Modulation of cortical neural dynamics during thalamic deep brain stimulation in patients with essential tremor

Hohlefeld F.; Ehlen F.; Krugel L.; Kühn A.; Curio G.; Klostermann F.; V. Nikulin

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Modulation of cortical neural dynamics during thalamic deep brain stimulation in patients with essential tremor

NeuroReport (UK). 2013. Vol. 13. No. 24. P. 751–756.

Hohlefeld F., Ehlen F., Krugel L., Kühn A., Curio G., Klostermann F., Nikulin V.

Although thalamic deep brain stimulation is an effective treatment for patients with essential tremor, little is known about its effect on cortical neural dynamics. Therefore, we investigated long-range temporal correlations and spectral power in electroencephalographic recordings of patients during OFF versus ON bilateral thalamic deep brain stimulation in comparison with healthy controls. Cortical dynamics were analyzed in the range of 6-30 Hz. We found the presence of long-range temporal correlations up to 20 s in patients and controls. Thalamic deep brain stimulation was associated with increased long-range temporal correlations in the high beta band (21-30 Hz) and decreased power in the low beta band (13-20 Hz) compared with OFF stimulation and healthy controls. Long-range temporal correlations in the 6-10 Hz range were increased with OFF stimulation compared with the controls. Importantly, deep brain stimulation-induced changes in long-range temporal correlations within 6-10 Hz and in the beta ranges (13-20, 21-30 Hz) were correlated with OFF-ON changes in the tremor severity and with the disease duration, respectively. The differential reactivity of long-range temporal correlations and spectral power to deep brain stimulation might suggest that both measures reflect distinct aspects of cortical dynamics and might represent biomarkers for stimulation-induced modulations of neural dynamics in electroencephalography. The fact that long-range temporal correlations, but not spectral power, were correlated with clinical information might suggest long-range temporal correlations as a potential marker for disease severity in essential tremor.

Research target: Mathematics Earth Sciences Biology

Priority areas: IT and mathematics

Language: English

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Keywords: Neural oscillations detrended fluctuation analysis Temporal correlations Ventral Intermediate Nucleus

On Calculation of Robustness and Stability of Formal Concepts Based on Delta Measure

Parkhomenko V., Kulikova S., Buzmakov A. V., Lobachevskii Journal of Mathematics 2026 Vol. 47 No. 6 P. 2979–2992

The stability of formal concepts and its generalization as robustness are considered in the paper. We use an approximation of stability in the form of Δ-measure for fast calculations. A computationally efficient method for calculating robustness based on subcontexts is presented. We also present a new method to analytically evaluate the number of preimages for ...

Added: October 14, 2026

Shrimps as a fundamental object of nonlinear dynamics. Overview, properties and quasi-periodic generalization

Kuznetsov A. P., Sedova Y. V., Sataev I. R. et al., Mathematics and Computers in Simulation 2027 Vol. 2 P. 574–592

Universal bifurcation structures on the parameter plane of nonlinear systems, known as shrimps, are discussed. An overview of numerous examples from various fields of science is given. Shrimps are typical for both maps of different dimensions and flows. The varieties of shrimp are discussed and relevant examples are given. The similarity property on the parameter ...

Added: October 14, 2026

Poincaré series of valuations on functions over a subfield of complex numbers

Gusein-Zade S., Campillo A., Delgado F., Mathematische Zeitschrift 2026 Vol. 314 No. 1 P. 1–22

For a subfield $\K$ of the field $\C$ of complex numbers, we consider curve and divisorial valuations on the algebra $\K[[x,y]]$ of formal power series in two variables with the coefficients in $\K$. We compute the semigroup Poincar\'e series and the classical Poincar\'e series of a (discrete, rank one) valuation on it. ...

Added: October 13, 2026

Динамика изолированного поселения Spermophilus Suslicus (Rodentia, Sciuridae) в Липецке (Европейская Россия), его перспективы и роль в сохранении вида

Батова О. Н., Савинецкая Л. Е., Проявка С. В. et al., Nature Conservation Research. Заповедная наука 2026 Т. 11 № 4 С. 25–39

Spermophilus suslicus is a threatened species listed in Red Data Books at all levels (from regional Red Data Books to the IUCN Red List of Threatened Species), and it currently requires special conservation activity. Over the past 30–50 years, its range has changed from continuous to mosaic, and its population has declined everywhere. In 2015, in Russia experimental ...

