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Validity of spectral analysis of evoked potentials in brain research.

The averaged electronencephologram (EEG) response of the brain to an external stimulus (evoked potential, EP) is usually subjected to spectral analysis using the fast Fourier transform (FFT), especially to discover the relation of cognitive ability to so-called brain dynamics. There is indeed a discrepancy between these two systems, because the brain is a highly complex nonlinear system, analyzed by a linear system (FFT). We present in this work some inaccuracies that occurred when EPs are subjected to spectral analysis, using a model signal. First of all, the EP power spectra depended upon the number of samples used for averaging; the input EP (model signal) and the output EP (from the system) seemed to be similar in forms, but they exhibited completely different spectral power curves. It was concluded that the spectral analysis of evoked responses by using FFT (linear system analysis) in relation to brain (highly complex nonlinear system) may mislead neuroscientists.

Brain↗

Assessment of autonomic nervous system function in patients with Behçet' s disease by spectral analysis of heart rate variability.

The purpose of this study was to evaluate the autonomic nervous system (ANS) function in patients with Behçet's disease by using power spectral analysis of heart rate variability (HRV). The study population consisted of 71 patients with Behçet's disease, and 26 normal volunteers. HRV was measured by power spectral analysis in supine and standing position. In supine position, Behçet's patients had increased low frequency component in absolute (LF) and normalized units (LF nU) but had lower values of high frequency component in absolute (HF) and normalized units (HF nU) than the controls (P < 0.05). In standing position, higher values were obtained in LF and LF nU but lower values of HF and HF nU in Behçet's patients than controls (P < 0.05). LF/HF was significantly higher in patients both in supine (2.5 +/- 1.0 vs. 1.2 +/- 0.8, P = 0.001) and standing (21.9 +/- 7 vs. 1.8 +/- 0.3, P < 0.001) positions. Our data suggest that patients with Behçet's disease may have asymptomatic ANS dysfunction, which is in the form of increased sympathetic and decreased parasympathetic modulation, and power spectral analysis of HRV is beneficial in assessing the ANS function.

Adult↗

Assessment of autonomic nervous system function in patients with Behcet' s disease by spectral analysis of heart rate variability.

The purpose of this study was to evaluate the autonomic nervous system (ANS) function in patients with Behcet's disease by using power spectral analysis of heart rate variability (HRV). The study population consisted of 71 patients with Behcet's disease, and 26 normal volunteers. HRV was measured by power spectral analysis in supine and standing position. In supine position, Behcet's patients had increased low frequency component in absolute (LF) and normalized units (LF nU) but had lower values of high frequency component in absolute (HF) and normalized units (HF nU) than the controls (P < 0.05). In standing position, higher values were obtained in LF and LF nU but lower values of HF and HF nU in Behcet's patients than controls (P < 0.05). LF/HF was significantly higher in patients both in supine (2.5 +/- 1.0 vs. 1.2 +/- 0.8, P = 0.001) and standing (21.9 +/- 7 vs. 1.8 +/- 0.3, P < 0.001) positions. Our data suggest that patients with Behcet's disease may have asymptomatic ANS dysfunction, which is in the form of increased sympathetic and decreased parasympathetic modulation, and power spectral analysis of HRV is beneficial in assessing the ANS function.

Journal Article↗

Power spectral analysis of fetal heart rate.

This chapter examines the role of power spectral analysis (PSA) in elucidation of the physiological control mechanisms of fetal heart rate and as a potential indicator of fetal well-being. The importance of fetal heart rate variability (FHRV) as an indicator of fetal oxygenation is discussed, and the limitations in the current methods of measurement of FHRV are highlighted. Evidence is presented for the paramount influence of the autonomic nervous system in the control of heart rate variability. The basic proposition underlying spectral analysis is that the two autonomic branches influence heart rate in a frequency-dependent way, and their differential effects can be determined by PSA which breaks down the heart rate trace into its component frequencies. The application of PSA to heart rate variability data is an established tool in cardiology, and the published literature related to its use in the adult, neonate and fetus is reviewed. The power spectrum is sensitive to the activity state of the fetus, particularly fetal breathing movements, which have a variable effect on short- and long-term FHRV. There are a variety of mathematical approaches to the construction of power spectra, and a particular method of data acquisition and analysis is presented together with some theoretical background. Recent experimental evidence indicates a role for PSA as an indicator of fetal activity state, and the effect of hypoxia on the spectrum of the fetus in labour is discussed. There are some problems with the technique of PSA, particularly in regard to accepted definitions and methods of analysis. It is a powerful non-invasive tool in the elucidation of fetal cardiac control, but its value in the detection of the compromised fetus has yet to be tested in a clinical trial.

