The following relates generally to systems and methods for measuring absolute cardiac volume.
Cardiac researchers often need to know the exact volume of blood throughout the cardiac cycle. This can be accomplished using a technique known as conductance catheter based volumetry. All matter has a characteristic conductivity that specifies the ability of the matter to conduct a current. Conductance volumetry and admittance volumetry are techniques that can be used to measure real-time changes in cardiac chamber volume in a live, beating heart based on the current flow through the blood and tissues in a cardiac chamber. A tetrapolar catheter incorporating a pair of excitation electrodes and recording electrodes is typically used for conductance volumetry of a heart ventricle. The signals received by the recording electrodes are correlated to volume through the use of Baan's Volume Equation. The volume measurements can be used to determine the stroke volume, which is the volume of blood that is pumped for each cardiac cycle or each “beat” of the heart. Stroke volume is an important indicator of various cardiac conditions, as it correlates with the cardiac function.
Due to the significant size of the tetrapolar catheter, its utility has typically been restricted to mammals of larger size, including humans. More recently however, tetrapolar catheters have been miniaturized to a point where they may be applied to small rodents, a typical subject of cardiovascular research. With these catheters, the recording electrodes may be spaced as little as a few millimetres apart and span the long axis of the ventricle.
Due to the proximity of the electrodes to adjacent heart tissue, the electric field is not confined to the space occupied by blood. The measured conductance or admittance is often a combination of the blood and muscle values. This results in an unpredictable overestimation of the cardiac volume when correlated to a model. The difficulty in separating the tissue component of the conductance or admittance from the blood component lies in the fact that the heart's tissues move throughout the heartbeat. The relationship between the measured conductance and the blood volume is non-linear. Because existing technology relies on a linear model of the relationship between conductance and volume, errors are particularly great close to the limits, where in an infinite volume of blood, the conductance is predicted to be infinite. Current leakage into the myocardium tissue may therefore result in an overestimation of volume.
Existing methods of more accurately estimating this volume rely on separating the blood contribution from the tissue contribution using the phase signal delay between the transmitted current signal and the observed admittance signal. In this approach, the time delay is attributed solely to the muscle component and the calibration is performed based on scheme developed by measuring electrical muscle properties. Alternatively, multi-frequency observations of admittance that attributes signal attenuation to muscle incursion into the electric field can be made. However, both of these methods suffer from the difficulties in measuring the electrical muscle properties of the heart. In particular, measuring electrical muscle properties of smaller animals, such as mice, is especially difficult.
Another method is the injection of a saline bolus to alter blood conductivity and extrapolate a line of identity. This approach is problematic due to its reliance on a linear model. Further, this method doesn't take into account considerable human error and the variation of the electric field throughout the heartbeat.
It is therefore an object of the present invention to obviate or mitigate the above disadvantages.
In one aspect, there is provided a method for determining absolute volume of a physical lumen, the method comprising: obtaining a plurality of admittance measurements; determining a first admittance value representative of the lumen at a peak volume; determining a second admittance value representative of the lumen at a lowest volume; and determining an instantaneous volume of the lumen using the first and second admittance values and at least one predetermined calibration parameter.
In another aspect, there is provided a computer readable medium comprising computer executable instructions for performing the method.
In yet another aspect, there is provided a system comprising a processor and a memory, the memory comprising computer executable instructions for performing the method.
Embodiments will now be described by way of example only with reference to the appended drawings wherein:
It will be appreciated that for simplicity and clarity of illustration, where considered appropriate, reference numerals may be repeated among the figures to indicate corresponding or analogous elements. In addition, numerous specific details are set forth in order to provide a thorough understanding of the example embodiments described herein. However, it will be understood by those of ordinary skill in the art that the example embodiments described herein may be practised without these specific details. In other instances, well known methods procedures and components have not been described in detail so as not to obscure the example embodiments described herein. Also, the description is not to be considered as limiting the scope of the example embodiments described herein.
In the following, methods and systems are provided to measure absolute ventricular volume in real time over the course of the cardiac cycle. It will be appreciated that although the following examples are provided in the context of a catheter, the principles discussed herein are equally applicable to other devices that emit and measure electrical signals. For example, the device could comprise more than four electrodes, wherein the electrodes in use are selectable based on the geometry of the lumen being studied. The means to measure and emit electrical signals may also, for example, comprise a catheter having four or more electrodes that have been individually inserted in the lumen and spaced at a known distance.
Referring therefore to
Although the examples herein utilize a tetrapolar catheter, it can be appreciated that other types of catheters may be used.
Referring to
The tetrapolar catheter [10] of
The catheter [10] comprises a first excitation electrode [20] which is placed on the upper portion of the left ventricle [17] proximal to the connecting line [14] and a second excitation electrode [20] placed at the lower portion of the left ventricle [17], at the distal end of the catheter [10]. A first sensing electrode [22] is disposed adjacent to the first excitation electrode [20] and a second sensing electrode is disposed adjacent to the second excitation electrode [20] and both sensing electrodes are located between the pair of excitation electrodes [20].
