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Biomedical subjects

G Nolte

Publications and source records attributed to G Nolte.

At least 19 recordsLinked to original sources

Noise reduction in magnetocardiography by singular value decomposition and independent component analysis.

In the routine recording of magnetocardiograms (MCGs), it is necessary to underline the problem of noise cancellation. Source separation has often been suggested to solve this problem. In this paper, blind source separation (BSS), by means of singular value decomposition (SVD) and independent component analysis (ICA), was used for noise reduction in MCG data to improve the signal to noise ratio. Special techniques, based on statistical parameters, for identifying noise and disturbances, have been introduced to automatically eliminate noise-related and disturbance-related components before reconstructing cleaned data sets. The results show that ICA and SVD can detect and remove a variety of noise and artefact sources from MCG data, as well as from stress MCG.

Algorithms↗

Small-world networks and functional connectivity in Alzheimer's disease.

We investigated whether functional brain networks are abnormally organized in Alzheimer's disease (AD). To this end, graph theoretical analysis was applied to matrices of functional connectivity of beta band-filtered electroencephalography (EEG) channels, in 15 Alzheimer patients and 13 control subjects. Correlations between all pairwise combinations of EEG channels were determined with the synchronization likelihood. The resulting synchronization matrices were converted to graphs by applying a threshold, and cluster coefficients and path lengths were computed as a function of threshold or as a function of degree K. For a wide range of thresholds, the characteristic path length L was significantly longer in the Alzheimer patients, whereas the cluster coefficient C showed no significant changes. This pattern was still present when L and C were computed as a function of K. A longer path length with a relatively preserved cluster coefficient suggests a loss of complexity and a less optimal organization. The present study provides further support for the presence of "small-world" features in functional brain networks and demonstrates that AD is characterized by a loss of small-world network characteristics. Graph theoretical analysis may be a useful approach to study the complexity of patterns of interrelations between EEG channels.

Aged↗

Localization of realistic cortical activity in MEG using current multipoles.

We present a novel approach to MEG source estimation based on a regularized first-order multipole solution. The Gaussian regularizing prior is obtained by calculation of the sample mean and covariance matrix for the equivalent moments of realistic simulated cortical activity. We compare the regularized multipole localization framework to the classical dipole and general multipole source estimation methods by evaluating the ability of all three solutions to localize the centroids of physiologically plausible patches of activity simulated on the surface of a human cerebral cortex. The results, obtained with a realistic sensor configuration, a spherical head model, and given in terms of field and localization error, depict the performance of the dipolar and multipolar models as a function of variable source surface area (50-500 mm(2)), noise conditions (20, 10, and 5 dB SNR), source orientation (0-90 degrees ), and source depth (3-11 cm). We show that as the sources increase in size, they become less accurately modeled as current dipoles. The regularized multipole systematically outperforms the single dipole model, increasingly so as the spatial extent of the sources increases. In addition, our simulations demonstrate that as the orientation of the sources becomes more radial, dipole localization accuracy decreases substantially, while the performance of the regularized multipole model is far less sensitive to orientation and even succeeds in localizing quasi-radial source configurations. Furthermore, our results show that the multipole model is able to localize superficial sources with higher accuracy than the current dipole. These results indicate that the regularized multipole solution may be an attractive alternative to current-dipole-based source estimation methods in MEG.

Algorithms↗

Noise robust estimates of correlation dimension and K2 entropy.

Using Gaussian kernels to define the correlation sum we derive simple formulas that correct the noise bias in estimates of the correlation dimension and K2 entropy of chaotic time series. The corrections are only based on the difference of correlation dimensions for adjacent embedding dimensions and hence preserve the full functional dependencies on both the scale parameter and embedding dimension. It is shown theoretically that the estimates, which are derived for additive white Gaussian noise, are also robust for moderately colored noise. Simulations underline the usefulness of the proposed correction schemes. It is demonstrated that the method gives satisfactory results also for non-Gaussian and dynamical noise.

Journal Article↗

Independent short-term variability of spike-like (600 Hz) and postsynaptic (N20) cerebral SEP components.

Human scalp-derived somatosensory evoked potentials (SEP) elicited by median nerve stimulation contain an early (20 ms latency) high-frequency (600 Hz) wavelet burst which is supposed to reflect non-invasively the timing of rapidly repeating population spikes in thalamocortical afferences and/or the receiving neocortical cell populations. This burst is superimposed onto the slower (< or = 100 Hz) primary cortical response (N20) representing intracortically generated postsynaptic events. The present study addressed the temporal dynamics and correlation of these response components in awake human subjects and found that at a 3 min time scale the burst response was significantly more variable than the concomitant N20, and that the burst and N20 varied independently of each other. Thus, wavelet burst and N20 represent parallel and partly independent steps in sensory processing at cortical input stages in awake human subjects. We propose that the N20 represents a stable somatosensory input whereas the more fluctuating high-frequency burst could index variable modes of processing, such as a floating focus of attention.

