Power Spectrum Analysis of Heart Arte Variability Full Term and Preterm Yang
Introduction
Heart rate variability (HRV) refers to the continuous fluctuations of RR intervals (RRI) around its mean because of autonomic nervous modulation. Power spectral analysis of heart charge per unit (HR) fluctuations provides a noninvasive and quantitative means to assess the sympathetic and vagal modulations of HR.1,2 HRV assay has been used in the assessment of autonomic dysfunction caused by many kinds of major clinical diseases including acute myocardial infarction (AMI), astute coronary syndrome, postmyocardial infarction status, orthotopic centre transplantation, etc.
Wolf et aliii were the first to describe the clan between HRV reduction and increased postinfarction bloodshed in 1978. By analyzing the one-infinitesimal echocardiogram (ECG) recording obtained in patients with AMI immediately upon admission to coronary unit, they constitute that patients with more pronounced sinus arrhythmia had a lower mortality rate than patients with less pronounced variability of sinus impulses.3 Afterward on, it was found that AMI is almost inevitably associated with considerable reduction in HRV,iv and that the HRV was significantly lower in patients with myocardial infarction fifty-fifty a twelvemonth after the astute coronary event as compared to healthy age-matched subjects.5 It was also found that HRV measures were improved in patients with amend ejection fraction and greater angiographic patency after thrombolysis, suggesting that early HRV assessment afterward myocardial infarction may be useful in noninvasive take a chance stratification.half dozen Though decreased HRV can independently predict poor prognosis afterward myocardial infarction, the cut-off points that should be used in clinical practice are nevertheless a affair for further investigation.seven Measurement of HR turbulence upon arrival at the emergency department may provide boosted incremental value in the risk assessment for patients with non-ST elevation myocardial infarction or unstable angina.eight Aberrant HRV tin predict both sudden and nonsudden cardiac death after AMI.9
It has been shown that the power spectral density (PSD) of HRV contains a power-law relation that can be obtained by plotting the logarithm of PSD against the logarithm of frequency.10–21 It was further shown that the PSD of HRV can be decomposed mathematically into a power-police force function representing the power-law relation part of HRV, and a residuum HRV spectrum representing the remainder HRV (rHRV).22 The balance part can give rise to a greatly enhanced loftier-frequency (HF) component also as a greatly suppressed low-frequency (LF) and very low-frequency (VLF) components of HRV.22
This written report investigated whether the rHRV measures can meliorate differentiate the patients with AMI from those with patent coronary artery (PCA) than traditional HRV measures.
Materials and methods
Report subjects
This study reanalyzed the RRI data obtained in our previous work23 by using the new method,22 and compared the newly derived rHRV measures with the traditional HRV measures in the study and control groups, and compared the rHRV measures between both groups of patients. Forty-8 patients with PCA and 69 patients with AMI were included in this study. The full general data and clinical characteristics are listed in our previous publication.23
Patients admitted to the intensive intendance unit with documented AMI, and sequent patients with PCA were studied. PCA was defined every bit without stenosis or with luminal narrowing <30%. Patients with diabetes mellitus, atrial fibrillation, circumstantial valvular heart diseases, cardiac conduction abnormalities, and liver and/or kidney disease were excluded. Patients who had atrial fibrillation or those using class I antiarrhythmic medication were excluded from this study. All experimental protocols were approved by the Institutional Review Lath Commission B of Changhua Christian Infirmary, Taiwan (CCH IRB No 170809), which agreed for a waiver of documentation of informed consent of this study. All research was performed in accordance with relevant guidelines/regulations.
This written report reanalyzed the RRI information obtained in our previous work23 published in 2003 past using the new method published in 2016,22 and compared the newly derived rHRV measures with traditional HRV measures in patients with PCA and AMI, and compared the rHRV measures betwixt PCA and AMI patients. Since the ECG signals and relevant clinical data were obtained more than 15 years ago and have been delinked with the patients, it is very difficult to obtain informed consent or consent to review their medical records from the patients themselves or their adjacent of kin. So, the Institutional Review Board Committee B of Changhua Christian Infirmary, Taiwan, gave us a waiver of documentation of informed consent for this study. The patient data confidentiality was ensured because the ECG signals and the clinical information were already delinked with the patients.
