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Modélisation et simulation de la croissance de métastases pulmonaires

Author: Julien JouganousOlivier SautBertrand MauryHervé DelingetteBenoît PerthameAll authors
Publisher: 2015.
Dissertation: Thèse de doctorat : Mathématiques appliquées et calcul scientifique : Bordeaux : 2015.
Edition/Format:   Computer file : Document : Thesis/dissertation : French
Summary:
Cette thèse présente des travaux de modélisation mathématique de la croissance tumorale appliqués aux cas de métastases pulmonaires.La première partie de cette thèse décrit un premier modèle d'équations aux dérivées partielles permettant de simuler la croissance métastatique mais aussi la réponse de la tumeur à certains types de traitements. Une méthode de calibration du modèle à partir de
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Details

Genre/Form: Thèses et écrits académiques
Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Julien Jouganous; Olivier Saut; Bertrand Maury; Hervé Delingette; Benoît Perthame; Thierry Colin; Université de Bordeaux (2014-....).; École doctorale de mathématiques et informatique (Talence, Gironde).; Institut de mathématiques de Bordeaux.
OCLC Number: 927190785
Notes: Titre provenant de l'écran-titre.
Description: 1 online resource
Responsibility: Julien Jouganous ; sous la direction de Olivier Saut.

Abstract:

Cette thèse présente des travaux de modélisation mathématique de la croissance tumorale appliqués aux cas de métastases pulmonaires.La première partie de cette thèse décrit un premier modèle d'équations aux dérivées partielles permettant de simuler la croissance métastatique mais aussi la réponse de la tumeur à certains types de traitements. Une méthode de calibration du modèle à partir de données cliniques issues de l'imagerie médicale est développée et testée sur plusieurs cas cliniques.La deuxième partie de ces travaux introduit une simplification du modèle et de l'algorithme de calibration. Cette méthode, plus robuste, est testée sur un panel de 36 cas test et les résultats sont présentés dans le troisième chapitre. La quatrième et dernière partie développe un algorithme d'apprentissage automatisé permettant de tenir compte de données supplémentaires à celles utilisées par le modèle afin d'affiner l'étape de calibration.

This thesis deals with mathematical modeling and simulation of lung metastases growth.We first present a partial differential equations model to simulate the growth and possibly the response to some types of treatments of metastases to the lung. This model must be personalized to be used individually on clinical cases. Consequently, we developed a calibration technic based on medical images of the tumor. Several applications on clinical cases are presented.Then we introduce a simplification of the first model and the calibration algorithm. This new method, more robust, is tested on 36 clinical cases. The results are presented in the third chapter. To finish, a machine learning algorithm.

