2014
DOI: 10.1051/proc/201447005
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The resistance of the respiratory system, from top to bottom

Abstract: Abstract. This paper proposes different levels of modeling around the notion of resistance: from the single parameter that is commonly measured in medical practice, to more sophisticated settings that account for the geometrical characteristics of the respiratory tract.Résumé. Cet article propose différents niveaux de modélisation permettant de donner un sensà la notion de résistance de l'arbre bronchique: de l'approche macroscopique qui définit cette résistance comme un nombre unique, mesurable, permettant de… Show more

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Cited by 2 publications
(2 citation statements)
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“…As we said in the Introduction, our work was motivated first by the study of airway resistance in pneumology which characterizes the patient's ventilation capability [19] and essentially by the study of the resistivity of the stent which is a medical device used to prevent rupture of aneurysms [14] where the stent is modelized as a porous media with a resistivity R. The problem of identifying Robin coefficient has been studied by Chaabane and Jaoua [11] for Laplace equations and by Boulakia, Egloffe and Grandmont [10] for Stokes problem where they consider the full overdetermined problem namely the velocity and the hole stress tensor on Γ c . We consider for our aim the following problem :…”
Section: Applicationmentioning
confidence: 99%
“…As we said in the Introduction, our work was motivated first by the study of airway resistance in pneumology which characterizes the patient's ventilation capability [19] and essentially by the study of the resistivity of the stent which is a medical device used to prevent rupture of aneurysms [14] where the stent is modelized as a porous media with a resistivity R. The problem of identifying Robin coefficient has been studied by Chaabane and Jaoua [11] for Laplace equations and by Boulakia, Egloffe and Grandmont [10] for Stokes problem where they consider the full overdetermined problem namely the velocity and the hole stress tensor on Γ c . We consider for our aim the following problem :…”
Section: Applicationmentioning
confidence: 99%
“…The blood flow was modelized by Navier-Stokes equations and the stent by a porous media with a dissipative term. Such kind of problem was also considered in the study of the airflow in the lungs [1,24]. Indeed, the airway resistance, modeled by a positive constante, characterizes in pneumology the patient ventilation capability.…”
Section: Introductionmentioning
confidence: 99%