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Modeling Cell Reactions to Ionizing Radiation: From a Lesion to a Cancer
This article focuses on the analytic modeling of responses of cells in the body to ionizing radiation. The related mechanisms are consecutively taken into account and discussed. A model of the dose- and time-dependent adaptive response is considered for 2 exposure categories: acute and protracted. I...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
SAGE Publications
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6454661/ https://www.ncbi.nlm.nih.gov/pubmed/31001068 http://dx.doi.org/10.1177/1559325819838434 |
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author | Dobrzyński, L. Fornalski, K. W. Reszczyńska, J. Janiak, M. K. |
author_facet | Dobrzyński, L. Fornalski, K. W. Reszczyńska, J. Janiak, M. K. |
author_sort | Dobrzyński, L. |
collection | PubMed |
description | This article focuses on the analytic modeling of responses of cells in the body to ionizing radiation. The related mechanisms are consecutively taken into account and discussed. A model of the dose- and time-dependent adaptive response is considered for 2 exposure categories: acute and protracted. In case of the latter exposure, we demonstrate that the response plateaus are expected under the modelling assumptions made. The expected total number of cancer cells as a function of time turns out to be perfectly described by the Gompertz function. The transition from a collection of cancer cells into a tumor is discussed at length. Special emphasis is put on the fact that characterizing the growth of a tumor (ie, the increasing mass and volume), the use of differential equations cannot properly capture the key dynamics—formation of the tumor must exhibit properties of the phase transition, including self-organization and even self-organized criticality. As an example, a manageable percolation-type phase transition approach is used to address this problem. Nevertheless, general theory of tumor emergence is difficult to work out mathematically because experimental observations are limited to the relatively large tumors. Hence, determination of the conditions around the critical point is uncertain. |
format | Online Article Text |
id | pubmed-6454661 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | SAGE Publications |
record_format | MEDLINE/PubMed |
spelling | pubmed-64546612019-04-18 Modeling Cell Reactions to Ionizing Radiation: From a Lesion to a Cancer Dobrzyński, L. Fornalski, K. W. Reszczyńska, J. Janiak, M. K. Dose Response Potential Clinical Implication of LDR Hormesis and Adaptive Response This article focuses on the analytic modeling of responses of cells in the body to ionizing radiation. The related mechanisms are consecutively taken into account and discussed. A model of the dose- and time-dependent adaptive response is considered for 2 exposure categories: acute and protracted. In case of the latter exposure, we demonstrate that the response plateaus are expected under the modelling assumptions made. The expected total number of cancer cells as a function of time turns out to be perfectly described by the Gompertz function. The transition from a collection of cancer cells into a tumor is discussed at length. Special emphasis is put on the fact that characterizing the growth of a tumor (ie, the increasing mass and volume), the use of differential equations cannot properly capture the key dynamics—formation of the tumor must exhibit properties of the phase transition, including self-organization and even self-organized criticality. As an example, a manageable percolation-type phase transition approach is used to address this problem. Nevertheless, general theory of tumor emergence is difficult to work out mathematically because experimental observations are limited to the relatively large tumors. Hence, determination of the conditions around the critical point is uncertain. SAGE Publications 2019-04-07 /pmc/articles/PMC6454661/ /pubmed/31001068 http://dx.doi.org/10.1177/1559325819838434 Text en © The Author(s) 2019 http://creativecommons.org/licenses/by-nc/4.0/ This article is distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 License (http://www.creativecommons.org/licenses/by-nc/4.0/) which permits non-commercial use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access pages (https://us.sagepub.com/en-us/nam/open-access-at-sage). |
spellingShingle | Potential Clinical Implication of LDR Hormesis and Adaptive Response Dobrzyński, L. Fornalski, K. W. Reszczyńska, J. Janiak, M. K. Modeling Cell Reactions to Ionizing Radiation: From a Lesion to a Cancer |
title | Modeling Cell Reactions to Ionizing Radiation: From a Lesion to a
Cancer |
title_full | Modeling Cell Reactions to Ionizing Radiation: From a Lesion to a
Cancer |
title_fullStr | Modeling Cell Reactions to Ionizing Radiation: From a Lesion to a
Cancer |
title_full_unstemmed | Modeling Cell Reactions to Ionizing Radiation: From a Lesion to a
Cancer |
title_short | Modeling Cell Reactions to Ionizing Radiation: From a Lesion to a
Cancer |
title_sort | modeling cell reactions to ionizing radiation: from a lesion to a
cancer |
topic | Potential Clinical Implication of LDR Hormesis and Adaptive Response |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6454661/ https://www.ncbi.nlm.nih.gov/pubmed/31001068 http://dx.doi.org/10.1177/1559325819838434 |
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