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Am J Physiol Heart Circ Physiol 295: H2560 –H2572, 2008. First published October 10, 2008; doi:10.1152/ajpheart.00574.2008. Innovative Methodology Hemodynamic sensing using subcutaneous photoplethysmography Robert G. Turcott and Todd J. Pavek St. Jude Medical, Sylmar, California Submitted 30 May 2008; accepted in final form 29 September 2008 THE USE OF CHRONICALLY IMPLANTED, microprocessor-based cardiovascular devices has accelerated in recent years due to expanding indications of conventional therapies, such as those provided by automatic defibrillators (18), as well as the development of new therapeutic and diagnostic technologies that have broadened the range of clinical application. Examples of the latter include biventricular pacing (8, 20, 36), hemodynamic monitoring (2, 38), and electrocardiographic monitoring using implantable loop recorders (7). The increasing role of implantable devices and a desire for improved device performance are driving a need for increasingly sophisticated physiological sensing. The ideal sensor would enable a number of distinct applications including disease monitoring and optimization of device function and delivered therapy. It would have minimal impact on the longevity and volume of the device and would be integrated into the device itself, rather than requiring intravascular placement, which increases the cost and risk of complications. Photoplethysmography (PPG) uses light to noninvasively detect changes in microvascular blood volume (12). It is an attractive sensing technology for use in implanted devices because it functions from a location outside the bloodstream, can be implemented in embodiments that consume little power and volume, requires no moving parts, and has the potential to support a variety of diagnostic and therapeutic applications. PPG has been applied to a number of clinical problems, including noninvasive monitoring of arterial oxygenation as the enabling technology of the pulse oximeter (30, 37, 40), beat-to-beat blood pressure measurement (5, 28, 41, 42), atrioventricular (AV) pacing delay optimization (9, 14, 15, 27), and blood flow monitoring after free tissue transfer (26). The mechanism of PPG and its clinical applications have recently been extensively reviewed (3, 22, 39). Despite its long history, PPG has not previously been used in a subcutaneous location. Many hemodynamic monitoring goals could be realized with the knowledge of acute changes in arterial blood pressure. While it is not presently feasible for chronically implanted devices to acquire this information, the ability of PPG to detect acute changes in blood volume raises the possibility that it serves as a surrogate of pressure in hemodynamic sensing applications. In general, the relationship between vascular pressure and volume is nonlinear (19) and is complicated by time-dependent changes in vasomotor tone (32). As described in the APPENDIX, however, there is a mathematical basis for the hypothesis that for small changes in pressure, changes in the PPG waveform are directly proportional to changes in mean arterial pressure (MAP) over short timescales. Two particular applications of hemodynamic sensing in pacemakers and implantable defibrillators are pacing interval optimization, in which AV and interventricular pacing intervals are tailored to optimize cardiac function, and targeted antiarrhythmia therapy, in which the aggressiveness of the therapy is determined by the hemodynamic consequences of the arrhythmia. A subcutaneous PPG sensor was developed to test these brady- and tachycardia hemodynamic sensing applications as well as the linearity of induced changes in MAP and peripheral vascular volume. Aortic pressure (AoP) and subcutaneous PPG signals were simultaneously recorded during brief episodes of rapid pacing in healthy dogs to simulate tachyarrhythmias and during AV delay (AVD) changes in dogs with induced heart block. Optimum AVDs were estimated from the changes in pressure and PPG waveforms and tested for concordance. In summary, the hypotheses of the study are as follows: 1) a subcutaneous PPG sensor operating in a backscatter configuration can detect changes in vascular volume; 2) rapid pacing and changes in AVD induce transient changes in both arterial pressure and PPG waveforms; 3) transient changes in MAP and PPG are directly proportional; and 4) optimum AVDs estimated from transient changes in MAP and PPG are concordant. Address for reprint requests and other correspondence: R. Turcott, Stanford Univ. Medical Center, Division of Cardiovascular Medicine, Falk CVRC; MC 5406, Stanford, CA 94305-5406 (e-mail: [email protected]). The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked “advertisement” in accordance with 18 U.S.C. Section 1734 solely to indicate this fact. defibrillator; pacemaker; sensor; atrioventricular delay; arrhythmia H2560 0363-6135/08 $8.00 Copyright © 2008 the American Physiological Society http://www.ajpheart.org Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 Turcott RG, Pavek TJ. Hemodynamic sensing using subcutaneous photoplethysmography. Am J Physiol Heart Circ Physiol 295: H2560 –H2572, 2008. First published October 10, 2008; doi:10.1152/ajpheart.00574.2008.—Pacemakers and implantable defibrillators presently operate without access to hemodynamic information. If available, such data would allow tailoring of delivered therapy according to perfusion status, optimization of device function, and enhancement of disease monitoring and management. A candidate method for hemodynamic sensing in these devices is photoplethysmography (PPG), which uses light to noninvasively detect changes in blood volume. The present study tested the hypotheses that PPG can function in a subcutaneous location, that the acute changes in blood volume it detects are directly proportional to changes in arterial pressure, and that optimum pacing intervals identified by it are concordant with those determined by arterial pressure. Aortic pressure and PPG were simultaneously recorded in 10 dogs under general anesthesia during changes in atrioventricular (AV) delay and bursts of rapid pacing to simulate tachyarrhythmias. Direct proportionality between transient changes in pressure and PPG waveforms was tested using regression analysis. Scatter plots had a linear appearance, with correlation coefficients of 0.95 (SD 0.03) and 0.72 (SD 0.24) for rapid-pacing and AV delay protocols, respectively. The data were well described by a directly proportional relationship. Optimum AV delays estimated from the induced changes in aortic pressure and PPG waveforms were concordant. This preliminary canine study demonstrates that PPG can function subcutaneously and that it may serve as a surrogate for acute changes in arterial pressure. Innovative Methodology HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY MATERIALS AND METHODS Fig. 1. Subcutaneous photoplethysmography (PPG) sensor. A: photograph showing arrangement of light-emitting diodes (LEDs) and photodiode. B: functional block diagram. LED control allows continuous or pulsatile illumination of one or both LEDs. The transimpedance amplifier has 4 selectable gain settings. See text for