Ds. Berger et al., ARTERIAL WAVE-PROPAGATION PHENOMENA, VENTRICULAR WORK, AND POWER DISSIPATION, Annals of biomedical engineering, 23(6), 1995, pp. 804-811
The effects of wave propagation phenomena, namely global reflection co
efficient (Gamma(G)[omega]) and pulse wave velocity (c(ph)), are studi
ed in a model of the coupled left ventricle/arterial system. The left
ventricle consists of a time-varying elastance, while the arterial sys
tem is modeled as a single, uniform, elastic tube terminating in a com
plex load. Manipulation of model parameters allowed for the precise co
ntrol of Gamma(G)(omega) and c(ph) independent of each other, peripher
al resistance, and characteristic impedance. Reduction of Gamma(g)(ome
ga) and c(ph) were achieved through increases in load compliance and t
ube compliance, respectively. The equations describing the system were
solved for left ventricular and aortic pressures and aortic flow. Fro
m these, stroke volume (SV), left ventricular stroke work (SW), and st
eady (W-s), oscillatory (W-o), and total power dissipation (W-t) in th
e arterial system were calculated. An index of arterial system efficie
ncy was the ratio W-o/W-t (%W-o), with lower values indicating higher
efficiency. Reduction of Gamma(G)(omega) yielded initial increases in
W-s, while W-o increased for the entire range of Gamma(G)(omega), resu
lting in increased %W-o. This reduced efficiency is imposed on the ven
tricle, resulting in increased SW without increased SV. On the other h
and, decreased c(ph) yielded in a steady increase in W-s and a biphasi
c response in W-o, resulting in reduced %W-o for most of the range of
reduced c(ph). These results suggest that differential effects on arte
rial system efficiency can result from reductions of Gamma(G)(omega) a
nd c(ph). In terms of compliance, changes in arterial compliance can h
ave different effects on efficiency, depending on where the compliance
change takes place. Reasons for these results are suggested, and the
role of distributed compliances is raised as a new problem.