The Effect of Radiotherapy on Diffuse Low-Grade Gliomas Evolution: Confronting Theory with Clinical Data
Diffuse low-grade gliomas are slowly growing tumors that always recur after treatment. In this paper, we revisit the modeling of the evolution of the tumor radius before and after the radiotherapy process and propose a novel model that is simple yet biologically motivated and that remedies some shor...
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| Format: | Article |
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MDPI AG
2021-08-01
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| Series: | Journal of Personalized Medicine |
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| Online Access: | https://www.mdpi.com/2075-4426/11/8/818 |
| _version_ | 1797523278396391424 |
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| author | Léo Adenis Stéphane Plaszczynski Basile Grammaticos Johan Pallud Mathilde Badoual |
| author_facet | Léo Adenis Stéphane Plaszczynski Basile Grammaticos Johan Pallud Mathilde Badoual |
| author_sort | Léo Adenis |
| collection | DOAJ |
| description | Diffuse low-grade gliomas are slowly growing tumors that always recur after treatment. In this paper, we revisit the modeling of the evolution of the tumor radius before and after the radiotherapy process and propose a novel model that is simple yet biologically motivated and that remedies some shortcomings of previously proposed ones. We confront this with clinical data consisting of time series of tumor radii from 43 patient records by using a stochastic optimization technique and obtain very good fits in all cases. Since our model describes the evolution of a tumor from the very first glioma cell, it gives access to the possible age of the tumor. Using the technique of profile likelihood to extract all of the information from the data, we build confidence intervals for the tumor birth age and confirm the fact that low-grade gliomas seem to appear in the late teenage years. Moreover, an approximate analytical expression of the temporal evolution of the tumor radius allows us to explain the correlations observed in the data. |
| first_indexed | 2024-03-10T08:40:08Z |
| format | Article |
| id | doaj.art-8e99de347bc4440abbdca7755fc0abfd |
| institution | Directory Open Access Journal |
| issn | 2075-4426 |
| language | English |
| last_indexed | 2024-03-10T08:40:08Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Personalized Medicine |
| spelling | doaj.art-8e99de347bc4440abbdca7755fc0abfd2023-11-22T08:19:51ZengMDPI AGJournal of Personalized Medicine2075-44262021-08-0111881810.3390/jpm11080818The Effect of Radiotherapy on Diffuse Low-Grade Gliomas Evolution: Confronting Theory with Clinical DataLéo Adenis0Stéphane Plaszczynski1Basile Grammaticos2Johan Pallud3Mathilde Badoual4CNRS/IN2P3, IJCLab, Université Paris-Saclay, 91405 Orsay, FranceCNRS/IN2P3, IJCLab, Université Paris-Saclay, 91405 Orsay, FranceCNRS/IN2P3, IJCLab, Université Paris-Saclay, 91405 Orsay, FranceDepartment of Neurosurgery, GHU Paris, Sainte-Anne Hospital, 75014 Paris, FranceCNRS/IN2P3, IJCLab, Université Paris-Saclay, 91405 Orsay, FranceDiffuse low-grade gliomas are slowly growing tumors that always recur after treatment. In this paper, we revisit the modeling of the evolution of the tumor radius before and after the radiotherapy process and propose a novel model that is simple yet biologically motivated and that remedies some shortcomings of previously proposed ones. We confront this with clinical data consisting of time series of tumor radii from 43 patient records by using a stochastic optimization technique and obtain very good fits in all cases. Since our model describes the evolution of a tumor from the very first glioma cell, it gives access to the possible age of the tumor. Using the technique of profile likelihood to extract all of the information from the data, we build confidence intervals for the tumor birth age and confirm the fact that low-grade gliomas seem to appear in the late teenage years. Moreover, an approximate analytical expression of the temporal evolution of the tumor radius allows us to explain the correlations observed in the data.https://www.mdpi.com/2075-4426/11/8/818mathematical modelinggliomasradiotherapyoptimizationdata analysis |
| spellingShingle | Léo Adenis Stéphane Plaszczynski Basile Grammaticos Johan Pallud Mathilde Badoual The Effect of Radiotherapy on Diffuse Low-Grade Gliomas Evolution: Confronting Theory with Clinical Data Journal of Personalized Medicine mathematical modeling gliomas radiotherapy optimization data analysis |
| title | The Effect of Radiotherapy on Diffuse Low-Grade Gliomas Evolution: Confronting Theory with Clinical Data |
| title_full | The Effect of Radiotherapy on Diffuse Low-Grade Gliomas Evolution: Confronting Theory with Clinical Data |
| title_fullStr | The Effect of Radiotherapy on Diffuse Low-Grade Gliomas Evolution: Confronting Theory with Clinical Data |
| title_full_unstemmed | The Effect of Radiotherapy on Diffuse Low-Grade Gliomas Evolution: Confronting Theory with Clinical Data |
| title_short | The Effect of Radiotherapy on Diffuse Low-Grade Gliomas Evolution: Confronting Theory with Clinical Data |
| title_sort | effect of radiotherapy on diffuse low grade gliomas evolution confronting theory with clinical data |
| topic | mathematical modeling gliomas radiotherapy optimization data analysis |
| url | https://www.mdpi.com/2075-4426/11/8/818 |
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