Mathematical model for the thermal enhancement of radiation response: thermodynamic approach

Abstract Radiotherapy can effectively kill malignant cells, but the doses required to cure cancer patients may inflict severe collateral damage to adjacent healthy tissues. Recent technological advances in the clinical application has revitalized hyperthermia treatment (HT) as an option to improve r...

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Autores principales: Adriana M. De Mendoza, Soňa Michlíková, Johann Berger, Jens Karschau, Leoni A. Kunz-Schughart, Damian D. McLeod
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Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/70a7d2ae9c554e15b32ca8a80289d218
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spelling oai:doaj.org-article:70a7d2ae9c554e15b32ca8a80289d2182021-12-02T13:30:10ZMathematical model for the thermal enhancement of radiation response: thermodynamic approach10.1038/s41598-021-84620-z2045-2322https://doaj.org/article/70a7d2ae9c554e15b32ca8a80289d2182021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-84620-zhttps://doaj.org/toc/2045-2322Abstract Radiotherapy can effectively kill malignant cells, but the doses required to cure cancer patients may inflict severe collateral damage to adjacent healthy tissues. Recent technological advances in the clinical application has revitalized hyperthermia treatment (HT) as an option to improve radiotherapy (RT) outcomes. Understanding the synergistic effect of simultaneous thermoradiotherapy via mathematical modelling is essential for treatment planning. We here propose a theoretical model in which the thermal enhancement ratio (TER) relates to the cell fraction being radiosensitised by the infliction of sublethal damage through HT. Further damage finally kills the cell or abrogates its proliferative capacity in a non-reversible process. We suggest the TER to be proportional to the energy invested in the sensitisation, which is modelled as a simple rate process. Assuming protein denaturation as the main driver of HT-induced sublethal damage and considering the temperature dependence of the heat capacity of cellular proteins, the sensitisation rates were found to depend exponentially on temperature; in agreement with previous empirical observations. Our findings point towards an improved definition of thermal dose in concordance with the thermodynamics of protein denaturation. Our predictions well reproduce experimental in vitro and in vivo data, explaining the thermal modulation of cellular radioresponse for simultaneous thermoradiotherapy.Adriana M. De MendozaSoňa MichlíkováJohann BergerJens KarschauLeoni A. Kunz-SchughartDamian D. McLeodNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-14 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Adriana M. De Mendoza
Soňa Michlíková
Johann Berger
Jens Karschau
Leoni A. Kunz-Schughart
Damian D. McLeod
Mathematical model for the thermal enhancement of radiation response: thermodynamic approach
description Abstract Radiotherapy can effectively kill malignant cells, but the doses required to cure cancer patients may inflict severe collateral damage to adjacent healthy tissues. Recent technological advances in the clinical application has revitalized hyperthermia treatment (HT) as an option to improve radiotherapy (RT) outcomes. Understanding the synergistic effect of simultaneous thermoradiotherapy via mathematical modelling is essential for treatment planning. We here propose a theoretical model in which the thermal enhancement ratio (TER) relates to the cell fraction being radiosensitised by the infliction of sublethal damage through HT. Further damage finally kills the cell or abrogates its proliferative capacity in a non-reversible process. We suggest the TER to be proportional to the energy invested in the sensitisation, which is modelled as a simple rate process. Assuming protein denaturation as the main driver of HT-induced sublethal damage and considering the temperature dependence of the heat capacity of cellular proteins, the sensitisation rates were found to depend exponentially on temperature; in agreement with previous empirical observations. Our findings point towards an improved definition of thermal dose in concordance with the thermodynamics of protein denaturation. Our predictions well reproduce experimental in vitro and in vivo data, explaining the thermal modulation of cellular radioresponse for simultaneous thermoradiotherapy.
format article
author Adriana M. De Mendoza
Soňa Michlíková
Johann Berger
Jens Karschau
Leoni A. Kunz-Schughart
Damian D. McLeod
author_facet Adriana M. De Mendoza
Soňa Michlíková
Johann Berger
Jens Karschau
Leoni A. Kunz-Schughart
Damian D. McLeod
author_sort Adriana M. De Mendoza
title Mathematical model for the thermal enhancement of radiation response: thermodynamic approach
title_short Mathematical model for the thermal enhancement of radiation response: thermodynamic approach
title_full Mathematical model for the thermal enhancement of radiation response: thermodynamic approach
title_fullStr Mathematical model for the thermal enhancement of radiation response: thermodynamic approach
title_full_unstemmed Mathematical model for the thermal enhancement of radiation response: thermodynamic approach
title_sort mathematical model for the thermal enhancement of radiation response: thermodynamic approach
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/70a7d2ae9c554e15b32ca8a80289d218
work_keys_str_mv AT adrianamdemendoza mathematicalmodelforthethermalenhancementofradiationresponsethermodynamicapproach
AT sonamichlikova mathematicalmodelforthethermalenhancementofradiationresponsethermodynamicapproach
AT johannberger mathematicalmodelforthethermalenhancementofradiationresponsethermodynamicapproach
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AT leoniakunzschughart mathematicalmodelforthethermalenhancementofradiationresponsethermodynamicapproach
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