Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia

Marek Paruch; Łukasz Turchan

doi:10.1063/1.5019064

Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia

Marek Paruch
, Łukasz Turchan

Department of Computational Mechanics and Engineering (RMT/RMT4)

Silesian University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

11 Citations (Scopus)

Abstract

The article presents the mathematical modeling of the phenomenon of artificial hyperthermia which is caused by the interaction of an electric field. The electric field is induced by the applicator positioned within the biological tissue with cancer. In addition, in order to estimate the degree of tumor destruction under the influence of high temperature an Arrhenius integral has been used. The distribution of electric potential in the domain considered is described by the Laplace system of equations, while the temperature field is described by the Pennes system of equations. These problems are coupled by source function being the additional component in the Pennes equation and resulting from the electric field action. The boundary element method is applied to solve the coupled problem connected with the heating of biological tissues.

Original language	English
Title of host publication	Computer Methods in Mechanics, CMM 2017
Subtitle of host publication	Proceedings of the 22nd International Conference on Computer Methods in Mechanics
Editors	Tadeusz Burczynski, Jaroslaw Latalski, Ewa-Blazik Borowa, Jerzy Podgorski, Jaroslaw Bec, Mieczyslaw Kuczma, Jerzy Warminski
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735416147
DOIs	https://doi.org/10.1063/1.5019064
Publication status	Published - 5 Jan 2018
Event	22nd International Conference on Computer Methods in Mechanics, CMM 2017 - Lublin, Poland Duration: 13 Sept 2017 → 16 Sept 2017

Publication series

Name	AIP Conference Proceedings
Volume	1922
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	22nd International Conference on Computer Methods in Mechanics, CMM 2017
Country/Territory	Poland
City	Lublin
Period	13/09/17 → 16/09/17

UN SDGs

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

SDG 3 Good Health and Well-being

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/1.5019064

Cite this

Paruch, M., & Turchan, Ł. (2018). Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia. In T. Burczynski, J. Latalski, E.-B. Borowa, J. Podgorski, J. Bec, M. Kuczma, & J. Warminski (Eds.), Computer Methods in Mechanics, CMM 2017: Proceedings of the 22nd International Conference on Computer Methods in Mechanics Article 060003 (AIP Conference Proceedings; Vol. 1922). American Institute of Physics Inc.. https://doi.org/10.1063/1.5019064

Paruch, Marek ; Turchan, Łukasz. / Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia. Computer Methods in Mechanics, CMM 2017: Proceedings of the 22nd International Conference on Computer Methods in Mechanics. editor / Tadeusz Burczynski ; Jaroslaw Latalski ; Ewa-Blazik Borowa ; Jerzy Podgorski ; Jaroslaw Bec ; Mieczyslaw Kuczma ; Jerzy Warminski. American Institute of Physics Inc., 2018. (AIP Conference Proceedings).

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title = "Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia",

abstract = "The article presents the mathematical modeling of the phenomenon of artificial hyperthermia which is caused by the interaction of an electric field. The electric field is induced by the applicator positioned within the biological tissue with cancer. In addition, in order to estimate the degree of tumor destruction under the influence of high temperature an Arrhenius integral has been used. The distribution of electric potential in the domain considered is described by the Laplace system of equations, while the temperature field is described by the Pennes system of equations. These problems are coupled by source function being the additional component in the Pennes equation and resulting from the electric field action. The boundary element method is applied to solve the coupled problem connected with the heating of biological tissues.",

author = "Marek Paruch and {\L}ukasz Turchan",

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doi = "10.1063/1.5019064",

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publisher = "American Institute of Physics Inc.",

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Paruch, M & Turchan, Ł 2018, Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia. in T Burczynski, J Latalski, E-B Borowa, J Podgorski, J Bec, M Kuczma & J Warminski (eds), Computer Methods in Mechanics, CMM 2017: Proceedings of the 22nd International Conference on Computer Methods in Mechanics., 060003, AIP Conference Proceedings, vol. 1922, American Institute of Physics Inc., 22nd International Conference on Computer Methods in Mechanics, CMM 2017, Lublin, Poland, 13/09/17. https://doi.org/10.1063/1.5019064

Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia. / Paruch, Marek; Turchan, Łukasz.
Computer Methods in Mechanics, CMM 2017: Proceedings of the 22nd International Conference on Computer Methods in Mechanics. ed. / Tadeusz Burczynski; Jaroslaw Latalski; Ewa-Blazik Borowa; Jerzy Podgorski; Jaroslaw Bec; Mieczyslaw Kuczma; Jerzy Warminski. American Institute of Physics Inc., 2018. 060003 (AIP Conference Proceedings; Vol. 1922).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Paruch, Marek

AU - Turchan, Łukasz

PY - 2018/1/5

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N2 - The article presents the mathematical modeling of the phenomenon of artificial hyperthermia which is caused by the interaction of an electric field. The electric field is induced by the applicator positioned within the biological tissue with cancer. In addition, in order to estimate the degree of tumor destruction under the influence of high temperature an Arrhenius integral has been used. The distribution of electric potential in the domain considered is described by the Laplace system of equations, while the temperature field is described by the Pennes system of equations. These problems are coupled by source function being the additional component in the Pennes equation and resulting from the electric field action. The boundary element method is applied to solve the coupled problem connected with the heating of biological tissues.

AB - The article presents the mathematical modeling of the phenomenon of artificial hyperthermia which is caused by the interaction of an electric field. The electric field is induced by the applicator positioned within the biological tissue with cancer. In addition, in order to estimate the degree of tumor destruction under the influence of high temperature an Arrhenius integral has been used. The distribution of electric potential in the domain considered is described by the Laplace system of equations, while the temperature field is described by the Pennes system of equations. These problems are coupled by source function being the additional component in the Pennes equation and resulting from the electric field action. The boundary element method is applied to solve the coupled problem connected with the heating of biological tissues.

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M3 - Conference contribution

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BT - Computer Methods in Mechanics, CMM 2017

A2 - Burczynski, Tadeusz

A2 - Latalski, Jaroslaw

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Paruch M, Turchan Ł. Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia. In Burczynski T, Latalski J, Borowa EB, Podgorski J, Bec J, Kuczma M, Warminski J, editors, Computer Methods in Mechanics, CMM 2017: Proceedings of the 22nd International Conference on Computer Methods in Mechanics. American Institute of Physics Inc. 2018. 060003. (AIP Conference Proceedings). doi: 10.1063/1.5019064

Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia

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