HRV analysis
The power spectra of the 512 RRI were obtained by means of fast Fourier transformation. The area under the curve (AUC) of the spectral peaks within the frequency range of 0.01–0.four, 0.01–0.04, 0.04–0.15, and 0.15–0.40 Hz were divers every bit the full ability (TP), very low-frequency power (VLFP), low-frequency power (LFP), and high-frequency power (HFP), respectively. The normalized VLFP (nVLFP = VLFP/TP) was used as the alphabetize of vagal withdrawal, rennin–angiotensin modulation, and thermoregulation,24–26 the normalized LFP (nLFP = LFP/TP) as the index of combined sympathetic and vagal modulation,27 the normalized HFP (nHFP = HFP/TP) as the alphabetize of vagal modulation, and the low-/high-frequency ability ratio (LHR = LFP/HFP) as the index of sympathovagal rest.28
Power-law function and residual HRV
The power spectrum of HRV was decomposed into a ability-police part and a residual part of HRV,22
| | (1) |
where the PSD is the traditional ability spectral density, Frg is the part of linear regression between log(PSD) and log(Frq), the subscript "rg" stands for "regression," the "r" denotes "residual", rPSD is the residual PSD, and the "s" and "Y" are the slope and Y-intercept of linear regression between log(PSD) and log(Frq) within the frequency range from 0+ Hz to the Nyquist frequency, respectively.
Similar to the definition of traditional HRV measures, the AUC of the spectral peaks within the range of 0.01–0.4, 0.01–0.04, 0.04–0.fifteen, and 0.15–0.forty Hz in the rPSD were divers as the remainder full power (rTP), residual very depression-frequency power (rVLFP), residual low-frequency power (rLFP), and residual loftier-frequency power (rHFP), respectively. The normalized rVLFP (nrVLFP = rVLFP/rTP), normalized rLFP (nrLFP = rLFP/rTP), normalized rHFP (nrHFP = rHFP/rTP), and residual low-/high-frequency power ratio (rLHR = rLFP/rHFP) were defined in similar ways to those of traditional HRV measures.
Statistical analysis
Kruskal–Wallis rank sum test was used to compare the HRV and rHRV measures between PCA and AMI patients. Wilcoxon signed rank exam was employed to compare the traditional HRV measures with the corresponding rHRV measures in both groups of patients. All data are presented every bit median (25%–75%). Receiver operating characteristic (ROC) curves with AUC analysis was conducted to compare the predictive value of HRV and rHRV measures for predicting AMI. The optimal cutpoint for the classification of high-risk patient for each HRV or rHRV mensurate is adamant based on the Youden's index in ROC analysis to produce an analysis with sensitivity, specificity, positive predictive value (PPV), negative predictive value (NPV), and accuracy. A P<0.05 was considered statistically significant.
Results
Effigy ane shows the tachogram, traditional HRV spectrum, log–log plots of traditional HRV spectra, ability-law function of traditional HRV spectra, and the residual HRV spectra of a representative patient with PCA and a representative patient with AMI. The hateful RRI and amplitude of RRI oscillation in the RRI tachogram and the powers in the HRV spectrum of the AMI patient are smaller than those of the PCA patient. The negative linear correlation between log(PSD) and log(Frq) in the HRV spectrum indicates that a power-police relation exists between PSD and Frq in the HRV spectra in both PCA and AMI patients. After removal of the ability-police role, the rHRV spectra have profoundly enhanced HF components and greatly reduced VLF and LF components in both PCA and AMI patients, as compared with the traditional HRV spectra. The VLF and HF components of the HRV spectrum in the AMI patient are smaller than those of the PCA patient.
  | Figure one The tachogram (A and F), traditional HRV spectrum (B and 1000), log–log plots of traditional HRV spectra (C and H), ability-law function inside the traditional HRV spectra (D and I), and the residual HRV spectra (E and J) of a representative patient with PCA and a representative patient with AMI. |
Table 1 compares the HRV and rHRV measures between the PCA and AMI groups of patients. The AMI patients had significantly greater Hour, nVLFP, and nrLFP/nLFP than the PCA patients, and significantly smaller hateful, root mean squared successive deviation, HFP, nHFP, and nrHFP than the PCA patients. Tabular array 1 also compares the rHRV measures with their respective HRV measures in the same group of PCA or AMI patients. The rTP, rVLFP, rLFP, rHFP, nrVLFP, nrLFP, and rLHR were all significantly smaller than their corresponding traditional TP, VLFP, LFP, HFP, nVLFP, nLFP, and LHR, while only the nrHFP was significantly greater than its respective nHFP in both groups of patients. The finding that the nrHFP/nHFP was >1 while the nrVLFP/nVLFP, nrLFP/nLFP, and rLHR/LHR were all smaller than 1 indicated that the removal of the power-law function from the PSD in the HRV spectrum could consequence in an enhanced HF office and suppressed depression- and very low-frequency parts in the rHRV spectrum. The significantly greater nrLFP/nLFP of AMI patients than that of PCA patients indicates that the reduction in the LF components in AMI patients was smaller than that in PCA patients after the removal of the fractal function of HRV spectra.
