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Quantification of depth of anesthesia by nonlinear time series analysis of brain electrical activity

We investigate several quantifiers of the electroencephalogram (EEG) signal with respect to their ability to indicate depth of anesthesia. For 17 patients anesthetized with sevoflurane, three established measures (two spectral and one based on the bispectrum), as well as a phase space based nonlinear correlation index were computed from consecutive EEG epochs. In the absence of an independent way to determine anesthesia depth, the standard was derived from measured blood plasma concentrations of the anesthetic via a pharmacokinetic/pharmacodynamic model for the estimated effective brain concentration of sevoflurane. In most patients, the highest correlation is observed for the nonlinear correlation index D*. In contrast to spectral measures, D* is found to decrease monotonically with increasing (estimated) depth of anesthesia, even when a "burst-suppression" pattern occurs in the EEG. The findings show the potential for applications of concepts derived from the theory of nonlinear dynamics, even if little can be assumed about the process under investigation.

Journal Article↗

Estimation of the temperature increase in the focus of a lithotripter for the case of high rate administration.

In a recent study Delius et al. demonstrated an increased amount of kidney damage when applying shock waves with a high pulse repetition frequency equal to 100 Hz. The authors interpreted this effect by means in terms of a cavitational mechanism although they could not exclude thermal effects. The present paper estimates the temperature increase for the conditions of the pre-cited study. Taking into account spectral properties of the pressure in the form of cosine, triangle pulses, including their overshoot, as well as an experimental shock wave pulse shape it was possible to compute the temperature increase within the focus of the lithotripter. The maximum estimated temperature increase was equal to 1.8 degrees C for 3000 shock wave pulses of 80 MPa peak pressure. The results of those computations exclude the possibility of significant thermal effects in the damage of kidney tissues even if the administration rate equals 100 shock wave pulses per second.

Animals↗

Accuracy and precision of manual baseline determination.

Vibrational spectra often require baseline removal before further data analysis can be performed. Manual (i.e., user) baseline determination and removal is a common technique used to perform this operation. Currently, little data exists that details the accuracy and precision that can be expected with manual baseline removal techniques. This study addresses this current lack of data. One hundred spectra of varying signal-to-noise ratio (SNR), signal-to-baseline ratio (SBR), baseline slope, and spectral congestion were constructed and baselines were subtracted by 16 volunteers who were categorized as being either experienced or inexperienced in baseline determination. In total, 285 baseline determinations were performed. The general level of accuracy and precision that can be expected for manually determined baselines from spectra of varying SNR, SBR, baseline slope, and spectral congestion is established. Furthermore, the effects of user experience on the accuracy and precision of baseline determination is estimated. The interactions between the above factors in affecting the accuracy and precision of baseline determination is highlighted. Where possible, the functional relationships between accuracy, precision, and the given spectral characteristic are detailed. The results provide users of manual baseline determination useful guidelines in establishing limits of accuracy and precision when performing manual baseline determination, as well as highlighting conditions that confound the accuracy and precision of manual baseline determination.

Algorithms↗

Dependence of binaural loudness summation on interaural level differences, spectral distribution, and temporal distribution.

Loudness of interaurally correlated narrow- and broadband noises was investigated using a loudness estimation paradigm (with two anchors) presented via headphones. Throughout the experiments (most performed by 12 subjects), the results from both anchors agreed very well. In the first experiment, third-octave-band noises centered around 250, 710, or 2000 Hz, as well as broadband red (-10 dB/oct), pink (-3 dB/oct), and blue (+10 dB/oct) noises, with interaural level differences of delta L = 0, 4, 10, 20, and infinity dB, were presented as test signals while the same sound presented monaurally or diotically served as anchor. The binaurally summed loudness at delta L = 0 dB was found to be larger than the loudness of a monaural signal of the same SPL by a factor of about 1.5 and decreased with increasing delta L. No dependence of this behavior on frequency, level, or spectral shape was found. In a second experiment, abutting frequency bands of varying width were alternately presented to the subject's left and right ears with the overall spectrum encompassing the whole audio range. The binaural loudness was larger for fewer but broader frequency bands. In a third experiment, uniform exciting noise was switched between the two ears at various speeds. Increasing the switching frequency gave rise to an increase in loudness of about 20%. All results are discussed from the viewpoint of the use of the standardized loudness meter. At this point, there is no evidence that any significant systematic errors due to single-channel evaluation (in contrast to the human two-channel processing) are made by measuring loudness using these meters.