Due to the placement of the electrodes, the electric field formed by the excitation electrodes [20] extends across the entire left ventricle [17]. As the left ventricle [17] is composed of myocardium tissue [15], which has a different characteristic conductivity than the blood located within the ventricle [17], the electric field sensed at the sensing electrodes [22] will differ depending on the contribution from the myocardium tissue component of the conductance and the blood component of the conductance.
Oxygenated blood from the lungs enters the left atrium [19], where it is delivered through the bicuspid valve [21] into the left ventricle [17]. When the left atrium [19] has dispelled its load of blood, the left ventricle [17] contains its maximal volume of blood. At this stage, the volume of blood in the left ventricle [17] is at its maximum, which is known as the end diastolic volume (EDV). The left ventricle [17] then contracts to force the oxygenated blood through the aorta [11] to be distributed throughout the body. Blood is prevented from flowing from the left ventricle [17] to the left atrium [19] by the bicuspid valve [21]. At the point of the cardiac cycle where the left ventricle [17] has contracted to its smallest volume, it contains only the end-systolic volume (ESV) of blood. The total volume of blood that is pumped for each contraction of the left ventricle [17] is known as the stroke volume (SV). The SV is equivalent to the difference between the end-diastolic volume and end-systolic volume of blood in the left ventricle [17].
As the volume of blood within the left ventricle [17] varies throughout the cardiac cycle, so too does the myocardial contribution to the conductance and the blood contribution to the conductance. At the EDV, the blood contribution to the conductance will be at its greatest and at the ESV, the myocardial contribution to the conductance is at its greatest. For example, in an adult human heart, the EDV value could be, for example, 120 mL and the ESV could be, for example, 50 mL. In this case, the ventricular SV would be 70 mL. Given this, it is particularly important to consider the varying contributions of blood and myocardium in determining the stroke volume of the left ventricle [17].
An enlarged view of the tetrapolar catheter [10] in the left ventricle [17] of
This AC signal provided by the excitation electrodes [22] is not restricted to a given frequency. For example, the AC signal could be varied over the course of measurements from, 2 kHz to 30 kHz. The AC signal could also comprise signal components at several frequencies, for example, components from 2 kHz to 30 kHz at 7 kHz intervals. The sensing electrodes [22] are placed adjacent to, and between, the excitation electrodes [20]. When placed in the heart, the voltage sensed at the sensing electrodes [22] is dependent on the amount of blood surrounding the catheter [10].
The body of the left ventricle [17] can be approximated as a cylinder. Using this approximation, the catheter [10] can be modeled in the left ventricle [17] as a system of concentric cylinders where the inner cylinder represents blood and is characterized by radius r and the outer cylinder represents the myocardial tissue of the heart. In this model, the admittance or conductance of the surrounding medium has a contribution from the blood cylinder and a contribution from the myocardium. The ratio of these contributions is proportional to the ratio of the thickness of each medium. To accurately measure the volume of blood in the left ventricle [17], the volume of the inner cylinder must be determined so as to not include contributions from the myocardium in the result for the volume calculations.
Turning to
Where D and L represent the spacing between the field generating electrodes [20] and the spacing between the field sensing electrodes [22] respectively, as illustrated in
Where σb represents the conductivity of blood, and εb represents the permittivity of blood.
Empirically, Yinf can be determined for a catheter [10] of given dimensions by immersing the catheter [10] in a large volume of fluid with known electrical properties. For example, the catheter [10] could be immersed in a large volume of blood or in a large volume of liquid that has similar electrical properties to blood. Yao in contrast, is impractical to determine directly in an empirical way, as this is a measure of the admittance in a ventricle [17] that is devoid of blood. However, Yao can be written in terms of Yinf by manipulating the equations for these admittance limits. Specifically,
The conductivity and permittivity of myocardium can be readily determined experimentally. Hence, from knowing Yinf and measured values for the conductivity and permittivity of blood and myocardium, Yao can be determined.
This method and system described herein provides an improvement over prior methods in that it does not predict a linear relationship between the admittance of the catheter [10] and the diameter of the inner cylinder, which represents the blood. For example, using the classical Baan's approach to conductance volumetry would yield an infinite admittance when the catheter [10] is placed in an infinitely thick cylinder of blood, a result that is demonstrably false.
Referring to
The combined admittance as a function of time measured using the catheter [10] can be expressed as a sum of the blood contribution to the admittance and the myocardial contribution to the admittance as follows:
Where D and L represent the spacing between the field generating electrodes [20] and the spacing between the field sensing electrodes [22] respectively, as illustrated in
It may be noted that the real component of the admittance versus radius curve (Y(t)) is monotonically increasing between the admittance value of Ya0 and the admittance value of Yinf whereas the imaginary component of the admittance versus radius curve is monotonically decreasing. Since both functions are monotonic, at any radius of the cylinder of blood, there is a single corresponding admittance value. Hence, given accurate calibration factors, the measured admittance can be mapped to determine an absolute volume of blood.
