The role of inotropic variation in ventricular function during atrial fibrillation

Model-Based Quantification of Left Ventricular Diastolic Function in Critically Ill Patients with Atrial Fibrillation from Routine Data: A Feasibility Study

Introduction

Left ventricular diastolic dysfunction (LVDD) and atrial fibrillation (AF) are connected by pathophysiology and prevalence. LVDD remains underdiagnosed in critically ill patients despite potentially significant therapeutic implications since direct measurement cannot be performed in routine care at the bedside, and echocardiographic assessment of LVDD in AF is impaired. We propose a novel approach that allows us to infer the diastolic stiffness, β, a key quantitative parameter of diastolic function, from standard monitoring data by solving the nonlinear, ill-posed inverse problem of parameter estimation for a previously described mechanistic, physiological model of diastolic filling. The beat-to-beat variability in AF offers an advantageous setting for this.

Methods

By employing a global optimization algorithm, β is inferred from a simple six parameter and an expanded seven parameter model of left ventricular filling. Optimization of all parameters was limited to the interval ]0, 400[ and initialized randomly on large intervals encompassing the support of the likelihood function. Routine ECG and arterial pressure recordings of 17 AF and 3 sinus rhythm (SR) patients from the PhysioNet MGH/MF Database were used as inputs.

Results

Estimation was successful in 15 of 17 AF patients, while in the 3 SR patients, no reliable estimation was possible. For both models, the inferred β (0.065 ± 0.044 ml⁻¹ vs. 0.038 ± 0.033 ml⁻¹ (p=0.02) simple vs. expanded) was compatible with the previously described (patho) physiological range. Aortic compliance, α, inferred from the expanded model (1.46 ± 1.50 ml/mmHg) also compared well with literature values.

Conclusion

The proposed approach successfully inferred β within the physiological range. This is the first report of an approach quantifying LVDF from routine monitoring data in critically ill AF patients. Provided future successful external validation, this approach may offer a tool for minimally invasive online monitoring of this crucial parameter.

Towards an understanding of the mechanics underlying aortic dissection

Acute aortic dissection and associated aortic catastrophes are among the most devastating forms of cardiovascular disease, with a remarkably high morbidity and mortality despite current medical and surgical treatment. The mechanics underlying aortic dissection are incompletely understood, and a further understanding of the relevant fluid and solid mechanics may yield not only a better appreciation of its pathogenesis, but also the development of improved diagnostic and therapeutic strategies. After illustrating some of the inadequacies with respect to the extant work on the mechanics of aortic dissection, we alternatively postulate that the clinical hemodynamic disturbances that render the aorta susceptible to the initiation of dissection are principally elevated maximum systolic and mean aortic blood pressure, whereas the hemodynamic disturbances that facilitate propagation of dissection are principally elevated pulse pressure and heart rate. Furthermore, abnormal aortic mechanical properties and/or geometry are requisite for dissection to occur. Specifically, we propose that the degree of anisotropy will directly influence the probability of future aortic dissection. Imaging of the aorta may provide information regarding aortic anisotropy and geometry, and in combination with a hemodynamic risk assessment, has the potential to be able to prospectively identify patients at high risk for future aortic dissection thereby facilitating prophylactic intervention. The aim of the paper is to identify the main mechanical issues that have a bearing on aortic dissection, and to suggest an appropriate mathematical model for describing the problem.

Determinants of LV diastolic function during atrial fibrillation: beat-to-beat analysis in acute dog experiments

Left ventricular (LV) diastolic function during atrial fibrillation (AF) remains poorly understood due to the complex interaction of factors and beat-to-beat variability. The purpose of the present study was to elucidate the physiological determinants of beat-to-beat changes in LV diastolic function during AF. The RR intervals preceding a given cardiac beat were measured from the right ventricular electrogram in 12 healthy open-chest mongrel dogs during AF. Doppler echocardiography and LV pressure and volume beat-to-beat analyses were performed. The LV filling time (FT) and early diastolic mitral inflow velocity-time integral (E(vti)) were measured using the pulsed Doppler method. The LV end-diastolic volume (EDV), peak systolic LV pressure (LVP), minimum value of the first derivative of LV pressure curve (dP/dt(min)), and the time constant of LV pressure decay (tau) were evaluated with the use of a conductance catheter for 100 consecutive cardiac cycles. Beat-to-beat analysis revealed a cascade of important causal relations. LV-FT showed a significant positive linear relationship with E(vti) (r = 0.87). Importantly, there was a significant positive linear relationship between the RR interval and LV-EDV in the same cardiac beat (r = 0.53). Consequently, there was a positive linear relationship between LV-EDV and subsequent peak systolic LVP (r = 0.82). Furthermore, there were significant positive linear and negative curvilinear relationships between peak systolic LVP and dP/dt(min) (r = 0.95) and tau (r = -0.85), respectively, in the same cardiac beat. In addition, there was a significant negative curvilinear relationship between dP/dt(min) and tau (r = -0.86). We have concluded that the determinants of LV diastolic function in individual beats during AF depend strongly on the peak systolic LVP. This suggests that the major benefit of slower ventricular rate appears related to lengthening of LV filling interval, promoting subsequent higher peak systolic LVP and greater LV relaxation.

