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The Gauss neuron is a nonlinear signal converter, whose transfer function (TF) is described by the derivative of some sigmoidal dependence. A superconducting Gauss neuron can be implemented as a two-junction interferometer shunted symmetrically by an additional inductance. This work analyzes three cases of asymmetry that can occur in the experimental samples of Gauss neurons, that is, unequal critical currents of the interferometer's Josephson junctions, asymmetric inductive shunting, and asymmetry of the input signal supply. We illustrate the modifications in equations and the shape of the TF compared to the symmetric case. The analysis performed provides an explanation for the key features observed in a previously conducted experiment.
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http://dx.doi.org/10.3762/bjnano.16.85 | DOI Listing |
Phys Rev E
July 2025
Northwestern Polytechnical University, School of Mathematics and Statistics, Xi'an 710072, China.
Systems influenced by Gaussian white noise, Poisson white noise, and periodic excitation are common in many engineering and scientific applications, making accurate response prediction essential. Poisson noise introduces impulsive jumps, while high-frequency from the periodic excitation adds complexity, highlighting the need for a new approach to address these combined challenges. In this paper, we propose a novel deep learning framework, the radial-basis-function neural network (RBF-NN), specifically designed to resolve high-frequency oscillatory solutions in the transient probability density function (PDF) of systems under combined Gaussian white noise, Poisson white noise, and periodic excitation.
View Article and Find Full Text PDFBeilstein J Nanotechnol
July 2025
Osipyan Institute of Solid State Physics RAS, Chernogolovka, Moscow District, 2 Academician Osipyan str., 142432, Russian Federation.
The Gauss neuron is a nonlinear signal converter, whose transfer function (TF) is described by the derivative of some sigmoidal dependence. A superconducting Gauss neuron can be implemented as a two-junction interferometer shunted symmetrically by an additional inductance. This work analyzes three cases of asymmetry that can occur in the experimental samples of Gauss neurons, that is, unequal critical currents of the interferometer's Josephson junctions, asymmetric inductive shunting, and asymmetry of the input signal supply.
View Article and Find Full Text PDFPLoS Comput Biol
June 2025
Computational Neuroscience Unit, Okinawa Institute of Science and Technology, Okinawa, Japan.
Electrodiffusion plays a crucial role in modulating ion channel conductivity and neural firing dynamics within the nervous system. However, the relationship among ion electrodiffusion, concentration changes, as well as channel conductivity and neuronal discharge behaviors is not quite clear. In this work, we introduce a novel Gauss-Nernst-Planck (GNP) approach to investigate how electrodiffusive dynamics influence ion channel rectification and neural activity.
View Article and Find Full Text PDFBrain Commun
April 2024
Department of Neurology, University Hospital Würzburg, 97080 Würzburg, Germany.
Acral burning pain triggered by fever, thermal hyposensitivity and skin denervation are hallmarks of small fibre neuropathy in Fabry disease, a life-threatening X-linked lysosomal storage disorder. Variants in the gene encoding alpha-galactosidase A may lead to impaired enzyme activity with cellular accumulation of globotriaosylceramide. To study the underlying pathomechanism of Fabry-associated small fibre neuropathy, we generated a neuronal disease model using patient-derived induced pluripotent stem cells from three Fabry patients and one healthy control.
View Article and Find Full Text PDFAntioxidants (Basel)
January 2022
MRC Harwell Institute, Harwell Campus, Oxfordshire OX11 0RD, UK.
One of the most important characteristics of the brain compared to other organs is its elevated metabolic demand. Consequently, neurons consume high quantities of oxygen, generating significant amounts of reactive oxygen species (ROS) as a by-product. These potentially toxic molecules cause oxidative stress (OS) and are associated with many disorders of the nervous system, where pathological processes such as aberrant protein oxidation can ultimately lead to cellular dysfunction and death.
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