The Application of Hydrodynamics to Elucidate the Interrelationships of Various Body Compartment Volumes
- 1 April 1961
- journal article
- research article
- Published by IOP Publishing in Physics in Medicine & Biology
- Vol. 5 (4) , 411-430
- https://doi.org/10.1088/0031-9155/5/4/303
Abstract
The dynamics of the plasma concentration of substances diffusing interstitially and cleared by the kidney have been studied in terms of the differential equations for multi-compartment systems. The equations resolve into a series of exponential terms, with constants related to the physical data. In the case of a single interstitial compartment with a single diffusion rate, the constants can be derived without difficulty. A simple hydraulic analogue was constructed for the investigation of more complex cases, and a series of qualitative observations is reported. The "virtual interstitial concentration, reaches a peak before it is equal to the plasma concentration and the apparent equilibrium is only momentary and, therefore, of doubtful value in estimating interstitial fluid volume.Keywords
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