Steady-state analysis of a two-compartment barrier-limited capillary-tissue model with michaelis-menten saturation kinetics
✍ Scribed by Richard J. Bucolo; Vijai K. Tripathi
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 447 KB
- Volume
- 42
- Category
- Article
- ISSN
- 1522-9602
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✦ Synopsis
The steady-state solution of the equations governing substrate exchange between vascular and extravascular compartments separated by a membrane with finite, symmetrical substrate permeability is presented. Substrate removal from the extravascular compartment by Michaelis-Menten saturation type kinetics with negligible diffusion in the axial and instantaneous diffusion in the transverse directions in both compartments are assumed. It is shown that the solution degenerates into known expressions for special linearized and asymptotic cases. The method of solution is also apphed to an extension of the original model incorporating autoregulatory feedback effects upon the process responsible for substrate removal.