Adult↗

Aliasing in 1/f(alpha) noise spectra: origins, consequences, and remedies.

The scaling exponent of a 1/f(alpha) noise time series is commonly estimated from the power-law slope of its Fourier power spectrum. Here I show that because 1/f(alpha) noises typically have significant power above the Nyquist frequency, measurements of their power spectra will often be severely distorted by aliasing, not only near the Nyquist frequency, but also far below it. I show that spectral aliasing typically leads to large systematic biases in the scaling exponents, and thus the fractal dimensions, that are estimated from the power-law slopes of 1/f(alpha) noise spectra. I describe a simple spectral filtering method that corrects the distortions introduced by spectral aliasing, and recovers the broadband spectrum of 1/f(alpha) noises. Like a Wiener filter, this filtering method does not require that the correct spectrum is known in advance. I illustrate this filtering technique using two environmental noise spectra that are distorted by aliasing.

Journal Article↗

In situ hyperspectral data analysis for pigment content estimation of rice leaves.

Analyses of the correlation between hyperspectral reflectance and pigment content including chlorophyll-a, chlorophyll-b and carotenoid of leaves in different sites of rice were reported in this paper. The hyperspectral reflectance of late rice during the whole growing season was measured using a Spectroradiometer with spectral range of 350-1050 nm and resolution of 3 nm. The chlorophyll-a, chlorophyll-b and carotenoid contents in rice leaves in rice fields to which different levels of nitrogen were applied were measured. The chlorophyll-a content of upper leaves was well correlated with the spectral variables. However, the correlation between both chlorophyll-b and caroteniod and the spectral variables was far from that of chlorophyll-a. The potential of hyperspectral reflectance measurement for estimating chlorophyll-a of upper leaves was evaluated using univariate correlation and multivariate regression analysis methods with different types of predictors. This study showed that the most suitable estimated model of chlorophyll-a of upper leaves was obtained by using some hyperspectral variables such as SD(r), SD(b) and their integration.

Agriculture↗

Proximity relationship between the active site of Escherichia coli RNA polymerase and rifampicin binding domain: a resonance energy-transfer study.

Escherichia coli RNA polymerase has two subsites, i and i + 1, for the binding of the first two substrates, and the first phosphodiester bond is formed between them during the initiation of transcription. Various studies have shown earlier that the inhibitor rifampicin has little effect, if any, on the formation of this phosphodiester bond. On an earlier occasion, we measured the distance of the i nucleotide from the rifampicin binding site on RNA polymerase using Forster's energy-transfer mechanism [Kumar & Chatterji (1990) Biochemistry 29,317]. In this paper, the 1-aminonaphthalene-5-sulfonic acid (AmNS) derivative of UTP in the presence of 10 mM MgCl2 was used as an energy donor, and its distance from rifampicin was estimated. The modified nucleotide (gamma-AmNS)-UTP binds to RNA polymerase with a Kd of 3 microM and has one binding site in the presence of Mg(II) ion. Fluorescence titration studies performed with or without an initiator indicated that (gamma-AmNS)-UTP exclusively binds to RNA polymerase at the (i + 1) site in the presence of Mg(II). Rifampicin was found to form a 1:1 complex with RNA polymerase bound to labeled UTP. Rifampicin and (gamma-AmNS)-UTP have a substantial spectral overlap with an energy-transfer efficiency close to 50%. Labeled UTP shows a decrease in its excited-state lifetime when bound to the enzyme; the transfer efficiency calculated from lifetime measurements was found to be lower than that estimated from steady-state spectral analysis. Time-resolved emission spectral analysis was carried out to differentiate between the free and bound UTP over the enzyme surface.(ABSTRACT TRUNCATED AT 250 WORDS)

Binding Sites↗

A new psychophysical method for determining the photopic spectral-luminosity function of the human eye.

Using an 8 mm pupil, 2AFC-method, and 2 x 2 deg2 grating at 2 c/deg we measured contrast sensitivity as a function of integrated radiance for a series of interference filters with peak wavelengths at 400-700 nm. Irrespective of the radiance level, contrast sensitivity was highest when wavelength was at and around 550 nm. It decreased towards longer and shorter wavelengths, reflecting the variation of the probability of quantal catch with light wavelength. When contrast sensitivity functions plotted in double logarithmic coordinates were shifted horizontally by multiplying the integrated radiances of each filter by an appropriate scaling factor, the functions superimposed onto a single curve. Contrast sensitivity at lower levels of relative radiance (R) increased in proportion to square root of R, obeying DeVries-Rose law, but at higher levels contrast sensitivity was constant, obeying Weber's law. Scaling factors plotted as a function of wavelength provided an estimate of V(lambda) quite similar to the standard 2 deg photopic spectral-luminosity function of CIE 1924.