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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/927190785<\/a>> # Mod\u00E9lisation et simulation de la croissance de m\u00E9tastases pulmonaires<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a>, schema:MediaObject<\/a>, bgn:ComputerFile<\/a>, bgn:Thesis<\/a> ;\u00A0\u00A0\u00A0\nbgn:inSupportOf<\/a> \"Th\u00E8se de doctorat : Math\u00E9matiques appliqu\u00E9es et calcul scientifique : Bordeaux : 2015.<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"927190785<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/fr<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Topic\/modeles_mathematiques<\/a>> ; # Mod\u00E8les math\u00E9matiques<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Topic\/simulation_par_ordinateur<\/a>> ; # Simulation par ordinateur<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Thing\/simulation_numerique<\/a>> ; # Simulation num\u00E9rique<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Thing\/metastase_pulmonaire<\/a>> ; # M\u00E9tastase pulmonaire<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Thing\/cancer<\/a>> ; # Cancer<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Thing\/forets_aleatoires<\/a>> ; # For\u00EAts al\u00E9atoires<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Thing\/modelisation<\/a>> ; # Mod\u00E9lisation<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Topic\/cellules_cancereuses_croissance<\/a>> ; # Cellules canc\u00E9reuses--Croissance<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Thing\/apprentissage_automatise<\/a>> ; # Apprentissage automatis\u00E9<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Thing\/croissance_tumorale<\/a>> ; # Croissance tumorale<\/span>\n\u00A0\u00A0\u00A0\nschema:author<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Person\/jouganous_julien_1989<\/a>> ; # Julien Jouganous<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Organization\/universite_de_bordeaux_2014<\/a>> ; # Universit\u00E9 de Bordeaux (2014-....).<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Person\/delingette_herve<\/a>> ; # Herv\u00E9 Delingette<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Person\/perthame_benoit_1959<\/a>> ; # Beno\u00EEt Perthame<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Person\/saut_olivier_1976<\/a>> ; # Olivier Saut<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Organization\/institut_de_mathematiques_de_bordeaux<\/a>> ; # Institut de math\u00E9matiques de Bordeaux.<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Organization\/ecole_doctorale_de_mathematiques_et_informatique_talence_gironde<\/a>> ; # \u00C9cole doctorale de math\u00E9matiques et informatique (Talence, Gironde).<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Person\/maury_bertrand_1968<\/a>> ; # Bertrand Maury<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Person\/colin_thierry_1968<\/a>> ; # Thierry Colin<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2015<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Cette th\u00E8se pr\u00E9sente des travaux de mod\u00E9lisation math\u00E9matique de la croissance tumorale appliqu\u00E9s aux cas de m\u00E9tastases pulmonaires.La premi\u00E8re partie de cette th\u00E8se d\u00E9crit un premier mod\u00E8le d\'\u00E9quations aux d\u00E9riv\u00E9es partielles permettant de simuler la croissance m\u00E9tastatique mais aussi la r\u00E9ponse de la tumeur \u00E0 certains types de traitements. Une m\u00E9thode de calibration du mod\u00E8le \u00E0 partir de donn\u00E9es cliniques issues de l\'imagerie m\u00E9dicale est d\u00E9velopp\u00E9e et test\u00E9e sur plusieurs cas cliniques.La deuxi\u00E8me partie de ces travaux introduit une simplification du mod\u00E8le et de l\'algorithme de calibration. Cette m\u00E9thode, plus robuste, est test\u00E9e sur un panel de 36 cas test et les r\u00E9sultats sont pr\u00E9sent\u00E9s dans le troisi\u00E8me chapitre. La quatri\u00E8me et derni\u00E8re partie d\u00E9veloppe un algorithme d\'apprentissage automatis\u00E9 permettant de tenir compte de donn\u00E9es suppl\u00E9mentaires \u00E0 celles utilis\u00E9es par le mod\u00E8le afin d\'affiner l\'\u00E9tape de calibration.<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"This thesis deals with mathematical modeling and simulation of lung metastases growth.We first present a partial differential equations model to simulate the growth and possibly the response to some types of treatments of metastases to the lung. This model must be personalized to be used individually on clinical cases. Consequently, we developed a calibration technic based on medical images of the tumor. Several applications on clinical cases are presented.Then we introduce a simplification of the first model and the calibration algorithm. This new method, more robust, is tested on 36 clinical cases. The results are presented in the third chapter. 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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Organization\/institut_de_mathematiques_de_bordeaux<\/a>> # Institut de math\u00E9matiques de Bordeaux.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Organization<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Institut de math\u00E9matiques de Bordeaux.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Organization\/universite_de_bordeaux_2014<\/a>> # Universit\u00E9 de Bordeaux (2014-....).<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Organization<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Universit\u00E9 de Bordeaux (2014-....).<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Person\/colin_thierry_1968<\/a>> # Thierry Colin<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1968<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Colin<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Thierry<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Thierry Colin<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Person\/delingette_herve<\/a>> # Herv\u00E9 Delingette<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Delingette<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Herv\u00E9<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Herv\u00E9 Delingette<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Thing\/apprentissage_automatise<\/a>> # Apprentissage automatis\u00E9<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Apprentissage automatis\u00E9<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Thing\/metastase_pulmonaire<\/a>> # M\u00E9tastase pulmonaire<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"M\u00E9tastase pulmonaire<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Thing\/modelisation<\/a>> # Mod\u00E9lisation<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mod\u00E9lisation<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/2782168963#Topic\/simulation_par_ordinateur<\/a>> # Simulation par ordinateur<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Simulation par ordinateur<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/fr<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"fr<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.theses.fr\/2015BORD0154\/document<\/a>>\u00A0\u00A0\u00A0\nrdfs:comment<\/a> \"Acc\u00E8s au texte int\u00E9gral<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/927190785<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/927190785<\/a>> ; # Mod\u00E9lisation et simulation de la croissance de m\u00E9tastases pulmonaires<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2020-10-06<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Content-negotiable representations<\/p>\n