Facilitated diffusion of oxygen and its possible significance; a review

Kreuzer, F.

doi:10.1016/0034-5687(70)90002-2

Cited by 137 publications

(57 citation statements)

References 56 publications

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“…The transport equations must account for the differences between the cell-rich core region of radius λR and a concentric cell-depleted shell. The system of equations used to describe O 2 transport within flowing RBC suspensions for the Hb-rich core region is given in (11,12).…”

Section: Rbc Suspension Modelmentioning

confidence: 99%

“…This phenomenon has been thoroughly described in the literature [11]. Because of the difference in O 2 transport kinetics between HBOCs and RBCs, the effects of HBOCs parameters must be considered under dynamic, flowing conditions.…”

Section: Introductionmentioning

confidence: 97%

“…The amount of O 2 delivered from whole blood is limited by the diffusion kinetics of dissolved O 2 (D O2 ~ 2 × 10 −5 cm 2 /s [11]) and the relatively low solubility of O 2 in plasma (~1.3μM mmHg −1 [12]). The presence of acellular Hbs is often linked to increased O 2 fluxes as compared to RBCs for two main reasons: 1) The acellular location Hb within the cell-depleted layer near the vessel wall decreases the potential O 2 diffusion distance and elevates the local O 2 concentrations; 2) acellular HbO 2 freely diffuses throughout the plasma space, providing an additional pathway for lateral O 2 transport.…”

Section: Introductionmentioning

confidence: 99%

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A quantitative framework for the design of acellular hemoglobins as blood substitutes: Implications of dynamic flow conditions

Cole

Vandegriff²,

Szeri

et al. 2007

Biophysical Chemistry

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The delivery of oxygen to tissue by cell-free carriers eliminates intraluminal barriers associated with red blood cells. This is important in arterioles, since arteriolar tone controls capillary perfusion. We describe a mathematical model for O 2 transport by hemoglobin solutions and red blood cells flowing through arteriolar-sized tubes to optimize values of p50, Hill number, hemoglobin molecular diffusivity and concentration. Oxygen release is evaluated by including an extra-luminal resistance term to reflect tissue oxygen consumption. For low consumption (i.e., high resistance to O 2 release) a hemoglobin solution with p50=15 mmHg, Hill n=1, D HBO2 =3×10 −7 cm 2 /s delivers O 2 at a rate similar to that of red blood cells. For high consumption, the p50 must be decreased to 5 mmHg. The model predicts that regardless of size, hemoglobin solutions with higher p50 will present excess O 2 to arteriolar walls. Oversupply of O 2 to arteriolar walls may cause constriction and paradoxically reduced capillary perfusion.

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Section: Rbc Suspension Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

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A quantitative framework for the design of acellular hemoglobins as blood substitutes: Implications of dynamic flow conditions

Cole

Vandegriff²,

Szeri

et al. 2007

Biophysical Chemistry

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“…This is to be expected since the values of D* in (15) are quite i n d e p e n d e n t of the haemoglobin concentration in t h e range studied here (Table 1) I f we assume t h a t DB = 0 and integrate Eq. (15) over the thickness of the film, we arrive at: The values of Do are taken from Kreuzer (1970) and those of D/t from data of Keller and Friedlander (1966) and compiled by Kreuzer (1970). oxygenated haemoglobin (St) and using relations of S ( y ) and C ( y ) following the advancing front hypothesis provides:…”

Section: Nonsteady State Oxygen Diffusion In a Non-moving Film Of Hamentioning

confidence: 99%

“…(7) below but also circumvents the need of proving it again for a certain specific problem as was the case hitherto (e.g. Kutchai, 1971a;Kreuzer, 1970;Zilversmit, 1965).…”

mentioning

confidence: 99%

Transfer of oxygen into haemoglobin solution

Spaan

1973

Pflugers Arch.

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An analysis of carrier‐facilitated transport

1973

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The physical and mathematical characteristics of carrier-facilitated transport in a liquid film are examined for a reaction scheme of the form A + B Fr? AB, in which A is the permeating species and B and AB are diffusable species which are constrained not to leave the film. For thin films, a solution is developed as a perturbation from purely physical diffusion and is expressed as a second-order power series. For thick films, a solution is developed as a perturbation from a state in which the species concentrations at any one point within the film are related by an equilibrium constraint. This development utilizes the techniques of matched asymptotic analysis. Taken together, these solutions provide an excellent estimate of the facilitation for a film of any thickness, as shown by comparison with numerical results. KENNETH SCOPECarrier-facilitated transport has attracted considerable recent attention from those who are interested in its role in life processes (

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Facilitated diffusion of oxygen and its possible significance; a review

Cited by 137 publications

References 56 publications

A quantitative framework for the design of acellular hemoglobins as blood substitutes: Implications of dynamic flow conditions

A quantitative framework for the design of acellular hemoglobins as blood substitutes: Implications of dynamic flow conditions

Transfer of oxygen into haemoglobin solution

An analysis of carrier‐facilitated transport

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