End-systolic regional wall stress-length and stress-shortening relations in an experimental model of normal, ischemic and reperfused myocardium

Multiaxial pressure-strain analysis of regional myocardial work in the setting of graded coronary stenoses and dobutamine stress

We present a detailed analysis of regional myocardial blood flow and work to better understand the effects of coronary stenoses and low-dose dobutamine stress. Our analysis is based on a unique open-chest model in anesthetized canines that features invasive hemodynamic monitoring, microsphere-based blood flow analysis, and an extensive three-dimensional (3-D) sonomicrometer array that provides multiaxial deformational assessments in the ischemic, border, and remote vascular territories. We use this model to construct regional pressure-strain loops for each territory and quantify the loop subcomponent areas that reflect myocardial work contributing to the ejection of blood and wasted work that does not. We demonstrate that reductions in coronary blood flow markedly alter the shapes and temporal relationships of pressure-strain loops, as well as the magnitudes of their total and subcomponent areas. Specifically, we show that moderate stenoses in the mid-left anterior descending coronary artery decrease regional midventricle myocardial work indices and substantially increase indices of wasted work. In the midventricle, these effects are most pronounced along the radial and longitudinal axes, with more modest effects along the circumferential axis. We further demonstrate that low-dose dobutamine can help to restore or even improve function, but often at the cost of increased wasted work. This detailed, multiaxial analysis provides unique insight into the physiology and mechanics of the heart in the presence of ischemia and low-dose dobutamine, with potential implications in many areas, including the detection and characterization of ischemic heart disease and the use of inotropic support for low cardiac output.NEW & NOTEWORTHY Our unique experimental model assesses cardiac pressure-strain relationships along multiple axes in multiple regions. We demonstrate that moderate coronary stenoses decrease regional myocardial work and increase wasted work and that low-dose dobutamine can help to restore myocardial function, but often with further increases in wasted work. Our findings highlight the significant directional variation of cardiac mechanics and demonstrate potential advantages of pressure-strain analyses over traditional, purely deformational measures, especially in characterizing physiological changes related to dobutamine.

Biomechanics of infarcted left ventricle: a review of modelling

Mathematical modelling in biomechanics of infarcted left ventricle (LV) serves as an indispensable tool for remodelling mechanism exploration, LV biomechanical property estimation and therapy assessment after myocardial infarction (MI). However, a review of mathematical modelling after MI has not been seen in the literature so far. In the paper, a systematic review of mathematical models in biomechanics of infarcted LV was established. The models include comprehensive cardiovascular system model, essential LV pressure-volume and stress-stretch models, constitutive laws for passive myocardium and scars, tension models for active myocardium, collagen fibre orientation optimization models, fibroblast and collagen fibre growth/degradation models and integrated growth-electro-mechanical model after MI. The primary idea, unique characteristics and key equations of each model were identified and extracted. Discussions on the models were provided and followed research issues on them were addressed. Considerable improvements in the cardiovascular system model, LV aneurysm model, coupled agent-based models and integrated electro-mechanical-growth LV model are encouraged. Substantial attention should be paid to new constitutive laws with respect to stress-stretch curve and strain energy function for infarcted passive myocardium, collagen fibre orientation optimization in scar, cardiac rupture and tissue damage and viscoelastic effect post-MI in the future.

End-systolic wall stress predicts post-discharge heart failure after acute myocardial infarction

BACKGROUND

Compensatory mechanisms activated after myocardial infarction include an increase in systolic wall stress (SWS) and activation of the neurohormonal system. Nevertheless, left ventricular ejection fraction (LVEF) and infarct size are the established primary predictors of outcome after ST-segment elevation myocardial infarction.

AIMS

To assess the relative impact of various cardiac magnetic resonance (CMR) imaging variables, such as infarct size, LVEF and SWS, on pre- and post-discharge heart failure (HF).

METHODS

CMR was performed in a prospective study involving 169 patients with first ST-segment elevation myocardial infarction. Common CMR findings, such as SWS, were computed.

