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J Appl Physiol 84: 868-876, 1998;
8750-7587/98 $5.00
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Vol. 84, Issue 3, 868-876, March 1998

Physiological control of a total artificial heart: conductance- and  arterial pressure-based control

Y. Abe1, T. Chinzei1, K. Mabuchi2, A. J. Snyder3, T. Isoyama2, K. Imanishi2, T. Yonezawa2, H. Matsuura2, A. Kouno1, T. Ono1, K. Atsumi1, I. Fujimasa2, and K. Imachi1

1 Institute of Medical Electronics, Faculty of Medicine, and 2 Research Center for Advance Science and Technology, University of Tokyo, Tokyo 113, Japan; and 3 Department of Surgery, College of Medicine, The Pennsylvania State University, Hershey, Pennsylvania 17033

    ABSTRACT
Top
Abstract
Introduction
Methods
Results
Discussion
References

To obtain a physiological response by a total artificial heart (TAH), while eliminating the hemodynamic abnormalities commonly observed with its use, we proposed the use of a conductance- and arterial pressure-based method (1/R control) to determine TAH cardiac output. In this study, we endeavored to make use of a variable more closely tied to central nervous system (CNS) efferents, systemic conductance, to provide the CNS with more direct control over the output of the TAH. The control equation that calculates the target cardiac output of the TAH was constructed on the basis of measurement of blood pressures and TAH flow. The 1/R control method was tested in TAH-recipient goats with an automatic method by using a microcomputer. In 1/R control animals, the typical TAH pathologies, such as mild arterial hypertension and substantial systemic venous hypertension, did not occur. Cardiac output varied according to daily activity level and exercise in a manner similar to that observed in natural heart goats. These results indicate that we have determined a control method for the TAH that avoids hemodynamic abnormalities exhibited by other TAH control systems and that exhibits physiological responses to exercise and daily activities under the conditions tested. The stability of the control and the complete lack of inappropriate excursions in cardiac output is suggestive of CNS involvement in stabilizing the system.

central nervous system; 1/R control method

    INTRODUCTION
Top
Abstract
Introduction
Methods
Results
Discussion
References

NO ORTHOTOPIC TOTAL ARTIFICIAL HEART (TAH) developed to date is sensitive to either central nervous system (CNS) or endocrine signals. How a TAH should be controlled in the absence of these signals has been the subject of great debate since the beginning of artificial heart research.

Early TAH developers most commonly applied Starling's law to their designs (9). The Starling concept is important in postsurgical patient care and thus was attractive to the cardiac surgeons who typically led the development teams. Cardiac output (CO) dependence on central venous pressure (CVP) alone was easily implemented in artificial heart systems, often without the use of pressure transducers or electronic controls. Long-term survival of experimental animals was achieved by using pumps controlled according to venous pressure alone (8, 19, 20).

The animals generally suffered from hemodynamic abnormalities, including both systemic venous hypertension sufficient to cause marked hepatic congestion and slight arterial hypertension (8, 19, 20). Some believed that these problems were related to hypoperfusion or insufficient Starling sensitivity (19), cardiac receptor dysfunction (20, 11), or simply poor fit of the devices within the chest. Imachi et al. (12), however, showed that in adult goats COs necessary to maintain normal CVP were at times twice the normal level and that the animals in which the TAH output was elevated to maintain low venous pressures succumbed within 2 wk to peripheral circulatory insufficiency. Furthermore, they showed that long-term survival could be obtained by using normal CO regardless of CVP (7).

Pierce et al. (16) introduced peripheral vascular resistance as a correlate of metabolic demand and obtained the long-term survival by changing the TAH output according to changes in the aortic pressure (AoP). In this afterload-based system, CO was increased as the AoP decreased below the normal value (17). The elevation of CVP, however, was not prevented (5, 18).

In exercise, good results were obtained by using predictive methods in which CO was controlled according to the time profile of the natural heart's output in a normal animal undergoing the same level of exercise (10) or by using body motion as measured by acceleration sensors as an indication of exercise level (14). Neither of these methods, however, accounted for changes in CO that naturally occur independent of the exercise state.

