Introdução: A utilização da técnica endovascular para tratar as diversas afecções da aorta têm suplantado as técnicas abertas tradicionais, sendo particularmente promissora no trauma 1. A ruptura traumática da aorta é a segunda causa de morte por acidente de trânsito 2,3; e o reparo endoluminal dessas lesões com endopróteses apresenta menor taxa de mortalidade e paraplegia quando comparada a cirurgia aberta, no entanto os resultados a longo prazo ainda não estão disponíveis2-7. As próteses aprovadas e comercialmente disponíveis, até o momento desse estudo, foram desenhadas para doença aneurismática, com diâmetro muito superior ao diâmetro da aorta de jovens (vítimas de trauma). Esse sobredimensionamento (oversizing) pode levar a alteração mecânica na interação da prótese com a parede aórtica, comprometendo a vascularização e aumento o risco de complicações relacionadas ao implante de endopróteses 8-12. Objetivos: Analisar, a partir de um modelo animal experimental, o efeito biomecânico e histopatológico de quatro níveis diferentes de sobredimensionamento de endopróteses sobre a aorta não aterosclerótica, semelhante às encontradas em pacientes jovens vítimas de trauma. Método: O diâmetro da aorta torácica suína é semelhante ao da aorta de jovens adultos (18-20 mm), desta forma 25 porcos foram randomizados em 5 grupos: 1 controle (sem stent) e 4 grupos de sobredimensionamento (A: 10% -19 %, B: 20% -29%, C: 30% -39%, e D: >40% de sobredimensionamento). Dois tipos de testes biomecânicos foram realizados em todas as aortas 4 semanas após a implantação da endoprótese: \" z\" endoprótese; e o teste de biomecânica propriamente dito dos fragmentos aórticos coletados. Os fragmentos foram, então, submetidos a uma análise histológica e imunohistoquímica. Resultados: Os resultados do teste de destacamento, que avaliou a força necessária para remover o stent da aorta, foram semelhantes nos quatro grupos (A: 42 N, B: 41 N, C: 46 N e D: 46 N, p= 0,881204). O segundo teste foi realizado em três segmentos da aorta. Força máxima, estresse máximo e tensão máxima suportada pela parede da aorta tiveram uma correlação negativa e linear com o oversizing, isto é, quanto maior o oversizing, menor a resistência do fragmento à ruptura. Houve diferenças significativas em todos os quatro grupos, quando comparados com o grupo controle. A deformação máxima e o Strain, que refletem as propriedades elásticas da parede da aorta, foram muito semelhantes em todos os quatro grupos de sobredimensionamento. Mas, uma diminuição significativa da elasticidade foi encontrada quando comparados cada um dos grupos com o grupo controle (p= 0,0000001). A análise histológica e imunohistoquímica demonstrou que a parede da aorta tem uma perda significativa de fibras musculares e ?-actina com o aumento do sobredimensionamento (p= 0,000198 e p= 0,002031, respectivamente). A quantidade de fibra elástica apresentou uma queda significativa independente do sobredimensionamento (p= 0,0000001). Conclusões: Os quatro níveis de sobredimensionamento estudados não demonstraram diferenças significativas no teste de destacamento. Os testes biomecânicos dos fragmentos da aorta mostraram uma diminuição na resistência da parede aórtica proporcional ao aumento do oversizing. A elasticidade da parede aórtica sofre alteração significativa independente do sobredimensionamento utilizado. Os exames histopatológicos e imunohistoquímicos comprovaram o desarranjo na estrutura da parede aórtica com a utilização de endopróteses, resultando na diminuição da quantidade de fibras elásticas e musculares / Introduction: The use of endovascular techniques to treat the various disorders of the aorta has supplanted traditional open techniques, and is particularly promising in trauma1. The traumatic rupture of the aorta is the second leading cause of death by traffic accident2, 3, and repair of these lesions with endoluminal stents has showed lower mortality and paraplegia when compared to open surgery, however the long-term results are not yet available2-7. The endoprosthesis approved and commercially available during this study were designed to aneurysmal disease, with a diameter greater than the diameter of the aorta of young people ( ) \" z \" prosthesis with the aortic wall, affecting the vascularization and raising the risk of complications related to stent-graft implantation8-12. Purpose: Analyze, from an experimental animal model, the biomechanical and histological effects of four different