RESULTS

Mean SWS was 16.3±5.1×10(3)N·m(-2), and was systematically higher in patients exhibiting either pre- or post-discharge HF (18.9±5.7 and 21.3±7.6×10(3) N·m(-2), respectively). SWS was moderately related to initial infarct size (r=0.405; P <0.001). In total, 28 patients presented with HF during the hospitalization phase and 14 during follow-up, with a median time of event of 93 days (25th-75th percentiles, 29-139.25 days). The univariate predictors of HF were age, LVEF, infarct size, SWS, microvascular obstruction, anterior infarction and heart rate at admission. Multivariable analysis revealed infarct size and age to be the predictors of predischarge HF, while SWS and heart rate at admission predicted post-discharge HF. The greatest SWS quartile provided a negative predictive value of 95.9%.

CONCLUSION

Regardless of LVEF and infarct size, SWS was shown to be an independent predictor of post-discharge HF after ST-segment elevation myocardial infarction.

CARDIAC CONTRACTILITY MEASURES OF LEFT VENTRICULAR SYSTOLIC FUNCTIONAL ASSESSMENT OF NORMAL AND DISEASED HEARTS

Left ventricular (LV) contraction is the basis of LV systolic function, impairment of which underlies heart failure pathophysiology. Its accurate quantification in the form of LV contractility indices is imperative for diagnostic and follow-up assessment of LV systolic function in heart failure.

Herein, we analyze LV contractile performance by focusing on LV contractility indices at different physiological organizational levels: from sarcomere dynamics to LV myocardial properties (such as elastic modulus and elastance), and from LV wall contractile stress development to the generation of intra-LV blood flow velocities and pressure distributions. Further, we present the development analyses of these indices and their medical applications. Using improved development of invasive and noninvasive techniques for measuring ventricular pressure, geometry, and volume, we show how these indices have become more amenable for clinical usage to obtain better patient assessment.

The purpose of this paper is to present a comprehensive coverage of LV contraction physiology, indices to qualify LV contraction, formulation, and medical applications of some major intrinsic LV contractility indices, so as to provide the basis of functional assessment of normal versus diseased hearts.

Myocyte apoptosis occurs early during the development of pressure-overload hypertrophy in infant myocardium

OBJECTIVE

Abnormal hemodynamic loading often accompanies congenital heart disease both before and after surgical repair. Adaptive and maladaptive myocardial responses to increased load are numerous. This study examined the hypothesis that myocyte loss occurs during compensatory hypertrophic growth in the developing infant myocardium subjected to progressive pressure overload.

METHODS

Pressure-overload left ventricular hypertrophy was induced in 7- to 10-day-old rabbits by banding the thoracic aorta. Left ventricular function and mechanics were quantified by serial echocardiography and noninvasive left ventricular wall stress analysis. Left ventricular tissue sections were examined for fibrosis by using Masson's trichrome stain and for myocyte apoptosis by using a myocyte-specific DNA fragmentation assay and caspase-3 activation (specific fluorescent substrate).

RESULTS

Significant myocyte apoptosis (198 +/- 37/10(6) myocytes, P < .01 vs control) and caspase-3 activation were present in early hypertrophy when left ventricular contractility was preserved and compensatory hypertrophy had normalized wall stress. By 6 weeks, multiple indices of left ventricular contractility were reduced, and left ventricular wall stress was increased. Myocyte apoptosis was accelerated (361 +/- 56/10(6) myocytes), caspase-3 activity further increased, and the estimated total number of left ventricular myocytes was significantly reduced by 18% +/- 4%.

CONCLUSION

In experimental infant left ventricular hypertrophy, myocyte apoptosis is initiated in the face of normalized wall stress and preserved contractility. The ongoing rate of apoptosis causes a measurable decrease in myocyte number that is coincident with the onset of ventricular dysfunction. It thus appears that pressure overload, even at its earliest stages, is not well tolerated by the developing ventricle.

