| Blood flow in microvascular networks: a study in nonlinear biology. | |
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MedLine Citation:
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PMID: 21198135 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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Plasma skimming and the Fahraeus-Lindqvist effect are well-known phenomena in blood rheology. By combining these peculiarities of blood flow in the microcirculation with simple topological models of microvascular networks, we have uncovered interesting nonlinear behavior regarding blood flow in networks. Nonlinearity manifests itself in the existence of multiple steady states. This is due to the nonlinear dependence of viscosity on blood cell concentration. Nonlinearity also appears in the form of spontaneous oscillations in limit cycles. These limit cycles arise from the fact that the physics of blood flow can be modeled in terms of state dependent delay equations with multiple interacting delay times. In this paper we extend our previous work on blood flow in a simple two node network and begin to explore how topological complexity influences the dynamics of network blood flow. In addition we present initial evidence that the nonlinear phenomena predicted by our model are observed experimentally. |
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Authors:
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John B Geddes; Russell T Carr; Fan Wu; Yingyi Lao; Meaghan Maher |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: Chaos (Woodbury, N.Y.) Volume: 20 ISSN: 1089-7682 ISO Abbreviation: Chaos Publication Date: 2010 Dec |
Date Detail:
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Created Date: 2011-01-04 Completed Date: 2011-04-15 Revised Date: 2011-12-21 |
Medline Journal Info:
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Nlm Unique ID: 100971574 Medline TA: Chaos Country: United States |
Other Details:
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Languages: eng Pagination: 045123 Citation Subset: IM |
Copyright Information:
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© 2010 American Institute of Physics. |
Affiliation:
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Olin College of Engineering, Needham, Massachusetts 02492, USA. john.geddes@olin.edu |
Export Citation:
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APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
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Animals Dimethylpolysiloxanes Hemorheology / physiology Humans Microcirculation / physiology* Microvessels / physiology* Models, Cardiovascular Nonlinear Dynamics* Numerical Analysis, Computer-Assisted Perfusion |
| Chemical | |
Reg. No./Substance:
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0/Dimethylpolysiloxanes |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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