Slow rate during AF improves ventricular performance by reducing sensitivity to cycle length irregularity

Atrial fibrillation (AF) is characterized by short and irregular ventricular cycle lengths (VCL). While the beneficial effects of heart rate slowing (i.e., the prolongation of VCL) in AF are well recognized, little is known about the impact of irregularity. In 10 anesthetized dogs, R-R intervals, left ventricular (LV) pressure, and aortic flow were collected for >500 beats during fast AF and when the average VCL was prolonged to 75%, 100%, and 125% of the intrinsic sinus cycle length by selective atrioventricular (AV) nodal vagal stimulation. We used the ratio of the preceding and prepreceding R-R intervals (RR(p)/RR(pp)) as an index of cycle length irregularity and assessed its effects on the maximum LV power, the minimum of the first derivative of LV pressure, and the time constant of relaxation by using nonlinear fitting with monoexponential functions. During prolongation of VCL, there was a pronounced decrease in curvature with the formation of a plateau, indicating a lesser dependence on RR(p)/RR(pp). We conclude that prolongation of the VCL during AF reduces the sensitivity of the LV performance parameters to irregularity.

Assessment of LV systolic function in atrial fibrillation using an index of preceding cardiac cycles

The clinical assessment of left ventricular (LV) systolic function during atrial fibrillation (AF) is unreliable and difficult because of beat-to-beat variability. We evaluated an index for the estimation of LV systolic function in AF that is based on the relationship between the preceding (R-R1) and prepreceding (R-R2) R-R intervals. LV Doppler stroke volume (SV), ejection fraction (EF), peak aortic flow rate (AoF) and the maximum value of the first derivative of the LV pressure curve (dP/dt(max)) were evaluated in 13 healthy open-chest dogs during triggered AF. All parameters showed a significantly strong positive linear relationship with the ratio of R-R1/R-R2 (r = 0.65, 0.74, 0.75, and 0.70 for SV, EF, AoF, and dP/dt(max), respectively). The calculated value of LV systolic parameters at R-R1/R-R2 = 1 in the linear regression line showed a good relationship and an agreement with the measured average value of the parameter over all cardiac cycles (SV, 12.1 vs. 12.8 ml; EF, 49.6 vs. 51.2%; AoF, 1.37 vs. 1.48 l/min; and dP/dt(max), 2,323 vs. 2,454 mmHg/s). Using the LV systolic parameters estimated at R-R1/R-R2 = 1 in the linear regression line allows the LV contractile function to be accurately and reproducibly evaluated during AF and obviates the less-reliable process of averaging multiple cardiac cycles.

Left ventricular beat to beat performance in atrial fibrillation: dependence on contractility, preload, and afterload

OBJECTIVE

To assess independent determinants of beat to beat variation in left ventricular performance during atrial fibrillation.

DESIGN

Prospective study.

SETTING

University hospital.

PATIENTS

Seven patients with chronic non-valvar atrial fibrillation.

INTERVENTIONS

Invasive and non-invasive haemodynamic variables were assessed using a non-imaging computerised nuclear probe, a balloon tipped flow directed catheter, and a non-invasive fingertip blood pressure measurement system linked to a personal computer.

MAIN OUTCOME MEASURES

Left ventricular ejection fraction, left ventricular volume, ventricular cycle length, pulmonary capillary wedge pressure, and measures of left ventricular afterload (end systolic pressure/stroke volume) and contractility (end systolic pressure/end systolic volume) were calculated on a beat to beat basis during 500 consecutive RR intervals. A statistical model of the beat to beat variation of the ejection fraction containing these variables was constructed by multiple regression analysis.

