STATE-OF-THE-ART PAPER
Assessment of Left Ventricular Function by Cardiac Ultrasound
James D. Thomas, MD* and
Zoran B. Popovi , MD, PhD
Department of Cardiovascular Medicine, The Cleveland Clinic Foundation, Cleveland, Ohio
Manuscript received March 2, 2006;
revised manuscript received June 2, 2006,
accepted June 19, 2006.
* Reprint requests and correspondence: Dr. James D. Thomas, Department of Cardiology, Desk F-15, The Cleveland Clinic Foundation, 9500 Euclid Avenue, Cleveland, Ohio 44195. (Email: thomasj{at}ccf.org).
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Abstract
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Our understanding of the physical underpinnings of the assessment of cardiac function is becoming increasingly sophisticated. Recent developments in cardiac ultrasound permit exploitation of many of these newer physical concepts with current echocardiographic machines. This review will first focus on the current approach to the assessment of cardiovascular hemodynamics by cardiac ultrasound. The next focus will be the assessment of global cardiac mechanics in systole and diastole. Finally, relationships between the cardiac structure and regional myocardial function, and the way regional function can be quantified by ultrasound, will be presented. This review also discusses the clinical impact of echocardiography and its future directions and developments.
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Abbreviations and Acronyms
| | DTI = Doppler tissue imaging | | EF = ejection fraction | | LV = left ventricle/ventricular | | LVOT = left ventricular outflow tract | | PW = pulsed wave | | ROA = regurgitant orifice area | | RV = regurgitant volume | | STI = speckle tracking imaging | | SV = stroke volume | | 2(3)D = 2(3)-dimensional |
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Our understanding of the physical underpinnings of the assessment of cardiac function is becoming increasingly sophisticated. Recent developments in cardiac ultrasound permit exploitation of many of newer physical concepts with current echocardiographic equipment. We will review the current approach to the assessment of cardiac function and hemodynamics by ultrasound, its clinical impact, and discuss some of the future directions. Due to space limitations, we will not be able to discuss the relative role of echocardiography versus other imaging modalities, except to note that, utilized to its fullest potential, it is the most cost-effective way of assessing overall ventricular and valvular function. Also, the incremental contribution of stress echocardiography will not be specifically discussed; however, the principles of the techniques discussed in this review are valid during and after exercise and pharmacologic stress, and can be applied in this arena. The reader is referred to a recent excellent review on the subject (1).
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Cardiac hemodynamics
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We turn first to indexes of blood flow in the heart. Blood flow is governed by conservation of mass, momentum, and energy. Together these conservation laws form the basis for the echocardiographic assessment of cardiac hemodynamics. To understand the practical applications of quantitative echocardiographic methods, it is helpful to review the basis for these laws and how they relate to the empiric parameters of interest to cardiologists.
Conservation of mass.
Conservation of mass implies that blood can neither be created nor destroyed. Because blood is incompressible, it means that flow into any region of the heart must be matched by flow out of that region. A practical application is the continuity equation for measuring cardiac flow, stroke volume (SV), and cardiac output. For example, if we assume that velocity across the left ventricular outflow tract (LVOT) is constant, then instantaneous cardiac output will be given by flow velocity (from pulsed wave [PW] Doppler) multiplied by LVOT area (2,3). Integrating the velocity throughout systole before multiplying it yields SV; multiplying SV by heart rate yields cardiac output. In practice, error may be introduced by the fact that the velocity profile across the LVOT is not flat (4) but tends to be skewed toward the septum, but even the simple calculation outlined here is reasonably accurate and should be applied routinely in clinical echocardiography to provide cardiac output. Semiautomated methods have been validated to integrate the color Doppler velocities across the LVOT to yield SV with fewer assumptions, but unfortunately these are not widely available (5).
In the absence of shunts or regurgitation, the same SV should be obtained by measuring flow through any other structure of the heart as long as the velocity and area are measured at the same point. The tricuspid (6), pulmonary, and mitral annuli (7) are candidates for these measurements, although the LVOT is most reliable. If regurgitation or shunt flow is present, then any discrepancy in flow in different regions of the heart reflects the shunt (8,9) or regurgitant volume (RV) (10). All that is necessary is for one of the flows to reflect the net forward output of the heart. For example, if an atrial septal defect is present, LVOT SV might be 80 ml, whereas pulmonic SV might be 120 ml, in which case shunt volume would be 40 ml with a shunt fraction of 1.5:1. In the case of mitral regurgitation, mitral annular SV of 100 ml and LVOT SV of 60 ml indicate mitral RV of 40 ml.
Measurement of left and right heart SV is currently standard clinical method to quantitate shunts. Measurement of RV is less used because it is more prone to measurement errors, particularly because 2 large SVs are subtracted from each other to yield a much smaller RV; this prompted development of more direct approaches, such as the proximal convergence method.
