Theory of measurement of blood flow by dye dilution technique
- 1 December 1958
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IRE Transactions on Medical Electronics
- Vol. PGME-12, 82-88
- https://doi.org/10.1109/iret-me.1958.5008509
Abstract
The general mathematical theory of measurement of blood flow by dye dilution techniques is discussed. The mathematical procedure for handling the recirculation problem is described, and it is shown that, in general, sampling of concentration at a single point is not sufficient to uniquely determine both the volume and flow in a vascular bed. The more basic problem of synthesizing a mathematical model of the circulation is analyzed. A general probabilistic scheme for handling transport problems of this kind is outlined, and results obtained for exchange of labeled material between the vascular and extravascular fluid compartment are described.Keywords
This publication has 3 references indexed in Scilit:
- On the Theory of the Indicator-Dilution Method for Measurement of Blood Flow and VolumeJournal of Applied Physiology, 1954
- A mathematical derivation of the exchange of a labeled substance between a liquid flowing in a vessel and an external compartmentBulletin of Mathematical Biology, 1953
- Theory of the measurement of blood flow by the dilution of an indicatorBulletin of Mathematical Biology, 1948