Adult↗

Wide-band spectral analysis of blood pressure and RR interval variability in borderline and mild hypertension.

The aim of this study was firstly to investigate whether indices of wide-band spectral analysis in borderline hypertensive (BHT) or mildly hypertensive (HT) subjects differ from those in normotensive (NT) subjects, and secondly to assess the predictive value of these indices for future hypertension. Electrocardiogram and intra-arterial 24 h ambulatory blood pressure (BP) were recorded in 32 NT, 29 BHT and 30 HT middle-aged men. From the recordings, a 16 h period was extracted for wide-band spectral analysis. A single spectrum of BP and RR interval (RRI) variability was computed for each period by the fast Fourier transform method. The slopes of the spectra were assessed on a log-log scale by linear fitting of the spectral values. Power spectral densities were calculated over regions of 0-0.003, 0.003-0.04, 0.04-0.15, 0.15-0.40 and 0-0.4 Hz. No between-group differences were found in the slopes of BP and RRI spectra. The between-group differences in spectral powers for BP variability were almost invariably significant. The spectral powers for RRI variability did not show between-group differences. Five years later, 22 NT, 22 BHT and 18 HT subjects were re-assessed using casual BP measurements. In a logistic regression model for the combined group of NT and BHT subjects who became HT (22 of 44) during the five-year period, none of the parameters of wide-band spectrum predicted the development of hypertension. In conclusion, parameters of wide-band spectral analysis may not be useful in predicting future hypertension in NT and BHT subjects. Because the BP level is a major factor influencing BP variability, the between-group differences in wide-band spectral powers in BP may be due to differences in BP level rather than differences in cardiovascular regulatory mechanisms.

Adult↗

A study on the phase spectral analysis of middle latency response and 40-Hz event-related potential in central nervous system disorders.

The synchrony measure method, or SM method, a phase spectral analysis described by Fridman in 1984 for ABR, was applied to 40-Hz event-related potential (40-Hz ERP), and was found to be a useful method for automatic detection in predicting hearing thresholds across the audiometric frequencies. Although 40-Hz ERP was claimed by Galambos to be the summation of middle latency responses (MLR), its origin is still controversial. Moreover, only a few articles have reported on the clinical use of 40-Hz ERP in patients with neurological disorders. We recorded ABRs, MLRs, and 40-Hz ERPs in 59 patients with central nervous system (CNS) disorders, and analyzed the relationship between central lesions and MLR or 40-Hz ERP using phase spectral analysis. Abnormal findings in 40-Hz ERP were observed in 43 (72.9%) out of 59 cases with CNS disorders, and most of the abnormal cases had disorders involving the midbrain or thalamic lesions, especially on the side contralateral to stimuli. The results suggest that phase spectral analysis of 40-Hz ERP is useful in the detection of CNS disorders.

Acoustic Stimulation↗

Power spectral analysis of heart rate variability during acute hypoxia in fetal lambs.