 | Table 1 Comparing of HRV and rHRV measures between patients with PCA and patients with AMI |
Tabular array 2 shows the HRV and rHRV measures the AUC of which is >0.v in predicting AMI. The Youden's index suggests that the high-risk patients with AMI are those whose TP <95.forty, rTP <0.96, nVLFP >42.xiv, nrVLFP >7.xviii, nHFP <xl.43, and nrHFP <78. Figure two shows the ROC curves comparing the discrimination capability of various cutpoints of HRV and rHRV measures in predicting AMI. The patients with nrHFP <78 take an AUC of 0.627 with an accuracy rate of 64.96% in predicting AMI, while the patients with nHFP <40.43 have an AUC of 0.612 with an accuracy rate of 63.25% in predicting AMI. The nrHFP was better than nHFP in the differentiation between AMI and PCA. The patients with nrVLFP >7.18 and nrHFP <78 had an AUC of 0.665 with an accuracy rate of 64.96% in predicting AMI, while the patients with nVLFP <forty.43 and nHFP >42.14 had an AUC of 0.649 with an accuracy charge per unit of 61.54% in predicting AMI. The combination of nrHFP and nrVLFP had the highest accuracy rate compared with the other rHRV measures in the differentiation between AMI and PCA patients, and was found to be ameliorate than the respective combination of nHFP and nVLFP. Thus, the rHRV measures have better differential capability than the HRV measures in the differentiation between AMI and PCA patients, specially the nrHFP or nrHFP + nrVLFP.
 | Table 2 The HRV and rHRV measures that take Youden's cutpoints with an AUC >0.5 in predicting AMI |
 | Figure two The ROC curves with optimal cutpoints for those HRV and rHRV measures the AUC of which is >0.5 in predicting AMI. |
Discussion
Mathematically, the ability spectrum can exist decomposed into a power-constabulary office and a residual function. The PSD underneath the power-law part in the LF range is higher than that in the HF range. The clinically concerned vagal and sympathetic activity equally shown in the HF, LF, and VLF ranges are ofttimes obscured in the traditional HRV measures. After removal of the power-police role from the PSD, the autonomic nervous activities of the subject could be better reflected by the rHRV measures than by the traditional HRV measures.
The guidelines on HRV state that the regression line should be estimated within the frequency range below 0.04 Hz to exclude interference from the oscillations in the LF and HF bands.two However, the ability-law relation between the PSD and the frequency does non exist below 0.04 Hz just, information technology exists inside the whole frequency range beneath the Nyquist frequency. Therefore, in this report, the whole frequency range was included for regression analysis then that the powers within the whole frequency range could exist analyzed. Considering all powers are included in the linear regression analysis, the slope and intercept of the linear regression line depend on every individual power in the HRV spectrum. If the harmonic oscillations of various physiological systems above 0.04 Hz are removed before the application of linear regression analysis, then the decomposition of the PSD into a ability-law function and a residual PSD will be inapplicable because the ability-law function in that case will be valid simply below the frequency of 0.04 Hz while the HRV spectrum is valid within the whole frequency range beneath the Nyquist frequency. Thus, the linear regression analysis between log(PSD) and log(Frq) was performed within the whole frequency range below the Nyquist frequency in this study.
In this study the HFP was normalized by the true TP rather than by TP–VLFP as suggested in the guidelines on HRV.2 If the HRV or rHRV measures used in the assay contained only HF and LF parts, it may be acceptable to normalize the HFP and LFP by TP–VLFP. If, nonetheless, the VLF parts and even ultralow-frequency parts are used in the assay, normalization past the truthful TP is needed. Furthermore, if the powers in the whole range of frequency from 0+ to the Nyquist frequency were included in the regression analysis, it may not be logical to normalize the individual powers by using TP–VLF, equally suggested by the guidelines on HRV.
It has been reported that the HRV measures are decreased in survivors of cardiac arrest.29 Some studies found that the SD of normal-to-normal QRS intervals is a significant parameter for long-term prognosis in patients with AMI.30,31 In the frequency domain, information technology has been found that the nHFP was the lowest in patients with AMI, followed in increasing order by patients with coronary avenue illness and patients with PCA in iii recumbent positions; whereas the nLFP and LHR were the largest in patients with AMI, followed in decreasing order by patients with coronary artery disease and patients with PCA in three recumbent positions.32 In this study, nosotros plant similarly that that the AMI patients had significantly greater HR and nVLFP than the PCA patients, and significantly smaller mean, root mean squared successive difference, HFP, nHFP, and nrHFP than the PCA patients. Our findings are compatible with previous reports that the patients with AMI have overactive sympathetic modulation and suppressed vagal modulation.33–36
HRV is a powerful predictor of arrhythmia-associated complications in patients surviving AMI.37,38 The predictive value of depressed HRV subsequently AMI is independent of other take a chance factors, such every bit left ventricular ejection fraction, frequency of ventricular premature complexes on the 24-hour Holter recording,37 and the presence of late potentials on signal-averaged ECGs.39 In previous studies, the Hr assessed from standard short-term ECGs has been shown to predict bloodshed in postmyocardial infarction patients.40–42 In accordance with those studies, we found that the AMI patients had significantly greater Hour and nVLFP, and significantly smaller hateful, root mean squared successive difference, HFP, nHFP, and nrHFP than the PCA patients. In the ROC analysis, we found that the nrHFP or nrHFP + nrVLFP had better differential capability than the corresponding HRV measures for the differentiation between AMI and PCA patients. Our findings suggested that the rHRV measures can be used in the clinical diagnosis and monitoring of AMI in the time to come.