Thus, a means of controlling the output of a TAH, in which the neurally and hormonally isolated device responds appropriately to metabolic demands and in a manner that results in the absence of hemodynamic abnormalities over the long term, has not been demonstrated in the past. In this study, we describe a method of controlling a TAH by monitoring pressure signals and TAH flow but in a manner that appears to provide a sufficient link between CNS efferents and CO to permit CNS control of the heart, resulting in elimination of hemodynamic abnormalities from and allowing a physiological response by the TAH.

    METHODS
Top
Abstract
Introduction
Methods
Results
Discussion
References

Control method (1/R control). The goal of the new control method is to provide the CNS, specifically the cardiovascular center, with control over the output of the TAH. Direct access to nerve signals was judged to be impractical at this time. As an alternative, we attempted to derive a signal, based only on measurement of blood pressures and knowledge of TAH flow, that would be closely tied to CNS efferents. It was our expectation that, by using such a signal to control TAH output, a control loop as described in Fig. 1 could be constructed and the CNS would become capable of controlling the artificial device.


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Fig. 1.   Concept of new control system. TAH, total artificial heart.

It has been suggested (6) that significant plasticity in the autonomic nervous system exists and may even be important in tuning physiological regulatory loops. If this is the case in the most general sense, one might expect that merely tying CO as directly as possible to an autonomic efferent will afford the CNS the ability to control the TAH as necessary. Given 1) the controversial nature of such claims, 2) the need for the TAH to provide acceptable flows immediately on implantation, without a waiting period for adaptation to occur, and 3) the fact that major changes in autonomic efferents to properly control the heart replacement might cause intolerable disruptions in vascular tone, we chose to avoid undue reliance on such principles. We endeavored to tie TAH output to CNS efferents in as similar a manner as possible to the natural control of the heart, to the extent this could be done in a reasonably simple system.

We determined that peripheral vascular resistance should be a good control signal. Total peripheral resistance changes markedly with changing CO, and these changes are mediated by the cardiovascular center, thus providing the link we required between artificial heart output and the relevant CNS center. In the intact natural heart system, vascular conductance remains roughly proportional to CO, so it is natural to use conductance (1/R; i.e., the reciprocal of the resistance), as the variable that determines CO in the artificial heart. Finally, it is possible, if challenging, to obtain arterial pressure, right atrial pressure (RAP), and flow measurements needed to compute the resistance.

Preliminary studies with pure conductance control were encouraging but revealed anomalous operations related to nonmetabolically mediated changes in peripheral resistance. Specifically, in animals that were frightened, e.g., when approached from the rear or with a hypodermic needle and, occasionally, in those that stood after a period of rest, peripheral resistance would rise and CO would fall accordingly. This was thought to be due to independent vasoconstrictive and vasodilatative effects (e.g., alpha - and beta -adrenergic effects).

To avoid undue reliance on autonomic plasticity, and avoid, as discussed above, creating a situation in which the chosen CO was obtained at the expense of anomalous vascular tone, we attempted to isolate the vasodilatative effects by using a parallel circuit conductance model. We express the total peripheral vascular conductance (1/TPR) as
1/TPR = (1/R)<SUB>0</SUB> + (1/R)<SUB>&agr;</SUB> + (1/R)<SUB>&bgr;</SUB> (Eq. 1)
where (1/R)0 is baseline conductance and (1/R)alpha and (1/R)beta are changes in conductance due to vasoconstrictive and vasodilatative efferents, respectively. Then, the requirement that
&Dgr;CO<SUB>TAH</SUB> ∝ (1/R)<SUB>&bgr;</SUB> (Eq. 2)
is satisfied by
CO<SUB>TAH</SUB> = <IT>f</IT>(p,<IT>t</IT>) ⋅ (1/TPR) + <IT>f</IT>(&agr;) (Eq. 3)
where COTAH is the output required for the TAH, f(p,t) is a gain, dependent on pressures and time, to be determined later, and f(alpha ) is a correction term (alpha  correction) intended to cancel the effect of vasoconstriction on total conductance as given in Eq. 1.