BACKGROUND: The aim of the current study was to investigate the changes in the power spectral pattern of the heart rate variability of fetal lambs during acute hypoxia and the possible value of power spectral analysis as a quantitative fetal monitoring method. METHODS: Acutely instrumented eight fetal lambs in the third trimester of gestation were subjected to reproducible hypoxia by reducing the maternal placental blood flow with complete obstruction of the maternal abdominal aorta for 60 s. Fetal electrocardiographic data 5 min prior to occlusion, 1 min during occlusion and 1, 5, and 10 min after the removal of occlusion were analyzed using power spectral analysis. Differences among the procedural steps were determined by the Friedman test with multiple comparisons using Duncan's multiple-range test. Wilcoxon's rank sum test was used for the comparison between low-and high-frequency power values at each step. p< 0.05 was considered significant. RESULTS: Low-, high-, total-frequency power and low-to-high frequency ratio all significantly increased with hypoxia compared with the baseline state (p < 0.05). High-frequency power remained higher than low-frequency power during the resting state (baseline state, 5 and 10 min after hypoxia). CONCLUSIONS: Increased low-frequency power and low-to-high frequency ratio during hypoxia reflects increased sympathetic activity compared with the baseline state. Higher high-frequency power during the resting state compared with low-frequency power reflects active respiratory movement of the fetal lambs near term and increased parasympathetic activity. It appeared possible that power spectral analysis could serve as a useful quantitative tool to monitor the autonomic changes in fetal lambs during hypoxia.

Acute Disease↗

Power spectral analysis of systemic arterial pressure signals during open heart surgery.

BACKGROUND: The close relationship between the balance of sympathetic and parasympathetic tones and the results of power spectral analysis (PSA) of systemic arterial pressure (SAP) has been suggested recently. The purpose of this study was to further describe the changes of balance between the two autonomic nervous components during open heart surgery for coronary arterial disease (CAD) or valvular heart disease (VHD) with the PSA technique of SAP. METHODS: By relaying the SAP signals to a personal computer utilizing a power spectral analysis algorithm, radial arterial pressure signals of 27 patients (11 with CAD for coronary artrial bypass graft, as CAD groups; 16 with VHD, as VHD group, including 8 for aortic valve replacement and 8 for mitral valve replacement) during open heart surgery were monitored in a continuous, on-line and real-time manner. On-line power spectral analysis was performed according to the five different stages of the operation. RESULTS: Power density tended to increase in the high frequency (HF) band during the ventilator-supported stages of the open heart procedures, i.e., the pre-cardiopulmonary bypass (CPB) and the off-CPB periods. The power density in other frequency bands during the whole course of general anesthesia otherwise decreased significantly, with the lowest values occurring during CPB. The power density in very low frequency (VLF) band was much higher than in other bands during CPB, and became the major component of total power density in this period. CONCLUSIONS: The balance between sympathetic and parasympathetic components of autonomic nervous system changes rapidly during open heart surgery and needs careful monitoring. By utilizing PSA of SAP, mathematical error might be an obstacle of using LF:HF ratio as an index of autonomic balance during the CPB period when the HF density approaches zero.

Aged↗

Linear prediction Cholesky decomposition vs Fourier transform spectral analysis for ion cyclotron resonance mass spectrometry.

The fast Fourier transform (FFT) method of spectral analysis converts a time domain signal to a more easily visualized frequency domain spectrum but does not distinguish between signal and noise and produces spectral artifacts (e.g., "Gibb's oscillations") for a truncated and/or improperly sampled time domain signal. For example, FFT cannot resolve two signals if the sampling duration is less than one cycle of the frequency difference between the two signals. Here, linear prediction Cholesky decomposition spectral analysis is applied to ion cyclotron resonance mass spectrometry. The algorithm is robust and capable of extracting spectral parameters (frequency, time domain exponential damping constant, magnitude, and phase) from a signal consisting of multiple exponentially damped noisy sinusoids. Compared to FFT data reduction, linear prediction can offer significantly increased sensitivity (for signals at or below the rms noise level), elimination of Gibb's oscillations, and increased spectral resolving power for a time domain signal that either is truncated or has damped to the rms noise level before the end of the acquisition period. The present analysis can handle up to 8K time domain data sets with 2.5 h PC computation time.

Algorithms↗

[EEG spectral analysis of caffeine effects].

Spectral EEG analysis is shown to quantify the centrally stimulating effects of caffeine. Comparing the effects of coffee, decaffeinated coffee, caffeine solution and placebo results in two groups of substances: coffee and caffeine solution on one side, decaffeinated coffee and placebo on the other. The within-group differences are negligible, whereas the between-group differences are highly significant. It may be concluded that caffeine is the effective factor. This study gives no valid evidence confirming possible effects of other coffee ingredients.

Adult↗

Objective measurement of hepatic encephalopathy in pigs by means of spectral analysis and evoked responses.