The proximal convergence method is also based on conservation of mass. It states that all flow passing through a regurgitant valve approaches it as a series of concentric shells of decreasing surface area and increasing velocity (11). Quantifying flow through any such shell (most conveniently the contour identified by velocity aliasing in the color Doppler display) yields the instantaneous flow through the valve. Assuming this contour to be hemispheric in shape, then flow Q through a contour of velocity va at radius r from the regurgitant orifice is 2 r2va. If the velocity through that orifice at that instant is v0, then the important parameter regurgitant orifice area (ROA) is given by Q/v0 (12). For mitral regurgitation, this can be simplified by assuming a regurgitant velocity of 5 m/s (reflecting a ventriculoatrial pressure difference of 100 mm Hg). If aliasing velocity is set to 40 cm/s, then ROA will be given simply by r2/2 (13) (Fig. 1).

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Figure 1 Principle of the conservation of mass. Instantaneous flow through the shell outlined by the proximal isovelocity surface is identical to the regurgitation flow rate occurring through this insufficient mitral valve. To the right, the same valve shows a highly asymmetric regurgitation jet whose area underestimates the true amount of regurgitation.
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In practice, the shape of proximal convergence shell may deviate from a hemispheric one, especially during states of low flow (14), distortion by adjacent walls (15), and irregular orifices. Also, when regurgitation is mild, an aliasing contour often may not be measurable, but this absence alone is helpful in reassuring one of the trivial magnitudes of the regurgitation.
Conservation of energy.
Energy exists in many forms inside the heart: pressure, kinetic energy of blood flow, the sound of murmurs, and so on. Conservation of energy states that the total energy within a closed system (like the heart) must be a constant. In practical terms, we can use the balance between kinetic (i.e., velocity) and potential (i.e., pressure) energy to estimate the pressure drop across stenotic valves and other restrictive orifices. The kinetic energy within a sample volume is given by 1/2 v2. As blood moves into a stenotic valve, the velocity must increase (by the continuity equation), and as the kinetic energy increases, the local pressure must fall. In its full form, this balance between potential and kinetic energy is the complete Bernoulli equation with multiple complex terms, but for flow through a restrictive orifice with velocity measured in m/s, the pressure drop in mm Hg will be given by the simplified formula, p = 4v2 (16) (Fig. 2). There are many caveats to the simplified Bernoulli equation: 1) it does not apply to long tunnel-like stenoses where viscosity contributes to the pressure drop (17); 2) it does not apply to non-restrictive orifices because most of the pressure drop is used in accelerating the bulk of the blood through the valve and is quantified by the inertial term of the complete Bernoulli equation (18,19); and 3) it may overestimate the net pressure drop through bileaflet prosthetic valves, where the pressure energy decrease as the kinetic energy rises is not irretrievably lost, but rather partially recovered as the flow smoothly decelerates out of the prosthesis (20). Despite these limitations, it is remarkable how well the simplified Bernoulli equation works, having been validated for stenotic native valves, prosthetic valves, valvular regurgitation, and restrictive intracardiac shunts and likely is the single development that most propelled Doppler echocardiography into the premiere cardiac imaging modality it is today. Currently, it represents the gold standard for the measurement of valve stenoses (21).

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Figure 2 Principle of the conservation of energy. Decrease of cross-sectional area (as seen in aortic stenosis) leads to increase in velocity. Velocity increase leads to a pressure decrease distal to the stenosis.
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Conservation of momentum.
If we consider flow with velocity v through an orifice with area A, conservation of mass in fluid terms really means conservation of mass flux, or simply flow, Q = Av. The kinetic energy flux (used in the Bernoulli equation) then is given by 1/2 (Av)v2. There is a third conserved quantity, momentum, which flux is given by (Av)v. Though less familiar to cardiologists, momentum is important, because it is the physical entity that best predicts the size of a regurgitant jet on color Doppler imaging (22). From its definition, it is clear that even if jet flow remains constant, increasing the velocity of the jet (as by increasing the driving pressure) will increase apparent jet size, explaining the importance of knowing blood pressure when interpreting color Doppler images. Though it is theoretically possible to quantify the momentum across a jet cross section to characterize its severity (23), this is limited in practice by the presence of high velocity turbulence within the jet.
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Cardiac mechanics
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The echocardiographic assessment of cardiac mechanics can be divided into methods that quantify global function and those that assess regional contractility.
Echocardiographic assessment of global LV chamber function: ejection fraction (EF), contractility, relaxation, filling, and end-diastolic pressure.