levels of stents-graft oversizing in non-atherosclerotic aortas; such as those aorta found in young individuals who undergo stent-graft repair for traumatic aortic injuries. Methods: The diameter of the porcine thoracic aorta is similar to the aorta of young adults (18-20 mm), so 25 pigs were randomized into 5 groups: 1 control (without stent-graft) and 4 oversizing groups (A: 10%-19%, B: 20%-29%, C: 30%-39%, and D: .40%). Two types of biomechanical tests were performed on all aortas 4 weeks after endoprosthesis deployment: The \"detachment\" of the stent, and the biomechanics test of aortic fragments collected. The fragments were submitted to a histological and an immunohistochemistry analysis. Results: The results of the detachment test, which analyzed the strength necessary to remove the stent-graft from the aorta, were similar in the 4 groups (A: 42 N, B: 41 N, C: 46 N e D: 46 N, p= 0,881204). The second test was performed in 3 aortic segments. Maximum strength, maximum stress, and maximum tension supported by the aortic wall had a negative and linear correlation with oversizing. There were significant differences in all 4 groups when compared with the control group. The maximum deformation and strain, which reflect the elastic properties of the aortic wall, were very similar in all 4 groups. But a significant decrease in elasticity was found when compared each group with the control group (p = 0.0000001). Histological and immunohistochemistry analysis supported that the aortic wall has a signifi-?-actin by increasing the oversize (p = 0.000198 p = 0.002031, respectively). The amount of elastic fiber showed a significant drop regardless of the oversizing (p = 0.0000001). Conclusion: The four levels of oversizing studied did not show significant differences in the detachment test. Biomechanical tests of the fragments of the aorta showed a decrease in resistance of the aortic wall with increase in oversize. The elasticity of the aortic wall undergoes significant change independent of the oversizing used. The histopathological and immunohistochemical examinations confirmed the breakdown in the structure of the aortic wall with the use of stents-graft, resulting in decreased amount of elastic and muscle fibers.

Introdução: A utilização da técnica endovascular para tratar as diversas afecções da aorta têm suplantado as técnicas abertas tradicionais, sendo particularmente promissora no trauma 1. A ruptura traumática da aorta é a segunda causa de morte por acidente de trânsito 2,3; e o reparo endoluminal dessas lesões com endopróteses apresenta menor taxa de mortalidade e paraplegia quando comparada a cirurgia aberta, no entanto os resultados a longo prazo ainda não estão disponíveis2-7. As próteses aprovadas e comercialmente disponíveis, até o momento desse estudo, foram desenhadas para doença aneurismática, com diâmetro muito superior ao diâmetro da aorta de jovens (vítimas de trauma). Esse sobredimensionamento (oversizing) pode levar a alteração mecânica na interação da prótese com a parede aórtica, comprometendo a vascularização e aumento o risco de complicações relacionadas ao implante de endopróteses 8-12. Objetivos: Analisar, a partir de um modelo animal experimental, o efeito biomecânico e histopatológico de quatro níveis diferentes de sobredimensionamento de endopróteses sobre a aorta não aterosclerótica, semelhante às encontradas em pacientes jovens vítimas de trauma. Método: O diâmetro da aorta torácica suína é semelhante ao da aorta de jovens adultos (18-20 mm), desta forma 25 porcos foram randomizados em 5 grupos: 1 controle (sem stent) e 4 grupos de sobredimensionamento (A: 10% -19 %, B: 20% -29%, C: 30% -39%, e D: >40% de sobredimensionamento). Dois tipos de testes biomecânicos foram realizados em todas as aortas 4 semanas após a implantação da endoprótese: \" z\" endoprótese; e o teste de biomecânica propriamente dito dos fragmentos aórticos coletados. Os fragmentos foram, então, submetidos a uma análise histológica e imunohistoquímica. Resultados: Os resultados do teste de destacamento, que avaliou a força necessária para remover o stent da aorta, foram semelhantes nos quatro grupos (A: 42 N, B: 41 N, C: 46 N e D: 46 N, p= 0,881204). O segundo teste foi realizado em três segmentos da aorta. Força máxima, estresse máximo e tensão máxima suportada pela parede da aorta tiveram uma correlação negativa e linear com o oversizing, isto é, quanto maior o oversizing, menor a resistência do fragmento à ruptura. Houve diferenças significativas em todos os quatro grupos, quando comparados com o grupo controle. A deformação máxima e o Strain, que refletem as propriedades elásticas da parede da aorta, foram muito semelhantes em todos os quatro grupos de sobredimensionamento. Mas, uma diminuição significativa da elasticidade foi encontrada quando comparados cada um dos grupos com o grupo controle (p= 0,0000001). A análise histológica e imunohistoquímica demonstrou que a parede da aorta tem uma perda significativa de fibras musculares e ?