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

Autores
Suarez, C.; Maglietti, F.; Colonna, M.; Breitburd, K.; Marshall, G.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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. © 2012 Suarez et al.
Fil:Suarez, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
PLoS ONE 2012;7(6)
Materia
adult
advanced cancer
article
brain function
brain tissue
Broadmann areas
cancer invasion
case report
cell infiltration
cell migration
cell proliferation
controlled study
diagnostic accuracy
diffusion
evolution
glioma
human
human tissue
male
malignant neoplastic disease
mathematical model
nuclear magnetic resonance imaging
pathological anatomy
prediction
problem solving
simulation
survival time
symptomatology
Talairach atlas
three dimensional imaging
tumor growth
tumor localization
tumor volume
Adult
Brain Neoplasms
Computer Simulation
Disease Progression
Glioma
Humans
Male
Middle Aged
Models, Theoretical
Temporal Lobe
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_19326203_v7_n6_p_Suarez

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oai_identifier_str paperaa:paper_19326203_v7_n6_p_Suarez
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repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Mathematical modeling of human glioma growth based on brain topological structures: Study of two clinical casesSuarez, C.Maglietti, F.Colonna, M.Breitburd, K.Marshall, G.adultadvanced cancerarticlebrain functionbrain tissueBroadmann areascancer invasioncase reportcell infiltrationcell migrationcell proliferationcontrolled studydiagnostic accuracydiffusionevolutiongliomahumanhuman tissuemalemalignant neoplastic diseasemathematical modelnuclear magnetic resonance imagingpathological anatomypredictionproblem solvingsimulationsurvival timesymptomatologyTalairach atlasthree dimensional imagingtumor growthtumor localizationtumor volumeAdultBrain NeoplasmsComputer SimulationDisease ProgressionGliomaHumansMaleMiddle AgedModels, TheoreticalTemporal LobeGliomas 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. © 2012 Suarez et al.Fil:Suarez, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_19326203_v7_n6_p_SuarezPLoS ONE 2012;7(6)reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-11-06T09:39:32Zpaperaa:paper_19326203_v7_n6_p_SuarezInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-11-06 09:39:35.089Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Mathematical modeling of human glioma growth based on brain topological structures: Study of two clinical cases
title Mathematical modeling of human glioma growth based on brain topological structures: Study of two clinical cases
spellingShingle Mathematical modeling of human glioma growth based on brain topological structures: Study of two clinical cases
Suarez, C.
adult
advanced cancer
article
brain function
brain tissue
Broadmann areas
cancer invasion
case report
cell infiltration
cell migration
cell proliferation
controlled study
diagnostic accuracy
diffusion
evolution
glioma
human
human tissue
male
malignant neoplastic disease
mathematical model
nuclear magnetic resonance imaging
pathological anatomy
prediction
problem solving
simulation
survival time
symptomatology
Talairach atlas
three dimensional imaging
tumor growth
tumor localization
tumor volume
Adult
Brain Neoplasms
Computer Simulation
Disease Progression
Glioma
Humans
Male
Middle Aged
Models, Theoretical
Temporal Lobe
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
dc.creator.none.fl_str_mv Suarez, C.
Maglietti, F.
Colonna, M.
Breitburd, K.
Marshall, G.
author Suarez, C.
author_facet Suarez, C.
Maglietti, F.
Colonna, M.
Breitburd, K.
Marshall, G.
author_role author
author2 Maglietti, F.
Colonna, M.
Breitburd, K.
Marshall, G.
author2_role author
author
author
author
dc.subject.none.fl_str_mv adult
advanced cancer
article
brain function
brain tissue
Broadmann areas
cancer invasion
case report
cell infiltration
cell migration
cell proliferation
controlled study
diagnostic accuracy
diffusion
evolution
glioma
human
human tissue
male
malignant neoplastic disease
mathematical model
nuclear magnetic resonance imaging
pathological anatomy
prediction
problem solving
simulation
survival time
symptomatology
Talairach atlas
three dimensional imaging
tumor growth
tumor localization
tumor volume
Adult
Brain Neoplasms
Computer Simulation
Disease Progression
Glioma
Humans
Male
Middle Aged
Models, Theoretical
Temporal Lobe
topic adult
advanced cancer
article
brain function
brain tissue
Broadmann areas
cancer invasion
case report
cell infiltration
cell migration
cell proliferation
controlled study
diagnostic accuracy
diffusion
evolution
glioma
human
human tissue
male
malignant neoplastic disease
mathematical model
nuclear magnetic resonance imaging
pathological anatomy
prediction
problem solving
simulation
survival time
symptomatology
Talairach atlas
three dimensional imaging
tumor growth
tumor localization
tumor volume
Adult
Brain Neoplasms
Computer Simulation
Disease Progression
Glioma
Humans
Male
Middle Aged
Models, Theoretical
Temporal Lobe
dc.description.none.fl_txt_mv 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. © 2012 Suarez et al.
Fil:Suarez, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
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. © 2012 Suarez et al.
publishDate 2012
dc.date.none.fl_str_mv 2012
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_19326203_v7_n6_p_Suarez
url http://hdl.handle.net/20.500.12110/paper_19326203_v7_n6_p_Suarez
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv PLoS ONE 2012;7(6)
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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