RESULTS

Positive independent relations with ejection fraction were found for preceding RR interval, contractility, and end diastolic volume, while inverse relations were found for afterload, preceding end systolic volume, and preceding contractility (all variables, p < 0. 0001). A relatively strong interaction was found between end diastolic volume and afterload, indicating that ejection fraction was relatively more enhanced by preload in the presence of low afterload.

CONCLUSIONS

The varying left ventricular systolic performance during atrial fibrillation is independently influenced by beat to beat variation in cycle length, preload, afterload, and contractility. Beat to beat variation in preload shows its effect on ventricular performance mainly in the presence of a low afterload.

Interval-force relation is unaffected by the presence of cardiomyopathy or coronary artery disease in patients with atrial fibrillation

BACKGROUND

We tested the hypothesis that cycle length-dependent cardiac contractility in atrial fibrillation is primarily governed by the negative interval-force relation in patients with normal and depressed systolic function.

METHODS AND RESULTS

We performed two-dimensional guided M-mode echocardiography in 41 patients (mean age, 69 +/- 4 years; range, 48 to 92 years; 19 men, 11 women). Twelve patients had objective evidence of left ventricular systolic dysfunction (CMP; mean ejection fraction, 37% +/- 7%) in the absence of coronary artery disease (CAD), 13 patients had documented CAD (mean ejection fraction, 43% +/- 6%), and 16 patients had normal resting left ventricular systolic function (mean ejection fraction, 58% +/- 7%). Simultaneous beat-to-beat blood pressure, end-systolic and end-diastolic dimension, circumferential velocity of fiber shortening (Vcf), and end-systolic wall stress (ESWS) were calculated for all patients. All three groups showed a significant linear relation between beat-to-beat Vcf and Vcf corrected for afterload (represented as the Vcf/ESWS ratio) and preceding cycle length. There was, however, no significant difference in the relation between either of these variables and cycle length among the three groups. There was also no difference in the rate of change in either Vcf or Vcf corrected for afterload (Vcf/ESWS ratio) from beat-to-beat among the three groups. Control patients with normal systolic function showed greater Vcf at any given cycle length compared with patients with CMP or CAD.

CONCLUSION

Our data show that, for each beat in atrial fibrillation, Vcf and Vcf/ESWS ratio are decreased after shorter cycle lengths and increased after long cycles, but there is no significant attenuation of this effect in patients with systolic dysfunction with or without coronary disease compared with controls. Thus, the negative interval-force relation, the predominant determinant of beat-to-beat variation in contractility in atrial fibrillation, is preserved in patients with CAD or reduced left ventricular systolic function.

Myocardial contractility is not constant during spontaneous atrial fibrillation in patients

BACKGROUND

The variation in stroke volume and pulse pressure characteristic of atrial fibrillation is usually ascribed to time-dependent ventricular filling, implying a single positive relationship between end-systolic pressure and volume, which defines a single state of myocardial contractility. We tested the hypothesis that contractility also varies.

METHODS AND RESULTS

We measured the left ventricular pressure and volume continuously with a conductance catheter with catheter-tip micromanometer introduced retrogradely into the left ventricle. The end-systolic pressure-volume relationship was determined in 6 patients in atrial fibrillation undergoing cardiac catheterization for diagnostic purposes and 4 control patients in sinus rhythm undergoing coronary artery bypass graft surgery. The normal positive relationship between end-systolic pressure and volume was found in the control patients, but no such positive relationship was found in any patient in atrial fibrillation. In the latter, the slopes of the linear regressions were either not significantly different from zero or significantly negative (r values <0.08), both results indicating a change in contractility from beat to beat. Significantly negative relationships were found between end-systolic volume and preceding R-R interval (-0.82<r<-0.24), indicating the presence of mechanical restitution. Significantly positive relationships were found between end-systolic volume and the R-R interval before the preceding R-R interval (0.35<r<0.74), indicating the presence of postextrasystolic potentiation.

CONCLUSIONS

Myocardial contractility is constantly changing from beat to beat in atrial fibrillation because of the influence of the force-interval relationships.

Cardiac performance early after cardioversion from atrial fibrillation

BACKGROUND

The mechanism for early improvement in cardiac function after cardioversion from atrial fibrillation is unknown.

METHODS

We measured ventricular volumes and load-independent contractility during atrial fibrillation and within 24 hours after cardioversion to sinus rhythm in 15 adult patients (10 men, 5 women; mean age 63+/-4 years, range 31 to 81 years). Duration of atrial fibrillation ranged from <1 day to 6 months.