In contrast to the fluid dynamics of blood motion around the cardiovascular system, the structural mechanics principles that apply to the assessment of systolic and diastolic chamber function are more complex. Thus, one of the biggest challenges is simply deciding how best to quantify cardiac function. From an operational point of view, adequate cardiac function is the ability of the heart to fill at a low enough pressure not to cause pulmonary congestion, then deliver a sufficient quantity of blood to the vasculature at a high enough pressure to perfuse the tissue, and to augment this performance during exercise. Unfortunately, there is no measurable quantity that corresponds to this integrated functional assessment, so we must use surrogates that approximate one or another aspect of cardiac function.
LV volumes and EF.
The most common functional surrogate is LVEF, the percentage of chamber volume ejected in systole, which is well measured by echocardiography. The first step in calculating LVEF is correct visualization of endocardial borders. Although in most cases this can be done by standard approach, it is sometimes necessary to use ultrasound contrast for LV opacification; this is especially true in the morbidly obese, in the presence of apical masses, and during stress echocardiography (24). To obtain LV volumes and EF, one can use formulae that have been validated for M-mode measurements and single and biplane 2-dimensional (2D) assessments, but these are based on geometric assumptions and so work best in symmetric ventricles (2527). Methods have been developed for more automated estimation of EF from 2D echocardiograms. Acoustic quantification analyzes the intensity of the returning ultrasound signal to separate the ventricle into tissue and blood and track LV area in real-time (28). By assuming rotational symmetry, end-systolic and end-diastolic volumes can be estimated on a beat-by-beat basis, along with EF. Color kinesis extends this principle by tracking the LV endocardial contour frame-by-frame, allowing the time course of filling and ejection to be displayed (29). However, although these methods are very accurate in tracking the relative changes of LV volumes throughout cardiac cycle, the absolute values still need to be calibrated (30). For maximal accuracy, particularly with ventricular aneurysms or other asymmetric abnormalities, 3-dimensional (3D) echocardiography should be used, which has an accuracy rivaling magnetic resonance imaging (31,32).
Currently, there are 3 broad approaches to 3D echocardiography. The first is 3D reconstruction from a set of 2D planes obtained by either rotating or tilting the transducer, a method that is time consuming and requires stable heart rate, but can be done with conventional 2D transducers. The second approach is real-time 3D echocardiography, which uses an array of crystals to direct ultrasound anywhere within a pyramid of space. Despite parallel processing (typically 16:1), this often requires combining data from 3 to 5 cardiac cycles to obtain a full 90° x 90° 3D pyramid. Finally, much of the quantitative accuracy of full 3D echocardiography can be obtained from transducers capable of simultaneously acquiring up to 3 rotationally arranged planes. An important technical issue involves the number of slices from which the ventricular volume (or mass) is measured, ranging from 2 (33) to 12 (34), with accuracy falling when the number of planes is <4 (35). Arguing against too many slices is the time and effort required for analysis. Fortunately, software is emerging that can (semi) automatically detect endocardial borders during a cardiac cycle (34,36).
There is no current consensus on when to perform 3D echocardiography in clinical practice, although the American Society of Echocardiography is soon to release a guidelines document. This is partly due to the rapid evolution of this novel technology and the absence of a comprehensive industry-wide format in which to store the data, which would allow more options in post-processing and visualization. The Digital Imaging and Communications in Medicine committee is pursuing such a standard, but progress has been slow. However, because data acquisition is brief, adding little to the cost or inconvenience of an examination, a strong case can be made for using 3D echocardiography to document serial changes in LV (or any other chamber) volume, particularly for clinical scenarios such as asymptomatic mitral and aortic regurgitation, and assessment of cardiac resynchronization therapy.
Contractility.
Although EF is universally used, it is limited by its sensitivity to preload and afterload, exemplified by the false reassurance of a high EF in severe mitral regurgitation and the low, but reversible, EF with severe aortic stenosis. Because of this, much effort is given to developing less load-dependent methods to measure true contractility, the most accurate of which requires continuous acquisition of ventricular pressure and volume data during sudden preload change. From these data, several indexes can be calculated, with end-systolic elastance (37) and preload recruitable stroke work being the most popular. Many studies have sought non-invasive echocardiographic estimates of these parameters that can be obtained without preload intervention.
Kass et al. (38) have suggested that LV power (a product of peak systolic flow and pressure), indexed to the square of end-diastolic volume, accurately estimates end-systolic elastance, although later work suggests that this type of correction is inadequate (39,40). A more direct approach by the same group estimated end-systolic elastance from a single beat using a complex combination of non-invasive measurements of blood pressures, diastolic and systolic LV volumes, pre-ejection and ejection times, and EF (41,42). A similar single-beat estimate was developed for preload recruitable stroke work.