details. IR, infrared. AJP-Heart Circ Physiol • VOL ablation, continuous atrial-triggered right ventricular (RV) pacing was provided. Instrumentation and data acquisition. Arterial pressure was recorded using a high-fidelity micromanometer-tipped pressure catheter (4F, SPC-340; Millar Instruments, TX) placed in the ascending aorta via a femoral arteriotomy. Active fixation pacemaker leads (model 1388, 1488; St. Jude Medical) were placed in the right atrial (RA) appendage and the RV apex via jugular venotomy. The PPG sensor was placed in a subcutaneous pocket in a relatively flat portion of the neck. This anatomic location, selected for mechanical stability in the acute preparation, is in contrast to the infraclavicular fossa typically used in patients receiving pacemakers or implantable defibrillators. Optical components were oriented in the direction (superficial or deep) that gave the strongest signal. When no direction yielded a clearly superior signal, the optics were oriented in the deep direction. Surface ECG, AoP, RA intracardiac electrogram, and PPG signals were continuously logged using a 12- or 16-bit analog-to-digital data acquisition card and custom software written in a C programming environment (DAQCard-1200 or DAQCard-6036E, and LabWindows; National Instruments, Austin, TX). The sampling rate was 100 Hz (1 animal) or 500 Hz (9 animals). Rapid pacing protocol. In five dogs with intact conduction systems, tachyarrhythmias were simulated using rapid pacing delivered for 10 –15 s to the RA or RV (3 dogs), or the RV alone (2 dogs), alternating with 20-s recovery periods of intrinsic rhythm in which pacing was withheld. Pacing was provided by a custom system operating under computer control via a data acquisition/counter-timer card and real-time software written in a C programming environment (DAQCard-1200, LabWindows). Each recording comprised ⬃860 s of data, formed by six repetitions of four rapid pacing cycle lengths (250, 293, 353, and 444 ms) delivered in random order. Postacquisition data processing and analysis were performed using software developed in Matlab (MathWorks, Natick, MA). The average values of the AoP and PPG waveforms were calculated over one respiratory period immediately preceding the onset of rapid pacing and over one respiratory period beginning 5 s after the onset of rapid pacing. The changes in AoP (⌬P) and PPG (⌬v) were determined from these values. As a control, identical calculations were performed using data obtained during baseline periods of intrinsic rhythm. Data were excluded if the PPG offset was unstable, e.g., from hemorrhage into the pocket or motion artifact. AVD pacing protocol. RV pacing was triggered by RA-sensed events using the pacing circuit described in Rapid pacing protocol. During data collection, baseline pacing periods with an AVD of 90 or 180 ms were delivered for 20 s, alternating with test AVD periods of 5 s, allowing measurement of the acute change (4, 33). A single recording, representing ⬃400 s of continuously logged data, consisted of three repetitions of five unique test AVDs (30, 60, 90, 120, and 150 ms) delivered in a random order. Pacing at baseline AVD was delivered continuously between data acquisitions. AoP and PPG signals were digitally band-pass filtered using a 30-s finite impulse-response filter with cutoff frequencies of 0.1 and 1.0 Hz, which allows changes in MAP that evolve over seconds to pass but blocks lower and higher frequencies, including cardiac pulsations. After we corrected for the time-lag imposed by digital filtering, changes in AoP (⌬P) and PPG (⌬v) were calculated as the differences in the signal averages obtained over one respiratory cycle immediately preceding and immediately after the AVD change. As a control, ⌬P and ⌬v were also calculated using data obtained during periods of baseline pacing in which the AVD was held constant. Data were excluded from analysis if PVCs or PACs occurred within 10 s before the AVD change, within one respiratory cycle after the change, or if the PPG offset was unstable. The transient changes induced in AoP (⌬P) and PPG (⌬v) by changes in AVD were plotted against the corresponding AVD for each data set. Third-degree polynomials were fit to the data, with the 295 • DECEMBER 2008 • www.ajpheart.org Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 PPG sensor. A custom PPG sensor was developed for subcutaneous placement. The sensor, shown in Fig. 1, contains red and infrared (IR) light emitting diodes (LEDs; measured wavelengths 653 and 941 nm, respectively), a photodiode for detection of backscattered light, and associated circuitry for LED current control, signal conditioning, and gain control. The electrical components were encapsulated in epoxy, and the junction between the silicone-jacketed cable and epoxy was sealed with medical adhesive. The LEDs were surrounded by titanium cylinders that extend from circuit board to the surface of the epoxy to prevent direct transmission of light between LED and photodiode and to maximize the amount of optical power delivered to the overlying tissue. The photodiode was placed adjacent to the LEDs and oriented to receive the backscattered light, similar to the arrangement used for fetal and esophageal pulse oximetry (13, 23). The photodiode was configured in photovoltaic mode and feeds a transimpedance amplifier that provides conversion of photodiode current to voltage with a low-pass cutoff frequency of 60 kHz. The data presented here were acquired with the IR LED driven continuously at 20 mA and a gain of 0.25 V/A. Subjects and surgical preparation. Data were acquired from 10 mongrel canines in accordance with the Animal Welfare Act, with protocols approved by the Institutional Animal Care and Use Committee of St. Jude Medical. Dogs of either sex (20 –30 kg) were fasted overnight. They were sedated with acepromazine (15 mg sc) and induced with thiopental sodium (15–22 mg/kg iv). Isoflurane (0.8 – 2.5%) was used for maintenance with positive pressure ventilation (tidal volume 10 –15 ml/kg, 100% oxygen). AV node/His ablation was performed using a radio frequency ablation catheter (7F VascoFlector, VascoLator; VascoMed, Germany) in five animals to achieve complete heart block and allow pacemaker control of the AVD. After H2561 Innovative Methodology H2562 HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY a direct proportionality, then while ˆ e2 will by definition be greater than ˆ e1, it should be similar in magnitude. We specifically require ˆ e2/ˆ e1 ⱕ 2 to conclude that the data are compatible with a directly proportional relationship. To summarize, to conclude that a data set is consistent with a directly proportional relationship between ⌬v and ⌬P, we require the following: 1) the qualitative appearance of scatter and residuals plots is consistent with a linear relationship; 2) the lower bound of the 95% CI of r is ⱖ0.7; and 3) residuals of the two predictive models are similar in magnitude, i.e., ˆ e2/ˆ e1 ⱕ 2. Signal amplitudes. The pacing-induced changes in the AoP and PPG waveforms were compared with the amplitudes of other signal components. The mean pressure, PPG offset, and peak-to-peak amplitudes of respiration and pulse were measured directly