RESULTS

After cardioversion, left ventricular ejection fraction increased from 51%+/-4% to 61%+/-4% (P=.001, 95% confidence intervals for the difference, 7% to 15%), stroke volume increased from 57+/-4 mL to 76+/-6 mL (P < .001, 95% confidence intervals 8 to 32 mL), and mean cycle length increased from 0.77+/-.04 seconds in atrial fibrillation to 1.02+/-.04 seconds in sinus rhythm (P=.002, 95% confidence intervals, 0.1 to 0.4 seconds). Cardiac contractility, as expressed by the slope and the intercept of the relation between rate-corrected circumferential velocity of fiber shortening and end-systolic wall stress (Vcfc/ESWS) remained unaltered in 13 of 15 patients, suggesting that intrinsic inotropic state was unchanged immediately after return of normal sinus rhythm. Finally, a significant correlation was observed between improvement in stroke volume and peak A-wave velocity (r=0.79, P=.035).

CONCLUSION

Both left ventricular stroke volume and ejection fraction increase immediately after cardioversion, whereas intrinsic cardiac contractility is largely unchanged. These data suggest that the mechanism of this increase is enhanced left ventricular diastolic filling due mostly to increased cycle length and return of left atrial mechanical function.

Postextrasystolic left ventricular isovolumic pressure decay is not monoexponential

OBJECTIVE

The relationship between the left ventricular (LV) relaxation time constant and early diastolic filling is not fully defined. This study provides additional evidence that LV isovolumic pressure fall in the normal intact heart in response to certain interventions is not adequately described by a model of monoexponential decay and that its relationship to filling is complex.

METHODS AND RESULTS

To gain further insight into the relationship between LV relaxation and early rapid filling we measured LV isovolumic relaxation rate, peak early filling velocity (E), LV volumes, and transmitral pressures at baseline and in the first postextrasystolic beat after a short-coupled extrasystole in 9 anesthetized dogs. Postextrasystolic isovolumic relaxation rate was slowed as measured by 3 commonly used time constants, while E was increased 32%. LV contractility and peak pressure were also increased, while LV end-systolic volume was decreased. LV minimum pressure was deceased, while the early diastolic transmitral pressure gradient was increased. Although all relaxation time constants measured over the entire isovolumic relaxation phase indicated slowed relaxation, direct measurement of isovolumic relaxation time indicated no change in relaxation rate. Calculation of the time constants and direct measurement of isovolumic relaxation time during early isovolumic pressure decay indicated slowed postextrasystolic pressure decay rate compared with baseline, while calculation of time constants and direct measurement of isovolumic relaxation time during late isovolumic relaxation indicated augmented postextrasystolic pressure decay rate versus baseline.

CONCLUSIONS

This non-exponential behavior of LV isovolumic pressure decay in postextrasystolic beats after short-coupled extrasystoles provides further evidence that the relationship that exists between ventricular relaxation and early filling is not simple. The results are interpreted in terms of current theoretical formulations that attribute control of myocardial relaxation to the interaction between inactivation-dependent and load-dependent mechanisms.

Effect of an irregular ventricular rhythm on cardiac output

Impairment of cardiac function in atrial fibrillation has been attributed to loss of atrial contraction and to a rapid ventricular rate. The results of this study suggest that irregularity of the ventricular rhythm, independent of the ventricular rate, may also contribute to impairment of cardiac function during atrial fibrillation.

Left ventricular beat-to-beat performance in atrial fibrillation: contribution of Frank-Starling mechanism after short rather than long RR intervals

OBJECTIVES

This study sought to evaluate control mechanism of the varying left ventricular performance in atrial fibrillation.

BACKGROUND

Atrial fibrillation is characterized by a randomly irregular ventricular response, resulting in continuous variation in left ventricular beat-to-beat mechanical behavior and hemodynamic variables.

METHODS

Fourteen patients with chronic nonvalvular atrial fibrillation were studied, using a nonimaging computerized nuclear probe linked to a personal computer. Left ventricular ejection fraction, end-diastolic and end-systolic volume counts, stroke volume counts and filling time were calculated on a beat-to-beat basis during 500 consecutive RR intervals. Multiple regression analysis was used to assess how ejection fraction was predicted by these variables.