Substituting measured AoP, RAP, and flow (CO) for TPR
CO<SUB>TAH</SUB> = <IT>f</IT>(p,<IT>t</IT>) ⋅ <FENCE><FR><NU>CO</NU><DE>AoP − RAP</DE></FR></FENCE> + <IT>f</IT>(&agr;) (Eq. 4)
For the gain function, f(p,t), we chose a set-point perfusion pressure
<IT>f</IT>(p,<IT>t</IT>) = AoP<SUB>set</SUB> − RAP<SUB>set</SUB> (Eq. 5)
so that Eq. 4 becomes
CO<SUB>TAH</SUB> = (AoP<SUB>set</SUB> − RAP<SUB>set</SUB>) ⋅ <FENCE><FR><NU>CO</NU><DE>AoP − RAP</DE></FR></FENCE> + <IT>f</IT>(&agr;) (Eq. 6)
AoPset was taken to be the set point of baroreceptors and was determined by heavily filtering the measured AoP: at each measurement interval (T)
AoP<SUB>set</SUB>(<IT>t</IT>) = <IT>e</IT><SUP>−<IT>T</IT>/&tgr;</SUP> ⋅ AoP<SUB>set</SUB>(<IT>t</IT> − <IT>T</IT>) + (1 − <IT>e</IT><SUP>−<IT>T</IT>/&tgr;</SUP>) ⋅ AoP(<IT>t</IT>) (Eq. 7)
where the time constant tau  was set to 12 h in an attempt to capture the circadian rhythm in arterial pressure changes. AoPset was initialized to a nominal value (100 mmHg) when the control system was started. RAPset was taken to be the aggregate set point of the autonomic control loops involving atrial afferents and the atrial secretion of atrial natriuretic polypeptide and was determined at the time the control system was set up.

By using the approximation that vasoconstriction mainly affects arterial pressure, compensation for alpha  outflow was made proportional to departure from AoPset
<IT>f</IT>(&agr;) = CP ⋅ BW ⋅ (AoP − AoP<SUB>set</SUB>) (Eq. 8)
where BW is body weight. Substituting into Eq. 6 gives the final expression for the output of the TAH
CO<SUB>TAH</SUB> = (AoP<SUB>set</SUB> − RAP<SUB>set</SUB>) ⋅ <FR><NU>CO</NU><DE>AoP − RAP</DE></FR>  (Eq. 9)
+ CP ⋅ BW ⋅ (AoP − AoP<SUB>set</SUB>)
where AoPset is determined according to Eq. 7, and RAPset and CP are free parameters to be determined experimentally.

Preparation. Adult female goats weighing 38-54 kg were used for the experiments. The TAH was implanted under extracorporeal circulation. The natural heart was resected at the atrioventricular groove. Pump inflow cannulas were attached via atrial cuffs sutured to the remnant atria. The pulmonary outflow cannula was inserted into the pulmonary artery and ligated. The systemic outflow cannula was anastomosed end to side with the descending aorta; the ascending aorta was closed by using an arterial clamp. Pneumatically driven blood pumps (4) with a sac volume of 60 ml (Nihon Zeon, Tokyo, Japan) were connected to the cannulas and set outside the body on the chest wall (Fig. 2). A computer-controllable artificial heart drive unit (Corart 103C; Aisin Seiki, Aichi, Japan) was used.


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Fig. 2.   Schematic diagram of TAH system used in present study. LAH and RAH, left and right artificial heart ventricles, respectively; EMF, electromagnetic flowmeter; Ao, PA, LA, and RA: aorta, pulmonary artery, and left and right atrium, respectively; AoP, CO, LAP, and RAP: aortic pressure, cardiac output, left atrial pressure, and right atrial pressure, respectively.

Hemodynamic data were collected from three groups of goats. 1) In four goats (identified by their experimental nos. as goats 9107, 9111, 9206, and 9209), the TAH was operated by using 1/R control, as described above. We refer to this as the 1/R TAH group. 2) In three goats (goats 8811, 9005, and 9010), the TAH was set for a constant rate and pneumatic drive pressures. In these animals, CO necessary to obtain a pulmonary flow of 80-100 ml · min-1 · kg-1 at the time of implantation was computed, and the rate and drive pressures were set to obtain that flow rate. Thereafter, passive changes in output with changing preload and afterload were possible, but only over a limited range; CO is nearly constant. For simplicity, we refer to this as the constant-CO TAH group. 3) In three goats (goats 9002, 9007, and 9210), fluid-filled catheters and electromagnetic flow probes were placed, but the natural heart and its innervation were left intact. We refer to this as the natural heart group.

