Mathematical modeling of human glioma growth based on brain topological structures: study of two clinical cases.

Gliomas are the most common primary brain tumors and yet almost incurable due mainly to their great invasion capability. This represents a challenge to present clinical oncology. Here, we introduce a mathematical model aiming to improve tumor spreading capability definition. The model consists in a...

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Autores principales: Cecilia Suarez, Felipe Maglietti, Mario Colonna, Karina Breitburd, Guillermo Marshall
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Lenguaje:EN
Publicado: Public Library of Science (PLoS) 2012
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Acceso en línea:https://doaj.org/article/b985a8ba5a694fb682355e325a5fcbed
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spelling oai:doaj.org-article:b985a8ba5a694fb682355e325a5fcbed2021-11-18T07:14:07ZMathematical modeling of human glioma growth based on brain topological structures: study of two clinical cases.1932-620310.1371/journal.pone.0039616https://doaj.org/article/b985a8ba5a694fb682355e325a5fcbed2012-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/22761843/pdf/?tool=EBIhttps://doaj.org/toc/1932-6203Gliomas are the most common primary brain tumors and yet almost incurable due mainly to their great invasion capability. This represents a challenge to present clinical oncology. Here, we introduce a mathematical model aiming to improve tumor spreading capability definition. The model consists in a time dependent reaction-diffusion equation in a three-dimensional spatial domain that distinguishes between different brain topological structures. The model uses a series of digitized images from brain slices covering the whole human brain. The Talairach atlas included in the model describes brain structures at different levels. Also, the inclusion of the Brodmann areas allows prediction of the brain functions affected during tumor evolution and the estimation of correlated symptoms. The model is solved numerically using patient-specific parametrization and finite differences. Simulations consider an initial state with cellular proliferation alone (benign tumor), and an advanced state when infiltration starts (malign tumor). Survival time is estimated on the basis of tumor size and location. The model is used to predict tumor evolution in two clinical cases. In the first case, predictions show that real infiltrative areas are underestimated by current diagnostic imaging. In the second case, tumor spreading predictions were shown to be more accurate than those derived from previous models in the literature. Our results suggest that the inclusion of differential migration in glioma growth models constitutes another step towards a better prediction of tumor infiltration at the moment of surgical or radiosurgical target definition. Also, the addition of physiological/psychological considerations to classical anatomical models will provide a better and integral understanding of the patient disease at the moment of deciding therapeutic options, taking into account not only survival but also life quality.Cecilia SuarezFelipe MagliettiMario ColonnaKarina BreitburdGuillermo MarshallPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 7, Iss 6, p e39616 (2012)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Cecilia Suarez
Felipe Maglietti
Mario Colonna
Karina Breitburd
Guillermo Marshall
Mathematical modeling of human glioma growth based on brain topological structures: study of two clinical cases.
description Gliomas are the most common primary brain tumors and yet almost incurable due mainly to their great invasion capability. This represents a challenge to present clinical oncology. Here, we introduce a mathematical model aiming to improve tumor spreading capability definition. The model consists in a time dependent reaction-diffusion equation in a three-dimensional spatial domain that distinguishes between different brain topological structures. The model uses a series of digitized images from brain slices covering the whole human brain. The Talairach atlas included in the model describes brain structures at different levels. Also, the inclusion of the Brodmann areas allows prediction of the brain functions affected during tumor evolution and the estimation of correlated symptoms. The model is solved numerically using patient-specific parametrization and finite differences. Simulations consider an initial state with cellular proliferation alone (benign tumor), and an advanced state when infiltration starts (malign tumor). Survival time is estimated on the basis of tumor size and location. The model is used to predict tumor evolution in two clinical cases. In the first case, predictions show that real infiltrative areas are underestimated by current diagnostic imaging. In the second case, tumor spreading predictions were shown to be more accurate than those derived from previous models in the literature. Our results suggest that the inclusion of differential migration in glioma growth models constitutes another step towards a better prediction of tumor infiltration at the moment of surgical or radiosurgical target definition. Also, the addition of physiological/psychological considerations to classical anatomical models will provide a better and integral understanding of the patient disease at the moment of deciding therapeutic options, taking into account not only survival but also life quality.
format article
author Cecilia Suarez
Felipe Maglietti
Mario Colonna
Karina Breitburd
Guillermo Marshall
author_facet Cecilia Suarez
Felipe Maglietti
Mario Colonna
Karina Breitburd
Guillermo Marshall
author_sort Cecilia Suarez
title Mathematical modeling of human glioma growth based on brain topological structures: study of two clinical cases.
title_short Mathematical modeling of human glioma growth based on brain topological structures: study of two clinical cases.
title_full Mathematical modeling of human glioma growth based on brain topological structures: study of two clinical cases.
title_fullStr Mathematical modeling of human glioma growth based on brain topological structures: study of two clinical cases.
title_full_unstemmed Mathematical modeling of human glioma growth based on brain topological structures: study of two clinical cases.
title_sort mathematical modeling of human glioma growth based on brain topological structures: study of two clinical cases.
publisher Public Library of Science (PLoS)
publishDate 2012
url https://doaj.org/article/b985a8ba5a694fb682355e325a5fcbed
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