RESULTS

The preceding RR interval and end-diastolic volume showed a positive relation, and prepreceding interval and end-systolic volume an inverse relation, with ejection fraction (all p < 0.001). Sensitivity analysis suggested that the preceding interval and the end-diastolic volume were equally important in predicting ejection fraction. There was a relatively strong interaction between the preceding interval and end-diastolic volume, indicating that the influence of the end-diastolic volume on ejection fraction was diminished after long intervals. A second interaction showed that the effect of end-diastolic volume on ejection fraction was attenuated after short prepreceding cycles.

CONCLUSIONS

Cycle length-dependent contractile mechanisms, including postextrasystolic potentiation and mechanical restitution, determine the varying left ventricular systolic performance during atrial fibrillation over the entire range of intervals. Beat-to-beat changes in preload, consistent with the Frank-Starling mechanism, also play a role, but their influence is diminished after long preceding and short prepreceding intervals.

An echocardiographic study of atrial fibrillation in horses: before and after conversion to sinus rhythm

Two-dimensional and M-mode echocardiograms were recorded from 41 horses before they were successfully treated for atrial fibrillation. In addition, these examinations were performed in a subgroup of 20 horses after treatment, and the results were compared with pretreatment values. Atrial fibrillation in this group of horses was associated with a reduction of mean left ventricular fractional shortening (mean 31% +/- 5.24%), and 22 of the 41 horses were below the reference range. The remaining mean M-mode variables were within the normal reference range, although 12 horses had increased left ventricular lumen dimensions in systole, and 8 horses had decreased left ventricular ejection times. Abnormal motion of the mitral valve was present in all horses and was characterized by the absence of A peaks, which were replaced by small diastolic undulations in 55% of the horses. In horses 1 to 20, after conversion to sinus rhythm, the mean fractional shortening increased (35.34% +/- 5.4%, P = .004), but there were no significant differences in heart rate or left ventricular lumen diameters in systole or diastole. These results suggest that ventricular function may be compromised by the presence of atrial fibrillation. However, this improved after correction of the arrhythmia.

Postextrasystolic potentiation and its contribution to the beat-to-beat variation of the pulse during atrial fibrillation

BACKGROUND

Beat-to-beat variations in the pulse during atrial fibrillation (AF) have conventionally been attributed to time-dependent changes in filling. We have explored the possibility that they are dependent on the intrinsic myocardial interval force relation.

METHODS AND RESULTS

Left ventricular (LV) contractility (maximum rate of rise of pressure, LV dP/dtmax) and ascending aortic blood velocity were measured during cardiac catheterization in 15 patients with AF. Beats preceded by an interval of less than 500 msec were excluded from analysis to reduce the confounding influence of incomplete mechanical restitution. The LV dP/dtmax was then related to the prepreceding interval. An inverse relation consistent with postextrasystolic potentiation was obtained in all 15 patients (Spearman's rank correlations, -0.56 to -0.86; p less than or equal to 0.0001). This relation was confirmed in three patients during pacing that overrode the AF and introduced single-interval variations into steady-state pacing. The ECG sequences from six of the AF patients were used to drive isometrically contracting guinea pig papillary muscle and human right ventricular tissue (n = 7); the same inverse relation was demonstrated. On a beat-by-beat basis, the maximum rate of rise of force in the isolated muscle correlated well with LV dP/dtmax in the patients (r = 0.50-0.86, p less than or equal to 0.0001). The relation of the integral of aortic velocity (AVI, proportional to stroke volume) to prepreceding interval was also inverse, whereas important correlations were demonstrated between LV dP/dtmax and AVI (Spearman's rank correlations, 0.27-0.95; p less than or equal to 0.0001).

CONCLUSIONS

This study demonstrates that postextrasystolic potentiation contributes to the characteristic beat-to-beat variation of the pulse in AF.

Superior vena cava flow and tricuspid anular motion after cardioversion of atrial fibrillation, and role of right atrial relaxation on systolic venous return

To determine whether atrial relaxation or systolic descent of the tricuspid anulus is the predominant factor determining systolic venous return, 22 patients with atrial fibrillation were studied. Venous return (i.e., superior vena cava (SVC) flow) was measured using pulsed Doppler echocardiography. Systolic descent of the tricuspid anulus (i.e., total excursion of tricuspid anulus during systole) was also measured using echocardiography. Serial examinations were performed before and after cardioversion of atrial fibrillation in 15 patients. In 11 patients, both the total excursion of the tricuspid anulus and SVC flow were examined in relation to the ratio of the preceding to the pre-preceding RR interval (R2/R1). Systolic forward flow of SVC increased as the ratio of late diastolic to total excursion of the tricuspid anulus (i.e., right atrial systolic function) increased. It correlated significantly with the ratio of late diastolic to total excursion of the tricuspid anulus but not with total excursion. Total excursion of the tricuspid anulus correlated significantly with R2/R1, but systolic forward flow of SVC did not. These results indicate that atrial relaxation rather than systolic descent of the tricuspid anulus was the predominant factor determining systolic forward flow in the SVC.