Validation of a novel noninvasive cardiac index of left ventricular contractility in patients

Although there are several excellent indexes of myocardial contractility, they require accurate measurement of pressure via left ventricular (LV) catheterization. Here we validate a novel noninvasive contractility index that is dependent only on lumen and wall volume of the LV chamber in patients with normal and compromised LV ejection fraction (LVEF). By analysis of the myocardial chamber as a thick-walled sphere, LV contractility index can be expressed as maximum rate of change of pressure-normalized stress (dσ*/d tmax, where σ* = σ/P and σ and P are circumferential stress and pressure, respectively). To validate this parameter, dσ*/d tmax was determined from contrast cine-ventriculography-assessed LV cavity and myocardial volumes and compared with LVEF, dP/d tmax, maximum active elastance ( Ea,max), and single-beat end-systolic elastance [ Ees(SB)] in 30 patients undergoing clinically indicated LV catheterization. Patients with different tertiles of LVEF exhibit statistically significant differences in dσ*/d tmax. There was a significant correlation between dσ*/d tmax and dP/d tmax (dσ*/d tmax = 0.0075dP/d tmax − 4.70, r = 0.88, P < 0.01), Ea,max (dσ*/d tmax = 1.20 Ea,max + 1.40, r = 0.89, P < 0.01), and Ees(SB) [dσ*/d tmax = 1.60 Ees(SB) + 1.20, r = 0.88, P < 0.01]. In 30 additional individuals, we determined sensitivity of the parameter to changes in preload (intravenous saline infusion, n = 10 subjects), afterload (sublingual glyceryl trinitrate, n = 10 subjects), and increased contractility (intravenous dobutamine, n = 10 patients). We confirmed that the index is not dependent on load but is sensitive to changes in contractility. In conclusion, dσ*/d tmax is equivalent to dP/d tmax, Ea,max, and Ees(SB) as an index of myocardial contractility and appears to be load independent. In contrast to other measures of contractility, dσ*/d tmax can be assessed with noninvasive cardiac imaging and, thereby, should have more routine clinical applicability.

3-D MRI assessment of regional left ventricular systolic wall stress in patients with reperfused MI

The goal of this study was to assess the regional variations of end-systolic wall stress in patients with reperfused Q wave acute myocardial infarction (AMI), with the use of a three-dimensional (3-D) approach. Fifteen normal volunteers and fifty patients with reperfused AMI underwent cardiac MRI that used a short-axis fast-gradient-echo sequence. The end-systolic wall stress was calculated with the use of the Grossman formula with the radius and the wall thickness defined with a 3-D approach using the tridimensional curvature. The mean wall stress was significantly increased at each level of the short-axis plane only in patients with anterior AMI. When calculated at a regional level in patients with anterior AMI, wall stress significantly increased in anterior sector as well as normal sector. In patients with inferior AMI, wall stress significantly increased only in inferior and lateral sectors. In conclusion, the quantification of regional wall stress by cardiac MRI is better with the 3D approach than other methods for precise evaluation in patients with AMI. Despite early reperfusion, the wall stress remained high in patients with anterior AMI.

Estimation of regional left ventricular wall stresses in intact canine hearts

Left ventricular (LV) wall stress is an important element in the assessment of LV systolic function; however, a reproducible technique to determine instantaneous local or regional wall stress has not been developed. Fourteen dogs underwent placement of twenty-six myocardial markers into the ventricle and septum. One week later, marker images were obtained using high-speed biplane videofluoroscopy under awake, sedated, atrially paced baseline conditions and after inotropic stimulation (calcium). With a model taking into account LV pressure, regional wall thickness, and meridional and circumferential regional radii of curvature, we computed average midwall stress for each of nine LV sites. Regional end-systolic and maximal LV wall stress were heterogeneous and dependent on latitude (increasing from apex to base, P < 0.001) and specific wall (anterior > lateral and posterior wall stresses; P = 0. 002). Multivariate ANOVA demonstrated only a trend (P = 0.056) toward increased LV stress after calcium infusion; subsequent univariate analysis isolated significant increases in end-systolic LV wall stress with increased inotropic state at all sites except the equatorial regions. The model used in this analysis incorporates local geometric factors and provides a reasonable estimate of regional LV wall stress compared with previous studies. LV wall stress is heterogeneous and dependent on the particular LV site of interest. Variation in wall stress may be caused by anatomic differences and/or extrinsic interactions between LV sites, i.e., influences of the papillary muscles and the interventricular septum.

