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

Katedra Mechaniki i Inżynierii Obliczeniowej (RMT/RMT4)

Silesian University of Technology

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11 Cytowania z bazy Scopus

Abstrakt

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.

Język oryginału	angielski
Tytuł publikacji goszczącej	Computer Methods in Mechanics, CMM 2017
Podtytuł publikacji goszczącej	Proceedings of the 22nd International Conference on Computer Methods in Mechanics
Redaktorzy	Tadeusz Burczynski, Jaroslaw Latalski, Ewa-Blazik Borowa, Jerzy Podgorski, Jaroslaw Bec, Mieczyslaw Kuczma, Jerzy Warminski
Wydawca	American Institute of Physics Inc.
ISBN (elektroniczny)	9780735416147
Identyfikatory DOI	https://doi.org/10.1063/1.5019064
Status publikacji	Opublikowano - 5 sty 2018
Wydarzenie	22nd International Conference on Computer Methods in Mechanics, CMM 2017 - Lublin, Polska Czas trwania: 13 wrz 2017 → 16 wrz 2017

Seria publikacji

Nazwa	AIP Conference Proceedings
Tom	1922
ISSN (drukowany)	0094-243X
ISSN (elektroniczny)	1551-7616

Konferencja

Konferencja	22nd International Conference on Computer Methods in Mechanics, CMM 2017
Kraj/Terytorium	Polska
Miejscowość	Lublin
Okres	13/09/17 → 16/09/17

Cele SDG ONZ

Ten wynik przyczynia się do realizacji następujących celów zrównoważonego rozwoju

Cel 3 Dobre zdrowie i dobre samopoczucie

Obszary tematyczne ASJC Scopus

Ogólna fizyka i astronomia

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10.1063/1.5019064

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Cytowanie

Paruch, M., & Turchan, Ł. (2018). Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia. W T. Burczynski, J. Latalski, E.-B. Borowa, J. Podgorski, J. Bec, M. Kuczma, & J. Warminski (Red.), Computer Methods in Mechanics, CMM 2017: Proceedings of the 22nd International Conference on Computer Methods in Mechanics Artykułu 060003 (AIP Conference Proceedings; Tom 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. redaktor / Tadeusz Burczynski ; Jaroslaw Latalski ; Ewa-Blazik Borowa ; Jerzy Podgorski ; Jaroslaw Bec ; Mieczyslaw Kuczma ; Jerzy Warminski. American Institute of Physics Inc., 2018. (AIP Conference Proceedings).

@inproceedings{d4451e00c50e42438c298e15b7ef13b9,

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",

note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; 22nd International Conference on Computer Methods in Mechanics, CMM 2017 ; Conference date: 13-09-2017 Through 16-09-2017",

year = "2018",

month = jan,

day = "5",

doi = "10.1063/1.5019064",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Tadeusz Burczynski and Jaroslaw Latalski and Ewa-Blazik Borowa and Jerzy Podgorski and Jaroslaw Bec and Mieczyslaw Kuczma and Jerzy Warminski",

booktitle = "Computer Methods in Mechanics, CMM 2017",

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}

Paruch, M & Turchan, Ł 2018, Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia. w T Burczynski, J Latalski, E-B Borowa, J Podgorski, J Bec, M Kuczma & J Warminski (red), Computer Methods in Mechanics, CMM 2017: Proceedings of the 22nd International Conference on Computer Methods in Mechanics., 060003, AIP Conference Proceedings, tom 1922, American Institute of Physics Inc., 22nd International Conference on Computer Methods in Mechanics, CMM 2017, Lublin, Polska, 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. red. / 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; Tom 1922).

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

TY - GEN

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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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DO - 10.1063/1.5019064

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BT - Computer Methods in Mechanics, CMM 2017

A2 - Burczynski, Tadeusz

A2 - Latalski, Jaroslaw

A2 - Borowa, Ewa-Blazik

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Paruch M, Turchan Ł. Mathematical modelling of the destruction degree of cancer under the influence of a RF hyperthermia. W Burczynski T, Latalski J, Borowa EB, Podgorski J, Bec J, Kuczma M, Warminski J, redaktorzy, 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

Abstrakt

Seria publikacji

Konferencja

Cele SDG ONZ

Obszary tematyczne ASJC Scopus

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