Adult↗

Sleep in adults with attention-deficit/hyperactivity disorder: a controlled polysomnographic study including spectral analysis of the sleep EEG.

STUDY OBJECTIVES: Previous studies in children with attention-deficit/hyperactivity disorder and attention deficit disorder (ADHD/ADD) have shown impaired sleep quality with increased nocturnal motor activity. However, polysomnographic findings are not unequivocal. Up to now, in adults with ADHD, only 1 case-control polysomnographic study with small sample size has been performed. We investigated objective and subjective sleep quality in adultADHD, including an electroencephalogram spectral power analysis. DESIGN: Single-blind comparative study. SETTING: University medical center. PARTICIPANTS: Twenty adult unmedicated ADHD patients without current comorbid major depression, drug abuse, or comorbid axis-II disorder and 20 sex- and age-matched control subjects. INTERVENTIONS: N/A. MEASUREMENTS: Conventional polysomnographic parameters and sleep electroencephalogram spectral power analysis was calculated for the 2 laboratory nights. Subjective sleep parameters were estimated by sleep questionnaires to assess the relationship between objective and subjective sleep measurements. RESULTS: Adult ADHD patients showed increased nocturnal motor activity (as indicated by heightened indexes of periodic leg movements in sleep), which was significantly inversely correlated with subjective total sleep time. Although ADHD patients displayed significantly increased objective total sleep time, the subjective ratings documented impaired sleep quality in those with ADHD. Other polysomnographic sleep patterns and spectral electroencephalogram parameters did not differ between ADHD patients and normal controls. CONCLUSIONS: Similar to children, adults with ADHD show increased nocturnal motor activity. Otherwise, sleep does not seem to be impaired in ADHD patients. However, the dissociation between objective and subjective sleep parameters points to a misinterpretation of sleep quality in patients with ADHD.

Adult↗

Evaluation of single-pigment shift model of anomalous trichromacy.

The spectral sensitivity of the visual photopigments, the interobserver variability in color judgments, and the spectral locus of unique yellow provide three major problems for accounts of X-chromosomal-linked anomalous trichromacy. According to the single-pigment hypothesis, the primary defect in anomalous trichromacy is a wavelength shift in the peak sensitivity of one of the three visual photopigments. We show that this shift results in reduction of the anomalous trichromat's r-g opponent chromatic channel. The distribution of response variability in Rayleigh equation match widths due to factors other than the spectral characteristics of the photopigments is similar in normal and anomalous trichromats. When normal and anomalous trichromats make hue estimations of sets of stimuli designed to contain similar chromatic information, their judgments show similar variability. Calculation of the r-g opponent chromatic channel can provide correct predictions of the spectral loci for unique yellow for anomalous trichromats.

Animals↗

Effect of pH on oxidation-reduction potentials of 8 alpha-N-imidazole-substituted flavins.

The pKa values for the various ionic forms of 8 alpha-N-imidazolylriboflavin were determined in its oxidized and hydroquinone forms and estimated for its semiquinone form. The pH dependence of the absorption and fluorescence spectral properties and potentiometric titration data show the pKa values for the oxidized form to be 6.02 +/- 0.03 for the 8 alpha-imidazole nitrogen and 9.67 +/- 0.05 for the N(3) position of the flavin ring. The pH dependence of the oxidation-reduction potential was determined by spectrocoulometric titrations, and the data points were compared with computer-simulated plots. Two pKa values for the hydroquinone form of the flavin were determined and assigned. The pKa for the imidazole ring is found to be 6.9 +/- 0.1 and for the N(1) position of the flavin hydroquinone is found to be 5.5 +/- 0.1. Analysis of the pH dependence of the one-electron couples E2 (flavoquinone/flavin semiquinone, Flox/Fl.) and E1 (flavin semiquinone/flavin hydroquinone, Fl./Flred) resulted in an estimated pKa of 6.5 for the 8 alpha-imidazole ring in the flavin semiquinone form. These data show the possible involvement of the ionization of the 8 alpha-imidazole substituent in the redox chemistry of flavoenzymes containing either an 8 alpha-N1- or an 8 alpha-N3-histidyl-linked covalent flavin coenzyme. Future work on oxidation-reduction potentials of this class of enzymes must take into consideration the influence of the 8 alpha-histidyl substituent.

