Abstract
Ventricular pressure–volume (PV) analysis is the reference method for the study of cardiac mechanics. Advances in calibration algorithms and measuring techniques brought new perspectives for its application in different research and clinical settings. Simultaneous PV measurement in the heart chambers offers unique insights into mechanical cardiac efficiency. Beat to beat invasive PV monitoring can be instrumental in the understanding and management of heart failure, valvular heart disease, and mechanical cardiac support. This review focuses on intra cardiac left ventricular PV analysis principles, interpretation of signals, and potential clinical applications.
Keywords: Pressure-volume loop, Left ventricular haemodynamics, Myocardial energetics
Introduction
Otto Frank originally described the cardiac cycle and ventricular properties through the window of the pressure–volume (PV) loop in 1895. Suga and Sagawa introduced methods for real-time measurements in ex vivo blood-perfused hearts, which spawned research that culminated in unprecedented understanding of ventricular mechanics and energetics. The introduction of the PV catheter by Baan et al. facilitated in vivo studies.1–5
Recently developed algorithms for simplified calibration, single-beat estimation of end-systolic and end-diastolic pressure–volume relations (ESPVR and EDPVR, respectively) and for the evaluation of intra-ventricular dyssynchrony galvanized the interest in PV analysis in the clinical setting.4–7 The PV analysis can elucidate pathophysiological mechanisms of heart failure (HF), including HF with preserved ejection fraction (HFpEF), myocardial and valvular heart diseases as well as monitoring the effects of therapeutic interventions.8–20 As such, PV measurements have the potential for increased adoption in contemporary research and clinical practice. The PV loops can be obtained from all cardiac chambers using similar techniques.20–24 The reader is referred to the specialized literature for a more holistic understanding. This review focuses on the fundamentals of left ventricular (LV) PV analysis highlighting practical aspects of PV measurements, interpretation of signals and potential applications to clinical practice.
Invasive acquisition of LV pressures and volumes
Clinical PV acquisition is made with a 4–7 F PV catheter, containing 12 equidistant electrodes equally spaced with a solid-state pressure sensor in the middle of the electrode array (Inca, CD Leycom). Placement is trans-aortic or trans-septal with its tip in the LV apex with the most proximal electrode above the aortic or mitral valve respectively (Figure 1).
In brief, an electrical current (I) between distal and proximal electrodes sets up an electrical field. Since blood is partially conductive, the voltage decreases across each successive pair of electrodes. The voltage drop between two adjacent electrodes (Vi) is inversely related to (i) the cross-sectional area (Ai) of a hypothetical cylindrical segment defined at the level of the electrodes, (ii) the distance between electrodes (D), and (iii) blood resistance (ρ) as measured by the Inca system. The segmental volume between an adjacent pair of electrodes (Voli,est) is estimated by: Voli,est ≈ Ai·D ≈ I·ρ·D2/Vi, where Vi is directly measured. Total LV volume (Vtotal,est) is the sum of the volumes of all segments within the LV chamber: Vtotal,estVi,est. The number of segments inside the LV is obtained from segmental PV loops as shown in Figure 1.3,4
The first method of volume calibration relies on immediate pre-procedure measurements of LV end-diastolic volume (Ved) and stroke volume (SV) or ejection fraction (EF) taken from echocardiography, computed tomography, or cardiac magnetic resonance imaging. This concept assumes that chamber dimensions remained constant between the time of imaging acquisition and the time of invasive PV measurement. A second and more accurate method can be drawn from a combination of hypertonic saline infusion into the pulmonary artery or right atrium (to determine ‘parallel’ conductance) and thermodilution to assess SV.19
A few conditions are worth noting. First, volume calibrations must be repeated in case of catheter displacement or haematocrit variations (e.g. in case of bleeding events). If no accurate imaging modality is available the ‘hypertonic saline infusion and thermodilution’ calibration method should be favoured. Second, pressure calibration is required and needs confirmation to avoid pressure drift between start and end of recording sessions.
Pressure–volume analysis
General considerations
Ideally, the PV loop is rectangular or trapezoidal, depicting the four phases of the cardiac cycle (Figure2A): isovolumetric contraction, ejection, isovolumetric relaxation, and passive filling.
End-systolic and end-diastolic PV relationships (ESPVR and EDPVR) characterize LV systolic and diastolic properties, respectively (each detailed further below). Classically, measurement of these relationships requires transient modulations of preload (e.g. inferior caval vein occlusion) or afterload (e.g. hand grip manoeuvre) (Figure 2B).