-actina com o aumento do sobredimensionamento (p= 0,000198 e p= 0,002031, respectivamente). A quantidade de fibra elástica apresentou uma queda significativa independente do sobredimensionamento (p= 0,0000001). Conclusões: Os quatro níveis de sobredimensionamento estudados não demonstraram diferenças significativas no teste de destacamento. Os testes biomecânicos dos fragmentos da aorta mostraram uma diminuição na resistência da parede aórtica proporcional ao aumento do oversizing. A elasticidade da parede aórtica sofre alteração significativa independente do sobredimensionamento utilizado. Os exames histopatológicos e imunohistoquímicos comprovaram o desarranjo na estrutura da parede aórtica com a utilização de endopróteses, resultando na diminuição da quantidade de fibras elásticas e musculares / Introduction: The use of endovascular techniques to treat the various disorders of the aorta has supplanted traditional open techniques, and is particularly promising in trauma1. The traumatic rupture of the aorta is the second leading cause of death by traffic accident2, 3, and repair of these lesions with endoluminal stents has showed lower mortality and paraplegia when compared to open surgery, however the long-term results are not yet available2-7. The endoprosthesis approved and commercially available during this study were designed to aneurysmal disease, with a diameter greater than the diameter of the aorta of young people ( ) \" z \" prosthesis with the aortic wall, affecting the vascularization and raising the risk of complications related to stent-graft implantation8-12. Purpose: Analyze, from an experimental animal model, the biomechanical and histological effects of four different levels of stents-graft oversizing in non-atherosclerotic aortas; such as those aorta found in young individuals who undergo stent-graft repair for traumatic aortic injuries. Methods: The diameter of the porcine thoracic aorta is similar to the aorta of young adults (18-20 mm), so 25 pigs were randomized into 5 groups: 1 control (without stent-graft) and 4 oversizing groups (A: 10%-19%, B: 20%-29%, C: 30%-39%, and D: .40%). Two types of biomechanical tests were performed on all aortas 4 weeks after endoprosthesis deployment: The \"detachment\" of the stent, and the biomechanics test of aortic fragments collected. The fragments were submitted to a histological and an immunohistochemistry analysis. Results: The results of the detachment test, which analyzed the strength necessary to remove the stent-graft from the aorta, were similar in the 4 groups (A: 42 N, B: 41 N, C: 46 N e D: 46 N, p= 0,881204). The second test was performed in 3 aortic segments. Maximum strength, maximum stress, and maximum tension supported by the aortic wall had a negative and linear correlation with oversizing. There were significant differences in all 4 groups when compared with the control group. The maximum deformation and strain, which reflect the elastic properties of the aortic wall, were very similar in all 4 groups. But a significant decrease in elasticity was found when compared each group with the control group (p = 0.0000001). Histological and immunohistochemistry analysis supported that the aortic wall has a signifi-?-actin by increasing the oversize (p = 0.000198 p = 0.002031, respectively). The amount of elastic fiber showed a significant drop regardless of the oversizing (p = 0.0000001). Conclusion: The four levels of oversizing studied did not show significant differences in the detachment test. Biomechanical tests of the fragments of the aorta showed a decrease in resistance of the aortic wall with increase in oversize. The elasticity of the aortic wall undergoes significant change independent of the oversizing used. The histopathological and immunohistochemical examinations confirmed the breakdown in the structure of the aortic wall with the use of stents-graft, resulting in decreased amount of elastic and muscle fibers.