Chemical Phenomena↗

Improved estimators for fractional Brownian motion via the expectation-maximization algorithm.

Fractional Brownian motion (FBM) provides a useful model for many physical and biological phenomena demonstrating long-term dependencies and 1/f-type spectral behavior. In this model, only one parameter is necessary to describe the complexity of the data, the Hurst exponent (H). The development of accurate estimators for H is a topic of interest in areas such as radiographic image processing and heart rate variability (HRV) analysis. The development of a 1D estimator utilizing the Expectation-Maximization (EM) algorithm is explained; the estimator is designed for a signal model consisting of FBM and additive white noise. The performance of this estimator is tested on simulated noisy FBM data sets, and found to provide more accurate estimates of H than a maximum likelihood estimator for FBM and the detrended fluctuation analysis (DFA) method.

Algorithms↗

Measurement of solar UVB variations by polysulphone film.

Sheets of polysulphone film have been extensively used as detectors to monitor solar UVB radiation. The advantages of polysulphone detectors are that they are small in size, they have good thermal stability and they are sensitive to UVB radiation. The principal disadvantage of polysulphone detectors is that their spectral sensitivity includes part of the short-wavelength UVA. In this study, we investigate the spectral sensitivity of the polysulphone detector with a series of monochromatic (+/- 2 nm) excitations. We then compare the polysulphone-effective solar radiation with the erythemally effective solar radiation by comparing solar UVB data obtained with polysulphone films with those obtained with a spectroradiometer. From polysulphone data on the seasonal variation of solar UVB radiation, we estimate the corresponding fluctuations of the absorption of the ozone layer. We show that the spectral sensitivity of the polysulphone film is closer to the erythema action spectrum than that indicated by earlier data and that polysulphone detectors can be used to predict the erythema risk of solar UVB. Measurements on solar UVB with polysulphone films and with a spectroradiometer were found to be strongly correlated (R2 > 0.95). Finally, polysulphone-based measurements provide a good measure of the fluctuations of the stratospheric ozone layer.

Journal Article↗

The spectral input to honeybee visual odometry.

Bees returning from a feeder placed in a narrow tunnel that is lined with a chequered pattern will strongly overestimate travel distance. This finding supports the view that their distance estimation is based on integrating optic flow experienced during flight. Here, we use chequered tunnels with various colour combinations as a tool to identify the spectral channel used by bees to gauge travel distance. The probability of bees performing waggle dances after a short travel distance correlates only with the low range of the green contrast of the pattern in the tunnel. But it does not correlate with the pattern's chromatic contrast or brightness contrast. Distance estimation is therefore colour blind. We also evaluated the waggle runs as a function of colour pattern. Their duration is the code for the food source distance. Waggle run duration is entirely independent of the colour pattern used, implying that once green contrast is above detection threshold, distance estimation depends solely on the angular motion of the landscape passed in flight.

Animal Communication↗

Model-based assessment of autonomic control in obstructive sleep apnea syndrome.

STUDY OBJECTIVES: To quantitatively assess autonomic cardiovascular control in patients with obstructive sleep apnea syndrome (OSAS) using a mathematical model that relates changes in R-R interval (RRI) to respiration and changes in systolic blood pressure (SBP), and to compare the results obtained with conventional techniques. DESIGN: Respiration, RRI, and arterial blood pressure were monitored noninvasively in awake subjects in the supine and standing postures. A mathematical model was used to partition the fluctuations in RRI into a component ("RSA") correlated with respiration and a component ("baroreflex") correlated with fluctuations in SBP. SETTING: Sleep disorders laboratory in a hospital setting. PATIENTS OR PARTICIPANTS: 11 middle-aged male patients with untreated OSAS (apnea-hypopnea index = 75.9 +/- 11.1 (SE) events h-1) and 11 age-matched normal controls (10 males + 1 female). INTERVENTIONS: The subjects were monitored while breathing spontaneously in both supine and standing postures. Each subject also had to perform a battery of 5 standard autonomic stress tests (AST). MEASUREMENTS AND RESULTS: Four of the 5 ASTs did not indicate any difference between controls and OSAS subjects. There were also no differences in the indices derived from power spectral analysis of RRI and blood pressure variability; however, these spectral indices were sensitive to postural changes (orthostatic stress). Both RSA and baroreflex gains estimated from the model were substantially depressed in OSAS (P < 0.02) Changes in posture affected RSA gain but not baroreflex gain. The time-courses of the dynamics of these model components were not significantly different between subject groups. CONCLUSIONS: OSAS leads to abnormal parasympathetic and sympathetic control of heart rate, as reflected in depressed RSA and baroreflex gains. Model-based assessment was more sensitive in detecting abnormal autonomic function, compared to standard autonomic testing and power spectral analysis. The model-based approach represents a relatively simple and nonintrusive means of quantifying the key aspects of autonomic control in spontaneously breathing OSAS patients during wakefulness.