Measurement techniques. In the TAH recipients, CO was measured at the outlet cannula of the left ventricle by using an electromagnetic flowmeter (Nihon Koden, Tokyo, Japan), and the AoP, left atrial pressure (LAP), and RAP were measured by using pressure transducers (Nihon Koden) through fluid-filled side catheters built into the outlet port of the left pump and the atrial cuffs (Fig. 2). In the intact natural heart goats, CO was determined by electromagnetic flow measurement (Nihon Koden) at the ascending aorta, and pressures were measured via fluid-filled catheters at the descending aorta, left atrium and right atrium, and by pressure transducers (Nihon Koden). Heart rate was determined via an electrode at the right atrial appendage. In all animals, all pressure lines received slow, continuous infusions of heparinized saline to prevent clotting. Pressure transducers were affixed externally to the chest wall so that they remained near the level of the heart as the animal moved about.

Hemodynamic data were low-pass filtered (tau  = 3 s) to cancel the vibration caused by the movement of the animal or water hammer effects of the mechanical valves. The signals were then collected through an analog-to-digital converter into the microcomputer (PC9801VM2, NEC, Tokyo, Japan), and a mean of each was computed for each beat period. The averaged data were sampled every 2 s for analysis, implementation of the automatic control, and calculation of AoPset.

Collection of hemodynamic data for comparison among groups began after at least 2 wk of recovery from surgery. Data were collected during normal daily activities and during exercise sessions. The hemodynamic response with exercise was examined by using 3 min of treadmill exercise with treadmill speeds of 1.33, 2.88, and 4.6 km/h.

Calculation of CP. The alpha  correction, CP, was calculated by using data obtained from the three natural heart goats. Equation 9 was recast as follows
CO<SUB>calc</SUB> = (<OVL>AoP</OVL> − <OVL>RAP</OVL>) ⋅ <FR><NU>CO</NU><DE>AoP − RAP</DE></FR>  (Eq. 10)
+ CP ⋅ BW ⋅ (AoP − <OVL>AoP</OVL>)
where <OVL>AoP</OVL> and <OVL>RAP</OVL> are the mean AoP and RAP over the entire data-recording session, respectively. COcalc is the CO predicted by the control equation.

All data were averaged over 30-s intervals to remove any fluctuations due to the respiratory cycle. The 30-s average data were picked up every 3 min for the calculation of CP. By numerical means, we determined the value of CP that minimized the discrepancy between COcalc and CO.

1/R control protocol. The pneumatically driven sac-type blood pumps were actuated by alternate application of positive air pressure to effect systole, followed by negative pressure to effect diastole. Changing the positive and negative drive air pressures changes the rates at which the sacs collapse and refill. As the beat rate is varied, so is the amount of time spent in systole and diastole, and thus the stroke volumes of the pumps are affected. As the beat rate was varied, the stroke volume was controlled by titrating the pneumatic drive pressures. The percent systole was fixed in each animal at 45-50. This narrow range was sufficient to compensate for the small variations in surgical placement of the inflow and outflow cannulas, which caused some variation among subjects in the relative ease of ejection and filling of the pumps. Left and right pumps were run at identical rates. The pump rate and pneumatic drive pressures were controlled by the same microcomputer used to collect the hemodynamic data (Fig. 3).


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Fig. 3.   Schematic diagram of automatic control system of TAH. L, left; R, right; 1/R, conductance- and arterial pressure-based method.

The left blood pump was maintained at a constant stroke volume, SVset. Unlike the natural heart, the artificial heart requires active control over left-right balance. Balance was enforced by manipulation of the right pump stroke volume to maintain a fixed relationship between LAP and RAP
LAP = <IT>a</IT> ⋅ RAP + <IT>b</IT> (Eq. 11)
where a and b are constants determined in each animal to keep LAP below 10 mmHg. In the absence of abnormally high RAP, a was set to one and b was set according to the difference in the height of the two atria in the individual animal, to keep the filling pressures of the left and right pumps equal.