Adolescent↗

Partial signal space projection for artefact removal in MEG measurements: a theoretical analysis.

Standard methods for artefact removal in MEG or EEG measurements consist of rejection of either corrupted epochs or signal space projection (SSP). We propose to combine the two methods by applying SSP only in corrupted epochs and thus using both temporal and spatial information. This partial signal space projection necessarily results in smaller variances for the source localization. Formulae for dipole localization errors as a function of fraction of corrupted epochs are derived and verified in Monte Carlo simulations of MEG measurements corrupted with eye artefacts. A theoretical analysis of various measuring devices, classes of artefact and locations of dipole of interest shows that the proposed method leads to significant improvement for frontal signal dipoles and for 30-80% corrupted epochs.

Algorithms↗

Rapid recovery (20 ms) of human 600 Hz electroencephalographic wavelets after double stimulation of sensory nerves.

Non-invasive scalp-recordings of human somatosensory evoked potentials (SEP) contain high-frequency (600 Hz) wavelet bursts, presumably generated by synchronized thalamocortical and/or intracortical population spikes. Here, double pulse stimulation (interval 20 ms) in 12 healthy subjects revealed significantly different burst recovery for mixed vs. sensory-only nerves. For median nerves the second burst response was decreased (11/11 subjects), possibly due to interfering reafferent (e.g. muscle spindle) input. In contrast, for sensory-only superficial radial nerves (containing less fibers than median nerves), weak bursts were detected in 6/11 subjects and were found fully recovered in 4/6 subjects. This potential for rapid burst recovery at 20 ms intervals renders contributions from neurons emitting bursts based on slowly recovering low-threshold calcium spikes unlikely and favors the generation of macroscopic SEP bursts by specialized cell populations, e.g. inhibitory interneurons and/or chattering cells the latter of which are capable to discharge rapidly repeating (50 Hz) high-frequency (600 Hz) bursts of fast sodium spikes.

Action Potentials↗

Artifact reduction in magnetoneurography based on time-delayed second-order correlations.

Artifacts in magnetoneurography data due to endogenous biological noise sources, like the cardiac signal, can be four orders of magnitude higher than the signal of interest. Therefore, it is important to establish effective artifact reduction methods. We propose a blind source separation algorithm using only second-order temporal correlations for cleaning biomagnetic measurements of evoked responses in the peripheral nervous system. The algorithm showed its efficiency by eliminating disturbances originating from biological and technical noise sources and successfully extracting the signal of interest. This yields a significant improvement of the neuro-magnetic source analysis.

Algorithms↗

Current multipole expansion to estimate lateral extent of neuronal activity: a theoretical analysis.

High-resolution magnetoencephalography (MEG) allows for a detailed description of focal neuronal current sources going far beyond the dipole approximation which merely indicates the center and magnitude of neuronal activity. Higher order multipole coefficients can be related to other bulk properties, like spatial extent or curvature. The possibility and limitations of measuring spatial extent by interpreting reconstructed multipole coefficients was tested under realistic noise conditions and for model misspecifications; for this analysis the primary cortical response ("N20") to electric median nerve stimulation was modeled by a one dimensional source distribution. The forward calculation was done analytically up to octapolar order for a spherical volume conductor. The multipole expansion is shown to estimate the lateral source extent with negligible bias; this estimate is to first-order stable against additional source features, like gyral curvature or spatial extent in a second direction (gyral depth, neuronal length). For a dipole moment of 20 nAm a lateral extent of 2 cm can be detected for a realistic noise level with large but experimentally still reasonable effort. Approximating a realistic head model by a sphere results in errors larger than the extent to be estimated; accordingly, studies on human cortical evoked responses will require multipole fitting in realistic head models.

Humans↗

Multiple generators of 600 Hz wavelets in human SEP unmasked by varying stimulus rates.

Human scalp-derived somatosensory evoked potentials contain a high-frequency wavelet burst, presumably reflecting repetitive synchronized population spikes. Here, the burst refractory behavior was characterized using median nerve electrostimulation with 18 frequencies (0.5-25Hz) for comparison with cellular burst characteristics. Above 10 Hz only a brief high-frequency (700 Hz) burst component remained discernible, which gradually decreased; possible generators comprise cells capable of generating spike bursts of extraordinarily high frequency, such as pyramidal 'chattering cells', cortical fast spiking inhibitory interneurons and some thalamocortical relay cells. At stimulation frequencies <4 Hz an additional late burst component appeared with only 494 Hz intraburst frequency. Comparably long refractory periods and low intraburst frequencies have been described for bursting cells driven by low-threshold calcium currents.