Though PCA patients were found to have patent coronary arteries past using coronary angiography, they were non truly healthy people because they had cardiac symptoms and were willing to receive invasive coronary angiography exam. This may explicate why the rHRV measures can requite only slightly better discrimination adequacy between PCA and AMI patients than traditional HRV measures. If truly normal subjects were used as the control subjects, the rHRV measures might have better discrimination capability than traditional HRV measures in the differentiation betwixt AMI patients and truly normal subjects.
The main purpose of this study was to investigate whether the isolation of the rHRV spectrum from traditional HRV spectrum could give rise to meliorate parameters that can identify high-adventure patients with AMI. Though the discrimination capability of the rHRV measures is not tremendously greater than that of traditional HRV measures, some improvements were observed. This small improvement in the discrimination between PCA and AMI suggests that with more refinements in the technique of decomposition, nosotros may be able to obtain meliorate rHRV measures to identify loftier-take a chance AMI patients.
The use of 24-hour ECG recordings in spectral HRV analysis has its advantage over using 10-minute ECG recordings; however, it as well has some disadvantages. Starting time, the physician caring for the patient with cardiac symptoms, the patient, and his/her family cannot wait for 24 hours to obtain the HRV data for diagnosis. Second, interferences from diurnal changes, therapeutic activities of medical personnel, and body motions of the patient volition be recorded in the ECG tracing such that a lot of artifacts and interferences will exist present in the HRV spectrum. The HRV and rHRV measures obtained from 24-hour ECG recordings may not reflect the true cardiac autonomic activities of the patient. Therefore, the reliability of HRV measures obtained from x-infinitesimal ECG recording may not exist less than that obtained from 24-hr ECG recording.
Though about of the bibliography cited, as well as the HRV guidelines, recommended the use of frequency range from 10−2 to 10−4 Hz, some studies used the frequency ranges from 10−iii to 1 Hz,13 ten−2 to 0.7 Hz,xix and 10−4 to one Hz.xx The purpose of decomposing the power spectrum of HRV into a ability-law role of frequency and a residual power spectrum is to examine more closely the HR oscillations in the VLF, LF, and HF regions, because the VLF, LF, and HF regions are associated with autonomic modulation of the patients and are the parts most concerned in many clinical settings. If we attach to the guidelines on HRV to clarify the PSD within the frequency range from ten−4 to 10−2 Hz, then the Hr oscillations in the VLF, LF, and HF regions cannot exist analyzed by using the decomposition technique. Furthermore, in Figure 1C and H, we tin run into that a negative linear correlation between log(PSD) and log(Frq) exists within the whole frequency range. There is no reason to practise linear regression analysis between log(PSD) and log(Frq) inside the frequency range from ten−iv to 10−ii Hz just. Thus, linear regression analysis between log(PSD) and log(Frq) inside the whole frequency range from 0+ to the Nyquist frequency was performed in this study.
One limitation of this study was that the human relationship betwixt rHRV measures and ventricular arrhythmia risk in AMI patients was not assessed, including late potentials on indicate-averaged ECG and ECG markers of sudden cardiac death (QT interval, Tsummit–Tstop interval, QRS duration, and fragmented QRS, ST segment changes).43 Further studies are needed to delineate the relationship betwixt rHRV measures and the abovementioned ECG chance factors in AMI patients.
Conclusion
The HF part of the rHRV spectrum is augmented while the VLF and LF parts of the rHRV spectrum are suppressed compared to traditional HRV spectrum. The combination of nrHFP <78 nu and nrVLFP >vii.18 nu can slightly better differentiate AMI patients from PCA patients than the combination of respective traditional HRV measures.
Acknowledgment
This written report was supported by a grant (V98C1-008) from the Taipei Veterans General Infirmary, and a grant (NSC100-2314-B-075-026) from the Ministry of Science and Engineering, Taiwan.
Disclosure
The authors report no conflicts of interest in this work.
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