Several other groups used empirical approaches to estimate end-systolic elastance echocardiographically. For example, we have shown that systolic velocity acceleration in the LVOT (43) and systolic strain rate (44) correlate with end-systolic elastance. Similarly, it has been shown that the early systolic intraventricular pressure drop along the LVOT (45) correlates with end-systolic elastance (for calculation, see the following text). Another proposed contractility parameter is myocardial performance index, obtained by dividing the sum of isovolumic contraction and relaxation times with ejection time. However, although studies have shown its clinical value (46), its usefulness as contractility parameter is debatable (47). Similarly, a claim that isovolumic acceleration by Doppler tissue imaging (DTI) is a good marker of end-systolic elastance (48) has recently been heavily contested (49).
Assessment of regional myocardial contraction.
Regional function is commonly assessed by dividing the LV into 17 segments (recently agreed to by the echocardiographic, nuclear, and magnetic resonance communities) and assigning a qualitative grade to each ranging from 1 (normal) to 5 (aneurysmal) (50). This method had changed little from the initial descriptions of wall motion abnormalities by echocardiography (51) and is observer-dependent. However, novel insights into myocardial structure and new echocardiographic modalities may dramatically change the way we assess regional function.
Myocardial structure and myocyte shortening.
Myocytes lie in planes parallel to the long axis of the heart. Within these planes, myocyte orientation varies. It is circumferential at the mid-wall, but rotates clockwise (as viewed from the outside) to form a 60° left-handed helix in the epicardium and counterclockwise to a +60° right-handed helix in endocardium (Fig. 3A) (52). Myocytes are organized into sheets 4 cells thick (53) that are stacked shingle-like (52) (Fig. 3A), transducing a 14% decrease in myocyte length to 40% thickening of the LV wall (54) by increasing sheet angles during systole (Fig. 3B) (52,5456). Also, myocytes passively shorten due to the action of adjacent areas, and because of the conservation of mass, the subendocardium consistently shortens more than in the subepicardium (Fig. 4) (57). With these issues in mind, it is obvious that new imaging modalities should discriminate between various segments and layers of the heart to fully appraise contractility.

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Figure 3 (A) Myocardial fiber and sheet orientation within a block of muscle excised from the anterior wall of the left ventricle. Myocytes lie in planes parallel to the long axis of the heart. Within these planes, myocyte orientation is circumferential at the mid-wall, but rotates clockwise (when viewed from the outside) to form a 60 degree left-handed helix in the epicardium (Epi) and counterclockwise to a +60° right-handed helix in endocardium (Endo). Myocytes are organized into sheets 4 cells thick that are stacked like shingles. (B) Myocardial sheet movement during cardiac cycle. During systole, due to rearrangement of myocytes, sheets are becoming more perpendicular toward the endocardium, thus helping to transform a 14% decrease in myocyte length to 40% thickening of the left ventricular wall.
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Figure 4 A dramatic difference between endocardial and epicardial shortening (quantitated by measurement of circumferential strains) of the septum and lateral wall in a normal left ventricle detected by speckle tracking imaging.
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DTI.
By eliminating the wall filter and using low-gain amplification, it is possible to display myocardial tissue velocity either as a PW Doppler signal at a specific place in the myocardium, a color map, or an arbitrarily oriented M-mode. Imaged from the apex, it is possible to visualize long-axis motion towards the apex in systole, reversing itself in diastole, with complex biphasic movements during isovolumic periods. Newer machines can simultaneously capture multiple color DTI planes arranged around a common axis. Analysis of such simultaneously acquired DTI data over several LV regions has been used to assess LV synchrony (5860) and as an additional tool during stress echocardiography (61).
Doppler tissue imaging assessment of contractility has a number of limitations: 1) like all Doppler methods, it can only measure the component of motion parallel to the ultrasound beam; 2) velocity may reflect gross translation (as in right ventricular volume overload) (62), rather than actual local contraction; and 3) even akinetic segments show motion due to tethering of adjacent normally contracting segments.
DTI-derived strain measurements.
To overcome the latter 2 problems, DTI-derived strain and strain rate have been recently proposed as new parameters of regional LV function. Strain is a mathematically complex construct (a 3D tensor, represented by a 3 x 3 matrix), reflecting local tissue deformation. Deformation can occur by linear compression or expansion along the x-, y-, or z-axes (termed the linear components and represented by the diagonal elements of the tensor, with negative numbers reflecting compression); deformation can also occur when 1 plane slides relative to an adjacent plane, termed shear and represented in the off-diagonal elements of the tensor. For incompressible tissue-like myocardium, the elements above the diagonal are opposite to those below, so there are only 6 independent elements to the myocardial strain tensor (63). There are a myriad of different mathematical representations for strain, but cardiology most commonly uses Lagrangian strain ( ), a change of dimension divided by the initial dimension, L/L0, (Fig. 5A) where L0 is the end-diastolic dimension of a myocardial segment, so is negative for long-axis strain (myocardium shortens) and positive for radial strain (wall thickening). In actuality, the initial entity calculated from DTI is the strain rate, given by the spatial derivative of velocity along a scanline dv/ds, reflecting instantaneous contraction and relaxation of the tissue. Integrating strain rate during systole and performing some further mathematical conversions yields systolic Lagrangian strain. Although strain has been used previously in cardiology for the purpose of diastolic function assessment (64), these older studies bear little connection to this newer resurgence of interest in strain, because they referenced strain to the theoretical unloaded dimensions of the ventricle.

