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An approach to nonlinear dynamical modeling of interaction between conscious and automatic processes in the brain is proposed. Illustration of this approach on the nonlinear equation for the current density in the cortex is presented.…

Pattern Formation and Solitons · Physics 2007-05-23 E. A. Novikov

A neural network solving Grad-Shafranov equation constrained with measured magnetic signals to reconstruct magnetic equilibria in real time is developed. Database created to optimize the neural network's free parameters contain off-line…

M/EEG source localization is an open research issue. To solve it, it is important to have good knowledge of several physical parameters to build a reliable head operator. Amongst them, the value of the conductivity of the human skull has…

Methodology · Statistics 2017-01-06 Facundo Costa , Hadj Batatia , Thomas Oberlin , Jean-Yves Tourneret

Longitudinal magnetic resonance imaging data is used to model trajectories of change in brain regions of interest to identify areas susceptible to atrophy in those with neurodegenerative conditions like Alzheimer's disease. Most methods for…

Applications · Statistics 2024-07-25 Robert Zielinski , Kun Meng , Ani Eloyan

Reconstructing magnetizations from measurements of the generated magnetic potential is generally non-unique. The non-uniqueness still remains if one restricts the magnetization to those induced by an ambient magnetic dipole field (i.e., the…

Geophysics · Physics 2017-07-21 Christian Gerhards

Neural circuits can be reconstructed from brain images acquired by serial section electron microscopy. Image analysis has been performed by manual labor for half a century, and efforts at automation date back almost as far. Convolutional…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Kisuk Lee , Nicholas Turner , Thomas Macrina , Jingpeng Wu , Ran Lu , H. Sebastian Seung

Neural electromagnetic (EM) signals recorded non-invasively from individual human subjects vary in complexity and magnitude. Nonetheless, variation in neural activity has been difficult to quantify and interpret, due to complex, broad-band…

Neurons and Cognition · Quantitative Biology 2018-07-04 Trang-Anh Nghiem , Jean-Marc Lina , Matteo di Volo , Cristiano Capone , Alan C. Evans , Alain Destexhe , Jennifer S. Goldman

While early magnetic memory designs relied on magnetization switching by locally generated magnetic fields, key insights in condensed matter physics later suggested the possibility to do it electrically. In the 1990s, Slonczewzki and Berger…

Applied Physics · Physics 2024-11-01 Albert Fert , Ramamoorthy Ramesh , Vincent Garcia , Fèlix Casanova , Manuel Bibes

The central problem with understanding brain and mind is the neural code issue: understanding the matter of our brain as basis for the phenomena of our mind. The richness with which our mind represents our environment, the parsimony of…

Neurons and Cognition · Quantitative Biology 2018-11-06 Christoph von der Malsburg

How intelligence arises from the brain is a central problem in science. A crucial aspect of intelligence is dealing with uncertainty -- developing good predictions about one's environment, and converting these predictions into decisions.…

Neurons and Cognition · Quantitative Biology 2024-06-13 Max Dabagia , Daniel Mitropolsky , Christos H. Papadimitriou , Santosh S. Vempala

With the advances in high resolution neuroimaging, there has been a growing interest in the detection of functional brain connectivity. Complex network theory has been proposed as an attractive mathematical representation of functional…

Neural and Evolutionary Computing · Computer Science 2018-09-18 Arash Golibagh Mahyari , Selin Aviyente

We show that a spatially-dependent magnetic field can induce a persistent spin current in a spin-1/2 Heisenberg antiferromagnetic ring, proportional to the solid angle subtended by the magnetic field on a unit sphere. The result is a direct…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Schmeltzer , A. Saxena , A. R. Bishop , D. L. Smith

We compare and contrast magneto-transport oscillations in the fully quantum (single-electron coherent) and classical limits for a simple but illustrative model. In particular, we study the induced magnetization and spin current in a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Martin Y. Veillette , Cristina Bena , Leon Balents

The neural coding is yet to be discovered. The neuronal operational modes that arise with fixed inputs but with varying degrees of stimulation help to elucidate their coding properties. In neurons receiving {\it in vivo} stimulation, we…

Neurons and Cognition · Quantitative Biology 2025-11-05 Lindsey Knowles , Cesar Ceballos , Rodrigo Pena

We present a microscopic approach for the coupling of cortical activity, as resulting from proper dipole currents of pyramidal neurons, to the electromagnetic field in extracellular fluid in presence of diffusion and Ohmic conduction. As a…

Disordered Systems and Neural Networks · Physics 2012-09-04 Peter beim Graben , Serafim Rodrigues

In non-centrosymmetric materials, light can be rectified into two types of DC photocurrents, known as injection and shift currents, through the bulk photovoltaic effect. Recent theory has uncovered their deep relation with the two-state…

In this paper we present a computational model which decodes the spatio-temporal data from electro-physiological measurements of neuronal networks and reconstructs the network structure on a macroscopic domain, representing the connectivity…

Quantitative Methods · Quantitative Biology 2025-02-14 Ilya Auslender , Lorenzo Pavesi

Predicting measurement outcomes from an underlying structure often follows directly from fundamental physical principles. However, a fundamental challenge is posed when trying to solve the inverse problem of inferring the underlying…

Generation of perpendicular effective magnetic field or perpendicular spins ({\sigma}z) is central for the development of energy-efficient, scalable, and external-magnetic-field-free spintronic memory and computing technologies. Here, we…

Materials Science · Physics 2022-10-21 Qianbiao Liu , Lijun Zhu

Reservoir Computing is a machine learning approach that uses the rich repertoire of complex system dynamics for function approximation. Current approaches to reservoir computing use a network of coupled integrating neurons that require a…

Neural and Evolutionary Computing · Computer Science 2025-07-30 Alexander Yeung , Peter DelMastro , Arjun Karuvally , Hava Siegelmann , Edward Rietman , Hananel Hazan