Introdução - Os custos para o tratamento da doença arterial coronariana (DAC) são altos em todo o mundo. Foi realizada uma análise post hoc de custo-efetividade de três estratégias terapêuticas para DAC multiarterial. Métodos - De maio de 1995 a maio de 2000, um total de 611 pacientes foram aleatoriamente designados para CRM (n = 203), ICP (n = 205) ou TM (n = 203). Este estudo de análise de custos baseou-se na perspectiva do Sistema Público de Saúde. Os custos iniciais de procedimentos e acompanhamento de medicamentos, exames cardiológicos e hospitalizações por complicações foram calculados após a randomização. Anos de vida e anos de vida ajustados pela qualidade (QALY) foram usados como medidas de eficácia. As razões de custo-efetividade incremental (RCEI) foram obtidas usando métodos de bootstrap não paramétricos com 5.000 replicações. Resultados - Os custos iniciais do procedimento foram menores para o TM. No entanto, os custos acumulados de 5 anos foram menores para a CRM. Em comparação com a linha de base, as 3 opções de tratamento produziram melhorias significativas no QALY. Após 5 anos, a ICP e a CRM tiveram melhores resultados de QALY em comparação com o TM. Os resultados da RCEI favoreceram a CRM e a ICP quando comparadas ao TM, já a ICP em relação à CRM foi mais custo-efetiva em 61% para limiares até 3 PIB per capita por QALY. Por outro lado, a análise de sensibilidade mostrou o TM como a terapia preferida em comparação com a CRM e ICP, na análise considerando custos mais elevados. Conclusão - No seguimento de 5 anos, a ICP e CRM mostraram ser os tratamentos com QALYs cumulativos mais altos entre pacientes com DAC multiarterial quando comparados com TM. Além disso, apesar dos custos iniciais serem mais elevados, a comparação de custo-efetividade após 5 anos de acompanhamento entre os 3 tratamentos mostrou que ambas as intervenções (CRM e ICP) são estratégias custo-efetivas em comparação com a TM / Background. The costs for treating coronary artery disease (CAD) are high worldwide. We performed a post hoc analysis of cost-effectiveness of 3 therapeutic strategies for multivessel CAD. Methods. From May 1995 to May 2000, a total of 611 patients were randomly assigned to CABG (n=203), PCI (n=205), or MT (n=203). This cost analysis study was based on the perspective of the Public Health Care System. Initial procedural and follow-up costs for medications, cardiology examinations, and hospitalizations for complications were calculated after randomization. Life-years and quality-adjusted life years (QALY) were used as effectiveness measures. Incremental cost-effectiveness ratios (ICER) were obtained by using nonparametric bootstrapping methods with 5000 resamples. Results. Initial procedural costs were lower for MT. However, the subsequent 5-year cumulative costs were lower for CABG. Compared with baseline, the 3 treatment options produced significant improvements in QALY. After 5 years, PCI and CABG had better QALY results compared with MT. The ICER results favored CRM and PCI when compared to the TM, since the PCI in relation to the CRM was more costeffective in 61% for the thresholds up to 3 GDP per capita per QALY. On the other hand, sensitivity analysis showed MT as the preferred therapy compared with CABG and PCI, in the analysis considering higher costs. Conclusion. At 5-year follow-up, the 3 treatment options yielded improvements in quality of life, with comparable and acceptable costs. However, despite higher initial costs, the comparison of costeffectiveness after 5 years of follow-up among the 3 treatments showed both interventions (CABG and PCI) to be cost-effective strategies compared with MT