To calculate the blood volume, it is necessary to know the SV, which is a commonly measured value and can be determined via echocardiography, flow meter or other technologies known in the art. Turning to
Through a comparison of the time-dependent admittance data measured from the catheter [10] to the cardiac cycle, the admittance values and the constituent blood and myocardial contributions at specific phases of the cardiac cycle can be determined. In particular, the end systole and end diastole admittance values are determined by locating these points on the blood pressure versus time plot [44]. The leftmost cursor line [40] represents the end of ventricular diastole and the rightmost cursor line [42] represents the end of ventricular systole, both of which can be determined from the blood pressure versus time plot [44]. By comparing the pressure and the admittance over the same temporal frame [44, 46], the measured admittance, which comprises blood and myocardial components, can be determined at these two critical points in the cardiac cycle.
Referring now to
To determine the instantaneous volume of blood in the ventricle [17], the measured admittance is used. The stroke volume is an empirical normalization factor that ensures that the difference in volumes corresponding to the admittance at the end of ventricular systole and the admittance at the end of ventricular diastole is equal to the measured stroke volume.
The actual volume of blood in the left ventricle [17] can then be calculated from the admittance data of
Where Ymeas, is the instantaneous value of admittance as measured with the catheter [10], YED is the admittance value at the end of ventricular diastole, determined from correlating the admittance value to the blood pressure trace over the cardiac cycle and YES is the admittance value at the end of ventricular systole, determined from correlating the admittance value to the blood pressure trace over the cardiac cycle.
Several advantages are inherent in relating the measured admittance values to the volume using the above equation. First, since all measurements for the calibration are taken with the same physical catheter [10] and associated instrumentation, any calibration offsets are removed due to the subtraction of the admittance values from every term. Second, because any scaling factor would be present in both the numerator and the denominator of the aforementioned equation, scaling factors associated with the catheter [10] would cancel and not affect the volume calculation. Third, no phase signal is required to produce absolute volume numbers. Since no phase signal is required, apart from its conductivity and permittivity, there is no need to measure complex electrical muscle properties of the myocardium. This overcomes a key disadvantage in prior methods, wherein determining complex electrical muscle properties is typically both difficult and imprecise. Fourth, the calculations required to determine the volume of blood within the left ventricle [17] are computationally simple. Hence, the processor required to perform these calculations can be relatively simple. Fifth, there is no need to separate the admittance signal into a myocardial admittance component and a blood admittance component, as the total admittance signal, as shown in
Using the aforementioned equation to determine the volume based on the admittance values, the SV is used to empirically normalize the mapping of admittance to the radius of the model cylinder of blood. Modeling the blood and myocardium structure of the left ventricle [17] is typically not entirely accurate, as the geometry of the ventricle [17] is likely not perfectly cylindrical. In order to model non-cylindrical geometries, a unit-less scale factor that maps the ideal cylindrical volume onto a non-cylindrical ventricular volume (β) is used. Incorporating β, the true stroke volume can be written as:
SV=β(VED−VES).
Since the volume of a cylinder can be expressed as a function of the admittance and the value of the admittance at the end of ventricular systole and the end of ventricular diastole are known, both the ESV and EDV can be calculated. Hence, both a calculated value for the stroke volume and well as a measured value for the stroke volume can be determined as previously described.
Using the unit-less β scale factor, the volume of the left ventricle [17] can be determined accurately for the entire cardiac cycle. Referring to
Referring to
As an alternative to processing the admittance data to determine the absolute volume within the physical lumen in real time is to store the admittance data and pressure data in memory present in the implanted or externally fixed control module [16] or blood pressure module [80] for future calculation. An example diagram of such a system is shown in
It will be appreciated that any application or module exemplified herein may include or otherwise have access to computer readable media such as storage media, computer storage media, or data storage devices (removable and/or non-removable) such as, for example, magnetic disks, optical disks, or tape. Computer storage media may include volatile and non-volatile, removable and non-removable media implemented in any method or technology for storage of information, such as computer readable instructions, data structures, program modules, or other data, except transitory propagating signals per se. Examples of computer storage media include RAM, ROM, EEPROM, flash memory or other memory technology, CD-ROM, digital versatile disks (DVD) or other optical storage, magnetic cassettes, magnetic tape, magnetic disk storage or other magnetic storage devices, or any other medium which can be used to store the desired information and which can be accessed by an application, module, or both. Any such computer storage media may be part of the volume processing module [62], control module [16], blood pressure module [80] or any other device, accessible or connectable thereto. Any application or module herein described may be implemented using computer readable/executable instructions that may be stored or otherwise held by such computer readable media.
Although the above has been described with reference to certain specific example embodiments, various modifications thereof will be apparent to those skilled in the art without departing from the scope of the claims appended hereto.
This application claims priority from U.S. Provisional Application No. 61/480,828 filed on Apr. 29, 2011, the contents of which are incorporated herein by reference.
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/CA12/50270 | 4/30/2012 | WO | 00 | 10/28/2013 |
Number | Date | Country | |
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61480828 | Apr 2011 | US |