from the unprocessed recordings using all data sets, and the amplitudes of the changes induced by rapid pacing and AVD change were characterized by the estimated SDs ˆ ⌬P and ˆ ⌬v of ⌬P and ⌬v associated with the pacing maneuver over individual data sets. The averages and SDs of these measures were then calculated across all data sets. RESULTS Rapid pacing protocol. The rapid pacing protocol was conducted in five animals. An example of signals recorded during an episode of rapid RV pacing using cycle length 250 ms is presented in Fig. 2. As seen in the middle trace, a rapid drop in arterial average and pulse pressures occurs with the onset of pacing. A corresponding reduction in average and pulse peripheral blood volume is seen in the PPG waveform presented Fig. 2. Effects of rapid right ventricular (RV) pacing (cycle length 250 ms) on aortic pressure (AoP) and PPG waveforms. The onset of rapid pacing induces a sudden drop in both average and pulse pressures (middle trace), which are reflected in the PPG signal (bottom trace). Horizontal lines in the AoP and PPG waveforms indicate the regions over which the average values were calculated, and their vertical offsets correspond to the calculated average. The resulting change was ⌬P ⫽ ⫺10.8 mmHg for pressure and ⌬v ⫽ ⫺4.7 mV for PPG. AJP-Heart Circ Physiol • VOL 295 • DECEMBER 2008 • www.ajpheart.org Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 locations of the maxima of the polynomials taken as the estimated optimum AVD. Optima derived from PPG and AoP were compared. Statistical analysis. Our hypothesis is that transient changes in AoP and PPG waveforms are not just linearly related but in fact are directly proportional. This was tested using regression analysis, with ⌬P treated as the response variable and ⌬v as the predictor variable. The best fitting (least-squares sense) parameters of two linear models were obtained for each data set. In one model, two unconstrained parameters were used, yielding the line of best fit f1(⌬v) ⫽ m̂1⌬v ⫹ b̂; in the other model the intercept b̂ was fixed at zero, and the best-fitting direct proportionality f2(⌬v) ⬅ m̂2⌬v was obtained. These linear relationships were included on scatter plots of ⌬P vs. ⌬v, which were qualitatively inspected along with residual plot e1 ⫽ ⌬P ⫺ f1(⌬v). Each data set was dichotomized according to the appearance of these plots. A set was deemed to be qualitatively linear if the scatter plot unambiguously suggested a linear relationship and, allowing for statistical fluctuation, no significant trend in data points away from the line of best fit or in residuals away from e1 ⫽ 0 was apparent. If the plots failed to show an unambiguous dependence of ⌬P on ⌬v, or if the relationship was clearly nonlinear, the data set was deemed to be qualitatively not linear. The estimates of the marginal SDs ˆ ⌬P and ˆ ⌬v were used to characterize the variability of the pacing-induced changes in the signals. Linearity was quantitatively evaluated using the Pearson correlation coefficient r. To conclude that a direct proportionality describes the relationship, we require as a necessary condition that r is large, with a lower confidence bound of its 95% confidence interval (CI) ⱖ0.7. Finally, residual SEs ˆ e1 and ˆ e2 were obtained. These are mathematically equivalent to estimates of the SDs of residuals using f1(⌬v) ⫽ m̂1⌬v ⫹ b̂ and f2(⌬v) ⫽ m̂2⌬v, respectively, as predictive models. If the underlying relationship between the variables is truly Innovative Methodology HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY AJP-Heart Circ Physiol • VOL Fig. 3. Scatter plot showing the relationship between the changes in average AoP ⌬P and PPG ⌬v induced by rapid pacing. A: collection of ⌬P obtained from all pacing episodes of a single recording is plotted against the corresponding values of ⌬v (F), along with the line of best fit (solid line) and best-fitting line of direct proportionality (dotted line). Qualitatively, the data exhibit a strong linear relationship, an observation supported by the large correlation coefficient of r ⫽ 0.97 (95% CI: 0.95– 0.98). No significant trends in the data points away from the line of best fit are apparent. The line of best fit is offset slightly relative to the best-fitting proportionality, but the data are well described by both models. B: plot of residuals. Points are distributed about e1 ⫽ 0 mmHg with no significant trends. the SD of its residuals, was essentially equal to that of the best-fitting line, yielding a ratio of ˆ e2 to ˆ e1 that was ⱕ1.4 in 12 of the 13 data sets and ⬍2.0 in all. All but one recording in the rapid pacing protocol met the three criteria we used to conclude the data are consistent with a directly proportional relationship between ⌬P and ⌬v: scatter and residual plots that are qualitatively linear, lower bound of the 95% CI of r that is ⱖ0.7, and a ratio of residual SEs that is ⱕ2.0. If analysis is limited to 兩⌬P兩 ⱕ 10 mmHg, then all data sets would satisfy the requirements for direct proportionality. 295 • DECEMBER 2008 • www.ajpheart.org Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 in the bottom trace. The vertical offsets of the horizontal lines in the middle and bottom traces indicate the averages of the AoP and PPG waveforms calculated before and after the onset of rapid pacing, and their horizontal placements indicate the time periods over which the averages were obtained. In this example, the change in AoP was ⌬P ⫽ ⫺10.8 mmHg and the change in PPG was ⌬v ⫽ ⫺4.7 mV. Figure 3 presents an example of the scatter and residual plots used to qualitatively examine the relationship between the average changes in AoP and PPG induced by rapid pacing. In Fig. 3A, the collection of ⌬P obtained from all rapid pacing episodes of a single recording (dog 3, set 2) is plotted against the corresponding values of ⌬v. The line of best fit f1(⌬v) ⫽ m̂1⌬v ⫹ b̂ is included in Fig. 3 (solid line), along with the best-fitting direct proportionality f2(⌬v) ⫽ m̂2⌬v (dotted line). The data exhibit a strong linear relationship, with the points tightly clustered about f1 and no significant trend away from it, an observation supported by the appearance of Fig. 3B, in which the residuals are seen to fall in a grossly uniform way about e1 ⫽ 0. The data are described by a large correlation coefficient, r ⫽ 0.97 (95% CI: 0.95– 0.98), and while the best-fitting direct proportionality f2 is clearly displaced relative to the line of best fit f1, the additional residual SE associated with it is on the order of that associated with f1, giving ˆ e2/ˆ e1 ⫽ 1.4. Thus this data set satisfies the three criteria described in MATERIALS AND METHODS that we used to test for a directly proportional relationship between ⌬v and ⌬P. Of note, the two shortest RV cycle lengths resulted in the two tightly clustered groups of three points each at ⌬v ⫽ ⫺15 and ⫺5 mV. The displacement of these clusters away from the other 42 data points resulted in long moment arms and the potential to overestimate r. However, that these points are tightly clustered and fall in line with the axis of the remaining 42 points suggests that they are not outliers artificially raising the value of r. Indeed, when excluded from analysis