Introdução - Os custos para o tratamento da doença arterial coronariana (DAC) são altos em todo o mundo. Foi realizada uma análise post hoc de custo-efetividade de três estratégias terapêuticas para DAC multiarterial. Métodos - De maio de 1995 a maio de 2000, um total de 611 pacientes foram aleatoriamente designados para CRM (n = 203), ICP (n = 205) ou TM (n = 203). Este estudo de análise de custos baseou-se na perspectiva do Sistema Público de Saúde. Os custos iniciais de procedimentos e acompanhamento de medicamentos, exames cardiológicos e hospitalizações por complicações foram calculados após a randomização. Anos de vida e anos de vida ajustados pela qualidade (QALY) foram usados como medidas de eficácia. As razões de custo-efetividade incremental (RCEI) foram obtidas usando métodos de bootstrap não paramétricos com 5.000 replicações. Resultados - Os custos iniciais do procedimento foram menores para o TM. No entanto, os custos acumulados de 5 anos foram menores para a CRM. Em comparação com a linha de base, as 3 opções de tratamento produziram melhorias significativas no QALY. Após 5 anos, a ICP e a CRM tiveram melhores resultados de QALY em comparação com o TM. Os resultados da RCEI favoreceram a CRM e a ICP quando comparadas ao TM, já a ICP em relação à CRM foi mais custo-efetiva em 61% para limiares até 3 PIB per capita por QALY. Por outro lado, a análise de sensibilidade mostrou o TM como a terapia preferida em comparação com a CRM e ICP, na análise considerando custos mais elevados. Conclusão - No seguimento de 5 anos, a ICP e CRM mostraram ser os tratamentos com QALYs cumulativos mais altos entre pacientes com DAC multiarterial quando comparados com TM. Além disso, apesar dos custos iniciais serem mais elevados, a comparação de custo-efetividade após 5 anos de acompanhamento entre os 3 tratamentos mostrou que ambas as intervenções (CRM e ICP) são estratégias custo-efetivas em comparação com a TM / Background. The costs for treating coronary artery disease (CAD) are high worldwide. We performed a post hoc analysis of cost-effectiveness of 3 therapeutic strategies for multivessel CAD. Methods. From May 1995 to May 2000, a total of 611 patients were randomly assigned to CABG (n=203), PCI (n=205), or MT (n=203). This cost analysis study was based on the perspective of the Public Health Care System. Initial procedural and follow-up costs for medications, cardiology examinations, and hospitalizations for complications were calculated after randomization. Life-years and quality-adjusted life years (QALY) were used as effectiveness measures. Incremental cost-effectiveness ratios (ICER) were obtained by using nonparametric bootstrapping methods with 5000 resamples. Results. Initial procedural costs were lower for MT. However, the subsequent 5-year cumulative costs were lower for CABG. Compared with baseline, the 3 treatment options produced significant improvements in QALY. After 5 years, PCI and CABG had better QALY results compared with MT. The ICER results favored CRM and PCI when compared to the TM, since the PCI in relation to the CRM was more costeffective in 61% for the thresholds up to 3 GDP per capita per QALY. On the other hand, sensitivity analysis showed MT as the preferred therapy compared with CABG and PCI, in the analysis considering higher costs. Conclusion. At 5-year follow-up, the 3 treatment options yielded improvements in quality of life, with comparable and acceptable costs. However, despite higher initial costs, the comparison of costeffectiveness after 5 years of follow-up among the 3 treatments showed both interventions (CABG and PCI) to be cost-effective strategies compared with MT