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Figure 5 (A) One-, 2-, and 3-dimensional representation of linear myocardial strains. (B) One-dimensional strain obtained by tissue Doppler imaging (TDI). (C) Two-dimensional strain obtained by speckle tracking imaging (STI). (D) A hypothetical strain that could be obtained by STI analysis of 3-dimensional data set.
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Doppler tissue imagingobtained strain and strain rate have the time resolution capability far superior to any other non-invasive method (Fig. 5B). Doppler tissue imagingderived strain accurately measures longitudinal deformation of the heart (65) and is sensitive to early stages of ischemia (66). Strain rate imaging is also useful in the assessment of myocardial viability after infarction (67). Normal age-stratified values for DTI, myocardial displacement (the integral of DTI velocity, reflecting total movement of the myocardium during systole), strain, and strain rate have been published (68). Intuitively, strain rate should be more sensitive to pathology than strain (because prolonged contraction may yield normal strain despite low strain rate), but in practice, strain rate data are noisier, whereas the integration process makes strain data more reproducible. Finally, strain and systolic strain rate show some preload dependency due to their sensitivity on initial diastolic dimension through the Starling mechanism.
Speckle tracking imaging (STI).
Doppler tissue imagingderived strain and strain rate have several limitations. As DTI strain measures only the deformation occurring in the direction of the ultrasound scanline, it yields only a single component of the strain tensor and is very sensitive to transducer orientation, even more so than the usual Doppler angular dependency. In fact, assessing longitudinal contraction at only 45° off of the correct orientation yields zero strain (69). To avoid this angle dependence of all Doppler techniques, STI has recently been introduced. Speckle tracking imaging identifies characteristic speckles within the myocardium and tracks them frame-by-frame to yield tissue deformation in 2 dimensions (Fig. 5C). Speckle tracking imaging is independent of transducer orientation and allows accurate display of tissue velocity, strain rate, strain, and a host of other derived parameters in 2 orthogonal dimensions. Recent studies have shown good accuracy (70) and usefulness in the clinical setting (71).
Strain and strain rate assessment by either DTI or STI are still relatively new and evolving technologies. Clinical conditions emerging as especially suitable to these modalities are regional function assessment at rest (72), during stress echocardiography (73), during acute ischemia (74), and for detecting viability (75).
Assessment of diastolic function.
With respect to cardiovascular performance at rest and exercise, of equal importance to systolic function is diastolic function, the ability of the ventricle to fill at low left atrial pressure. Echocardiographic assessment of diastolic function begins with recording the transmitral filling pattern via pulsed Doppler at the mitral leaflet tips. Normally, the early filling wave (E) is larger than the A-wave of atrial contraction, but with LV hypertrophy and other pathologies commonly seen with aging, the E/A ratio falls below 1, termed delayed relaxation. Theoretical (76), in vitro (77), animal (78), and clinical studies have shown that the acceleration of the E wave (and for the most part its maximal velocity) is proportional to left atrial pressure divided by , the exponential time constant of isovolumic LV pressure fall. With progressive diastolic dysfunction, compensatory mechanisms to preserve SV yield higher left atrial pressure, reversing the delayed relaxation pattern to the pseudonormal one, with E/A >1 (79). At end-stage, the ventricle fills only at a very high pressure and on a steep (and stiff) portion of the diastolic pressure-volume curve, yielding the restrictive filling pattern, with E > A, and deceleration time <150 ms, a pattern with an exceedingly poor prognosis (80,81).
Pulmonary venous flow is a helpful adjunct in diastolic function assessment. A recent review summarizes the assessment of pulmonary venous flow (82), the most useful aspect being the size and morphology of the atrial reversal wave that occurs with atrial contraction. Deep and broad reversal waves indicate high ventricular stiffness (83), and the difference between the duration of transmitral and pulmonary venous A waves is predictive of LV end-diastolic pressure (84). Worsening systolic (and diastolic) function is associated with a diminished S wave, but this is also seen with mitral regurgitation and atrial fibrillation.
Transmitral and pulmonary venous flow indexes are sensitive to left atrial pressure (as with the normal and pseudonormal filling patterns), and investigators have sought indexes less sensitive to load. For example, in heart failure, early diastolic myocardial velocity by DTI falls with delayed relaxation, but does not rise with compensatory preload adjustment and so can distinguish normal from pseudonormal transmitral flow (85) and constrictive pericarditis from restrictive cardiomyopathy (86).
