Cargando…

Mathematical Modeling of Breast Tumor Destruction Using Fast Heating during Radiofrequency Ablation

In oncology, hyperthermia is understood as a planned, controlled technique of heating cancerous changes in order to destroy their cells or stop their growth. In clinical practice, hyperthermia is used in combination with radiotherapy, chemotherapy, or immunological therapy. During the hyperthermia,...

Descripción completa

Detalles Bibliográficos
Autor principal: Paruch, Marek
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6982058/
https://www.ncbi.nlm.nih.gov/pubmed/31905651
http://dx.doi.org/10.3390/ma13010136
_version_ 1783491227714322432
author Paruch, Marek
author_facet Paruch, Marek
author_sort Paruch, Marek
collection PubMed
description In oncology, hyperthermia is understood as a planned, controlled technique of heating cancerous changes in order to destroy their cells or stop their growth. In clinical practice, hyperthermia is used in combination with radiotherapy, chemotherapy, or immunological therapy. During the hyperthermia, the tissue is typically exposed to a temperature in the range of 40–45 °C, the exception is thermoablation, during which the temperatures reach much higher values. Thermoablation is characterized by the use of high temperatures up to 90 °C. The electrode using the radiofrequency is inserted into the central area of the tumor. Interstitial thermoablation is used to treat, among others, breast and brain cancer. The therapy consists of inducing coagulation necrosis in an area that is heated to very high temperatures. Mathematical modeling is based on the use of a coupled thermo-electric model, in which the electric field is described by means of the Laplace equation, while the temperature field is based on the Pennes equation. Coupling occurs at the level of the additional source function in the Pennes equation. The temperature field obtained in this way makes it possible to calculate the Arrhenius integral as a determinant of the destruction of biological tissue. As a result of numerical calculations regarding the temperature field and the Arrhenius integral, it can be concluded that, with the help of numerical tools and mathematical modeling, one can simulate the process of destroying cancerous tissue.
format Online
Article
Text
id pubmed-6982058
institution National Center for Biotechnology Information
language English
publishDate 2019
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-69820582020-02-07 Mathematical Modeling of Breast Tumor Destruction Using Fast Heating during Radiofrequency Ablation Paruch, Marek Materials (Basel) Article In oncology, hyperthermia is understood as a planned, controlled technique of heating cancerous changes in order to destroy their cells or stop their growth. In clinical practice, hyperthermia is used in combination with radiotherapy, chemotherapy, or immunological therapy. During the hyperthermia, the tissue is typically exposed to a temperature in the range of 40–45 °C, the exception is thermoablation, during which the temperatures reach much higher values. Thermoablation is characterized by the use of high temperatures up to 90 °C. The electrode using the radiofrequency is inserted into the central area of the tumor. Interstitial thermoablation is used to treat, among others, breast and brain cancer. The therapy consists of inducing coagulation necrosis in an area that is heated to very high temperatures. Mathematical modeling is based on the use of a coupled thermo-electric model, in which the electric field is described by means of the Laplace equation, while the temperature field is based on the Pennes equation. Coupling occurs at the level of the additional source function in the Pennes equation. The temperature field obtained in this way makes it possible to calculate the Arrhenius integral as a determinant of the destruction of biological tissue. As a result of numerical calculations regarding the temperature field and the Arrhenius integral, it can be concluded that, with the help of numerical tools and mathematical modeling, one can simulate the process of destroying cancerous tissue. MDPI 2019-12-28 /pmc/articles/PMC6982058/ /pubmed/31905651 http://dx.doi.org/10.3390/ma13010136 Text en © 2019 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Paruch, Marek
Mathematical Modeling of Breast Tumor Destruction Using Fast Heating during Radiofrequency Ablation
title Mathematical Modeling of Breast Tumor Destruction Using Fast Heating during Radiofrequency Ablation
title_full Mathematical Modeling of Breast Tumor Destruction Using Fast Heating during Radiofrequency Ablation
title_fullStr Mathematical Modeling of Breast Tumor Destruction Using Fast Heating during Radiofrequency Ablation
title_full_unstemmed Mathematical Modeling of Breast Tumor Destruction Using Fast Heating during Radiofrequency Ablation
title_short Mathematical Modeling of Breast Tumor Destruction Using Fast Heating during Radiofrequency Ablation
title_sort mathematical modeling of breast tumor destruction using fast heating during radiofrequency ablation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6982058/
https://www.ncbi.nlm.nih.gov/pubmed/31905651
http://dx.doi.org/10.3390/ma13010136
work_keys_str_mv AT paruchmarek mathematicalmodelingofbreasttumordestructionusingfastheatingduringradiofrequencyablation