Der Einsatz numerischer Simulationen zur Bearbeitung klinischer Fragestellungen ist eine innovative Vorgehensweise. Im Rahmen der vorliegenden Arbeit wurde eine Methode zur Auswertung von Ergebnissen einer Finite-Elemente-Analyse zum Stentgraftverhalten konzipiert, implementiert und im Rahmen einer deutschlandweiten Benutzerstudie getestet. Für einen Vergleich unterschiedlicher Stentgraftkonfigurationen im Kontext mit dem patientenspezifischen Gefäß wurden Stentgraftbewertungsgrößen eingeführt. Hierzu gehören die Fixierungskraft und der Kontaktstatus zwischen Stentringen und Blutgefäßbestandteilen. Für eine Bereitstellung der Ergebnisgrößen im gefäßmedizinischen Arbeitsumfeld wurde eine graphische Mensch-Maschine-Schnittstelle entwickelt. Diese ermöglicht eine quantitative und qualitative Auswertung von Stentgraftbewertungsgrößen. Hierfür wurden Module zur automatisierten Auswertung von Fixierungskräften sowie zur 2D- und 3D- Ergebnisvisualisierung implementiert. Im Rahmen der Benutzerstudie wurde die Anwendung der entwickelten Methode für die Ermittlung des Einsatzpotenzials numerischer Simulationen zur Unterstützung der Stentgraftauswahl demonstriert. Im Ergebnis wurde als wesentliches Einsatzpotenzial die Festlegung eines Mindestmaßes an Überdimensionierung, die Optimierung der Schenkellänge sowie der Ver- gleich unterschiedlicher Stentgraftdesigns ermittelt. Weiterhin konnten grundlegende Anforderungen an ein System zur Generierung und Bewertung von Stentgraftkonfigurationen im klinischen Alltag definiert werden. Zu den wesentlichen Funktionen, die der Implanteur für einen Vergleich von Stentgrafts benötigt, zählen eine Übersichtskarte zu farbkodiertem Migrationsrisiko pro Stentgraft und Landungszone, die Visualisierung des Abdichtungszustandes der Stentkomponenten sowie die Darstellung von Stentgraft- und Gefäßdeformationen im 3D-Modell.

No description available.

Les nouvelles technologies médicales contribuent aux dépenses en santé qui ne cessent de croître, alors que les budgets se trouvent limités. L’évaluation économique des technologies devraient permettre d’identifier quelles sont celles qui sont les plus rentables. Malgré cela, plusieurs technologies dont le rapport coût-efficacité reste plutôt limite ou défavorable sont utilisées en médecine moderne et remboursées par notre système public de santé. Ce mémoire se concentre sur deux technologies en santé cardiovasculaire dont le rapport coût-efficacité est plutôt limite mais qui sont fréquemment utilisées au Canada; les tuteurs médicamentés ou pharmaco-actifs et les défibrillateurs cardiaques implantables (DCI). Nous avons fait une évaluation contingente de ces technologies dans le but d’examiner si ce type d’évaluation économique complémentaire pouvait procurer un point de vue nouveau sur la valeur économique et sociétaire des ces technologies. Les résultats de ces deux évaluations indiquent que les patients accordent une grande importance aux bénéfices que procurent ces deux technologies. Nos résultats soutiennent les politiques de santé actuelles de rembourser de façon libérale ces deux technologies. / Technological innovations have greatly contributed to the rising costs in healthcare, while budgets have remained limited. Economic evaluations of technologies should identify which technologies are cost-effective. However, several technologies used in modern medicine are either borderline cost-effective or even not cost-effective according to many studies. This thesis focuses on two technologies in cardiovascular medicine which are considered borderline cost-effective; drug-eluting stents and implantable cardioverter defibrillators. We conducted a contingent valuation of these technologies in hopes of determining if this alternative type of economic evaluation could give a novel point of view on the economic and societal value of these technologies. Results indicated that patients greatly valued benefits provided by these two technologies. Our result support our public healthcare system policies’ of liberal reimbursement of these two technologies.