Both enforcement of the constant left-pump stroke volume and control of right-pump stroke volume to maintain the left-right balance relationship of Eq. 11 were achieved by using the following control logic
 If LAP > <IT>a</IT> ⋅ RAP + <IT>b</IT>
 and SV > SV<SUB>set</SUB>
  then decrease the right pump drive pressures
 and SV < SV<SUB>set</SUB>
  then increase the left pump drive pressures
 If LAP < <IT>a</IT> ⋅ RAP + <IT>b</IT>
 and SV > SV<SUB>set</SUB>
  then decrease the left pump drive pressures
 and SV < SV<SUB>set</SUB>
  then increase the right pump drive pressures
 Else no change.
where SV refers to the measured stroke volume of the left pump. In essence, the control addresses a discrepancy in LAP by adjusting the left or right pump, depending on whether the left-pump stroke volume is above or below the desired value. The balance and stroke volume control algorithm was executed every 2 s.

With the left-pump stroke volume kept constant at SVset, the CO was set by calculating the required CO according to Eq. 9 and setting the pulse rate to
PR = <FR><NU>CO<SUB>TAH</SUB></NU><DE>SV<SUB>set</SUB></DE></FR> (Eq. 12)
where PR is pulse rate. A new CO value was calculated and a new pulse rate was set in the artificial heart drive unit every 6 s.

    RESULTS
Top
Abstract
Introduction
Methods
Results
Discussion
References

Determination of CP. Figure 4 shows correlation of measured with COcalc for various values of CP. As Fig. 4 shows, CP values from 0.8 to 1.1 resulted in the best regression results (from 0.912 to 0.955) and the closest agreement between calculated and observed values (slope close to 1 and intercept close to 0).


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Fig. 4.   Results of calculations by using data of natural heart goats: goats 9002 (left), 9007 (middle), and 9210 (right). A-C: results with alpha  correction (CP) = 0; D-F: results with CP = 0.8-1.1.

Control stability. In any control system, particularly one involving multiple control loops and implemented in a sampled fashion, control stability is a potential problem. In the four 1/R control experiments, control system function was eventually lost due to obstruction of one or more pressure measurement catheters. In these 1/R TAH animals, stable operation of the control system was maintained for 65, 21, 41, and 340 days, as described herein.

Stable control required CP values between 0.4 and 0.8. When CP was larger than 0.8, large excursions in CO, both hyper- and hypoperfusion, were seen in response to the small changes in pressure transducer offset that occurred with postural changes. When CP was <0.4, marked hypoperfusion occurred in response to the sharp rises in AoP that sometimes occurred during urination, receipt of injections, or at the onset of treadmill exercise. CP was typically fixed at 0.6 because stable operation was obtained in all animals at this setting.

Figure 5 shows the correlation of 24-h mean RAP with RAPset. As indicated at the beginning of this study, aberrant regulation of extracellular volume, characterized by steadily increasing CVP, is regularly observed in TAH-recipient animals. In the 1/R control subjects, the RAP reliably stabilized at a value related to RAPset, as indicated by the narrow error bars in Fig. 5. RAPset values of 4-12 mmHg resulted in RAP values consistently below 15 mmHg. With RAPset above 12 mmHg, excursions in measured RAP above 20 mmHg were observed. With RAPset below 4 mmHg, the excursions in measured RAP below zero were encountered, resulting in insufficient filling pressures to maintain the required CO. Typically, RAPset was fixed between 6 and 8 mmHg. At this setting, the right-pump filling pressure was sufficient to obtain the required CO.


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Fig. 5.   Relationship between 24-h mean RAP (<OVL>RAP</OVL>) and aggregate set point of autonomic control loops involving atrial afferents and atrial secretion of atrial natriuretic polypeptide determined when control system was set up (RAPset). n, No. of 24-h mean RAP.

No pulmonary edema was observed in any of the 1/R control animals. LAP was well controlled below 10 mmHg with the left-right balance control strategy described above.

Hemodynamic changes. Figure 6 shows typical hemodynamic changes over 24 h in the natural heart, constant-CO TAH, and 1/R TAH goats. Each data point represents a 30-s average. Points are plotted at 3-min intervals. The most striking differences among the groups occurred in CO. In the constant-CO group, changes in CO were very small over a 24-h period. In the natural heart and 1/R groups, CO tended to be lower when the goats were at rest and higher when they were standing or eating.


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Fig. 6.   Hemodynamic changes in natural heart (A; goat 9002), constant-CO TAH (B; goat 9005), and 1/R TAH (C; goat 9209) goats.