Action Potentials↗

The effect of artifact rejection by signal-space projection on source localization accuracy in MEG measurements.

The consequences of artifact suppression by means of signal-space projection on dipole localization accuracy for magnetoencephalography measurements are studied. Approximate analytical formulas, equivalent to the Cramer-Rao bound, are presented and verified by Monte Carlo simulations which relate the increase of localization error for individual coordinates to the similarity of the artifact field and respective (contravariant) quadrupole fields obtained by differentiating the dipole field with respect to its origin. The expressions simplify significantly for dipoles placed below the center of the measuring system giving rise to highly symmetric field patterns. Formulas are presented both for single- and for multiple-artifact rejection. As illustrative examples artifact fields are constructed which a) lead to highly decreasing signal-to-noise ratio and goodness-of-fit (GOF), while the localization error is unaffected for all coordinates and b) lead to an increase of localization error while the SNR and the GOF stays constant. Finally, the rich structure of localization error increase is demonstrated for a class of artifact fields originating from artifact current dipoles.

Artifacts↗

Differential recruitment of high frequency wavelets (600 Hz) and primary cortical response (N20) in human median nerve somatosensory evoked potentials.

Human median nerve somatosensory evoked potentials contain a burst of high-frequency (600 Hz) wavelets superimposed on the primary cortical response (N20). These presumably reflect highly-synchronized repetitive thalamic and/or intracortical population spike bursts and are diminished in non-REM sleep with N20 persisting. Here the burst/N20 relation in awake subjects was examined by using eight different intensities of electric median nerve stimuli. In all subjects the amplitude recruitment of both N20 and burst could be modeled adequately as a sigmoidal function of stimulus intensity. While 8/10 subjects showed a parallel recruitment, 2/10 subjects required significantly higher stimulation intensities for burst than for N20 recruitment. This dampened burst recruitment possibly reflects slight vigilance fluctuations in open-eyed awake subjects; a further increase of burst thresholds could explain the burst attenuation when entering shallow sleep.

Adult↗

Somatotopic source arrangement of 600 Hz oscillatory magnetic fields at the human primary somatosensory hand cortex.

Based on low-noise superconducting quantum interference devices (SQUIDs) magnetoencephalography allows the non-invasive detection of low-amplitude high-frequency brain responses evoked about 20 ms after electric hand nerve stimulation. The main spectral energy of these brief oscillatory bursts (near 600 Hz) is in the range typical for rapidly repeated action potentials. Here, the magnetic fields of median and ulnar nerve evoked 600 Hz bursts are shown to exhibit a somatotopic arrangement at the primary somatosensory hand cortex closely resembling that of the concomitant postsynaptic primary cortical response (¿N20m'). Two possible burst generators are discussed: (1) repetitive spike volleys conducted along the terminal segments of somatotopically arranged thalamocortical axons, and (2) early intracortical spike activity in nerve-specific subterritories of the 3b hand area.

Brain Mapping↗

On the calculation of magnetic fields based on multipole modeling of focal biological current sources.

Spatially restricted biological current distributions, like the primary neuronal response in the human somatosensory cortex evoked by electric nerve stimulation, can be described adequately by a current multipole expansion. Here analytic formulas are derived for computing magnetic fields induced by current multipoles in terms of an nth-order derivative of the dipole field. The required differential operators are given in closed form for arbitrary order. The concept is realized in different forms for an expansion of the scalar as well as the dyadic Green's function, the latter allowing for separation of those multipolar source components that are electrically silent but magnetically detectable. The resulting formulas are generally applicable for current sources embedded in arbitrarily shaped volume conductors. By using neurophysiologically relevant source parameters, examples are provided for a spherical volume conductor with an analytically given dipole field. An analysis of the signal-to-noise ratio for multipole coefficients up to the octapolar term indicates that the lateral extent of cortical current sources can be detected by magnetoencephalographic recordings.

Biophysical Phenomena↗

[Protein oriented peripheral venous nutrition following surgical trauma].

In the postoperative state, hypercaloric parenteral nutrition is not indicated in every patient where enteral nutrition is not feasible. Low caloric protein oriented peripheral venous parenteral feeding might be an alternative nutritional regimen in moderate catabolic postoperative states. In a prospective study, 18 females received a completed nutritional solution during 4 days postoperatively following major colon surgery. The solution contained 80 g Sorbitol, 40 g Xylitol, 70 g amino acids and electrolytes (700 kcal/day). A slightly negative nitrogen balance with daily losses of about 4 g of N were observed. Routine biochemical data did not change compared to preoperative values. Plasma free amino acid homeostasis has been maintained so that conditions for optimal utilisation of the infused nutrients were given. No general side effects could be observed. This protein oriented nutritional solution may be recommended for hypocaloric peripheral venous nutrition in moderate catabolic states.

Amino Acids↗