the correlation remains strong, with r ⫽ 0.91 (95% CI: 0.83– 0.94). Nevertheless, a better estimation of the true value of r would require more complete sampling across the range of ⌬v. The results for the ensemble of data recorded during the rapid pacing protocol are presented in Table 1. The linearity of the scatter and residual plots was qualitatively evaluated according to the criteria described in MATERIALS AND METHODS, with the results shown under the heading “Linear?” in Table 1. All but one of the 13 data sets met our definition of qualitative linearity; the exception exhibited trends in the data points away from the line of best fit at large values of ⌬P, i.e., ⌬P ⬎ 10 mmHg, although it did appear qualitatively linear for ⌬P ⱕ 10 mmHg. The estimated marginal SDs of ˆ ⌬P and ˆ ⌬v, which characterize the magnitude of change induced in the pressure and PPG signals by rapid pacing, averaged 9.2 mmHg and 5.5 mV, respectively. Calculated over all data acquired in the study, the average pressure and the PPG offset were 71.7 mmHg and 3.2 V, respectively, so that the relative change in these signals with the onset of rapid pacing was 12.8% for pressure and 0.17% for PPG. The correlation coefficient r was large over the ensemble of data sets, averaging 0.95. The correlation coefficients of all 13 data sets exceeded 0.9, and all had 95% CIs with lower bounds that were ⱖ0.76. The data were well described by the model of direct proportionality f2. For most data sets, its residual SE, equivalently, H2563 Innovative Methodology H2564 HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY Table 1. Transient pressure and photoplethysmography changes during onset of rapid pacing ˆ ⌬P and ˆ ⌬v Average SD Linear? ˆ ⌬P, mmHg ˆ ⌬v, mV r ˆ e2/ˆ e1 48 48 48 ⫹ ⫹ ⫺ 7.9 8.9 8.4 8.8 7.2 9.2 0.92 0.93 0.90 0.87 0.88 0.82 0.96 0.96 0.94 1.1 1.0 1.0 46 ⫹ 9.8 10.5 0.97 0.95 0.98 1.0 48 48 48 48 ⫹ ⫹ ⫹ ⫹ 6.3 7.0 6.7 7.0 5.7 5.6 5.7 5.7 0.97 0.97 0.98 0.98 0.94 0.95 0.97 0.96 0.98 0.98 0.99 0.99 1.4 1.4 1.3 1.2 26 30 20 ⫹ ⫹ ⫹ 11.1 12.2 12.5 1.9 1.6 1.4 0.93 0.92 0.90 0.84 0.84 0.76 0.97 0.96 0.96 1.8 1.2 1.1 30 30 ⫹ ⫹ 10.5 11.6 3.9 4.7 0.99 0.98 0.97 0.96 0.99 0.99 1.4 1.2 9.2 2.2 5.5 2.9 0.95 0.03 0.90 0.07 0.97 0.02 1.2 0.2 95% CI of r n ⫽ Number of rapid pacing episodes; ⫹(⫺), meets (fails to meet) qualitative criteria for linearity; ˆ ⌬P and ˆ ⌬v, estimated SD of change in pressure and photoplethysmography induced by rapid pacing, respectively; r ⫽ Pearson correlation coefficient; ˆ e1 and ˆ e2, residual SEs using best-fitting regression line and best-fitting direct proportionality, respectively. AVD pacing protocol. The AVD pacing protocol was conducted in five dogs. An example of the waveforms recorded during a single AVD change from 180 to 90 ms is presented in Fig. 4. AoP and PPG waveforms before and after digital band-pass filtering are shown. The horizontal lines in the filtered signals (Fig. 4, bottom traces) indicate the 5-s respiratory periods over which the pre- and post-AVD-change averages were calculated, and their vertical offsets represent the calculated averages. Thus both AoP and PPG, on average, increased after the AVD change shown in Fig. 4 by small but measurable amounts. In this particular example, ⌬P ⫽ 0.83 mmHg and ⌬v ⫽ 0.14 mV. Figure 5 presents a typical example of the scatter and residual plots used to qualitatively examine the relationship between the changes in AoP and PPG induced by all changes in AVD in a single recording (dog 8, set 2). In Fig. 5A, the best-fitting model of a linear transformation, f1(⌬v) ⫽ m̂1⌬v ⫹ b̂, is shown as a solid line, and the best-fitting model of direct proportionality, f2(⌬v) ⫽ m̂2⌬v, is shown as a dotted line. The data exhibit a moderately strong linear relationship with the data points clustered about the line of best fit, although not as tightly as in the plots obtained from rapid pacing data. The ability of the two models f1 and f2 to describe the data presented in Fig. 5A appears to be essentially identical, an impression confirmed by the ratio of their residual SEs, which is unity to three significant figures. As shown in Fig. 5B, to a good approximation the residuals lack significant pattern or trend away from e1 ⫽ 0 mmHg. The qualitative observations of linearity are supported quantitatively by its large correlation coefficient of r ⫽ 0.89 (95% CI: 0.78 – 0.94). This data set thus meets our criteria for concluding that it exhibits a directly proportional relationship between ⌬v and ⌬P. The results for the ensemble of data recorded during the AVD change protocol are presented in Table 2. Twenty-nine of thirty-three data sets were qualitatively linear according to the criteria described in MATERIALS AND METHODS, as noted by “⫹” AJP-Heart Circ Physiol • VOL under the heading “Linear?” in Table 2. The exceptions exhibited large residuals and a near-horizontal line of best fit. None of the data sets had plots that suggested a nonlinear relationship. The estimated marginal SDs ˆ ⌬P and ˆ ⌬v were small, averaging 0.32 mmHg and 71 V, respectively. Given that the average pressure and PPG offset were 71.7 mmHg and 3.2 V, respectively, the relative change in these signals induced by AVD change was quite small, 0.45% for pressure and 0.0022% for PPG. The correlation coefficient r was generally large over the ensemble of data sets, averaging 0.72, with a 95% CI of 0.51– 0.85, on average. Of the 33 data sets, r exceeded 0.6 in 26 and 0.8 in 18. The lower confidence bound of r was ⱖ0.7 in 14 of 33 data sets and exceeded zero in 31. The data were well described by the model of direct proportionality f2. For most data sets, its residual SE, equivalently the SD of its residuals, was essentially equal to that of the best-fitting line; the ratio ˆ e2/ˆ e1 was ⱕ1.31 in all 33 data sets. In summary, 14 of 33 data sets met our strict criteria for a directly proportional relationship between ⌬P and ⌬v; the remaining 19 had a lower confidence bound of r that was less than the required value of 0.7; scatter plots suggest that this was due to the effect of statistical variability, rather than nonlinearity. If we had simply required that the 95% CI of r be positive, then 29 of the 33 data sets could be considered consistent with a direct proportionality. Optimum AVD estimation. An example of the optimum AVDs estimated from AoP and PPG is shown in Fig. 6 using the same data presented in Fig. 5A. The maximum of the best-fitting polynomial occurred at 74 ms for PPG and 68 ms for AoP. Over the ensemble, the optima ranged between 62 and 143 for PPG and 53 and 129 for pressure, with an average difference of 3 ⫾ 13 ms. The PPG- and AoP-derived optima were within 35 ms of one another for all 33 data sets and were within 15 ms for 26 of the 33 data sets. 295 • DECEMBER 2008 • www.ajpheart.org Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 Dog 1 Set 1 Set 2 Set 3 Dog 2 Set 1 Dog 3 Set 1 Set 2 Set 3 Set 4 Dog 4 Set 1 Set 2 Set 3 Dog 5 Set 1 Set 2 n Innovative Methodology HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY H2565 Signal amplitudes. Figure 7 presents estimates of the various components of the AoP and PPG waveforms. Changes in arterial pressure induced by rapid pacing ranged around 10 mmHg, falling