Objective measurement of hepatic encephalopathy by means of spectral analysis of the electroencephalogram (EEG), visual-evoked potentials (VEP) and brainstem auditory-evoked potentials (BAEP) was studied in pigs with ischemic hepatic necrosis. The mean dominant frequency (MDF) and the relative power of the delta frequency band (% delta power) showed significant changes with increasing encephalographic grades of encephalopathy: MDF dropped from 7.0 +/- 0.5 (grade 0) to 2.7 +/- 0.3 Hz (grade 3 encephalopathy) and % delta power increased from 52 +/- 7 (grade 0) to 83 +/- 6% (grade 3). The patterns of the VEP in pigs corresponded to those of the human VEP. However, significant differences in either latency time of the peaks or the peak amplitude with increasing stages of hepatic encephalopathy could not be found. The BAEP registered for pigs were reproducible but also were not as useful as spectral analysis for grading hepatic encephalopathy.

Animals↗

Power spectral analysis of the heart rate in hypertensive patients with and without left ventricular hypertrophy: the effect of a left ventricular mass reduction.

OBJECTIVE: The aim of this study was to evaluate the spectral analysis of the heart rate in normotensive subjects and in hypertensive patients with and without left ventricular hypertrophy (LVH), under basal conditions and after a reduction in left ventricular mass. SUBJECTS AND METHODS: In 12 normotensive subjects and 22 hypertensive patients (14 with and eight without LVH), we performed 24 h electrocardiogram Holter monitoring, ambulatory blood pressure monitoring and an echocardiographic study. Sequences of 512 R-R intervals, during daytime, afternoon and night-time periods, were taken for an evaluation of spectral analysis (Box-Jenkins method). We then calculated the absolute and percentage power spectral density of the peak centred at 0.10 Hz (low-frequency peak) and at 0.25 Hz (high-frequency peak). RESULTS: At baseline, a daytime to night-time decrease in the low-frequency peak was detected in normotensives (P < 0.01) and in hypertensives without LVH (P < 0.01), while no change was observed in hypertensives with LVH. The power spectral density low-frequency peak during the daytime and night-time was significantly greater in hypertensives with LVH than in those without LVH (P < 0.001) and in normotensive subjects (P < 0.001). Fourteen of these patients with LVH were given effective long-term antihypertensive treatment and were studied again 20 days after the treatment had been withdrawn, when blood pressure had increased to pretreatment values. In eight patients showing a reduction in LVH, we found a significant decrease in the power spectral density low-frequency peak and an increase in the high-frequency peak during daytime and night-time in respect to basal conditions, and circadian variations in the spectral indices of heart rate variability were restored. In contrast, in six patients without reversal of LVH, the power spectral density low-frequency peak did not change in respect to basal conditions and remained significantly higher in comparison with the patients with LVH regression. CONCLUSION: A reduction in LVH may be associated with restoration of daytime to night-time cardiac autonomic control, as evaluated by a power spectral analysis of the heart rate.

Adolescent↗

Examining protein structure and similarities by spectral analysis technique.

The spectral envelope, a frequency based technique for analyzing categorical time series, is applied to amino acid sequences to examine their periodicity. The periodic signatures of such sequences is related to the secondary structure of the folding patterns in the gene. For a pair of sequences, we define a spectral envelope covariance which emphasizes the common periodicities in the two sequences. This is used to give a similarity measure for the two sequences which can then be used in a neighbour joining algorithm to construct a phylogeny. We apply the spectral methods to myoglobin sequences from primates and cetaceans. The spectral envelope reflects the structure of this protein and the tree constructed using spectral methods shows strong agreement with published trees. The spectral envelope can be used to explore similarities between and within different protein families. Since we do not require aligned sequences, the spectral methods can be used to create phylogenies across different protein families. We apply the method to 11 protein families from PANDIT obtaining a tree where the families are separated and the relationship among the families is given.

Algorithms↗

Spectral analysis of episodic rhythmic variations in the cutaneous electrogastrogram.

