Numerical Simulations of Time-Dependent, non-Newtonian Blood Flow through Typical Human Arterial Bypass Grafts

Abstract Fifty-one dogs were operated upon, and various microvascular bypass grafts and anastomoses were completed. Seventeen of these dogs were followed for 5 to 8 years. Of these, three had a carotid-middle cerebral arterial bypass graft, five had a carotid-basilar arterial bypass graft, five had a lingual-basilar anastomosis, and four had a sublingualbasilar anastomosis. Postoperative carotid angiograms showed patent grafts and anastomoses in all of the dogs. Except for slight to moderate enlargement of the donor artery in the lingual and sublingual-basilar anastomoses or minor irregularities in the carotid-middle cerebral and carotid-basilar arterial bypass grafts, no significant changes were noted. In five dogs with lingual-basilar anastomoses in which both internal carotid arteries were ligated, the mean blood flow of the lingual artery was increased to 1.1 to 2.4 times normal. This study shows that, when experimental arterial bypass grafts and anastomoses remain patent for a few weeks after the operation, they stay patent for years, and, depending on the need, the blood flow through the anastomosis may increase.

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In Vivo Validation of Numerical Prediction of Blood Flow in Arterial Bypass Grafts

Annals of Biomedical Engineering ◽

10.1114/1.1496086 ◽

2002 ◽

Vol 30 (6) ◽

pp. 743-752 ◽

Cited By ~ 57

Author(s):

Joy P. Ku ◽

Mary T. Draney ◽

Frank R. Arko ◽

W. Anthony Lee ◽

Frandics P. Chan ◽

...

Keyword(s):

Blood Flow ◽

Numerical Prediction ◽

Bypass Grafts ◽

Arterial Bypass ◽

Arterial Bypass Grafts ◽

In Vivo Validation

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Unsteady MHD Pulsatile Blood Flow through Porous Medium in a Stenotic Channel with Slip at the Permeable Walls Subjected to Time Dependent Velocity (Injection/Suction)

The International Conference on Mathematics and Engineering Physics ◽

10.21608/icmep.2014.29736 ◽

2014 ◽

Vol 7 (6) ◽

pp. 1-25

Author(s):

Islam Eldesoky

Keyword(s):

Porous Medium ◽

Blood Flow ◽

Time Dependent ◽

Pulsatile Blood Flow ◽

Permeable Walls ◽

Flow Through

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A Case Study Demonstrating the Utility of Duplex Ultrasonography as the Sole Imaging Modality in the Surveillance and Repair of Lower Extremity Arterial Bypass Grafts

Journal for Vascular Ultrasound ◽

10.1177/154431670302700205 ◽

2003 ◽

Vol 27 (2) ◽

pp. 96-100

Author(s):

Sandra L. Brown ◽

Amber L. Clay ◽

Gilbert Upchurch

Keyword(s):

Lower Extremity ◽

Imaging Modality ◽

Duplex Ultrasonography ◽

Bypass Grafts ◽

Arterial Bypass ◽

Arterial Bypass Grafts

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Duplex imaging of lower limb arterial bypass grafts

Irish Journal of Medical Science (1971 -) ◽

10.1007/bf02983718 ◽

1992 ◽

Vol 161 (3) ◽

pp. 75-77 ◽

Cited By ~ 2

Author(s):

D. S. Ó’Ríordáin ◽

D. Q. Ryder ◽

J. A. O’Donnell

Keyword(s):

Lower Limb ◽

Bypass Grafts ◽

Arterial Bypass ◽

Duplex Imaging ◽

Arterial Bypass Grafts

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Therapeutic options for acute thrombosed in situ saphenous vein arterial bypass grafts

Journal of Vascular Surgery ◽

10.1067/mva.1990.19226 ◽

1990 ◽

Vol 11 (5) ◽

pp. 680-687 ◽

Cited By ~ 2

Author(s):

Dennis F. Bandyk ◽

Jonathan B. Towne ◽

David D. Schmitt ◽

Gary R. Seabrook ◽

Thomas M. Bergamini

Keyword(s):

Saphenous Vein ◽

Therapeutic Options ◽

Bypass Grafts ◽

Arterial Bypass ◽

Arterial Bypass Grafts

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Accounting for Tube Hematocrit in Modeling of Blood Flow in Cerebral Capillary Networks

Computational and Mathematical Methods in Medicine ◽

10.1155/2019/4235937 ◽

2019 ◽

Vol 2019 ◽

pp. 1-10

Author(s):

Nikolai D. Botkin ◽

Andrey E. Kovtanyuk ◽

Varvara L. Turova ◽

Irina N. Sidorenko ◽

Renée Lampe

Keyword(s):

Finite Element ◽

Blood Flow ◽

Numerical Simulations ◽

Hydraulic Resistance ◽

Analytic Formula ◽

Finite Element Simulations ◽

Hematocrit Level ◽

Capillary Networks ◽

Cerebral Capillary ◽

Flow Through

The aim of this paper consists in the derivation of an analytic formula for the hydraulic resistance of capillaries, taking into account the tube hematocrit level. The consistency of the derived formula is verified using Finite Element simulations. Such an effective formula allows for assigning resistances, depending on the hematocrit level, to the edges of networks modeling biological capillary systems, which extends our earlier models of blood flow through large capillary networks. Numerical simulations conducted for large capillary networks with random topologies demonstrate the importance of accounting for the hematocrit level for obtaining consistent results.

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