Numerical Simulations for Tumor and Cellular Immune System Interactions in Lung Cancer Treatment

M. Kolev; S. Nawrocki; B. Zubik-Kowal

doi:10.1016/j.cnsns.2012.10.011

Numerical Simulations for Tumor and Cellular Immune System Interactions in Lung Cancer Treatment

M. Kolev, S. Nawrocki, B. Zubik-Kowal

Mathematics Department

University of Warmia and Mazury in Olsztyn

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

17 Scopus citations

Abstract

We investigate a new mathematical model that describes lung cancer regression in patients treated by chemotherapy and radiotherapy. The model is composed of nonlinear integro-differential equations derived from the so-called kinetic theory for active particles and a new sink function is investigated according to clinical data from carcinoma planoepitheliale. The model equations are solved numerically and the data are utilized in order to find their unknown parameters. The results of the numerical experiments show a good correlation between the predicted and clinical data and illustrate that the mathematical model has potential to describe lung cancer regression.

Original language	American English
Pages (from-to)	1473-1480
Number of pages	8
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	18
Issue number	6
DOIs	https://doi.org/10.1016/j.cnsns.2012.10.011
State	Published - Jun 2013

Keywords

Active particles
Carcinoma planoepitheliale
Kinetic theory
Numerical simulations

EGS Disciplines

Mathematics

UN SDGs

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

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10.1016/j.cnsns.2012.10.011

Cite this

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title = "Numerical Simulations for Tumor and Cellular Immune System Interactions in Lung Cancer Treatment",

abstract = " We investigate a new mathematical model that describes lung cancer regression in patients treated by chemotherapy and radiotherapy. The model is composed of nonlinear integro-differential equations derived from the so-called kinetic theory for active particles and a new sink function is investigated according to clinical data from carcinoma planoepitheliale. The model equations are solved numerically and the data are utilized in order to find their unknown parameters. The results of the numerical experiments show a good correlation between the predicted and clinical data and illustrate that the mathematical model has potential to describe lung cancer regression.",

keywords = "Active particles, Carcinoma planoepitheliale, Kinetic theory, Numerical simulations",

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language = "American English",

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T1 - Numerical Simulations for Tumor and Cellular Immune System Interactions in Lung Cancer Treatment

AU - Kolev, M.

AU - Nawrocki, S.

AU - Zubik-Kowal, B.

PY - 2013/6

Y1 - 2013/6

N2 - We investigate a new mathematical model that describes lung cancer regression in patients treated by chemotherapy and radiotherapy. The model is composed of nonlinear integro-differential equations derived from the so-called kinetic theory for active particles and a new sink function is investigated according to clinical data from carcinoma planoepitheliale. The model equations are solved numerically and the data are utilized in order to find their unknown parameters. The results of the numerical experiments show a good correlation between the predicted and clinical data and illustrate that the mathematical model has potential to describe lung cancer regression.

AB - We investigate a new mathematical model that describes lung cancer regression in patients treated by chemotherapy and radiotherapy. The model is composed of nonlinear integro-differential equations derived from the so-called kinetic theory for active particles and a new sink function is investigated according to clinical data from carcinoma planoepitheliale. The model equations are solved numerically and the data are utilized in order to find their unknown parameters. The results of the numerical experiments show a good correlation between the predicted and clinical data and illustrate that the mathematical model has potential to describe lung cancer regression.

KW - Active particles

KW - Carcinoma planoepitheliale

KW - Kinetic theory

KW - Numerical simulations

UR - https://www.scopus.com/pages/publications/84872390748

UR - https://scholarworks.boisestate.edu/math_facpubs/106

U2 - 10.1016/j.cnsns.2012.10.011

DO - 10.1016/j.cnsns.2012.10.011

M3 - Article

SN - 1007-5704

VL - 18

SP - 1473

EP - 1480

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 6

ER -

Numerical Simulations for Tumor and Cellular Immune System Interactions in Lung Cancer Treatment

Abstract

Keywords

EGS Disciplines

UN SDGs

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