Single-beat algorithms simplify PV analysis by estimating ESPVRs and EDPVRs from a single steady-state PV loop tracing and further relying on measurements of arterial systolic and diastolic pressures, SV, EF, pre-ejection time period, and total systolic period that are obtained with the conductance catheter, or by non-invasive means using echo-Doppler. These algorithms are readily programmed into spreadsheets and available online.6,7,18
Depending on the purpose for which PV loops are measured, single-beat algorithms in combination with simplified means of PV catheter calibration may suffice and thus facilitate PV analysis.
End-systolic pressure–volume relationship
The ESPVR is approximately linear in the physiological range of end-systolic pressures (Pes) and volumes (Ves) (Figure 2A). It is characterized by a slope (end-systolic elastance, Ees) and a volume axis intercept V0 such that Pes = Ees·(Ves − V0). Ees represents the peak chamber elastance during a beat and reflects ventricular chamber mechanical properties when the maximum number of actin-myosin bonds is formed. Ees increases with positive inotropism (e.g. dobutamine, milrinone, levosimendan) and sympathetic activation, but decreases with negative inotropism (beta-blockers, calcium channel blockers), dyssynchrony, and myocardial ischaemia or infarction. Ees is a relatively load-independent measure of LV contractility.2,7,10,11
Because ESPVR is a regression between multiple correlated Ves and Pes points, the impact of an intervention must simultaneously consider changes in Ees and V0. Increased contractility occurs when changes in Ees and V0 result in a leftward and/or upward ESPVR shift. Another index, V100, is the ESPVR-extrapolated (or interpolated) volume at 100 mmHg. V100 typically lies within the physiological range of PV values (Figure 2A). High V100 reflects decreased contractility and vice versa.11
End-diastolic pressure–volume relationships
In contrast to ESPVR, the EDPVR is non-linear (Figure 3A). The EDPVR reflects the passive mechanical properties of the LV chamber, when all actin–myosin bonds are uncoupled. Accordingly, the EDPVR is determined by the size, orientation and mass of myocytes, and the extracellular matrix. Fibrosis, ischaemia, oedema, myocyte remodelling, and hypertrophy affect the EDPVR. Its slope (dP/dV) indexes LV chamber stiffness, and is load-dependent. Compliance is the mathematical inverse of stiffness (i.e. dV/dP). The LV volume at 30 mmHg on the EDPVR (V30) reflects compliance and would suggest remodelling (rightward shift of the EDPVR) or diastolic dysfunction (leftward shift of the EDPVR). V30 increases in HF with reduced EF (HFrEF) and decreases in restrictive and hypertrophic cardiomyopathies.11
Ventricular performance is also highly influenced by the rate of relaxation (or lusitropy) (Figure 3B). The rate of pressure decay during isovolumetric relaxation is characterized by an exponential time constant of decay (τ), or the time for pressure to fall by 50% (t1/2), reflecting the average rate of cross-bridge uncoupling within the myocytes. A normal value of τ is ∼20–30 ms. Impaired relaxation (e.g. LV hypertrophy, ischaemia) prolongs τ (e.g. 70–100 ms) and will affect LV diastolic filling especially at higher heart rates (Figure 3B). The maximal rate of pressure fall during relaxation (−dP/dtmax) is also used, but is highly load-dependent.12
Early diastolic suction
Under conditions of restrictive inflow elastic recoil may continue after the isovolumetric relaxation and mitral valve opening and cause a further LV pressure decline despite volume increase. The diastolic portion of the PV loop can fall below the zero-pressure line (Figure 3C). This diastolic suction phenomenon may enhance filling in conditions such as mitral stenosis and fluid depletion, but is blunted in HFrEF and HFpEF when filling pressures are high and there is no limitation of flow from the atrium to the ventricle.20
Ventricular-arterial coupling
The effective arterial elastance (Ea) is the slope of the line connecting Ved on the volume axis to the end-systolic PV point on the PV loop. Accordingly, Ea is the ratio between Pes and SV (Figure 2A) and is determined by total peripheral resistance and heart rate (Ea ∝ TPR·HR). The ratio between Ea and Ees represents an index of ventricular-arterial coupling (VAC). Under normal conditions, Ea/Ees varies around 0.6 in humans. Within this range, there is optimal matching of ventricular and vascular properties so that values of stroke work (SW) and overall metabolic efficiency are near optimum values. HFrEF increases Ea and decreases Ees so that the Ea/Ees increases, which reflects ventricular-arterial mismatching. In contrast, age and hypertension increase Ea and Ees resulting in a normal or slightly elevated Ea/Ees. Finally, exercise in healthy individuals elevates Ees but reduces Ea lowering Ea/Ees, and suggesting more efficient energy transfer from the LV to the periphery (SW).2,8,17,21
Myocardial energetics
The total LV mechanical energy per beat is indexed by the PV area (PVA), which is the sum of the SW (i.e. the area within the PV loop) and the residual potential energy (PE) stored in the myocardium at the end of contraction (Figure 4A). Clinically, SW is estimated by the product of SV and mean arterial pressure (MAP) during ejection (SW ≈ SV · MAP). Stroke work represents the energy required to propel blood across the vasculature. Potential energy is the remaining energy stored in the myofilaments at the end of systole that is not dissipated as external SW. The PVA correlates linearly with the myocardial oxygen consumption per beat (MVO2) (Figure 4B). Total MVO2 includes the basal metabolism, intracellular calcium cycling involving the sarcoplasmic reticulum (both independent of PVA) and cross-bridge cycling (directly proportional to PVA). Changes in ventricular contractility are generally due to changes in calcium cycling and cause concomitant changes in the MVO2 axis intercept of the MVO2–PVA relationship.2