Color M-mode flow propagation is obtained by directing an M-line from the LV apex through the mitral valve into the left atrium and recording a spatiotemporal map of flow propagating across the mitral valve in diastole, shown to be related to LV relaxation (87) and to be slowed in ischemia and heart failure (88,89). A number of methods have been proposed for estimating the propagation velocity, but we favor simply shifting the color baseline so that aliasing occurs at about 30% to 40% of the maximal transmitral velocity and measuring the slope of the red-blue transition. Values below 45 cm/s tend to be predictive of diastolic dysfunction. Flow propagation velocity is not prone to pseudonormalization with rising filling pressure (90) (Fig. 6). The major pitfalls in assessing color M-mode flow propagation velocity are low reproducibility due, in part, to misalignment of color M-mode cursor and mitral inflow, and misinterpreting very rapid low velocity motion that occurs during isovolumic relaxation as the true propagation velocity. Low reproducibility is more of a problem at high flow propagation velocity, as the base-apex propagation time is short, with high relative error. Automated methods may make flow propagation measurements more reproducible (91).

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Figure 6 An example of the mismatch between high transmitral E-wave velocity (vmax; left) and flow propagation velocity (vp) occurring in a patient with a heart failure and elevated preload. PW = pulsed wave.
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Summarizing diastolic function assessment.
The Canadian Consensus on Diastolic Dysfunction (92) has defined 3 stages of diastolic dysfunction using standard PW Doppler (Table 1), which reflect increasing LV chamber stiffness and elevated left atrial pressure that lead to heart failure symptoms and correlate with patients outcome. Because a classification based solely on mitral and pulmonary vein flow is sometimes equivocal, we have proposed additional criteria using color M-mode and DTI data (93). Further refinements include preload decrease maneuvers to substratify restrictive filling stage into reversible (where preload decrease results in normalization of filling) and irreversible stages. Finally, newer markers of diastolic function (based on strain rate imaging or intraventricular pressure gradient measurements) may bring even more refinement to the classification of diastolic function.
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Estimation of invasive indexes of diastolic function
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Moving beyond the qualitative assessment of diastolic function described in the preceding text, we turn to more quantitative estimates of invasive diastolic function parameters like relaxation, compliance, filling pressure, and diastolic suction (intraventricular pressure gradient).
Relaxation.
The time constant of isovolumic pressure decay, or tau, represents a reference invasive measure for relaxation. Tau can be estimated from the isovolumetric relaxation time (IVRT) using the simplified equation:
with filling pressure measured invasively, estimated non-invasively (see the following text), or assuming a filling pressure of 10 mm Hg for patients not in heart failure (94). Also, several other surrogates of tau can be assessed by echocardiography. These include isovolumic relaxation time itself (95), the color M-mode flow propagation velocity (96), early myocardial relaxation velocity (97), and the time difference between the E-wave onset recorded by PW Doppler and by PW DTI at the mitral annulus (98).
LV compliance.
In vitro and theoretical analysis predicts that the deceleration time of the E wave is shortened by low LV operating compliance (76). Animal (99) and clinical (100) work has validated this concept, which likely explains the poor prognosis of the restrictive filling pattern (80,81).
Filling pressures.
Most of the numerous methods to estimate LV filling pressures are empirical, because there is no physical relationship that can be used to extract absolute pressures echocardiographic data. One exception is estimating left atrial pressure by subtracting the peak LV-left atrial pressure difference (obtained from continuous wave Doppler of mitral regurgitation) from systolic blood pressure, a method with high relative error because we must subtract 2 large numbers, each with their own intrinsic error, to yield a small number (101,102). Other approaches that have some theoretical underpinnings recognize that E velocity is proportional to (left atrial pressure)/tau, whereas annular E-wave (Ea) and color M-mode velocity of propagation (Vp) are assumed load-independent and inversely related to tau. Thus, both E/Ea (103) and E/Vp (104) have been shown to be linearly related to left atrial pressure. Other proposed estimation methods have used mitral E-wave deceleration time (105), a multiple regression model that incorporates several predictors (106) and differences in the timing of the E-wave onset recorded by standard, as opposed to tissue, PW Doppler (98). Of interest, this last method is based on manipulation of a simplified tau equation (98) (Table 2). One has to be reminded that although all of the methods showed promise in initial reports, frequently contradictory data emerge in duplication studies. Also, DTI and color M-mode indexes are not entirely preload-independent, particularly in normal hearts. Finally, in all of the studies, limits of agreement between echocardiography-derived estimates and invasive standards were 5 mm Hg or more, indicating that echocardiographic filling pressures are still just estimates.
Intraventricular pressure differences.
