To the Editor:--The article by Hettrick et al. [1]claims that "the effects of volatile anesthetics, including isoflurane and halothane, on quantitative indexes of left ventricular afterload have not been described." Gersh,* working with me in the Nuffield Department of Anaesthetics at Oxford, studied the subject in depth between 1968 and 1970 and published our experimental findings on halothane and its effects on the interactions between myocardial contractility, aortic impedance, and left ventricular performance in a series of four articles. [2-5]These were supplemented by the studies of Foex,** also at that time working with me in Oxford, on the effects of carbon dioxide on the systemic [6]and pulmonary [7]vasculature during anesthesia.

The aortic input impedance spectra during halothane anesthesia and sodium nitroprusside infusion, which we obtained then, were essentially similar to those described now by Hettrick et al. Our interpretations were based on both the Windkessel and the transmission line models. However, for our studies of both systemic and pulmonary vasculature, we preferred to use the ratio of pulsatile left (or right) ventricular work (and power) to the total work (pulsatile + steady work) to define the efficiency with which the relevant arteriolar bed was decoupled from the heart. [8,9]We also used an arteriolar dilator, trimetaphan, in the first study [3]to test the concept that the effects of halothane were different from those of a potent arteriolar dilator. Nevertheless, our main conclusion, that "neither the inductive nor the capacitative characteristics of the aorta and peripheral vascular bed could play a significant role in the haemodynamic responses to halothane anaesthesia" reads remarkably similar to that of Hettrick et al. We subsequently studied the effects of sodium nitroprusside, [10]and our conclusion that, "when hypotension is induced by widespread arteriolar dilatation, it is achieved at some loss of efficiency in the coupling of the left ventricle and its load" differs little from theirs. Our other conclusion, that "the increased distensibility of the arterial bed accounts for the marked changes in the profile of the arterial pressure pulse," is not only consistent with their finding of an increased Carbon in their model but has relevance in the interpretation of clinically observable changes in the arterial pressure wave during the hypotension associated with drugs such as sodium nitroprusside, with endotoxinemia and with profound anemia from natural causes or from isovolumic haemodilution. [11].

It is noteworthy that Gersh, in his thesis, [2]also defined precisely the requirements for both pressure [12]and velocity (flow) measurements for accurate evaluation of hemodynamics.

Cedric Prys-Roberts, D.M., Ph.D., P.R.C.A., Professor of Anaesthesia, Sir Humphry Davy Department of Anaesthesia, University of Bristol, Bristol Royal Infirmary, Bristol, BS2 8HW, England.

Bernard J. Gersh, M.B., Ch.B., D.Phil., F.R.C.P., W. Proctor Harvey Teaching Professor of Cardiology, Chief, Division of Cardiology, Georgetown University Medical Center, 3800 Reservoir Road NW, Washington, D.C. 2007-2197.

*Gersh BJ: Ventricular function and haemodynamics in the dog during anaesthesia, Doctoral Thesis. University of Oxford, 1970.

**Foex P: Haemodynamics and myocardial contractility during changes of blood carbon dioxide levels in anaesthetized animals, Doctoral Thesis. Oxford University, 1973.

1.
Hettrick DA, Pagel PS, Warltier DC: Differential effects of isoflurane and halothane on aortic input impedance quantified using a three-element Windkessel model. ANESTHESIOLOGY 1995; 83:361-73.
2.
Prys-Roberts C, Gersh BJ, Baker AB, Reuben SR: The effects of halothane on the interactions between myocardial contractility, aortic impedance, and left ventricular performance: I. Theoretical considerations and results. Br J Anaesth 1972; 44:634-49.
3.
Gersh BJ, Prys-Roberts C, Reuben SR, Schultz DL: The effects of halothane on the interactions between myocardial contractility, aortic impedance, and left ventricular performance: II. Aortic input impedance, and the distribution of energy during ventricular ejection. Br J Anaesth 1972; 44:767-75.
4.
Gersh BJ, Prys-Roberts C, Baker AB: The effects of halothane on the interactions between myocardial contractility, aortic impedance, and left ventricular performance: III. Influence of stimulation of sympathetic nerves, beta adrenergic receptors, and myocardial fibres. Br J Anaesth 1972; 44:995-1005.
5.
Gersh BJ, Prys-Roberts C: The effects of halothane on the interactions between myocardial contractility, aortic impedance, and left ventricular performance: IV. Haemodynamic responses to vagus nerve stimulation. Br J Anaesth 1972; 44:1133-8.
6.
Foex P, Prys-Roberts C: Effect of CO sub 2 on myocardial contractility and aortic input impedance during anaesthesia. Br J Anaesth 1975; 47:669-78.
7.
Foex P, Prys-Roberts C: Effects of changes in Pa sub CO sub 2 on pulmonary input impedance. J Appl Physiol 1975; 38:52-7.
8.
Taylor MG: Wave travel in arteries and the design of the cardiovascular system, Pulsatile Blood Flow. Edited by Attinger EO. New York, McGraw-Hill, 1964.
9.
Prys-Roberts C: Ventricular performance, The Circulation in Anaesthesia. Edited by Prys-Roberts C. Oxford, Blackwell Scientific, 1975, pp 115-46.
10.
Adams AP, Clarke TNS, Edmonds-Seal J, Foex P, Prys-Roberts C, Roberts JG: The effects of sodium nitroprusside on myocardial contractility and haemodynamics. Br J Anaesth 1974; 46:807-17.
11.
Clarke TNS, Prys-Roberts C, Biro GP, Foex P, Bennett MJ: Aortic input impedance and left ventricular energetics in acute isovolumic anaemia. Cardiovasc Res 1978; 12:49-55.
12.
Gersh BJ, Hahn CEW, Prys-Roberts C: Physical criteria for measurement of left ventricular pressure and its first derivative. Cardiovasc Res 1971; 5:32-40.