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.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Le Sech C,Capderou Adoi
10.1007/BF02458387subject
Has Abstractpub_date
1996-11-01 00:00:00pages
1155-70issue
6eissn
0092-8240issn
1522-9602journal_volume
58pub_type
杂志文章abstract::Understanding how ecosystems evolve and how they respond to external perturbations is critical if we are to predict the effects of human intervention. A particular class of ecosystems whose dynamics are poorly understood are those in which the species are related via cross-feeding. In these ecosystems the metabolic ou...
journal_title:Bulletin of mathematical biology
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
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更新日期:2005-07-01 00:00:00
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
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journal_title:Bulletin of mathematical biology
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02459930
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journal_title:Bulletin of mathematical biology
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journal_title:Bulletin of mathematical biology
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
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journal_title:Bulletin of mathematical biology
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