Convection and diffusion in the microcirculation

Aroesty, Jerry; Gross, Joseph F.

doi:10.1016/0026-2862(70)90016-6

Cited by 71 publications

(46 citation statements)

References 5 publications

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“…This is similar to a moving wall with fixed RBCs where the wall moves with velocity -vRBC. The equations are extensively described by Aroesty and Gross (1970). Next the major equations that set up the model will be shown.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Here, we follow Aroesty and Gross (1970) by solving a system of two equations, since the number of grid points needed in numerical computation is less than with the fourth order equation. To solve the stream function, two simultaneous equations have to be solved:…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Convection was extensively investigated for relatively simple geometries in the sixties and reviews of these studies can be found in literature (Gross and Aroesty, 1972;Huang, 1971;Leonard and J0rgensen, 1974). Both (semi-) analytical (Duda and Vrentas, 1971;Lew and Fung, 1969;Wang and Skalak, 1969) and numerical solutions (Aroesty and Gross, 1970;Bugliarello and Hsiao, 1970) are to be found. An analogue of oxygen diffusion is heat transfer.…”

Section: Introductionmentioning

confidence: 99%

“…They found motion could improve heat transfer by up to twofold. However, Aroesty and Gross (1970) showed that one has to be careful in extrapolating these results to oxygen transport. Therefore they developed a mathematical model which combined local convection and diffusion.…”

Section: Introductionmentioning

confidence: 99%

“…In this study more realistic boundary conditions are applied to the model of Aroesty and Gross (1970). The results will show whether the influence of plasma motion on local oxygen supply really can be ignored or that further study is needed.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Reconsidering the Effect of Local Plasma Convection in a Classical Model of Oxygen Transport in Capillaries

Bos

Hoofd

Oostendorp

1996

Microvascular Research

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Please be advised that this information was generated on 2018-05-09 and may be subject to change. m f c r o v a s c u l a r r e s e a r c h 51, 39-50 (1996) In 1970, Aroesty and Gross investigated the influence of local plasma convection in between two successive red blood cells (RBC) in a capillary on the local oxygen transfer into tissue by combining convectional and diffusional oxygen transport, They concluded that the effect of local plasma convection on oxygen transport in the capillaries was insignificant. Here it is shown that this result was due to their choice of flat oxygen concentration profiles as boundary conditions. In fact, the plasma motion can be of importance when more realistic oxygen concentrations are used as boundary conditions. The fluxes of oxygen through the capillary wall could be up to 50% larger as compared to those of Aroesty and Gross, especially for low hematocrit values and for maximally working muscle. Since the boundary concentrations in the model of the current paper are fixed, chosen not to be influenced by the transport processes, calculations will not show to what extent motion really enhances the oxygen transport, and should be considered as rough indications of the effect of plasma motion. The results in this investigation indicate that in capillaries motion has to be taken into account under conditions of low hematocrit or high RBC velocity.

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Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Reconsidering the Effect of Local Plasma Convection in a Classical Model of Oxygen Transport in Capillaries

Bos

Hoofd

Oostendorp

1996

Microvascular Research

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Physiological Microflows

Dufaux¹,

Durand²,

Guiffant³

et al. 2013

Microfluidics

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The role of red cell movement on alveolar gas diffusion

Merrikh

Lage

2005

Mat.-wiss. u. Werkstofftech.

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Existing controversy on the effect of blood flow, and more specifically red blood cell (RBC) movement, on the alveolar gas diffusion is considered. Contrary to fundamental understanding of flow (convection) effects, there seems to be a consensus in the negligible role blood flow plays on alveolar gas transport. Notwithstanding, experimental evidence indicates an increase in the efficiency of alveolar gas exchange under high cardiac output (exercising), which could be easily explained as a result of increased blood flow. A theoretical analysis of a simplified capillary blood flow configuration, with blood considered as a homogeneous fluid (no RBCs), is presented to demonstrate the strong blood (plasma) flow effect. The analysis is followed by the realistic modeling and numerical simulations of alveolar gas diffusion in a straight capillary under blood flow, with RBCs represented as discrete circles. Results indicate a substantial increase in the gas diffusion efficiency with blood speed, especially under low hematocrit and high blood speed.

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Convection and diffusion in the microcirculation

Cited by 71 publications

References 5 publications

Reconsidering the Effect of Local Plasma Convection in a Classical Model of Oxygen Transport in Capillaries

Reconsidering the Effect of Local Plasma Convection in a Classical Model of Oxygen Transport in Capillaries

Physiological Microflows

The role of red cell movement on alveolar gas diffusion

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