When multiplied by HR, PVA represents total power output (i.e. PVA·HR). Total power output is useful in evaluating the effects of inotropes and different classes of mechanical circulatory support devices as these affect cardiac metabolism during ischaemia and cardiogenic shock.22
Intra-ventricular dyssynchrony
Segmental PV loops help evaluate dyssynchrony (Figure 5). When a segment is ‘synchronous’, the segmental PV loops are in phase with the global PV relationship. Dyssynchronous segmental PV loops appear distorted, progressing to a figure-of-eight and running out of phase in a counter-clockwise rotation. Segmental dyssynchrony is quantified by the percent of time a segment is moving in a direction opposite to the total volume change; total ventricular dyssynchrony is the average of segmental dyssynchrony of all segments. Dyssynchrony can be further quantified as the percentage of the energy mobilized by a non-dyssynchronic PV loop (cycle efficiency). Cycle efficiency decreases when more segmental PV loops have distorted shapes.5,10,12,13,15
Clinical applications
Left ventricular PV analysis in the catheterization laboratory provides important contributions to the understanding of the pathophysiology, diagnosis, and treatment of various conditions (Take home figure). Below we discuss salient findings in various cardiac conditions using real patient data and cardiovascular simulations.18
Myocardial ischaemia
In haemodynamically significant coronary stenosis, perfusion pressure falls and contractility decreases. Regional ischaemia induces focal hypo-contractility (hypo- or akinesia) and dyssynchrony that disturbs normal isovolumetric processes. Concomitantly, active relaxation (τ) is impaired. In the setting of prolonged τ, tachycardia leaves insufficient time between contractions for uncoupling of all actin–myosin bonds, a phenomenon called incomplete relaxation. This amplifies diastolic dysfunction and elevates the EDPVR. Higher end-diastolic pressures (Ped) are required to maintain SV. Ischaemic cardiomyopathy (Figure 6A) and exercise in HFpEF follow similar principles (Figure 6B). Incomplete relaxation can be distinguished from true shifts of the EDPVR in real time by observing changes in the diastolic portion of the PV loop during a pause when prolonged diastole allows for full relaxation (Figure 6)C.23–26
The PV loop monitoring may provide sensitive real-time beat-to-beat assessment of the effects of myocardial ischaemia during high-risk percutaneous coronary interventions, especially when performed on proximal segments that serve perfusion to large downstream myocardial territories. Early detection of systolic and/or diastolic dysfunction would allow for timely adjustment of treatment strategies to prevent haemodynamic compromise and pulmonary oedema.25,26
Mitral and aortic regurgitation
Mitral and aortic regurgitation (MR and AR) demonstrate characteristic changes in the LV PV loop shape (Figure 7). Chronically, EDPVRs and PV loops shift rightwards (i.e. adaptive chamber dilatation or remodelling) reflecting fluid overload and increased LV Ped.27–29
In MR (Figure 8A), the isovolumetric contraction is shortened and ejection starts earlier due to the regurgitant backflow. At end-systole, regurgitation can further reduce LV volume even after aortic valve closure, until LV pressure falls below the left atrial pressure. Conversely, in AR (Figure 7B), the diastolic aortic pressure is lower, which mitigates the isovolumetric contraction and favours premature ejection. The isovolumetric relaxation disappears due to the regurgitant flow through the incompetent aortic valve.27,28,30
In both MR and AR, total SV (loop width) equals the sum of the forward plus regurgitant volumes. Thus, global EF may not be reflective of LV contractility. ESPVR and Ees remain valid measures of contractility because both are relatively load independent.30–33
The PV loops provide immediate insights into the effects of mitral interventions such as edge-to-edge mitral repair. Changing PV loop morphology can help tailor positioning and/or determine number of clips to optimize a final result and help differentiate responders from non-responders. Responders may show acute increases in Pes and Ves, with concomitant reduction in global SV and global EF (Figure 8A). Reductions of EF would then reflect relative changes in afterload and should not be interpreted as reductions in ventricular contractility.33,34
Mitral and aortic stenosis
Mitral stenosis reduces LV preload and increases pulmonary venous pressures. The ESPVR and active relaxation (τ) are preserved. Early diastolic suction could theoretically occur in early diastole (Figure 3C).35
Aortic stenosis (AS) augments total LV afterload and elevates Ea/Ees. In this setting, Ea reflects the combination of arterial and valvular resistances and is generally markedly increased. Pressure rises sharply during systole to a domed-shaped PV loop. Ved remains close to normal but Ves is commonly increased, reflecting reduced SV. After TAVI, LV peak pressure and Ved decrease while SV (and EF) can increase in response to the decreased afterload (Figures 8B and 9).27 During TAVI or balloon aortic valvuloplasty, acute changes in PV loops may help reveal the occurrence and functional significance of newly induced AR (Figures 8C and 9).
