Metric Classification of Traumatic Brain Injury Epileptiform Activity from Electroencephalography Data

Prediction algorithm of Epilepsy Seizures and Sleep Spindles in electroencephalography (EEG) data is studied in this article. EEG data was measured in rats with Post-Traumatic Epilepsy (PTE) before and after Traumatic Brain Injury (TBI). Experts manually partitioned records into two classes: one, which refers to epileptic activity - Epilepsy Seizures, and second class, which refers to normal behavior of rats - Sleep Spindles (SS). Proposed algorithm was trained and tested on the collected data, which contained EEG features, previously extracted by detection algorithm. Feature importance was evaluated, and logistic regression model was built. Cross validation results were 79% Area Under Curve (AUC) for the best model.Authors would like to express gratitude to Ilya Komoltsev and Ivan Kershner for providing the dataset. The research was supported by the Russian Scientific Foundation, project No. 16-11-10258

Field theoretic renormalization group for a nonlinear diffusion equation

The paper is an attempt to relate two vast areas of the applicability of the renormalization group (RG): field theoretic models and partial differential equations. It is shown that the Green function of a nonlinear diffusion equation can be viewed as a correlation function in a field-theoretic model with an ultralocal term, concentrated at a spacetime point. This field theory is shown to be multiplicatively renormalizable, so that the RG equations can be derived in a standard fashion, and the RG functions (the $\beta$ function and anomalous dimensions) can be calculated within a controlled approximation. A direct calculation carried out in the two-loop approximation for the nonlinearity of the form $\phi^{\alpha}$, where $\alpha>1$ is not necessarily integer, confirms the validity and self-consistency of the approach. The explicit self-similar solution is obtained for the infrared asymptotic region, with exactly known exponents; its range of validity and relationship to previous treatments are briefly discussed.Comment: 8 pages, 2 figures, RevTe

Comparison of some Reduced Representation Approximations

In the field of numerical approximation, specialists considering highly complex problems have recently proposed various ways to simplify their underlying problems. In this field, depending on the problem they were tackling and the community that are at work, different approaches have been developed with some success and have even gained some maturity, the applications can now be applied to information analysis or for numerical simulation of PDE's. At this point, a crossed analysis and effort for understanding the similarities and the differences between these approaches that found their starting points in different backgrounds is of interest. It is the purpose of this paper to contribute to this effort by comparing some constructive reduced representations of complex functions. We present here in full details the Adaptive Cross Approximation (ACA) and the Empirical Interpolation Method (EIM) together with other approaches that enter in the same category

Quantum Theory in Accelerated Frames of Reference

The observational basis of quantum theory in accelerated systems is studied. The extension of Lorentz invariance to accelerated systems via the hypothesis of locality is discussed and the limitations of this hypothesis are pointed out. The nonlocal theory of accelerated observers is briefly described. Moreover, the main observational aspects of Dirac's equation in noninertial frames of reference are presented. The Galilean invariance of nonrelativistic quantum mechanics and the mass superselection rule are examined in the light of the invariance of physical laws under inhomogeneous Lorentz transformations.Comment: 25 pages, no figures, contribution to Springer Lecture Notes in Physics (Proc. SR 2005, Potsdam, Germany, February 13 - 18, 2005

Spin-gravity coupling and gravity-induced quantum phases

External gravitational fields induce phase factors in the wave functions of particles. The phases are exact to first order in the background gravitational field, are manifestly covariant and gauge invariant and provide a useful tool for the study of spin-gravity coupling and of the optics of particles in gravitational or inertial fields. We discuss the role that spin-gravity coupling plays in particular problems.Comment: 18 pages, 1 figur

New Low-Temperature Thermistors InSb:Mn for Nuclear Cryogenic Detectors

InSb doped with Mn offers an excellent integrated cryogenic detector for low-energy X-ray and beta spectroscopy. It combines good properties from both spectroscopic point of view (high atomic number) and low-temperature (LT) thermometry. The thermosensitivity is superiour over that of the most popular another bulk thermistor from neutron-transmutation-doped (NTD) Ge and its application is not restricted by the severe technological aspects. The results of (magneto)resistivity versus temperature R(T) and magnetic susceptibility X(T) measurements, performed to clear up an unusial behaviour of conductivity at mK temperatures, are presented

H.F. INSTABILITIES IN THE HETEROGENEOUS PLASMA OF A PENNING DISCHARGE ION SOURCE WITH A HOLLOW CATHODE

No abstract availabl