Cette thèse est consacrée à la modélisation mathématique et simulations numériques des écoulements sanguins dans des artères en présence d’une endoprothèse vasculaire de type stent. La présence de stent peut être considérée comme une perturbation locale d’un bord lisse d’écoulement, plus précisément les parois de l’artère sont assimilées à une surface fortement rugueuse. Nous nous sommes principalement intéressés au contrôle de la régularité H² sur un modèle simplifié permettant de prendre en compte l’effet de ces stents lorsque le flux sanguin est gouverné par une équation de Laplace (en lien avec la composante axiale de la vitesse d’écoulement) avec une condition aux limites de type Dirichlet, dans un domaine à bord rugueux (en fonction d’un petit paramètre ε). Dans une première partie, nous soulevons la question d’existence et d’unicité de la solution de ce modèle d’écoulement sanguin et nous traitons la régularité H² par des techniques d’analyse variationnelle. Une étude minutieuse permet de contrôler la régularité H² en O(ε−1). Le deuxième axe est dédié à l’étude de la régularité H² par des analyse asymptotiques multiéchelles. Nous montrons que la norme H² de la solution de ce modèle d’écoulement sanguin est singulière en O(ε−½ ). D’autre part, nous améliorons les ordres de convergence des résultats existants concernant la construction des approximations multiéchelles. Dans un troisième temps, nous présentons des estimations d’erreur et des résultats numériques. Ces résultats illustrent le bien fondé des estimations d’erreur sur le plan pratique. Nous montrons bien l’importance des méthodes asymptotiques qui se révèlent plus efficaces qu’un calcul direct. / This thesis is devoted to mathematical modeling and numerical simulations of the blood-flows in arteries in the presence of a vascular prosthesis of type stent. The presence of stent can be considered as a local perturbation of a smooth edge of flow, more precisely the walls artery can be seen as a strongly rough surface.Weare mainly interested in controlling the H² regularity of a simplified model which takes into account the impact of these stents when the blood flow is controlled by a Laplace equation (in link with the axial component rateof flow) with a Dirichlet boundary condition, in a domain with a rough board (according to a small parameter ε). First, we raise the question of existence and unicity of the solution of this model of blood-flow and we study the H² regularity using variational analysis methods. By a detailed study, we control the H² regularity of order O(ε−1). The second part is devoted to the study of the regularity H² regularity using multi-scale analysis.We prove that the H² norm of the solution of this model is singular of order O(ε−½). Moreover, we improve the convergence rate of the existing results on the construction of the multi-scale approximation. Finally, we present an error estimation and numerical results. These numerical results illustrate the well-founded of the error estimates on a practical level. We show the importance of the asymptotic methods that seem to be more effective than a direct computation.

Les anévrysmes intracrâniens (AIC) sont des malformations artérielles développées au dépend des vaisseaux qui vascularisent le parenchyme cérébral. Leur rupture provoque une hémorragie intracrânienne, appelée hémorragie sous-arachnoïdienne, responsable d'une mortalité importante ou de séquelles fonctionnelles lourdes. Le traitement préventif de ces lésions est fréquemment réalisé lors d'une procédure endovasculaire (appelée coiling), par implantation, au sein de la poche artérielle pathologique, de spires métallique en platine à détachement contrôlé (les coils). La présence de ce matériel provoque une thrombose de la poche ce qui entraine secondairement une exclusion de l'anévrysme de la circulation artérielle. Une modalité de traitement endovasculaire plus récente fait appel à un dispositif implantable innovant appelé stent "flow diverter" (FD) que l'on déploie en regard de l'orifice qui fait communiquer l'artère et l’anévrysme : le collet anévrysmal. Ces stents FD, au design particulier, associant une faible porosité à une densité de pores élevée, agissent comme des "déflecteurs" et diminuent le flux sanguin entrant et sortant de l'anévrysme. L'objectif du traitement demeure toujours l'exclusion de l'anévrysme mais celle-ci est obtenue indirectement en agissant sur la "porte d'entrée" de l'anévrysme (le collet) et non plus