Heart failure
Left ventricular PV analysis can help define underlying pathology, monitor disease progression, and interventions in HF. In HFpEF, incomplete relaxation causes exercise intolerance, mostly during tachycardia. Ea and Ees increase proportionally and the ratio Ea/Ees remains stable. The PV loop comparisons at rest and exercise can help to diagnose HFpEF (Figure 6B). Of note, HFpEF is characterized by similar effects in the RV and LV and helps explain the rapid rise of both central venous and pulmonary capillary wedge pressures with exercise.8,23,24,36–38
In HFrEF, the ESPVR, EDPVR, and PV loops shift rightwards due to ventricular remodelling (Figures 3A and10). There are significant increases in Ea/Ees ratio (>1.2) indicating ventricular-vascular mismatching that persists with exercise.39
Intra-ventricular dyssynchrony and cardiac resynchronization therapy
Dyssynchrony is common in HF, particularly in HFrEF patients with left bundle branch block. Invasive PV analysis may visually confirm baseline dyssynchrony and help select the most effective pacing site during cardiac resynchronization therapy (CRT) by monitoring the restitution of synchronization. In parallel, SW and contractility should improve (Figure 5).15,40–42
Ventricular reconstruction and partitioning
The PV analysis revealed increased diastolic dysfunction after surgical ventricular reconstruction through resection of viable hypocontractile tissue in dilated cardiomyopathies because the EDPVR shifted more to the left than the ESPVR. Conversely, removal of post-infarct akinetic scar tissue created a more homogenous left shift of the EDPVR and ESPVR with no deleterious effect on overall LV function.9,10,13,43–45
Mechanical circulatory support
The intra-aortic balloon pump may provide some reductions in LV afterload and improve cardiac output and ventricular dyssynchrony in selected cases (Figures 11 and 12A).12
As more potent mechanical circulatory support emerged, PV analysis became the primary tool to assess their effect. The continuous flow axial percutaneous Impella (Abiomed Inc., Danvers, MA, USA) gradually shifts the PV loops to the left and downward (unloading) at higher flow states and making it triangular because isovolumetric contraction and relaxation fade (Figure 12B). In contrast, veno-arterial extracorporeal membrane oxygenation (VA-ECMO), pumps central venous blood to the arterial system via a membrane oxygenator. Veno-arterial extracorporeal membrane oxygenation unloads the right ventricle and improves peripheral oxygen delivery, but increases LV afterload shifting the PV loop toward higher end-diastolic volumes and pressures (Figure 12C). The increased afterload impedes aortic valve opening, promotes intra-ventricular dyssynchrony and reduces intrinsic SV. MVO2 and pulmonary venous pressures increase. Left ventricular venting strategy with concomitant use of a percutaneous assist device can counteract these unfavourable VA-ECMO effects (Figure 12D).22,46–48
Conclusion
Contemporary invasive PV analysis techniques provide real-time assessment of LV loading conditions, contractility, and indices of myocardial oxygen consumption. Further research is needed to determine whether such techniques can complement currently available measures of LV function and VAC to improve understanding of the pathophysiology and therapeutics of complex cardiac disease states in routine clinical practice.
Conflict of interest: F.M. received research support and speaker honoraria from Medtronic and Recor, and is supported by Deutsche Hochdruckliga, Deutsche Gesellschaft für Kardiologie, and Deutsche Forschungsgemeinschaft (SFB TRR 219). D.B. is an author of the Harvi online simulator. N.V.M. is advisor to and has received research grants from Medtronic, Abbott, Boston Scientific, and PulseCath BV. The other authors report no conflicts.
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