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Effects of red cell permeability on transcapillary tracer transport: The case of negligible back diffusion

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Abstract

Estimates of capillary tracer permeability calculated using multiple indicator data depend upon the particular model adopted to describe blood tissue exchange. The model proposed by Crone (1963) is appropriate when some of the injected tracer diffuses into the tissue but does not return appreciably to the bloodstream before data collection is terminated. Under these conditions extraction of tracer by the tissue depends on a single dimensionless parameter, αcap, defined as the ratio of capillary permeability surface area to water flow. The effects of finite red cell tracer permeability on the Crone model estimate of capillary permeability are examined in the present study. The results indicate that even when back diffusion from the extravascular space is negligible, significant errors in the Crone model estimate can be expected when capillary permeability is relatively high and the ratio of red cell to capillary permeability is less than unity. However, when an aliquot of blood is equilibrated with tracer prior to injection and the dimensionless capillary permeability is relatively low (i.e. αcap ≦ 0.25 for a haematocrit≦50%), the whole blood Crone model estimate of αcap will be within 10% of the actual value, irrespective of red cell permeability. Red cell-plasma exchange for commonly used tracer-organ combinations should not significantly affect Crone estimates of capillary permeability under normal physiological conditions, but may be important in low flow situations.

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Authors and Affiliations

  1. Pulmonary Circulation Center, School of Medicine, Vanderbilt University, 37232, Nashville, Tennessee, U.S.A.

    R. J. Roselli

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Additional information

Supported by Grant No. HL 19153 (SCOR in Pulmonary Vascular Diseases).

This work was done during Dr. Roselli’s tenure as an NHLBI Training Grant Fellow (NHLBI Training Grant No. 07123).

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Roselli, R.J. Effects of red cell permeability on transcapillary tracer transport: The case of negligible back diffusion. Bltn Mathcal Biology 42, 765–795 (1980). https://doi.org/10.1007/BF02461058

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