Added: October 13, 2026

Wave scattering by a sloping beach of an arbitrary angle. Revisited: regular solution

Mishuris G., Meylan M. H., Pelinovsky E., Journal of Fluid Mechanics 2026 Vol. 1045 Article A4

In this paper, we revisit the classic problem of a wave field on a sloping beach of an arbitrary angle and propose a general approach that allows the computation of regular solutions of the problem regardless of the angle. We use the Mellin-transform technique, reducing the problem to singular integral equations with fixed-point singularities of ...

Added: October 12, 2026

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Gusein-Zade S., М.: МЦНМО, 2026.

Книга содержит курс лекций по дифференциальной геометрии и топологии, читавшихся автором на механико-математическом факультете МГУ в разные годы. В дополнениях приводятся некоторые сюжеты (связности в расслоениях, теорема Фробениуса, производные Ли и др.), которые были включены в курс в отдельные годы либо содержались в аналогичных курсах лекций в Независимом московском университете. Для студентов математических и физических специальностей. ...

Added: October 12, 2026

Effects of snow drought on spring green-up on the Mongolian Plateau

Ari G., Liu X., Jiang L. et al., Ecological Indicators 2026 Vol. 191 Article 115592

Snow drought has become a research hotspot due to its widespread impacts on ecosystems and water resources, yet its effects on vegetation phenology remain relatively understudied. Focusing on the Mongolian Plateau, this study used the Snow Water Equivalent Index and the start of growing season (SOS) to assess the associations between snow drought and vegetation ...

Added: October 12, 2026

Detailed data on anatomy of the coelomic system and ultrastructure of the lophophore coelom in brachiopod Novocrania anomala with discussion of the phylogenetic significance

Temereva E., Zoologischer Anzeiger 2026 Vol. 325 P. 182–195

Brachiopoda is a group of animals, that is still insufficiently studied at the ultrastructural level, despite the significance of ultrastructure of tissues and organs for analysing the functional morphology, reconstructing the organisation and biology of numerous extinct brachiopods, and establishing relationships among major taxa. In the present study, we provide a revised reconstruction of the ...

Added: October 11, 2026

О воспроизводимости анализа временных рядов на основе матричных профилей

Брычков М. Е., Незнанов А.А., Программирование 2026 № 4 С. 50–66

The matrix profile (MP) quickly became one of the most important time series preprocessing methods when it was introduced in 2016, facilitating the solution of a wide range of time series analysis problems, in particular anomaly and pattern detection problems. The high significance has led to the emergence of various tools for MP calculating, but ...

Added: October 9, 2026

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М.: Юрайт, 2026.

The Collection of Olympiad Problems (COP) in Probability Theory and Mathematical Statistics (PTMS) is offered as a teaching aid primarily for university students and faculty as a developmental supplementary resource, expanding the range of problems to be solved in lectures, seminars, and out-of-class independent work with students in various formats, including (as the title suggests) ...

Added: October 9, 2026

Человеко-машинная система анализа и улучшения качества условий проживания населения

Aleskerov F. T., Вайншток А. П., Делахова А. М. et al., Информационные процессы 2026 Т. 26 № 3 С. 895–913

The development and effective management of territorial entities are priority issues for all states, particularly in the context of the digital transformation of public administration. Over the past decade, the integration of information technologies into municipal and regional planning has significantly altered approaches to strategic development, service delivery, and public engagement. This paper describes the ...

Added: October 9, 2026

Linear dependencies, polynomial factors in the Duke–Erdős forbidden sunflower problem

Kupavskii A., Noskov F., Forum of Mathematics, Sigma 2026 Vol. 14 Article 124

We call a family of $s$ sets $\{F_1, \ldots, F_s\}$ a sunflower with $s$ petals if, for any distinct $i, j \in [s]$, one has $F_i \cap F_j = \cap_{u = 1}^s F_u$. The set $C = \cap_{u = 1}^s F_u$ is called the {\it core} of the sunflower. It is a classical result of ...