between pulse pressure and the variability associated with ventilation. The effect of AVD change on pressure was quite small, on the order of a few tenths of a millimeter of mercury. The PPG waveforms are dominated by a large offset, near 3 V for the gain setting used in the study. All time-varying signal components were much smaller than this. The effects of ventilation, cardiac pulsation, and rapid pacing fell in the single-digit millivolt range (i.e., 10⫺3 to 10⫺2 V), slightly above the 2.44-mV quantization level of a 12-bit A/D converter. The change in detected light induced by changes in AVD was miniscule compared with these other signal components, falling in the tens of microvolt range (i.e., 10⫺5 to 10⫺4 V), below the quantization level of a 16-bit A/D converter (0.153 mV, dotted line at bottom) and almost two orders of magnitude smaller than the effects of ventilation, cardiac pulse, and rapid pacing. DISCUSSION This preliminary proof-of-concept study represents the first use of PPG in a subcutaneous environment and the first demonstration of a directly proportional relationship between acute changes in AoP and AJP-Heart Circ Physiol • VOL PPG waveforms induced by pacing maneuvers. The ability of PPG to function subcutaneously and the existence of a direct proportionality over short timescales suggest that PPG may provide hemodynamic sensing capability to chronically implanted devices by providing a surrogate for arterial pressure. Theory. The correlation between changes in arterial pressure and the PPG waveform observed in this study is consistent with volume-dependent light absorption. Since hemoglobin is strongly absorbing (44), an increase in blood volume increases tissue photon absorption and results in less optical power returning to the detector; conversely, a contraction of blood volume results in an increase in detected optical power. This interpretation of the dependence of detected light intensity on volume change is intuitively appealing and consistent with the observations of this study; however, other possible effects have been suggested in the literature. The distribution of erythrocytes exhibits flow-dependent anisotropy, which may also contribute to the observed modulation of detected light, independent of volume (11, 25). In addition, changes in erythrocyte orientation induced by flow alter both the absorption by the cell and the degree of scattering from its surface and account for the modulation of light absorbed by pulsatile blood flowing through a rigid tube of fixed volume (31). Finally, due to 295 • DECEMBER 2008 • www.ajpheart.org Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 Fig. 4. Effect of atrioventricular delay (AVD) change on AoP and PPG waveforms. The AVD was changed from 180 to 90 ms at the location of the vertical line in the ECG trace (top trace). AoP and PPG waveforms before (second and third traces) and after (bottom two traces) digital band-pass filtering are shown. The horizontal lines in the filtered signals (lower two traces) indicate the 5-s respiratory periods over which the pre- and post-AVD-change averages were calculated, and their vertical offsets are equal to the calculated averages. The changes in pressure and PPG were ⌬P ⫽ 0.83 mmHg and ⌬v ⫽ 0.14 mV, respectively. Innovative Methodology H2566 HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY reflection off its wall, the volume increase of a single macroscopic vessel can result in either an increase or a decrease in the intensity of backscattered light, depending on the spatial relationship of the PPG sensor and the vessel (43). While the present study was not designed to elucidate the mechanism by which the PPG waveform is modulated, we favor a model in which vascular volume plays a dominant role. Not only are the results interpretable purely in terms of a simple volume-dependent model of light-absorption, but the other mechanisms demonstrated in the laboratory are less likely to be relevant in subcutaneous PPG. With respect to the effects of macroscopic vasculature, we found that the PPG AJP-Heart Circ Physiol • VOL 295 • DECEMBER 2008 • www.ajpheart.org Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 Fig. 5. Scatter plot showing the relationship between the changes in average AoP ⌬P and PPG ⌬v induced by all AVD changes of a single recording. A: collection of ⌬P is plotted against the corresponding values of ⌬v (F), along with the line of best fit (solid line) and best-fitting direct proportionality (dotted line). The data exhibit a qualitatively linear relationship. The correlation coefficient is large, 0.89 (95% CI: 0.78 – 0.94), and the line of best fit is essentially identical to the best-fitting direct proportionality. B: plot of residuals. Points are distributed about e1 ⫽ 0 mmHg with no significant trends. sensor did not require proximity to such vessels; indeed, none were apparent in the subcutaneous pocket in the vicinity of the optical components. Rather, the sensor only requires vascularized tissue containing capillary networks and their associated arterioles and venules. Because of their vastly greater number, these have a total cross-sectional area that dwarfs that of macroscopic vessels (6), allowing robust arterial and venous PPG signals to be generated. Furthermore, since the volume of tissue illuminated by the sensor is much larger than the scale of the microcirculation architecture, optical effects not related to volume, e.g., erythrocyte orientation and reflection off moving vessel walls, are likely minimized by spatial averaging. While the raw PPG signal reflects changes in the total blood volume in the region of illuminated tissue, signal processing can extract changes associated with specific components of the vasculature. For example, pulse oximetry operates on the pulse amplitude, which is primarily an arteriolar phenomenon, thereby allowing arterial oxygenation to be estimated. On the other hand, low-pass filtering to eliminate cardiac pulsations preserves the respiratory component, which primarily arises from postcapillary venules due to modulation of venous return. The specific vascular component that is being assessed thus depends on the way the PPG signal is processed. PPG sensor and signal processing. During data acquisition the IR LED was driven with a constant current of 20 mA, which would represent an unacceptably large current drain in a chronically implanted device. However, in a practical embodiment the average current consumption can be made arbitrarily small by driving the LED with sufficiently low duty cycle current pulses. For example, operating the LED using a 1/2,000 duty cycle allows reconstruction of the cardiac pulsations at an average current drain that is on the order of that consumed by a functioning pacemaker. Lower duty cycles are readily achievable with faster electronics. Two signal processing techniques were used to improve the ability to detect small changes in AoP and PPG waveforms. One treated the cardiac pulses as noise and minimized their effect by band-pass filtering. The other technique was to perform a pair-wise comparison of data taken at corresponding points of the respiratory cycle before and after the AVD change or onset of rapid pacing. This