Studies over the past 25 years have shown the existence of small (2 to 4 mm Hg) pressure differences between the base and the apex of the LV during early diastole (107), which facilitate efficient filling by keeping filling pressure low. Importantly, these are eliminated by ischemia (108) and other pathologies, but their actual invasive measurement is so complex as to preclude clinical use. A recent development in this area is the ability to calculate atrioventricular and intraventricular pressure gradients completely non-invasively by applying the Euler equation to the color M-mode velocity profile (Fig. 7). The Euler equation requires a spatiotemporal velocity map v(s,t) of flow along a streamline and yields the rate of change of pressure along that streamline of flow. The first of the 2 elements of the equation represents an inertial term related to acceleration of blood, whereas the second term reflects the conversion of potential to kinetic energy by convection. Note that all we need to solve this equation is a representation of velocity as a function of space and time, which is precisely what the color M-mode is. The Euler equation is closely related to the Bernoulli equation, which yields the total pressure drop across a discrete stenosis. Integrating the Euler equation from the base to the apex yields the intraventricular pressure difference. This non-invasive approach has been validated in animals (109) and in patients with hypertrophic cardiomyopathy, demonstrating a significant improvement in diastolic suction with successful alcohol septal ablation (110). Intraventricular pressure difference has been shown to be low in patients with dilated cardiomyopathy (111), whereas the augmentation of suction has also proven highly predictive of exercise capacity in normal subjects and heart failure patients (112). As noted in the preceding text, intraventricular pressure difference measurements along the LVOT have been shown to estimate systolic function accurately.

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Figure 7 A standard time/velocity map obtained by color M-mode (top); a time/pressure gradient map generated from color M-mode data by solving Euler equation (middle); and tracings of intraventricular pressure differences obtained by integration of time/pressure gradient map (bottom). E = peak early diastolic gradient obtained from left ventricular inflow; LV = left ventricular; LVOT = left ventricular outflow tract; S = peak systolic gradient obtained from the LVOT.
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Shear strain and torsion.
One of the intriguing aspects of the complex fiber architecture of the LV is how it produces shearing and torsion of the ventricle, similar to wringing a towel dry. Shear strain appears when a force acts parallel to the reference plane, leading to a change of shape. Figures 8A and 8B illustrate the link between myocardial structure, shear strain, and torsion. A simple way to think of torsion is the difference in rotation between the base and apex of the heart. Viewed from the apex, left-handed epicardial fiber helix tries to pull the apex counterclockwise and the base clockwise. The right-handed helix in the endocardium does the opposite, but because the epicardium is farther from the centerline, its torque is greater and thus it dominates the twisting (113), leading to about a 12° difference between base and apex.
Though a fundamental measure of LV mechanics, torsion measurement has previously required sophisticated magnetic resonance tagging (114). We have recently developed 2 echocardiographic methods for quantifying torsion, one based on DTI (115), the other, recently confirmed, based on STI (116,117). The STI method is easier, but with lower time resolution (Fig. 9). A cross-sectional study of subjects from newborn to 50 years showed maturational changes in torsion, with the heart rotating clockwise essentially as a solid body in infancy, developing the adult pattern of torsion by adolescence (118). Torsion appears to be a critical link between systole and diastole, with elastic energy stored during systole, then abruptly released with sudden untwisting during isovolumic relaxation, generating intraventricular pressure gradients and allowing filling to proceed at low filling pressure. This is particularly important during the disproportionately shortened diastole of exercise. We have shown that the untwisting rate is highly correlated with intraventricular pressure difference at rest and exercise, a relationship that holds both in health and in presence of hypertrophic cardiomyopathy (119).

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Figure 9 Quantitation of torsion and torsion velocity (rate) by speckle tracking imaging. Images to the left represent cross-sectional views of the base and the apex of the left ventricle superimposed with speckle tracking imaging-generated markers of left ventricular torsion. Images to the right represent torsion rate and torsion signal. Arrowhead and arrow mark peak negative torsion velocity and peak systolic torsion, respectively.
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What to do when?
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Which of these myriad measurements should be made in routine echocardiographic practice? No laboratory can afford to do all of these either in acquisition or interpretation, but general guidelines may be offered, balancing those measurements that are easiest to make and give the greatest value. We feel that end-diastolic and -systolic volumes should be measured, ideally by 3D but acceptably by 2D echocardiography and Simpsons rule, from which EF and SV can be calculated. Stroke volume should also be measured directly by PW Doppler in the LVOT. Color and continuous wave Doppler should be obtained through every valve to seek occult stenosis or regurgitation. If stenotic, valve area should be calculated by continuity or planimetry; for mitral or tricuspid regurgitation, a proximal convergence zone should be sought and analyzed, whereas for aortic, flow reversal in the aortic arch is a useful adjunct to regurgitant jet appearance. Diastolic function should be assessed with PW Doppler at the mitral leaflet tips and pulmonary vein, PW DTI at the lateral annulus, and color M-mode flow propagation, the latter 2 of which may often be judged qualitatively (low/high, slow/fast) for a quick separation of normal from pseudonormal pattern. Left atrial area and/or volume are an indispensable part of final diastolic function report. Regional wall motion should be qualitatively assessed globally and segment-by-segment, and, if available, (semi)automated analysis methods may make this more reproducible. Advanced methods like torsion and intraventricular pressure gradients are promising, but beyond the scope of routine clinical practice. It is hoped that ultrasound manufacturers will develop accessible user interfaces to bring these techniques into common practice as they have done with previously arcane methods like the continuity equation and pressure half-times.