Added: October 8, 2026

Analytical solution for cylindrical propagation of tsunami in the ocean of variable depth

Didenkulova E., Chugunov V., Didenkulova I., Wave Motion 2026 Vol. 147 Article 103787

This work presents a new analytical solution of the shallow water theory for cylindrical propagation of long tsunami-like waves in the basin of variable depth. Considered model cases are related to tsunami wave propagation from an asteroid fallen into the sea, or from underwater volcanic eruptions. The corresponding bottom geometries represent radially symmetric obstacles such ...

Added: October 8, 2026

Champion soliton emergence from bipolar solitary wave interactions in the Schamel equation

Flamarion M., Didenkulova E., Pelinovsky E., Physics Letters A 2026 Vol. 598 Article 132218

In this letter, bipolar solitary wave interactions in the Schamel equation are revisited numerically. Two simulation settings are considered: repeated collisions in a periodic domain, and the interaction of a positive solitary wave with a train of negative polarity solitary waves of equal amplitude. In the first case, when the amplitudes are comparable, the larger ...

Added: October 8, 2026

Modulational Instability and Wave Dynamics in the Rotated Modified Gardner–Whitham Equation

Flamarion M. V., Pelinovsky E., Chaos, Solitons and Fractals 2026 Vol. 213 No. 2 Article 119245

This article concerns the study of modulational instability in the rotated-modified Gardner–Whitham (rmGW) equation. This model incorporates both quadratic and cubic nonlinearities, similarly to the Gardner equation, while also retaining the fully dispersive character of the Whitham equation together with a large-scale dispersive term analogous to that in the Ostrovsky equation. Using a classical multiple-scale asymptotic expansion, we ...

Added: October 8, 2026

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Люксембург А. А., УРСС, 2005.

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Added: October 7, 2026

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Teregulov T., Loubenets E. R., / Series Quantum Physics "arXiv". 2026. No. 2609.31472.

We develop a new three-party quantum secret-sharing (QSS) protocol based on a three-qubit W state. This protocol encodes the secret-sequence bits using X gates and employs randomly selected Hadamard operations and measurement bases to generate information and security-test rounds. We evaluate the efficiency of the proposed protocol and analyze its security against an internal adversary ...

Added: September 28, 2026

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Morales Martínez J. L., Segovia-Domínguez I., Quiros Rodríguez I. et al., Physica A: Statistical Mechanics and its Applications 2021 Vol. 565 Article 125611

Added: September 18, 2026

Multifractal Analysis of Monthly Precipitation in a Semi-Arid Region of Central Mexico: Guanajuato, 1981–2016

Morales Martínez J. L., Ortega Chávez V. M., Sosa Gómez G. et al., Water (Switzerland) 2026 Vol. 18 No. 8 Article 911

Added: September 18, 2026

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Shabanov N., Kuricheva O., Kurbatova J. et al., / Series Working Papers SSRN "Department of Economics Ca’ Foscari University of Venice". 2026.

The carbon balance of an ecosystem is the difference between Gross Primary Productivity (GPP) and Ecosystem Respiration (Reco) as expressed by Net Ecosystem Exchange (NEE). While remote sensing retrievals of GPP have reached maturity, Reco estimation remains underexplored and ultimately cast bias on NEE. Here we present an end-to-end multi-scale analysis of the mechanism of ...

Added: August 21, 2026

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Ponomarenko A., / Series Computer Science "arxiv.org". 2025.

This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...

Added: July 30, 2026

Growth in noncommutative algebras and entropy in derived categories

Piontkovski D., / Series arXiv "math". 2026.

A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...

Added: June 23, 2026

Multilinear nilalgebras and the Jacobian theorem

Piontkovski D., / Series arXiv "math". 2025.

If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...

Added: June 23, 2026

ML-based Fast Simulation of FARICH Responses

Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.

A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...

Added: May 19, 2026