Correlation between cardiac remodelling, function, and myocardial contractility in rat hearts 5 weeks after myocardial infarction

Early after infarction, ventricular dysfunction occurs as a result of loss of myocardial tissue. Although papillary muscle studies suggest that reduced myocardial contractility contributes to this ventricular dysfunction, in vivo studies indicate that at rest, cardiac output is normal or near normal, suggesting that contractility of the remaining viable myocardium of the ventricular wall is preserved. However, this has never been verified. To explore this further, 100 rats with various-sized myocardial infarctions had ventricular function assessed by Langendorff preparation or by isolated papillary muscle studies 5 weeks after infarction. Morphologic studies were also done. Rats with large infarctions (54%) had marked ventricular dilatation (dilatation index from 0.23 to 0.75, p << 0.01) and papillary muscle dysfunction (total tension from 6.7 to 3.2 g/mm2, p << 0.01) but only moderate left ventricular dysfunction (maximum developed tension from 206 to 151 mmHg (1 mmHg = 133.3 Pa), p << 0.01), a decrease less than one would expect with an infarct size of 54%. The contractility of the remaining viable myocardium of the ventricle was also moderately depressed (peak systolic midwall stress 91 to 60 mmHg, p << 0.01). Rats with moderate infarctions (32%) had less marked but still moderate ventricular dilatation (dilatation index 0.37, p << 0.001) and moderate papillary muscle dysfunction (total tension 4.2 g/mm2, p << 0.01). However, their decrease in ventricular function was only mild (maximum developed pressure 178 mmHg, p << 0.01) and less than one would expect with an infarct size of 32%. The remaining viable myocardium of the ventricular wall appeared to have normal contractility (peak systolic midwall stress = 86 mmHg, ns). We conclude that in this postinfarction model, in large myocardial infarctions, a loss of contractility of the remaining viable myocardium of the ventricular wall occurs as early as 5 weeks after infarction and that papillary muscle studies slightly overestimate the degree of ventricular dysfunction. In moderate infarctions, the remaining viable myocardium of the ventricular wall has preserved contractility while papillary muscle function is depressed. In this relatively early postinfarction phase, ventricular remodelling appears to help maintain left ventricular function in both moderate and large infarctions.

Key words: postinfarction, contractility, ventricular function, ventricular remodelling.

A New Approach to Assessing Regional and Global Myocardial Contractility

A number of studies that assessed myocardial contractility by noninvasive means have been conducted in the past. However, many of these studies are limited because they assessed the velocity of fiber shortening-afterload relationship at only a single location in the ventricle, thus assuming uniform contractility throughout the ventricle. This is often not the case, particularly in patients with coronary disease. The present study provides a new approach to assessing regional and global function that will be applicable to patients with nonuniform contractile function and makes use of entirely noninvasively obtained data. In addition, the method proposed will permit the question of linearity or nonlinearity of shortening rate-afterload relationship to be addressed in a more detailed, quantitative manner.

Estimation of regional end-systolic wall stress during exercise in coronary artery disease

Estimating left ventricular wall stress has recognized applications, but formulae for global stress cannot be applied to ischemic ventricles. A mathematic method for estimating regional stress in infarcted ventricles has been described. The hypothesis tested was that exercise-induced ischemia increases end-systolic wall stress. Subcostal four-chamber echocardiograms were recorded at rest and during peak symptom-limited exercise in 19 controls and 41 patients with chest pain undergoing coronary arteriography. Centerline regional wall motion and regional end-systolic wall stress were measured at rest and at peak exercise. The normal controls had increased wall motion with exercise, but wall stress remained low. All 32 of the patients with coronary artery disease (> or = 50% diameter narrowing) had wall motion abnormalities with exercise, but the sensitivity of identifying right coronary artery obstructions was poor. Patients with coronary disease had higher regional stress at peak exercise than did the controls. The sensitivity of identifying lesions in all three coronary arteries (0.95 to 1.0) was better than that for wall motion (p < 0.04). The specificity of wall stress needs to be tested in a larger population. Exercise-induced ischemia causes increased regional end-systolic wall stress that reflects its distribution in patients with coronary artery disease. These changes can be measured non-invasively during exercise echocardiography.