is mathematically equivalent to computing the difference of averages calculated over identical phases of the respiratory cycle. Implementing this in a fully automated implantable device would require detection of respiration, which could be accomplished with intrinsic analysis of the PPG waveform, through an auxiliary sensing technique such as thoracic impedance or through detection and analysis of respiratory effects on the intracardiac electrogram. Experimental results. The effects of respiration and cardiac pulsation are clearly present in the subcutaneous PPG waveform. The appearance of systolic pulses demonstrates that the sensor is responding to changes in microvasculature. Furthermore, because the fundamental physiological measurement in pulse oximetry is the PPG pulse amplitude, it suggests that pulse oximetry is possible in a subcutaneous location. Ventilation modulates arterial and venous blood volumes through changes in intrathoracic pressure, which influence preload and afterload on the arterial side and the rate of peripheral blood return on the venous side. While additional work is necessary to definitively identify the origin of the ventilatory component of the PPG signal, the relative ampli- Innovative Methodology H2567 HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY Table 2. Transient pressure and photoplethysmography changes during AV delay change Average SD Linear? ˆ ⌬P, mmHg ˆ ⌬v, uV 33 32 31 31 31 32 32 32 ⫹ ⫹ ⫹ ⫹ ⫹ ⫹ ⫹ ⫹ 0.43 0.56 0.47 0.46 0.21 0.26 0.31 0.31 108 111 70 64 66 115 87 81 0.96 0.95 0.92 0.86 0.81 0.89 0.85 0.85 0.92 0.89 0.84 0.73 0.63 0.78 0.71 0.71 0.98 0.97 0.96 0.93 0.90 0.94 0.92 0.93 1.31 1.12 1.17 1.08 1.02 1.01 1.02 1.00 22 30 30 28 ⫹ ⫹ ⫹ ⫹ 0.41 0.24 0.32 0.24 130 73 92 50 0.93 0.74 0.81 0.85 0.83 0.52 0.63 0.70 0.97 0.87 0.90 0.93 1.17 1.06 1.06 1.00 32 33 32 32 33 33 33 ⫹ ⫹ ⫹ ⫹ ⫹ ⫺ ⫺ 0.47 0.39 0.20 0.18 0.21 0.27 0.08 89 78 55 45 42 32 27 0.93 0.89 0.86 0.70 0.78 0.47 0.05 0.85 0.78 0.73 0.47 0.60 0.16 ⫺0.30 0.96 0.94 0.93 0.85 0.89 0.70 0.39 1.00 1.00 1.02 1.01 1.00 1.00 1.01 24 28 20 29 27 24 27 ⫹ ⫹ ⫹ ⫹ ⫹ ⫹ ⫹ 0.40 0.40 0.18 0.18 0.31 0.42 0.16 53 36 32 42 90 52 64 0.92 0.81 0.71 0.60 0.88 0.53 0.80 0.83 0.63 0.39 0.30 0.75 0.16 0.61 0.97 0.91 0.88 0.79 0.94 0.77 0.91 1.04 1.21 1.00 1.00 1.01 1.03 1.00 32 32 30 32 24 30 28 ⫹ ⫹ ⫹ ⫹ ⫺ ⫹ ⫺ 0.22 0.49 0.46 0.26 0.33 0.39 0.42 80 170 61 48 50 35 124 0.38 0.45 0.60 0.57 0.69 0.64 ⫺0.02 0.04 0.12 0.30 0.28 0.40 0.36 ⫺0.39 0.64 0.69 0.79 0.77 0.86 0.81 0.36 1.09 1.06 1.06 1.00 1.02 1.18 1.03 0.32 0.12 71 33 0.72 0.24 0.51 0.33 0.85 0.15 1.05 0.08 r ˆ e2/ˆ e1 95% CI of r n ⫽ No. of atrioventricular (AV) delay changes per data set; otherwise, same definitions as in Table 1. tudes of cardiac and ventilatory components of the arterial pressure (⬃10⫻) and PPG waveforms (⬃1⫻) shown in Fig. 7 suggest that the modulation of venous blood volume is the dominant factor. In addition, subtle motion of the sensor and surrounding tissue may also contribute, although efforts were made to minimize this effect. The data collected during rapid pacing to simulate tachyarrhythmias strongly support the hypothesis that changes in MAP and peripheral blood volume as measured by PPG are directly proportional: all scatter and residual plots were consistent with a strongly linear relationship with one exception in which linearity was limited to ⌬P mmHg; all had correlation coefficients with 95% CIs above 0.74; and all were well described by a direct proportionality, with ˆ e2/ˆ e1 ⱕ. Data obtained during the AVD change protocol are also consistent with a direct proportionality, though the correlation between pressure and PPG changes was weaker due to the much smaller magnitude of pressure change (⬃30⫻) in the AVD protocol, resulting in a larger relative statistical variability in the data. A direct proportionality between small changes in the pressure and PPG signals is not surprising; indeed, it is a mathematical necessity arising from the fact that variables are related AJP-Heart Circ Physiol • VOL by a smoothly varying function. The proof of this is presented in the APPENDIX. While a direct proportionality is expected for small changes in pressure, the derivation does not predict the limits of the linear range. The 13 data sets obtained during the rapid pacing generally had values of ⌬P that ranged between ⫺20 and 15 mmHg. Only one set exhibited a significant trend away from linearity, which occurred for large values of ⌬P. Based on these results, we expect the direct proportionality to generally hold for ⫺10 ⌬P ⱕ 10 mmHg in this preparation. The demonstration of direct proportionality between transient changes in average peripheral blood volume and mean arterial pressure extends previous work in which changes in peripheral volume pulse amplitude were correlated with aortic pulse pressure (9, 27) and stroke volume (15). The transient response of PPG and AoP to AVD changes showed a dependence on AVD that is similar to that seen with conventional optimization techniques: relatively large increases in pressure and volume occurred at intermediate AVDs near the expected physiological optimum, while progressively smaller increases occurred as the AVD approached extremely long or short values. The estimated optima derived from PPG and AoP were 295 • DECEMBER 2008 • www.ajpheart.org Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 Dog 6 Set 1 Set 2 Set 3 Set 4 Set 5 Set 6 Set 7 Set 8 Dog 7 Set 1 Set 2 Set 3 Set 4 Dog 8 Set 1 Set 2 Set 3 Set 4 Set 5 Set 6 Set 7 Dog 9 Set 1 Set 2 Set 3 Set 4 Set 5 Set 6 Set 7 Dog 10 Set 1 Set 2 Set 3 Set 4 Set 5 Set 6 Set 7 n Innovative Methodology H2568 HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY concordant. Comparison of these techniques with clinically accepted optimization methods awaits further study. Clinical applications. Incorporation of a PPG sensor into the body or header of a pacemaker, implantable cardioverterdefibrillator (ICD), or hemodynamic monitor would avoid the need for special leads and implant procedures that other approaches to hemodynamic sensing require, e.g., intravascular pressure measurement (21). The potential clinical applications of subcutaneous PPG are numerous, and many represent revolutionary changes in diseases management. For example, since acute changes in arterial blood pressure reflect systemic hemodynamics, a PPG sensor incorporated into an ICD may allow therapy to be tailored to the perfusion status of an arrhythmia. In contrast to the present paradigm, in which ICD therapy is based exclusively on the electrical characteristics of the rhythm, this approach would more closely emulate acute arrhythmia management in the inpatient setting, where determination of the perfusion status of the arrhythmia is of paramount importance and dictates the subsequent management of the rhythm (1). In particular, a tachyarrhythmia that results in loss of pulse or a significant reduction in arterial blood pressure is treated aggressively with a high-voltage defibrillation shock, while those that are hemodynamically stable are treated less aggressively with pharmacological interventions or synchronized cardioversion. AJP-Heart Circ Physiol • VOL 295 • DECEMBER 2008 • www.ajpheart.org Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 Fig. 6. Changes in PPG (top) and average AoP (bottom) plotted against the AVD that induced the changes. The distribution of points show a dependence on AVD that is similar to conventional measures used in AVD optimization, with lower values at extremely long and short AVDs, and larger values in the neighborhood of the expected physiological optimum. Solid curves represent the best-fitting third-degree polynomials, with the locations of the maxima serving as the estimated optimum AVD. PPG and AoP yielded similar results, 74 and 68 ms, respectively. While ventricular fibrillation is appropriately diagnosed and treated by ICDs using the electrical activity of the heart, other rhythms, such as conducted atrial fibrillation and ventricular tachycardia, may be hemodynamically stable or unstable even at a moderate heart rate, depending on other factors such as medications, degree of hydration, and underlying cardiac function. Thus even if the electrical rhythm were correctly diagnosed by the ICD, the hemodynamic consequences are in general impossible to infer from electrical activity alone. Realtime hemodynamic sensing would allow optimum therapy to be delivered in these cases. An example of the potential of PPG to provide hemodynamic sensing is illustrated in Fig. 8, which shows simultaneously recorded arterial pressure from an indwelling catheter and noninvasive PPG from a conventional pulse oximeter finger sensor during a variety of ventricular rhythms in a patient undergoing electrophysiology testing. The strong similarity between PPG and pressure waveforms illustrates the ability for PPG to track hemodynamic changes associated with arrhythmias and the potential for it to serve as a surrogate for pressure in arrhythmia management. Optimization of AV and interventricular pacing intervals improves cardiac function acutely (4), and small, randomized trials suggest it imparts a clinical benefit (29, 35). However, optimization is infrequently performed because the present techniques are time consuming, labor intensive, and dependent on skilled operators (16). If successfully validated, an automatic, pacemaker-based approach to optimization using an integrated subcutaneous PPG sensor would avoid the drawbacks of conventional methods. In addition it would allow frequent optimization that could track changes in posture, volume status, autonomic tone, and disease progression. Robust detection of the arterial volume pulse by subcutaneous PPG makes subcutaneous pulse oximetry feasible. The availability of a continuous record of arterial oxygen saturation would be invaluable in a variety of clinical applications, one of the most exciting of which is the monitoring, optimization, and early detection of acute decompensation of chronic diseases, such as heart failure, asthma, and chronic obstructive pulmonary disease. For example, the direct medical costs of heart failure are projected to be $32 billion for 2008, of which 60% will due to hospitalization (34). A modest, early intervention typically restores the compensated state before inpatient care is required, thus avoiding significant costs and patient risk. In addition to disease management, continuous pulse oximetry may allow the diagnosis of previously unrecognized problems, such as sleep apnea, and would facilitate the evaluation of acute illness in a patient with multiple comorbidities, e.g., pneumonia in the setting of chronic lung disease and heart failure. The information provided by pulse oximetry would be complimented by respiration parameters such as respiratory rate, tidal volume, and respiratory effort derived from the venous component of the subcutaneous PPG waveform. Other vital signs, such as temperature and heart rate, would be technically easy to obtain and would provide additional benefit in these applications. Other roles of PPG-enabled hemodynamic sensing include automatic determination of the upper and lower pacing rate in rate-responsive pacemakers, mechanical capture verification, optimization of electrogram gain and sensing parameters, and lead integrity validation. Innovative Methodology HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY H2569 Limitations This preliminary, proof-of-concept animal study was conducted with a small number of healthy dogs. The properties of human subcutaneous and vascular tissue are different from those of the subjects of this study. The encapsulation that forms around chronically implanted medical devices may affect the long-term performance of a subcutaneous PPG sensor and was not tested in the present study. The acute nature of the prepa- Fig. 8. ECG, arterial pressure, and PPG waveforms during clinical electrophysiology testing. The underlying rhythm varies among ventricular tachycardia (VT), sinus rhythm (SR), paced rhythm, and ultimately ventricular fibrillation (VF). The PPG waveform recorded from a pulse oximeter finger sensor closely replicates the features of the arterial pressure recorded from an indwelling radial artery catheter. AJP-Heart Circ Physiol • VOL 295 • DECEMBER 2008 • www.ajpheart.org Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 Fig. 7. AoP (left) and PPG (right) signal amplitudes presented as averages ⫾ 1 SD. Average AoP, PPG offset, and signal components due to ventilation, cardiac pulses, and changes induced by the two pacing maneuvers are shown. Horizontal dotted lines indicate quantization levels of the A/D converters. Signal processing techniques allowed detection of the small signal transients induce by AVD changes, which for pressure was a factor of 10 smaller than the effects of ventilation and for PPG was less than the resolution of the A/D converter and a factor of 100 smaller than the effects of ventilation, cardiac pulse, and rapid pacing. Innovative Methodology H2570 HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY APPENDIX For any two variables related by a smoothly varying function, there exists a range of values for which, to any prespecified degree of accuracy, the changes in dependent and independent variables are directly proportional. The mathematical expression relating the two variables need not be known. This mathematical fact is well appreciated and ubiquitously exploited in engineering and applied physics fields; it forms the basis of engineered systems as diverse as aeronautical control systems and high-end audio components. We review the mathematical proof of this statement after first discussing its content and applicability to the physiological problem under study. That a function is “smoothly varying” means that its derivatives exists at each point. Consider a particular point A on the function and the tangent defined at that point. The degree to which the tangent approximates the function at points different from A is quantified as the difference between the tangent and the function. This difference converges to zero as one approaches A. Hence, for any prespecified error threshold, there is a neighborhood of A for which the difference between the function and tangent is less than the threshold. Thus the dependent and independent variables are, to a good approximation, linearly related within the neighborhood and their changes