between the experimental and predicted data. The mathematical model is solved numerically and the laboratory data are utilized in order to find unknown parameters for the model equations. The results of the numerical experiments illustrate that the mathematical model has a potential to describe the growth of cancer cells in vivo.",

keywords = "cell lines, mammary, tumor progression, animal model, integro-differential equations",

author = "Jorcyk, \{Cheryl L.\} and M. Kolev and Ken Tawara and Barbara Zubik-Kowal",

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doi = "10.1016/j.nonrwa.2011.07.014",

language = "American English",

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TY - JOUR

T1 - Experimental Versus Numerical Data for Breast Cancer Progression

AU - Jorcyk, Cheryl L.

AU - Kolev, M.

AU - Tawara, Ken

AU - Zubik-Kowal, Barbara

PY - 2012/2/1

Y1 - 2012/2/1

N2 - This paper deals with a mouse model of breast cancer based on two mammary adenocarcinoma cell lines derived from a spontaneous tumor of the mammary gland in a female BALB/c mouse. We investigate both animal and mathematical models of tumor progression, and demonstrate a correspondence between the experimental and predicted data. The mathematical model is solved numerically and the laboratory data are utilized in order to find unknown parameters for the model equations. The results of the numerical experiments illustrate that the mathematical model has a potential to describe the growth of cancer cells in vivo.

AB - This paper deals with a mouse model of breast cancer based on two mammary adenocarcinoma cell lines derived from a spontaneous tumor of the mammary gland in a female BALB/c mouse. We investigate both animal and mathematical models of tumor progression, and demonstrate a correspondence between the experimental and predicted data. The mathematical model is solved numerically and the laboratory data are utilized in order to find unknown parameters for the model equations. The results of the numerical experiments illustrate that the mathematical model has a potential to describe the growth of cancer cells in vivo.

KW - cell lines

KW - mammary

KW - tumor progression

KW - animal model

KW - integro-differential equations

UR - https://scholarworks.boisestate.edu/bio_facpubs/158

UR - http://dx.doi.org/10.1016/j.nonrwa.2011.07.014

U2 - 10.1016/j.nonrwa.2011.07.014

DO - 10.1016/j.nonrwa.2011.07.014

M3 - Article

SN - 1468-1218

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

ER -

Experimental Versus Numerical Data for Breast Cancer Progression

Abstract

Keywords

EGS Disciplines

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