Parametric analysis of flow in the intramyocardial circulation

A simple mathematical model of the intramyocardial circulation has been utilized to provide a better understanding of coronary blood flow. The model includes three myocardial layers, each characterized by a three-parameter windkessel with one capacitance and two resistances. The effects of the beati...

Full description

Saved in:
Bibliographic Details
Published in:Annals of biomedical engineering 1990-01, Vol.18 (4), p.347-365
Main Authors: HOLENSTEIN, R, NEREM, R. M
Format: Article
Language:English
Subjects:
Animals
Biological and medical sciences
Biomechanical Phenomena
Coronary Circulation - physiology
Diastole - physiology
Dogs
Fundamental and applied biological sciences. Psychology
General aspects
Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects)
Models, Cardiovascular
Reference Values
Vascular Resistance - physiology
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A simple mathematical model of the intramyocardial circulation has been utilized to provide a better understanding of coronary blood flow. The model includes three myocardial layers, each characterized by a three-parameter windkessel with one capacitance and two resistances. The effects of the beating heart are taken into account by means of an intramyocardial pump and the possible collapse of the vessels by an elevated backpressure. The three basic parameters that govern the flow are a normalized time constant, tau, the total resistance, Rt, and a parameter, alpha, which specifies the resistance distribution in the intramyocardial circulation. Both the normal beating heart and prolonged diastole have been investigated analytically as well as numerically. It is shown that each of these parameters has its own special significance. Calculated pressure-flow relationships and zero-flow pressures for the case of prolonged diastole show a high sensitivity to tau and alpha.
ISSN:0090-6964
1573-9686
DOI:10.1007/BF02364154