are consequently directly proportional. We wish to obtain a mathematical expression relating the amount of detected back-scattered light v to arterial blood pressure P. An unknown mathematical model describes the influence of the central arterial blood pressure P on the arteriolar volume V within the AJP-Heart Circ Physiol • VOL peripheral tissue sampled by a subcutaneous PPG sensor. Previously described models (19) do not account for the difference in pressure between the large arteries and the microvasculature nor do they include the effects of time-dependent changes, such as those induced by changes in vasoconstriction and autonomic tone (32). Distinct from this relationship is the dependence of detected back-scattered light v on the local arterial volume V. The Beer-Lambert law, which describes the absorption of light transmitted through a nonscattering medium, does not apply in this setting because the tissue is highly scattering and the detection is of backscattered rather than transmitted light (17, 30). Some controversy surrounds the precise mechanism by which the detected optical power in PPG is modulated. Most authors view it as primarily due to changes in vascular volume (12, 17, 31), while others present evidence implicating erythrocyte orientation (30, 31) or reflection off vessel walls (43). Despite the lack of mathematical expressions relating local arteriolar volume to central arterial pressure and backscattered light to arteriolar volume, and despite the uncertainty surrounding the precise mechanism by which the latter are related, the linear relationship referred to above can be expected to hold. The reason for this is that the requirements of the proof are modest and apply to the problem under study: that a functional dependence exists between the amount of backscattered light and arterial pressure and that it is smoothly varying. We present the proof here. Consider a generic functional dependence g of the backscattered light v on the arterial pressure P, i.e., v共P兲 ⫽ g共P兲. (A1) The Taylor-series expansion (24) allows the backscattered light v(P) at an arbitrary pressure P ⫽ P0 ⫹ ⌬P to be expressed as the sum of backscattered light at a reference pressure P0, a term proportional to the difference in pressure from P0, i.e., ⌬P, and a higher-order remainder term: v共P 0 ⫹ ⌬P兲 ⫽ g共P0兲 ⫹ 冏 g共P兲 P ⌬P ⫹ P⫽P0 冏 2g共P兲 P2 ⌬P2 . P⫽P1 2 (A2) The first term on the right-hand side of the equation is simply v(P0), the amount of backscattered light at reference pressure P0. The second term, proportional to the change ⌬P in pressure from P0, contains the first partial derivative of g with respect to pressure, evaluated at the reference point P0. This factor depends only on the functional relationship between v and P and is constant for a fixed P0. Thus the second term is a constant multiplied by the change in pressure ⌬P. The final term similarly has a constant factor, the second partial derivative of g with respect to pressure evaluated at P1, and a factor of ⌬P2. P1 is a value of pressure lying between P and P0 ⫹ ⌬P, which makes the equality hold. For sufficiently small changes in pressure ⌬P, the dependence of the final term on ⌬P2 forces the term to become negligibly small and the expression reduces to v共P 0 ⫹ ⌬P兲 ⬇ g共P0兲 ⫹ 冏 g共P兲 P ⌬P. (A3) P⫽P0 Since v(P0) ⫽ g(P0), the change in detected light ⌬v can be expressed as ⌬v ⬅ v共P 0 ⫹ ⌬P兲 ⫺ v共P0兲 ⫽ v共P0 ⫹ ⌬P兲 ⫺ g共P0兲 ⬇ 冏 g共P兲 P ⌬P. P⫽P0 (A4) Thus for small changes in pressure ⌬P, the change in backscattered light ⌬v is approximately directly proportional to ⌬P and is given by ⌬v ⬇ The constant of proportionality 295 • DECEMBER 2008 • 冏 g共P兲 P www.ajpheart.org P⫽P0 ⌬P ⫽ m⌬P. (A5) Downloaded from http://ajpheart.physiology.org/ by 10.220.33.3 on June 15, 2017 ration likely resulted in lower quality PPG signals than would be expected in a chronic implant. Specifically, systemic effects such as changes in fluid status, autonomic tone, depth of anesthesia, and hemodynamics likely caused instability in the measured relationship between and ⌬v and ⌬P over long timescales, and local effects, such as blood extravasation, edema, hyperemia, and mechanical motion of the sensor within the pocket likely affected the relationship over both short and long timescales. In a chronic setting, changes in autonomic tone, volume status, and posture may degrade the direct proportionality observed here. A number of cardiovascular conditions may compromise the quality of the PPG signal, such as aortic stenosis, in which the pulse amplitude is diminished, and cardiogenic shock, in which elevated systemic vascular resistance reduces the peripheral blood volume. Like all mechanical sensors, PPG is sensitive to motion artifact, a limitation that may be partially ameliorated by activating the sensor in the absence of motion (e.g., with pacing interval optimization), applying motion-tolerant signal processing techniques (10), or, for critical therapy as in the setting of arrhythmia management, validating the quality of the PPG signal before basing a therapy decision on it. In conclusion, this study is the first demonstration of subcutaneous PPG. Significant changes in both MAP and microvascular volume as measured by a subcutaneously placed PPG sensor were detectable at the onset of tachyarrhythmias simulated by rapid pacing and during the changes in AV delay. Regression analysis indicated that the changes were directly proportional. The changes in PPG and AoP induced by changes in AV delay yielded concordant estimates of optimum pacing intervals. Subject to the limitations discussed above, these preliminary results suggest that subcutaneous PPG may be a useful surrogate for systemic blood pressure in chronically implanted devices such as pacemakers, ICDs, and monitors while avoiding the need for special leads and implant procedures. Innovative Methodology HEMODYNAMIC SENSING USING PHOTOPLETHYSMOGRAPHY m⫽ g共P兲 P 冏 (A6) P0⫽P0 is fixed for a given reference pressure P0, and the approximation improves as ⌬P is made small. The definition of “small” depends on the unknown mathematical expression g, however, the range of ⌬P for which the approximation holds can be determined by empirically testing for linear correlation between ⌬v and ⌬P. In summary, for small changes in arterial pressure ⌬P that occur over timescales that are shorter than those of the compensatory feedback mechanisms, we expect directly proportional changes in the amount of detected light ⌬v independent of the mechanism by which pressure influences arteriolar blood dynamics and independent of the precise mathematical relationship between blood dynamics and backscattered light. We thank Dr. Euan A. Ashley for critical review and suggestions, Barathi Sethuraman for valuable guidance with the statistical analysis, and Tim Fayram and the St. Jude Medical Research Group for numerous insightful discussions. Present addresses: R. G. Turcott, Stanford University School of Medicine, Division of Cardiovascular Medicine, Stanford, CA; T. J. Pavek, Center for Animal Resources and Education, Cornell University, Ithaca, NY. GRANTS This work was supported by St. Jude Medical and conducted at its facilities. 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