1989
DOI: 10.1115/1.3168335
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A Model of Oxygen Exchange Between an Arteriole or Venule and the Surrounding Tissue

Abstract: A mathematical model is developed to study the effect of capillary convection on oxygen transport around segments of arterioles and venules that are surrounded by capillaries. These capillaries carry unidirectional flow perpendicular to the vessel. The discrete capillary structure is distributed in a manner determined by the capillary blood flow and capillary density. A nonlinear oxyhemoglobin dissociation curve described by the Hill equation is used in the analysis. Oxygen flux from the vessel is expressed as… Show more

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Cited by 29 publications
(18 citation statements)
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“…Another possible explanation is the oxygen loss from arterioles to adjacent capillaries. This has been suggested as a theoretical possibility [15][16][17], and as an experimental observation [11]. These possible explanations should be investigated further.…”
Section: Discussionmentioning
confidence: 76%
“…Another possible explanation is the oxygen loss from arterioles to adjacent capillaries. This has been suggested as a theoretical possibility [15][16][17], and as an experimental observation [11]. These possible explanations should be investigated further.…”
Section: Discussionmentioning
confidence: 76%
“…In 1919, the transfer of oxygen from microvessels to tissue was analyzed theoretically by Krogh.1 Because of the difficulties in determining the oxygen tension in both tissues and microvessels, in vivo experimentation has been used to support theoretical analyses. [2][3][4][5] We have recently constructed a system by which the concentration of hemoglobin and the degree of oxygenation can be calculated; this system is composed of a scanning spectrophotometer and an inverted microscope and is used to record the absorption spectrum of erythrocytes flowing in single microvessels in living tissues. 6,7 Furthermore, the flow velocity of erythrocytes in the microvessel has been determined with a novel device by adopting the method of dual-spot cross correlation, and the diameter of the microvessels has been measured by using the digitized video image with an image processor.6.7 The rate of oxygen release from the 1 wavelength range (within 200-900 nm), and the detector could count 1x 103 to 3 x 106 photons/sec.…”
Section: A Methods For Measuring the Rate Of Oxygenmentioning
confidence: 99%
“…The hematocrit (H wall ) at the blood wall interface was assumed to be the product of the capillary hematocrit 19 and fractional capillary volume. 44 Using the same notation as equation (2) - (5), the hematocrit in the arteriolar and venular lumen were assumed to be: Hðx; y; zÞ ¼ H core;n ; 0<r n <R 1;n H core;n À ðH core;n À H wall Þ r n ÀR 1;n R 2;n ÀR 1;n…”
Section: Governing Equationsmentioning
confidence: 99%