Transmural Variation and Anisotropy of Microvascular Flow Conductivity in the Rat Myocardium

Handle URI:
http://hdl.handle.net/10754/600069
Title:
Transmural Variation and Anisotropy of Microvascular Flow Conductivity in the Rat Myocardium
Authors:
Smith, Amy F.; Shipley, Rebecca J.; Lee, Jack; Sands, Gregory B.; LeGrice, Ian J.; Smith, Nicolas P.
Abstract:
Transmural variations in the relationship between structural and fluid transport properties of myocardial capillary networks are determined via continuum modeling approaches using recent three-dimensional (3D) data on the microvascular structure. Specifically, the permeability tensor, which quantifies the inverse of the blood flow resistivity of the capillary network, is computed by volume-averaging flow solutions in synthetic networks with geometrical and topological properties derived from an anatomically-detailed microvascular data set extracted from the rat myocardium. Results show that the permeability is approximately ten times higher in the principal direction of capillary alignment (the "longitudinal" direction) than perpendicular to this direction, reflecting the strong anisotropy of the microvascular network. Additionally, a 30% increase in capillary diameter from subepicardium to subendocardium is shown to translate to a 130% transmural rise in permeability in the longitudinal capillary direction. This result supports the hypothesis that perfusion is preferentially facilitated during diastole in the subendocardial microvasculature to compensate for the severely-reduced systolic perfusion in the subendocardium.
Citation:
Smith AF, Shipley RJ, Lee J, Sands GB, LeGrice IJ, et al. (2014) Transmural Variation and Anisotropy of Microvascular Flow Conductivity in the Rat Myocardium. Ann Biomed Eng 42: 1966–1977. Available: http://dx.doi.org/10.1007/s10439-014-1028-2.
Publisher:
Springer Science + Business Media
Journal:
Annals of Biomedical Engineering
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
28-May-2014
DOI:
10.1007/s10439-014-1028-2
PubMed ID:
24866569
PubMed Central ID:
PMC4404518
Type:
Article
ISSN:
0090-6964; 1573-9686
Sponsors:
The authors acknowledge support from the Virtual Physiological Rat Project (NIH1 P50 GM094503-1), the EPSRC (Engineering and Physical Sciences Research Council) under grant numbers EP/F043929/1 and EP/G007527/2, and Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST). The authors would also like to thank Prof. Timothy W. Secomb (University of Arizona) for helpful scientific discussions.
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Full metadata record

DC FieldValue Language
dc.contributor.authorSmith, Amy F.en
dc.contributor.authorShipley, Rebecca J.en
dc.contributor.authorLee, Jacken
dc.contributor.authorSands, Gregory B.en
dc.contributor.authorLeGrice, Ian J.en
dc.contributor.authorSmith, Nicolas P.en
dc.date.accessioned2016-02-28T06:35:25Zen
dc.date.available2016-02-28T06:35:25Zen
dc.date.issued2014-05-28en
dc.identifier.citationSmith AF, Shipley RJ, Lee J, Sands GB, LeGrice IJ, et al. (2014) Transmural Variation and Anisotropy of Microvascular Flow Conductivity in the Rat Myocardium. Ann Biomed Eng 42: 1966–1977. Available: http://dx.doi.org/10.1007/s10439-014-1028-2.en
dc.identifier.issn0090-6964en
dc.identifier.issn1573-9686en
dc.identifier.pmid24866569en
dc.identifier.doi10.1007/s10439-014-1028-2en
dc.identifier.urihttp://hdl.handle.net/10754/600069en
dc.description.abstractTransmural variations in the relationship between structural and fluid transport properties of myocardial capillary networks are determined via continuum modeling approaches using recent three-dimensional (3D) data on the microvascular structure. Specifically, the permeability tensor, which quantifies the inverse of the blood flow resistivity of the capillary network, is computed by volume-averaging flow solutions in synthetic networks with geometrical and topological properties derived from an anatomically-detailed microvascular data set extracted from the rat myocardium. Results show that the permeability is approximately ten times higher in the principal direction of capillary alignment (the "longitudinal" direction) than perpendicular to this direction, reflecting the strong anisotropy of the microvascular network. Additionally, a 30% increase in capillary diameter from subepicardium to subendocardium is shown to translate to a 130% transmural rise in permeability in the longitudinal capillary direction. This result supports the hypothesis that perfusion is preferentially facilitated during diastole in the subendocardial microvasculature to compensate for the severely-reduced systolic perfusion in the subendocardium.en
dc.description.sponsorshipThe authors acknowledge support from the Virtual Physiological Rat Project (NIH1 P50 GM094503-1), the EPSRC (Engineering and Physical Sciences Research Council) under grant numbers EP/F043929/1 and EP/G007527/2, and Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST). The authors would also like to thank Prof. Timothy W. Secomb (University of Arizona) for helpful scientific discussions.en
dc.publisherSpringer Science + Business Mediaen
dc.subjectDarcy flowen
dc.subjectFlow conductivityen
dc.subjectHomogenizationen
dc.subjectMicrovascular networksen
dc.subjectMyocardial blood flowen
dc.subjectTransmural functional differencesen
dc.subject.meshMicrocirculationen
dc.subject.meshCoronary Circulationen
dc.titleTransmural Variation and Anisotropy of Microvascular Flow Conductivity in the Rat Myocardiumen
dc.typeArticleen
dc.identifier.journalAnnals of Biomedical Engineeringen
dc.identifier.pmcidPMC4404518en
dc.contributor.institutionOxford Centre for Collaborative Applied Mathematics, Mathematical Institute, University of Oxford, Woodstock Road, Oxford, OX2 6GG, UK.en
kaust.grant.numberKUK-C1-013-04en

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