Figure 7 shows 24 h (means ± SD) of CO, AoP, and RAP in all goats. There were no significant differences among groups with regard to mean CO. Significant elevations in AoP and RAP (both P < 0.01) were observed in the constant-CO group when compared with the natural heart group. The 1/R group showed no significant difference from the natural heart group.


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Fig. 7.   Twenty-four-hour averages (means ± SD) of CO (A), AoP (B), and RAP (C) in all goats.

In treadmill exercise, goats in the natural heart and 1/R groups exhibited increases in CO. Figures 8 and 9 show exercise data in a 1/R goat (goat 9209) and a natural heart goat (goat 9002). These animals had similar physiques and body weights (1/R: 48 kg, natural heart: 43 kg). Figure 8 shows the comparative changes in CO, percent increase in heart rate, and percent change in stroke volume in both goats during the exercise session. Percent change in heart rate was computed relative to the last 30-s average before the onset of treadmill exercise. Percent change in stroke volume was computed relative to the last 30-s average before the onset of treadmill exercise for the natural heart and relative to the SVset control setting in the 1/R TAH goats.


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Fig. 8.   Comparative changes in CO, %increase in heart rate (pulse rate), and %stroke volume between a 1/R goat (goat 9209) and a natural heart goat (goat 9002) with treadmill exercise. Treadmill speed was 2.88 km/h.


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Fig. 9.   Comparative increase in CO (A) and comparative elevation in AoP (B) and RAP (C) between an 1/R goat (goat 9209) and a natural heart goat (goat 9002) with treadmill exercise.

CO changes with the 1/R method are strikingly similar to those observed with the natural heart, although a delay of ~30 s is apparent in the 1/R system relative to the natural heart. No such delay is seen in the heart rate, but the delay is observed in the stroke volume data. Thus it appears that the speed of the stroke volume control loop is responsible for a lag in the 1/R TAH control.

Figure 9 shows relative changes in AoP and RAP, calculated relative to the last preexercise 30-s average in each animal. At 2.88 km/h, there was no significant difference between the two goats. At 4.6 km/h, the TAH had reached its maximum pump output of 8 l/min (167 ml · kg-1 · min-1 in this goat), less than that provided by the natural heart. Accordingly, there was an increase in RAP in the 1/R goat (P < 0.05).

    DISCUSSION
Top
Abstract
Introduction
Methods
Results
Discussion
References

It is not presently feasible to provide an artificial heart with the complete repertoire of natural heart responses because 1) continuous, long-term measurement of the natural heart's control signals, particularly neural and endocrine influences, has not been realized, and 2) even if such measurements were available, we have not yet uncovered a suitably detailed description of the natural heart's responses to all possible combinations of these signals (i.e., we do not have an accepted set of control equations for the natural heart). Previously, TAH developers have attempted to control their devices by using hemodynamic parameters that are thought to represent or correlate with metabolic requirements, such as RAP (venous return) and changes in AoP (roughly, peripheral resistance). It has proved difficult, however, to find a single simply measured parameter that correlates well with the natural CO over the range of conditions and states encountered.

The concept of 1/R control grew out of the hypothesis that if we can provide a means by which the cardiovascular center can control the TAH, then metabolic requirements will be met, regardless of whether our control signal is precisely predictive of natural CO. We found vascular conductance to be a viable candidate for such a control signal (1-3), when modified in an attempt to respond to metabolically mediated vasodilation while ignoring transient vasoconstriction related solely to environmental or physiological factors. Significantly, although preload-based control systems have been found consistently to result in CO rising inevitably to the maximum available from the pump (12), use of 1/R control yielded stable CO and arterial pressures, which varied according to exercise and daily activity level in a manner similar to that observed in control animals having intact natural hearts.

We should emphasize the necessity of CP for the function of 1/R control. It is this arterial pressure-based correcting term that isolates vasodilatative responses and distinguishes 1/R control clearly from previously attempted afterload controls (17). In the control system previously described (17), sensitivity to afterload changes is intentionally kept low to avoid unwanted excursions in CO at the onset or cessation of activity or on changes in posture. Similarly, we observed unacceptable transient increases or decreases in CO when the alpha  correcting term was absent (or was far too small). Unwanted transients that occurred at the CP gain predicted by curve fitting to natural heart data were triggered by positional shifts in pressure transducers relative to the heart. We expect that, with pressure sensors located more intimately to the heart, the curve-fit CP value could have been used. Nonetheless, stable control was obtained with somewhat lower CP value.

