Pressure–volume loops are widely used in basic and preclinical research. Left ventricular PV loops are considered to be the gold standard for hemodynamic assessment and are widely used in research to evaluate cardiac performance. While it has long been possible to measure pressure in real time from the left ventricle, measuring the volume was technically more difficult. The use of ultrasonic sonomicrometry and the development of the conductance catheter triggered renewed interest in PV loops studies. In sonomicrometry, small ultrasonic transducers (usually referred to as "crystals") transmit signals to each other, and the distance between them is accurately determined based on the transit-time of the signals. By knowing the long and short axis lengths of the ventricle, ventricular volume is easily and accurately determined. Conductance catheters measure instantaneous conductance in the left ventricle, which is then converted to blood volume using complex formulas and usually after determining and applying various correction factors. Typically only one method is used to perform PV studies in research settings. The miniaturization of sonomicrometer crystals and pressure catheters have made mice PV loop studies feasible and more common.
Sonomicrometer method A sonomicrometer system is composed of an electronic signal-processing unit that is connected to small ultrasonic transducers (crystals). A computer acting as a data acquisition and display device obtains data in real time from the signal processor unit, while the crystals are implanted in or on the left ventrical. As few as 2 or as many as 6 crystals can be used to perform 1-axis, 2-axis, or 3-axis length measurements of the axial planes of the heart, usually at a rate of 200 to 2000 times per second. A typical sonomicrometer system has a resolution of 12 micrometres, enabling high-resolution measurements of the axial lengths.
Ventricular volume is computed directly (either in micro-liters or milli-liters) by combining the axial length measurements in standard spherical or ellipsoidal volume equations:
V o l u m e = 4 3 × π × r 3 {\displaystyle Volume={\frac {4}{3}}\times \pi \times r^{3}} (for a single-axis measurement)
V o l u m e = π 6 × L 1 × L 2 2 {\displaystyle Volume={\frac {\pi }{6}}\times L_{1}\times L_{2}^{2}} (for a two-axis measurement, where L1 is the length of the long axis)
V o l u m e = π 6 × L 1 × L 2 × L 3 {\displaystyle Volume={\frac {\pi }{6}}\times L_{1}\times L_{2}\times L_{3}} (for a three-axis measurement) When the axial measurements are acquired in terms of millimeters, then the volume units in these equations will be in terms of milliliters.
Conductance catheter technique A conductance catheter contains two or more ring-shaped electrodes along its length. When a high-frequency low-amplitude constant current is passed through the outer electrodes to generate an electric field, the potential difference between any pair of inner electrodes is inversely proportional to the amount of conductive material at that site. Conductance is defined as the applied current divided by the voltage measured between two adjacent electrodes. The conductance catheter technique has no major drawbacks but requires careful calibration of conductance signals. Other techniques exist but this article focuses on the well-established conductance catheter technique. (NOTE: For typical catheter configurations the linear relationship of the inverse potential difference to the amount of material is only an approximation. It is only valid for volumes where the diameter of that volume is less than the distance between the measuring electrodes.)
Theory The formula by Baan et al. (1984) for obtaining ventricular volume is as follows: V = 1 α × ρ × L 2 × ( G − G P ) {\displaystyle V={\frac {1}{\alpha }}\times \rho \times L^{2}\times (G-G^{P})}
where
V is volume α is the alpha factor. The value is between 0 and 1 but closer to 1. As can be inferred from the above formula, if the alpha factor is not taken into account, the calculated volume is an underestimate. ρ specific resistance of blood L distance between pair of electrodes G measured conductance GP parallel conductance The conductance measured by the catheter is actually the conductance of the blood and of the surrounding myocardial tissue. This latter conductance is called the parallel conductance (GP).
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