Atrial fibrillation. The therapeutic options

Atrial fibrillation (AF) is a common cardiac arrhythmia which is particularly prevalent among the elderly. In patients with AF of recent onset, restoration of sinus rhythm may be feasible and this can be achieved by DC cardioversion, or by the use of one of a number of drugs including amiodarone, flecainide or propafenone. Neither digoxin nor the calcium antagonists facilitate the restoration of sinus rhythm. Recurrence of AF is common after successful cardioversion and, although long term antiarrhythmic drug therapy may help to maintain sinus rhythm, all such drugs are potentially toxic and can have important proarrhythmic actions. In patients with chronic AF, restoration of sinus rhythm is rarely possible and treatment is directed towards control of the ventricular response rate, which may be achieved with digoxin and/or a rate-limiting calcium antagonist such as verapamil or diltiazem; beta-blockers may also be used although they appear to impair effort tolerance. In addition, long term anticoagulation may be indicated to reduce the risks of systemic embolisation, even in patients with 'nonrheumatic' AF; antiplatelet drugs are of no apparent value in this context. A minority of patients present with AF associated with ventricular pre-excitation; in these individuals both digoxin and the calcium antagonists are contraindicated and the ventricular response rate should be controlled with flecainide, amiodarone or propafenone.

Relationship between beat to beat interval and left ventricular function in patients with atrial fibrillation

In atrial fibrillation, the relation between the rhythm and volume of the pulse has long been of interest. However, changes in preload in this condition have not been fully addressed since beat to beat measurement of filling volume have been difficult until recently. In the present study, we evaluated left ventricular outflow and inflow velocity using pulsed Doppler echocardiography and correlated these results with the R-R interval in the individual patient. The study population consisted of 12 patients with atrial fibrillation, aged 36 to 69 years (mean 54 years). The etiology of atrial fibrillation was idiopathic in 10 and 2 patients had dilated cardiomyopathy. Stroke and filling volume were calculated as a pruduct of the flow velocity integral of left ventricular outflow and inflow velocity, and the cross-sectional area of aortic and mitral annulus, respectively. In 10 patients with idiopathic atrial fibrillation, significant positive correlations were observed between the preceding R-R interval and both the stroke volume and the filling volume of the preceding beat when the R-R interval was shorter than 600 msec. Stroke volume and filling volume of the preceding beat were almost constant, independent of the preceding R-R interval when the preceding R-R interval was longer than 600 msec, the interval necessary for the completion of the preceding rapid filling. In the same preceding R-R interval, a larger stroke volume was observed in a shorter pre-preceding R-R interval. In 2 patients with dilated cardiomyopathy no relationship could be observed between the preceding R-R interval and the filling volume of the preceding beat or the stroke volume. In patients with a normally functioning left ventricle (idiopathic atrial fibrillation), reduced cycle length and filling volume in the preceding cardiac cycle appear to be the underlying cause of the regulation of stroke volume, dependent on Starling's law. However, in patients with dilated cardiomyopathy no significant correlation was observed between the preceding R-R interval and both the filling volume of the preceding beat and the stroke volume. In these patients the left ventricle may have limited contractile reserve and altered diastolic re-coil forces possibly due to degenerative changes of myocardium. Pulsed Doppler echocardiography provides a non-invasive method of evaluating the instantaneous changes in left ventricular flow dynamics caused by atrial fibrillation and understanding its fundamental mechanism.