The 1/R system made use of the simplification that there was a fixed RAPset. It is expected in any TAH implantation that mechanical disruption of the right atrium can disturb any natural afferents from that area. Vasku (21) reported receptor abnormalities in the right atrium after TAH placement in calves. Olsen et al. (15) and Mabuchi et al. (13) reported abnormalities in atrial natriuretic polypeptide secretion in TAH-recipient animals. Acceptable function was obtained by assuming a constant RAPset. The instantaneous RAP varied over the course of each day and according to activity, but the 24-h mean remained close to the RAPset value without the need for medical intervention. This should be contrasted to the constant CO results and with prior experience with other systems (5, 7, 8, 11, 12, 18-21), in which RAP was observed to rise to abnormally high levels and medical intervention was typically necessary to prevent fluid overload. This is an interesting observation, because, whereas in the conception of the control system we thought of RAPset as the aggregate set point of the natural loop that incorporates the right atrial stretch receptors, the control system does not explicitly control RAP. Proper function of the system required that RAP be sufficient to provide sufficient preload to the TAH so that required CO were available.

The linear relationship that was used between RAP and LAP resulted in sufficiently low LAP values that no clinical evidence of pulmonary edema was detected. The linear relationship was intended to approximate Starling's law's control over left-right balance that occurs in the natural heart. This appears to be a sufficiently effective balance control for the TAH.

It is well known that local autoregulation has an important influence on blood flow distribution and that, when it involves a sufficiently large tissue bed, TPR can be affected as well. In attempting to isolate vasodilatation from the peripheral resistance signal, we have ignored the influence of local phenomena. This appears not to have adversely affected the stability of the control system or the appropriateness of the CO that resulted.

Of greatest significance is the lack of observation of typical TAH pathologies (mild arterial hypertension, substantial systemic venous hypertension) in the 1/R TAH recipients, whereas the fixed-rate subjects did exhibit these pathologies despite the lack of any significant deficiency in cardiac index (Fig. 7). The similarity between 1/R and intact heart responses to exercise are striking and also without precedent in TAH devices controlled by hemodynamic measurements. The limitation of the TAH output to 8 l/min, less than the capacity of the intact hearts, limited the scope of the exercise measurements, but the 1/R TAH did, appropriately, remain at its maximum output under conditions for which the natural heart output was greater.

We are interested in determining to what extent autonomic learning or adaptation phenomena occurred in these animals vs. our having merely discovered a more appropriate heuristic than has been used previously. Because a reasonable CO during the period of postoperative recovery and adaptation to the TAH is important to the animal's survival, and because the efferents by which we expected the CNS to gain control over the TAH influence other important aspects of hemodynamics, we required that our control signal be reasonably predictive of natural CO. Thus, although we succeeded in our effort to devise a good physiological control system for the TAH, we cannot claim to have shown that autonomic learning or adaptation was involved in these studies. However, the stability of the control, and the absence of inappropriate excursions in CO once the CP value was adjusted, is suggestive of active involvement of the CNS in stabilizing the system. This result is of direct relevance to those interested in devising control systems for artificial hearts and may also be of significance to those interested in further elucidating the nature of CNS control over the circulatory system.

Future studies in development of this TAH control system should concentrate on obtaining a better understanding of the ranges of controller parameters for which desirable behavior occurs, in both the short and long term. Studies of response to more severe exercise, exceeding the maximum capacity of the artificial heart, will be useful in verifying the stable behavior of the system at its limits. Studies involving responses to vasoactive drugs may aid in determining the degree of duplication of natural cardiac responses, beyond those situations routinely encountered in normal internally mediated physiology and routine interactions with the environment. Such studies must make use of drugs having purely vascular effects so that cardiac effects in the natural heart control group do not cloud their interpretation.

    FOOTNOTES

Address for reprint requests: Y. Abe, Institute of Medical Electronics, Faculty of Medicine, Univ. of Tokyo., 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan (E-mail: abe{at}bme.rcast.u-tokyo.ac.jp).

Received 30 September 1996; accepted in final form 30 October 1997.

    REFERENCES
Top
Abstract
Introduction
Methods
Results
Discussion
References

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JAP 84(3):868-876
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