Dobutamine stress echocardiography in the evaluation of late anthracycline cardiotoxicity in childhood cancer survivors

Late anthracycline cardiotoxicity has been of increasing concern to pediatric oncologists. An increasing number of patients with cardiac dysfunction has been reported without a good correlation between cardiac function or symptoms and routine echocardiographic follow-up. We studied dobutamine stress echocardiography in patients who had received moderate doses of anthracyclines years before. Twenty-three patients (14 male, 9 female; 7-25 y) who completed chemotherapy with moderate doses of anthracyclines (180-380 mg/m2) more than 2 y previously underwent dobutamine stress echocardiography and were compared with a control group of 26 healthy young people (15 male, 11 female; 6-26 y) matched for age and weight. Dobutamine was administered in three periods up to a rate of 5 micro g/kg/min. Eighty-five percent of the patients showed an abnormal response to dobutamine. Both systolic and diastolic functions were affected. The systolic dysfunction was not related to diminished contractility but to an elevated systolic wall stress due to inadequate cardiac muscle thickening. The diminished wall thickening was related to the length of follow-up. Dobutamine proved to be a very sensitive method to detect clinical and subclinical cardiac dysfunction in patients post anthracycline chemotherapy and questions the concept of a safe dose.

Noninvasive assessment of the direct action of oral nifedipine and nicardipine on left ventricular contractile state in patients with systemic hypertension: importance of reflex sympathetic responses

OBJECTIVES

This study was designed to noninvasively assess the direct action of calcium channel blockers on left ventricular contractility in humans and to establish a framework for determining the importance of reflex sympathetic responses to any pharmacologic intervention.

BACKGROUND

Assessment of left ventricular contractility in patients taking calcium channel blockers by using traditional indexes of systolic performance is difficult because of the after-load-reducing and reflex sympathetic effects of the drugs.

METHODS

Fifteen hypertensive patients (mean blood pressure 127 +/- 15 mm Hg) were studied with Doppler echocardiography and calibrated subclavian pulse tracings while receiving placebo and 1 week after randomization to treatment with oral nifedipine (20 mg three times daily; n = 7) or nicardipine (30 mg three times daily; n = 8). Left ventricular circumferential end-systolic wall stress versus rate-corrected velocity of shortening (Vcfc) relations were generated over a range of loads using nitroprusside. Data were acquired before and during esmolol infusion, thereby allowing assessment of hemodynamic responses with the sympathetic nervous system functionally intact as well as ablated. The adequacy of sympathetic blockade was confirmed with isoproterenol challenges. In each case, left ventricular contractile state was measured relative to placebo and esmolol data as delta Vcfc at a common end-systolic wall stress. Increased and decreased contractility were defined as delta Vcfc > 0 and delta Vcfc < 0, respectively.

RESULTS

Nifedipine and nicardipine equally decreased blood pressure and end-systolic wall stress and increased left ventricular percent fractional shortening and stroke volume. Neither drug alone consistently altered ventricular contractility compared with placebo. Ablation of reflex sympathetic tone with esmolol unmasked a negative inotropic effect for nifedipine (p = 0.03 vs. esmolol alone) but not nicardipine (p = 0.68 vs. esmolol alone). The difference between the contractility effects of nifedipine plus esmolol versus those of nicardipine plus esmolol approached statistical significance (p = 0.07).

CONCLUSIONS

Totally noninvasive techniques showed a differential effect on left ventricular contractility between nifedipine and nicardipine when alterations in afterload and reflex sympathetic responses were eliminated as confounding variables. This diagnostic approach, based on the use of pharmacologic probes, should have wide applicability for assessing the direct inotropic effect of any agent, even in the presence of complex primary and secondary physiologic modes of action.

Effects of simultaneous alterations in preload and afterload on measurements of left ventricular contractility in patients with dilated cardiomyopathy: comparisons of ejection phase, isovolumetric and end-systolic force-velocity indexes

OBJECTIVES

The study was designed to critically evaluate the clinical utility of ejection phase and nonejection phase indexes of contractile state in patients with severe left ventricular dysfunction.

BACKGROUND

Ejection phase indexes of left ventricular systolic performance are unable to differentiate contractility changes from alterations in loading conditions. Isovolumetric and end-systolic force-velocity indexes have been proposed as alternative measurements of contractile state that are load independent.

METHODS

Seventeen patients with nonischemic dilated cardiomyopathy were studied during cardiac catheterization. High fidelity central aortic and left ventricular pressure measurements were made with simultaneous echocardiographic recordings of chamber minor- and long-axis dimensions and wall thickness. Data were acquired under control conditions, during nitroprusside infusion and with dopamine (6 micrograms/kg per min).