Myocardial relaxation in atrial fibrillation

Although myocardial contractility has been known to vary from beat to beat in atrial fibrillation, myocardial relaxation in this arrhythmia has not been investigated. In this study, left ventricular relaxation was examined in seven patients with atrial fibrillation (four with mitral valve disease, one with aortic regurgitation, one with secundum type atrial septal defect and one with apical left ventricular hypertrophy). The left ventricular pressure was measured with a micromanometer-tipped catheter and the time constant of isovolumic left ventricular pressure decline (the relaxation time constant) was calculated by means of exponential curve fitting from more than 20 consecutive beats in each patient. The maximal rate of rise of left ventricular pressure (dP/dt) and the relaxation time constant were examined in relation to the preceding RR interval (RR2) and to the ratio of the RR2 interval to the pre-preceding RR interval (RR2/RR1), and the correlation coefficients were obtained. The dP/dt correlated better with RR2/RR1 than with the RR2 interval (0.82 +/- 0.05 versus 0.48 +/- 0.2), but the relaxation time constant did not show any correlation with RR2/RR1 or the RR2 interval (0.03 +/- 0.21 and 0.06 +/- 0.21, respectively). The relaxation time constant was fairly constant in each patient even when the RR2 interval and RR2/RR1 varied greatly. Thus, relaxation in atrial fibrillation is independent of changes in contractility as seen in the relation between postextrasystolic relaxation and postextrasystolic potentiation of contractility.

Intermittent mitral regurgitation due to Beall valve dysfunction: analysis of 13 patients with atrial fibrillation

A unique hemodynamic event was noted in long-term survivors of mitral valve replacement with the Beall prosthesis. The event was a result of intermittent valve dysfunction and transvalvular mitral regurgitation (MR). At cycle lengths longer than 0.9 second that were preceded by shorter cycle lengths, 8 of 13 patients with Beall valve prostheses who had chronic atrial fibrillation (AF) intermittently had a marked unexpected decrease in peak left ventricular systolic pressure and a simultaneous increase in left atrial or pulmonary artery wedge "v" wave pressure. This event, which is a result of intermittent, severe MR, occurred more frequently at longer cycle lengths. In all 8 patients with the finding, severe valve disc wear was found at operation; however, 5 of these patients had only trace or 1+ MR on left ventricular angiography. In contrast, the event did not occur in 11 patients in chronic AF with organic MR or non-Beall valve MR, despite an appropriate number of sufficiently long cycles. The absence of the event in 5 Beall valve patients with significantly faster heart rates than in those with the event may in part be a result of its dependence on cycle length. This hemodynamic event, when present in a Beall valve recipient in AF, is an indication for valve replacement, even in the absence of angiographic evidence of severe MR.

Effect of experimentally induced atrial fibrillation on coronary circulation in dogs

The influence of atrial fibrillation on coronary circulation was studied in 21 anesthetized open-chest dogs. Atrial fibrillation was induced either by local application of acetylcholine (10% in normal saline) on the left atrial appendage or by electric stimulation (2-7 volts, 2 ms, 50 Hz). When atrial fibrillation was induced (n = 10), mean aortic pressure fell and heart rate rose significantly; coronary blood flow (CBF) remained unchanged (78 +/- 6 vs. 75 +/- 5 ml/min X 100 g) while coronary vascular resistance (CVR) (1.16 +/- 0.05 vs. 0.87 +/- 0.07 [m Hg X min X 100 gl/ml [RU], p less than 0.0001) and sinus oxygen saturation (26 +/- 2 vs. 22 +/- 1%, p less than 0.05) decreased. Following the application of carbochromen (5 mg/kg in 3 min i.v.) resulting in maximal coronary dilatation, atrial fibrillation resulted in a reduction in CBF (311 +/- 48 vs. 205 +/- 30 ml/min X 100 g, p less than 0.01) and coronary sinus oxygen saturation (65 +/- 6 vs. 42 +/- 6%, p less than 0.01), while CVR (0.27 +/- 0.03 vs. 0.37 +/- 0.04 RU, p less than 0.0001) was 38 +/- 8% (p less than 0.0005) higher during atrial fibrillation than at sinus rhythm. When hearts were paced to a rate which was identical to the average heart rate at atrial fibrillation (n = 11), CBF (92 vs. 125 +/- 14 ml/min X 100 g, p less than 0.001) and sinus oxygen saturation (24 +/- 2 vs. 30 +/- 2%, p less than 0.0025) were higher and CVR (1.16 +/- 0.11 vs. 0.97 +/- 0.10 RU, p less than 0.0005) lower than during atrial fibrillation; during maximal coronary dilatation by carbochromen, pacing also resulted in a higher CBF (233 +/- 24 vs. 168 +/- 16 ml/min X 100 g, p less than 0.0005) and sinus oxygen saturation (70 +/- 3 vs. 57 +/- 2%, p less than 0.0005), while CVR (0.25 +/- 0.02 vs. 0.46 +/- 0.02 RU, p less than 0.0005) was lower than during atrial fibrillation. Thus atrial fibrillation results in a decrease in coronary vascular resistance but an increase in coronary oxygen extraction. When heart rate is controlled, the vasoconstrictor effect of atrial fibrillation becomes unmasked. Coronary vasoconstriction during atrial fibrillation appears to be greater during maximal coronary dilatation than during control.