Electrical activity of the stomach can be measured using surface electrodes. The cutaneous recording of gastric electrical activity is called the electrogastrogram (EGG). Gastric electrical dysrhythmic events associated with abnormal conditions of the stomach may be detected from the EGG. An adaptive spectral analysis method which is based on autoregressive moving average modeling has previously been developed. The aim of this paper is to demonstrate the ability of the previous method in detecting gastric dysrhythmic events from the EGG. A series of bench tests stimulating typical problems with the analysis of nonstationary electric potentials was conducted. The application of the adaptive spectral analysis method to dysrhythmic events and rhythmic variations of the gastric slow wave is presented in this paper. The adaptive spectral analysis approach provides several advantages: narrow frequency peaks permitting more precise frequency identification, determination of changes in frequency components at any time point, and enhanced interpretation of cutaneous EGG recordings.

Algorithms↗

[Spectral analysis of heart rate variability in the dysfunction of the brainstem].

The heart rate variability, modulated by autonomic nervous system, has been reported to decrease in depression of the central nervous system, especially of the brainstem. To assess the brainstem dysfunction, we analyzed R-R interval values (the intervals between R waves of ECG) in 9 children (7 in comatose children and 2 in central apnea) by spectral analysis using an autoregressive model. The findings of spectral analysis were compared with those of auditory brainstem response (ABR). In comatose children with the brainstem dysfunction, the reduction of the total power was apparent before the appearance of ABR abnormality. In central apnea due to the dysfunction of respiratory center in brainstem, only the respiratory component decreased without the reduction of the total power or ABR abnormality. Spectral analysis of the heart rate variability is a useful means for assessment of the brainstem function.

Age Factors↗

Time-frequency spectral analysis of heart rate variability during induction of general anaesthesia.

We have examined the spectral components of heart rate variability (HRV) during induction of anaesthesia with thiopentone, tracheal intubation and subsequent inhalation of isoflurane-nitrous oxide. Commonly used spectral analysis methods such as fast Fourier transformation or autoregressive modelling require stationary data and are not suitable for the rapidly changing HRV data in this period. An advanced spectral analysis method, time-frequency analysis, which can treat non-stationary data, was used in this study. Multiple spectra were generated to demonstrate the time-related spectral components of HRV. Mid-frequency power (MF, 0.08-0.15 Hz), high-frequency power (HF, 0.15-0.5 Hz) and MF/HF ratio at baseline, after induction (before intubation), immediately after intubation and during maintenance periods were calculated and compared. MF and HF powers decreased after induction and were reduced further in the maintenance period but MF/HF ratio remained unchanged after induction. Immediately after intubation MF and HF powers did not differ significantly from the immediate pre-intubation values, but MF/HF ratio did.

Adult↗

Power spectral analysis and digital filtration of brain stem auditory evoked potentials in dogs.

Power spectral analysis and digital filtering of brain stem auditory evoked potentials (BAEP) were performed in dogs. The BAEP were recorded in 7 dogs, using alternating clicks at frequency of 20 Hz. The clicks were delivered monaurally at intensity of 90-dB normal hearing level. Power spectral analysis indicated that the frequency compositions of the averaged responses were divisible into 4 frequency bands: A (30 to 390 Hz), B (390 to 680 Hz), C (680 to 910 Hz) and D (910 to 1960 Hz). The frequency limits of digital high-pass (HP) and low-pass (LP) filters, at which neither peak-to-peak nor absolute amplitudes were reduced, were 1,170 and 1,270 Hz for P1, 290 and 1,170 Hz for P2, 290 and 980 Hz for P3, 290 and 980 Hz for P4, and 200 and 880 Hz for P5, respectively. The dual structure of BAEP was confirmed in dogs. Below 200 Hz for the HP filter, peak-to-peak and absolute amplitudes of all waves were not significantly reduced. Therefore, this frequency may be a boundary frequency between low- and high-frequency components of BAEP in dogs. The main source for the high-frequency components that constituted each positive peak and the following trough was derived from frequency bands C and D. The frequency limits of 200 Hz for a digital HP filter and of 1,270 Hz for a digital LP filter, at which amplitudes of all waves were not reduced, support the analog filter settings recommended for dogs (ie, < or = 53 and 3,000 Hz for analog HP and LP filters, respectively).

Animals↗