RESULTS

Patients were classified into those without (group 1, n = 10) and those with (group 2, n = 7) a decrease in end-diastolic circumferential wall stress in response to dopamine. There were no baseline differences between the groups in functional class, left ventricular chamber geometry or cardiovascular hemodynamics. Ejection phase indexes were variably altered by changes in preload, afterload and heart rate, thereby complicating physiologic interpretation of data. Dopamine increased the commonly used isovolumetric index, maximal rate of rise in left ventricular pressure (dP/dtmax), by 64% for group 1 but by only 16% for group 2 (p less than 0.001), resulting in an underestimation of contractile state change in 41% of patients. In contrast, the left ventricular end-systolic circumferential wall stress-rate-corrected velocity of fiber shortening relation, which incorporates afterload, ventricular wall mass and heart rate in its analysis, was a sensitive contractility measurement that was preload independent and equally augmented by dopamine for both groups.

CONCLUSIONS

Of the left ventricular contractility indexes evaluated, the end-systolic circumferential wall stress-rate-corrected velocity of fiber shortening relation was the most physiologically appropriate for assessing pharmacologically induced changes in inotropic state that were accompanied by complex alterations in loading conditions in patients with dilated cardiomyopathy.

Assessment of right ventricle dimensions with microsonometry in anesthetized rabbits

Dimension measurements of the right ventricle are difficult to obtain because of its complex geometry, thus we evaluated a method of right ventricular dimension measurements. Crystals were placed on the ventral and dorsal side of the right ventricular free wall, approximately one-fourth of the right ventricular semicircle away from the septum, in the middle of a cranio-caudal axis of the ventricles. The effects of an increased (infusion of 20 mL/kg of 5% glucose for 3 min into seven rabbits), as well as decreased preload (nitroglycerin, 5 micrograms/kg/min i.v. n = 6) were measured and compared with changes during a placebo infusion (n = 6). The change in shortening of the right ventricle wall segment correlated with changes in both atrial natriuretic factor (ANF) plasma concentration (r = 0.89, p < 0.05) and central venous pressure (CVP) (r = 0.94, p < 0.05), respectively. Both these variables are influenced by right ventricular function and dimensions in healthy animals. Dimension measurements obtained across the free wall of the right ventricle appear to reflect right ventricular function well and should be useful in assessing the effects of drugs intended for the treatment of angina pectoris or heart failure.

Developmental modulation of myocardial mechanics: age- and growth-related alterations in afterload and contractility

Somatic growth is associated with alterations in myocardial mechanics in children with heart disease and in most animal models of congenital heart disease. However, the effect of age and body size on myocardial contractility and loading conditions in normal infants and children is not known. Therefore, 256 normal children aged 7 days to 19 years (34% less than 3 years old) were evaluated with noninvasive indexes of left ventricular contractility and loading conditions. Two-dimensional and M-mode echocardiographic recordings of the left ventricle were obtained with a phonocardiogram, indirect pulse tracing and blood pressure recordings. Left ventricular dimensions, wall thickness and pressure measurements obtained from these data were used to calculate peak and end-systolic circumferential and meridional wall stress and mean and integrated meridional wall stress. Velocity of shortening adjusted for heart rate was compared with end-systolic stress to assess contractility independently of loading status. The subjects were stratified for gender and each of the derived variables was related to age and body surface area. Ventricular shape, assessed as the major/minor axis ratio, and the circumferential/meridional stress ratio were found to be invariant with growth. The ratio of posterior wall thickness to minor axis dimension did not change with age, despite the normal age-related increase in blood pressure. The increase in pressure despite unvarying ventricular shape and wall thickness/dimension ratio resulted in a substantial increase in wall stress that was most dramatic during the first few years of life. In association with the increase in afterload, systolic function decreased with age. However, the age-related decrease in the velocity of shortening was greater than that expected from the increase in afterload alone, indicating a higher level of contractility in infants and children during the first years of life than in older subjects. The process of normal growth and development, similar to that in children with heart disease, is associated with a rapid decrease in the trophic response to hemodynamic loads, resulting in an age-associated increase in wall stress. There is a similar but somewhat more rapid decrease in contractility, with the highest values seen in the youngest patients.