The kinetics of solute clearance by a single tissue capillary of limited permeability: Explicit solutions of two models and their bounds
✍ Scribed by Richard P. Gosselin; Robert E. Gosselin
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 987 KB
- Volume
- 49
- Category
- Article
- ISSN
- 1522-9602
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✦ Synopsis
To describe stationary-state kinetics of solute clearance from an interstitial space with an initial uniform concentration, an explicit solution of the Sangren-Sheppard model and a stratagem for an explicit solution of the Johnson-Wilson model are presented. In both cases expressions for computing the exact intravascular and extravascular concentrations at any time and location are complicated and inconvenient. Simpler and far more convenient formulae for determining upper and lower bounds on solute concentrations and on the pseudo-first-order clearance rate 'constant' (k) are derived. For the Johnson-Wilson model, the bounds are so tight that k, for example, can be estimated with considerable accuracy whenever the capillary blood flow exceeds the permeability-surface area product.