title: Determination of pulmonary mean transit time and cardiac output using a one-dimensional model.
abstract: In this work, we show that a one-dimensional model of the blood flow across the lungs can reproduce the evolution of a bolus versus the time. Solving the differential equation governing the bolus concentration in the framework of this model, we determine the solution which fulfills Gaussian initial boundary conditions. An effective parameter related to the ratio of a diffusion coefficient to the square of the mean speed of the flow is defined. The determination of its numerical values following a semi-empirical approach enables us to know accurately the mean transit time and the cardiac output. The results have been compared to other methods, and were found in good agreement. Such an approach could be of interest in all studies where the knowledge of flow--including micro-circulation--is needed.
authors.affiliation: Laboratoire des Collisions Atomiques et Moléculaires (Unité de Recherches Associée au CNRS No 281), Université de Paris-Sud, Orsay, France. lesech@ferrari.lcam.u-psud.fr
authors.forename: C
authors.initials: C
authors.lastname: Le Sech
authors.forename: A
authors.initials: A
authors.lastname: Capderou
mesh_terms: D000704:Analysis of Variance; D000818:Animals; D002302:Cardiac Output; D003326:Coronary Circulation; D006321:Heart / Q000000981:diagnostic imaging; D006801:Humans; D008168:Lung / Q000000981:diagnostic imaging; D008433:Mathematics; D008955:Models, Cardiovascular; D016011:Normal Distribution; D011652:Pulmonary Circulation; D011877:Radionuclide Imaging; D013668:Technetium Tc 99m Aggregated Albumin
chemical_list: D013668:Technetium Tc 99m Aggregated Albumin