The hemodynamic consequences of cardiac arrhythmias: evaluation of the relative roles of abnormal atrioventricular sequencing, irregularity of ventricular rhythm and atrial fibrillation in a canine model

To evaluate the hemodynamic consequences of various cardiac arrhythmias, hemodynamic and angiographic studies were performed on 20 open-chest, atrioventricular (AV) heart-blocked dogs during various programmed pacing protocols. Protocols included AV pacing at intervals of 100 msec and -100 msec, ventricular (V) pacing during AV dissociation, and V pacing during atrial fibrillation (AF). In addition, the effects of regular versus irregular V pacing were also evaluated. During regular V pacing, cardiac output was optimal at an AV interval of 100 msec, but decreased by 25% at AV -100 msec and by 18% during both AV dissociation and AF. During irregular V cycles, cardiac output decreased further (e.g., by an additional 7% during AF). Pulmonary venous regurgitation was observed only during AV dissociation and during regular pacing at AV -100 msec. Notably, mitral valvular regurgitation was observed only during irregular V cycles, but not during regular V pacing, even in the presence of AV dissociation or AF. Using these methods it was possible to resolve some previously reported controversies regarding the relative importance of AV sequencing, atrial systole versus AF, regular versus irregular rhythms, as well as the possible contribution of mitral and/or pulmonary venous regurgitation to the adverse hemodynamics of various cardiac arrhythmias.

Beat-to-beat left ventricular performance in atrial fibrillation: radionuclide assessment with the computerized nuclear probe

There is wide beat-to-beat variability in cycle length and left ventricular performance in patients with atrial fibrillation. In this study, left ventricular ejection fraction and relative left ventricular volumes were evaluated on a beat-to-beat basis with the computerized nuclear probe, an instrument with sufficiently high sensitivity to allow continuous evaluation of the radionuclide time-activity curve. Of 18 patients with atrial fibrillation, 5 had mitral stenosis, 6 had mitral regurgitation, and 7 had coronary artery disease. Fifty consecutive beats were analyzed in each patient. The mean left ventricular ejection fraction ranged from 17 to 51%. There was substantial beat-to-beat variation in cycle length and left ventricular ejection fraction in all patients, including those with marked left ventricular dysfunction. In 14 patients who also underwent multiple gated cardiac blood pool imaging, there was an excellent correlation between mean ejection fraction derived from the nuclear probe and gated ejection fraction obtained by gamma camera imaging (r = 0.90). Based on beat-to-beat analysis, left ventricular function was dependent on relative end-diastolic volume and multiple preceding cycle lengths, but not preceding end-systolic volumes. This study demonstrates that a single value for left ventricular ejection fraction does not adequately characterize left ventricular function in patients with atrial fibrillation. Furthermore, both the mean beat-to-beat and the gated ejection fraction may underestimate left ventricular performance at rest in such patients.

Role of tachycardia as an inotropic stimulus in man

We examined the inotropic effect of tachycardia in nine postsurgical aortocoronary bypass graft patients (with intact cardiac innervation) and nine cardiac allograft recipients (with denervated hearts). The changes in stroke volume (SV) and velocity of circumferential fiber shortening (VCF) which accompany sudden increases and decreases in atrial pacing frequency were determined by computer-aided fluoroscopic analysis of the motion of surgically implanted midwall myocardial markers. Because the first beat after a change in rate retains the frequency characteristics of the preceding rate, we compared the first posttachycardia beat with control beats and late tachycardia beats with the first tachycardia beat; afterload and preload for each pair of beats were similar. For an increase in heart rate of 50 beats/min, SV and VCF rose 79 and 64% from the first tachycardia beat to late tachycardia beats, and SV and VCF rose 8 and 35% from control beats to the first posttachycardia beat in the innervated group. Responses in the denervated group were not significantly different from those in the innervated group. The degree of the inotropic response was positively correlated with the magnitude of the increase in heart rate (r = 0.91). The decay in augmented contractility after decreasing the rate back to control levels fits an exponential relationship with a mean t((1/2)) of 1.7 s. Thus, in conscious man, increases in heart rate represent a positive inotropic stimulus, independent of other factors influencing ventricular performance and unaffected by neural innervation, and should be considered when changes in cardiac function are interpreted during serial studies or after drug administration.