directement sur la poche anévrysmale elle-même. Il ne s'agit plus alors de remplir le sac anévrysmal avec des coils mais de provoquer une thrombose stable et pérenne en altérant uniquement le flux sanguin qui le pénètre. Cette modalité thérapeutique novatrice a suscité un engouement important de la part des neuroradiologues interventionnels depuis 2007, date des premières implantations en Europe. Cependant, bien que reposant sur les capacités d'un tel dispositif à modifier le flux, on constate qu'il existe très peu d'outils d'imagerie disponibles actuellement et capables de quantifier ces modifications en un délai raisonnable pour pouvoir être exploité lors du traitement endovasculaire. De cette constatation clinique est né un projet collaboratif dont la finalité était le développement d'un outil logiciel basé sur les séquences d'angiographie numérisées soustraites et capable de mesurer au moins un des aspects du flux sanguin (et donc de ses modifications). La démarche de recherche mise en œuvre s'est effectuée en trois étapes. Premièrement, une étape expérimentale portant sur la réalisation d'un modèle "optimisé" d'AIC permettant le recueil de données hémodynamiques et d'imagerie. Puis, une étape de recherche plus fondamentale comprenant deux parties: d'une part des simulations numériques réalisées dans le cadre d'un modèle 3D réaliste d'AIC et d'autre part l'analyse d'images angiographiques. Au cours de cette étape, nous avons utilisé des outils de traitement d'images existants et développé certains algorithmes, puis les avons validés avant de les implémenter sous JAVA pour créer un outil logiciel d'analyse de flux. Enfin, la dernière étape du projet a consisté en l'exploitation du logiciel pour étudier une série clinique de patients traités d'un AIC par stent FD. Elle a permis de mettre en évidence certains facteurs prédictifs d'exclusion de l'anévrysme à long terme susceptible d'avoir un impact, en temps réel, sur le traitement des AIC par stent FD. / Intracranial aneurysms treatment based on intra aneurismal flow modification tend to replace traditionally coiling in many cases and not only complex aneurysms for which they were initially designed. Dedicated stents (low porosity, high pores density stents) called “flow diverter” stents are deployed across the neck of the aneurysm to achieve this purpose. The summation of three different mechanisms tend to lead to the healing of the aneurysm: immediate flow alteration due to the mechanical screen effect of the stent, physiological triggering of acute or progressive thrombus formation inside the aneurysm’s pouch and long term biological response leading in neointima formation and arterial wall remodeling. This underlying sequence of processes is also supposed to decrease the recanalization rate. Scientific data supporting the flow alteration theory are numerous and especially computational flow dynamics (CFD). These approaches are very helpful for improving biomechanical knowledge of the relations between blood flow and pathology, but they do not fit in real-time treatments. Neuroendovascular treatments are performed under dynamic x-ray modality (digital subtracted angiography a DSA-).However, in daily practice, FD stents are sized to the patient’s 3D vasculature anatomy and then deployed. The flow modification is then evaluated by the clinician in an intuitive manner: the decision to deploy or not another stent is based solely on a visual estimation. The lack of tools available in the angioroom for quantifying in real time the blood flow hemodynamics should be pointed out. It would make sense to take advantage of functional data contained in contrast bolus propagation and not only anatomical data. Thus, we proposed to create flow software based on angiographic analysis. This software was built using algorithms developed and validated on 2D-DSA sequences obtained in a swine intracranial aneurysm model. This intracranial animal model was also optimized to obtain 3D vascular imaging and experimental hemodynamic data that could be used to realize realistic computational flow dynamic. In a third step, the software tool was used to analyze flow modification from angiographic sequences acquired during unruptured IA from patients treated with a FD stent. Finally, correlation between flow change and aneurysm occlusion at long term follow-up with the objective of identifying predictive markers of long term occlusion was performed.

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