| Fractal structures in stenoses and aneurysms in blood vessels. | |
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MedLine Citation:
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PMID: 21078637 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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Recent advances in the field of chaotic advection provide the impetus to revisit the dynamics of particles transported by blood flow in the presence of vessel wall irregularities. The irregularity, being either a narrowing or expansion of the vessel, mimicking stenoses or aneurysms, generates abnormal flow patterns that lead to a peculiar filamentary distribution of advected particles, which, in the blood, would include platelets. Using a simple model, we show how the filamentary distribution depends on the size of the vessel wall irregularity, and how it varies under resting or exercise conditions. The particles transported by blood flow that spend a long time around a disturbance either stick to the vessel wall or reside on fractal filaments. We show that the faster flow associated with exercise creates widespread filaments where particles can get trapped for a longer time, thus allowing for the possible activation of such particles. We argue, based on previous results in the field of active processes in flows, that the non-trivial long-time distribution of transported particles has the potential to have major effects on biochemical processes occurring in blood flow, including the activation and deposition of platelets. One aspect of the generality of our approach is that it also applies to other relevant biological processes, an example being the coexistence of plankton species investigated previously. |
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Authors:
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Adriane B Schelin; György Károlyi; Alessandro P S de Moura; Nuala A Booth; Celso Grebogi |
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Publication Detail:
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Type: Journal Article; Research Support, Non-U.S. Gov't |
Journal Detail:
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Title: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences Volume: 368 ISSN: 1364-503X ISO Abbreviation: Philos Transact A Math Phys Eng Sci Publication Date: 2010 Dec |
Date Detail:
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Created Date: 2010-11-16 Completed Date: 2011-01-13 Revised Date: 2011-12-28 |
Medline Journal Info:
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Nlm Unique ID: 101133385 Medline TA: Philos Transact A Math Phys Eng Sci Country: England |
Other Details:
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Languages: eng Pagination: 5605-17 Citation Subset: IM |
Affiliation:
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Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, Brazil. schelin@if.usp.br |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Algorithms Aneurysm* Biological Transport Biophysics Blood Platelets / physiology Blood Vessels / pathology, physiology* Computer Simulation Constriction, Pathologic Coronary Stenosis / pathology* Fractals Humans Models, Statistical Motion Nonlinear Dynamics |
| Grant Support | |
ID/Acronym/Agency:
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BB-F00513X//Biotechnology and Biological Sciences Research Council; BS-G010722//Biotechnology and Biological Sciences Research Council; //Medical Research Council |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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