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Conclusions
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In summary, Doppler echocardiography has proven to be the most versatile cardiovascular imaging modality, providing a comprehensive assessment of valvular and ventricular hemodynamics and global and regional systolic and diastolic function. With improvements in transducer technology and the relentless doubling of computer speed every 18 months, we can only expect ever more precise echocardiographic assessment of cardiac mechanics.
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Footnotes
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Supported by grants from the National Institutes of Health (grant AG17479-02), the National Space Biomedical Research Institute through NASA NCC 9-58 (Houston, Texas), the Department of Defense (Ft. Dietrick, Maryland, USAMRMC grant No. 02360007), the National Institutes of Health, National Center for Research Resources, General Clinical Research Center (grant MO1 RR-018390), and by a National American Heart Association grant (0235172 N).
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References
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Z. B. Popovic and J. D. Thomas
Echocardiography and a quest of the promised land of the accurate assessment of cardiac mechanics
Eur J Echocardiogr,
July 1, 2009;
10(5):
583 - 584.
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A. Buakhamsri, Z. B. Popovic, J. Lin, P. Lim, N. L. Greenberg, A. G. Borowski, W.H. W. Tang, A. L. Klein, H. M. Lever, M. Y. Desai, et al.
Impact of left ventricular volume/mass ratio on diastolic function
Eur. Heart J.,
May 2, 2009;
30(10):
1213 - 1221.
[Abstract]
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N. Hassan, M. Salem, and M. Sayed
Doping and effects of anabolic androgenic steroids on the heart: histological, ultrastructural, and echocardiographic assessment in strength athletes
Human and Experimental Toxicology,
May 1, 2009;
28(5):
273 - 283.
[Abstract]
[PDF]
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B. T. Esch and D. E. R. Warburton
Left ventricular torsion and recoil: implications for exercise performance and cardiovascular disease
J Appl Physiol,
February 1, 2009;
106(2):
362 - 369.
[Abstract]
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N. Skubas
Intraoperative Doppler Tissue Imaging Is a Valuable Addition to Cardiac Anesthesiologists' Armamentarium: A Core Review
Anesth. Analg.,
January 1, 2009;
108(1):
48 - 66.
[Abstract]
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G. Buckberg, J. I.E. Hoffman, A. Mahajan, S. Saleh, and C. Coghlan
Cardiac Mechanics Revisited: The Relationship of Cardiac Architecture to Ventricular Function
Circulation,
December 9, 2008;
118(24):
2571 - 2587.
[Abstract]
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O. Gjesdal, T. Helle-Valle, E. Hopp, K. Lunde, T. Vartdal, S. Aakhus, H.-J. Smith, H. Ihlen, and T. Edvardsen
Noninvasive Separation of Large, Medium, and Small Myocardial Infarcts in Survivors of Reperfused ST-Elevation Myocardial Infarction: A Comprehensive Tissue Doppler and Speckle-Tracking Echocardiography Study
Circ Cardiovasc Imaging,
November 1, 2008;
1(3):
189 - 196.
[Abstract]
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A T Burns, I G McDonald, J D Thomas, A MacIsaac, and D Prior
Doin' the twist: new tools for an old concept of myocardial function
Heart,
August 1, 2008;
94(8):
978 - 983.
[Abstract]
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M. R. Cesarone, A. Di Renzo, S. Errichi, F. Schonlau, J. L. Wilmer, and J. Blumenfeld
Improvement in Circulation and in Cardiovascular Risk Factors With a Proprietary Isotonic Bioflavonoid Formula OPC-3(R)
Angiology,
August 1, 2008;
59(4):
408 - 414.
[Abstract]
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Z. B. Popovic, C. Benejam, J. Bian, N. Mal, J. Drinko, K. Lee, F. Forudi, R. Reeg, N. L. Greenberg, J. D. Thomas, et al.
Speckle-tracking echocardiography correctly identifies segmental left ventricular dysfunction induced by scarring in a rat model of myocardial infarction
Am J Physiol Heart Circ Physiol,
June 1, 2007;
292(6):
H2809 - H2816.
[Abstract]
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