Adult↗

Circular dichroism studies of angiotensin II and analogues: effects of primary sequence, solvent, and pH on the side-chain conformation.

Conformational aspects of the pressor hormone angiotensin II and 11 of its structural analogues were studied by circular dichroism. Each position of the peptide was singly substituted with an aliphatic residue and alterations of the CD spectra of the resulting analogues in the peptide and aromatic spectral regions (320-250 nm, 250-190 nm) were examined. The spectra of these peptides in 2,2,2-trifluoroethanol solution permit estimation of the relative importance of the various side chains in maintaining the backbone conformation of the hormone. The evolution of the CD spectra in both spectral regions of the peptides in aqueous solution during a titration from pH 1 to pH 12 makes it possible to elucidate further the role of ionizable groups and their interaction with aromatic amino acids such as tyrosine. The results obtained indicate that substitutions in aspartic acid 1, proline 7, and phenylalanine 8 of angiotensin II entail changes in the backbone conformation. On the other hand, the side chains of valine 3, isoleucine 5, and the biologically essential histidine 6 serve mainly to correctly align the phenolic ring of tyrosine in position 4.

Amino Acid Sequence↗

Wavelet-generalized least squares: a new BLU estimator of linear regression models with 1/f errors.

Long-memory noise is common to many areas of signal processing and can seriously confound estimation of linear regression model parameters and their standard errors. Classical autoregressive moving average (ARMA) methods can adequately address the problem of linear time invariant, short-memory errors but may be inefficient and/or insufficient to secure type 1 error control in the context of fractal or scale invariant noise with a more slowly decaying autocorrelation function. Here we introduce a novel method, called wavelet-generalized least squares (WLS), which is (to a good approximation) the best linear unbiased (BLU) estimator of regression model parameters in the context of long-memory errors. The method also provides maximum likelihood (ML) estimates of the Hurst exponent (which can be readily translated to the fractal dimension or spectral exponent) characterizing the correlational structure of the errors, and the error variance. The algorithm exploits the whitening or Karhunen-Loéve-type property of the discrete wavelet transform to diagonalize the covariance matrix of the errors generated by an iterative fitting procedure after both data and design matrix have been transformed to the wavelet domain. Properties of this estimator, including its Cramèr-Rao bounds, are derived theoretically and compared to its empirical performance on a range of simulated data. Compared to ordinary least squares and ARMA-based estimators, WLS is shown to be more efficient and to give excellent type 1 error control. The method is also applied to some real (neurophysiological) data acquired by functional magnetic resonance imaging (fMRI) of the human brain. We conclude that wavelet-generalized least squares may be a generally useful estimator of regression models in data complicated by long-memory or fractal noise.

Adult↗

Neuromotor noise and poor handwriting in children.

In this article Power Spectral Density Analysis of the velocity profile of handwriting tasks is applied to estimate movement noise in poor and proficient writers. It is hypothesized that poor writers are less effective in the inhibition of neuromotor noise. Evidence for this theory is found in an analysis of electronically sampled handwriting movements of 48 children from grade 2, 3 and 4 (mean ages 8, 9 and 10, resp.). Twenty-four were poor and 24 were good writers, as judged by their teachers. Subjects were matched on age, sex, handedness and educational level. They performed handwriting tasks consisting of simple garlands and arcades, or meaningless words built from the letters 'e', 'n' and 'm'. In the tasks stroke accuracy, size and rotational direction were systematically varied. The results reveal that movement times were not different between the two groups, but poor writers and good writers used different movement strategies. Movements of the less proficient children were larger and were produced with higher movement velocities. Power Spectral Density Analysis disclosed that handwriting movements of poor writers were substantially more noisy than those of proficient writers, with a consistent peaking of the noise energy in that region of the spectrum which is representative for neuromotor tremor. Also, poor writers were less successful in adapting the level of noise to increased accuracy demands of the tasks. The results support the view that deviant biomechanical strategies might be responsible for deficient motor performance.

Child↗