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We provide an overview of the state-of-the-art for mathematical methods that are used to reconstruct brain activity from neurophysiological data. After a brief introduction on the mathematics of the forward problem, we discuss standard and…

Quantitative Methods · Quantitative Biology 2017-05-09 Alberto Sorrentino , Michele Piana

Contemporary quantum mechanical description of nature involves two processes. The first is a dynamical process governed by the equations of local quantum field theory. This process is local and deterministic, but it generates a structure…

Quantum Physics · Physics 2007-05-23 Henry P. Stapp

The ultimate goal of cognitive neuroscience is to understand the mechanistic neural processes underlying the functional organization of the brain. Key to this study is understanding structure of both the structural and functional…

Neurons and Cognition · Quantitative Biology 2022-02-10 Jeremie Fish , Alexander DeWitt , Abd AlRahman R. AlMomani , Paul J. Laurienti , Erik Bollt

Current induced switching in Co/Cu/Co trilayers is described in terms of ab-initio determined magnetic twisting energies and corresponding sheet resistances. In viewing the twisting energy as an energy flux the characteristic time thereof…

Materials Science · Physics 2009-11-10 P. Weinberger , A. Vernes , B. L. Gyorffy , L. Szunyogh

The interaction between excitation and inhibition is crucial for brain computation. To understand synaptic mechanisms underlying brain function, it is important to separate excitatory and inhibitory inputs to a target neuron. In the…

Neurons and Cognition · Quantitative Biology 2017-10-17 Songting Li , Xiaohui Zhang , Douglas Zhou , David Cai

The effects of temperature on various aspects of neural activity from single cell to neural circuit level have long been known. However, how temperature affects the system-level of activity typical of experiments using non-invasive imaging…

Neurons and Cognition · Quantitative Biology 2013-10-11 David Papo

This paper deals with the problem of inferring the signals and parameters that cause neural activity to occur. The ultimate challenge being to unveil brain's connectivity, here we focus on a microscopic vision of the problem, where single…

Computation · Statistics 2015-11-13 Pau Closas , Antoni Guillamon

The fundamental, powerful process of computation in the brain has been widely misunderstood. The paper [1] associates the general failure to build intelligent thinking machines with current reductionist principles of temporal coding and…

Neural and Evolutionary Computing · Computer Science 2012-10-09 Dorian Aur

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.…

Neurons and Cognition · Quantitative Biology 2013-10-08 Peter beim Graben , Serafim Rodrigues

The rectifying effect of radio-frequency (RF) current is highly sensitive in terms of the spatial spin distribution and dynamics. It emerged that an additional spin wave mode was stimulated by the direct-current (DC) current and that this…

Materials Science · Physics 2008-04-01 A. Yamaguchi , K. Motoi , H. Miyajima

The role of turbulence in current generation and self-excitation of magnetic fields has been studied in the geometry of a mechanically driven, spherical dynamo experiment, using a three dimensional numerical computation. A simple impeller…

Plasma Physics · Physics 2009-11-11 R. A. Bayliss , C. B. Forest , M. D. Nornberg , E. J. Spence , P. W. Terry

Statistical mechanics determines the abundance of different arrangements of matter depending on cost-benefit balances. Its formalism and phenomenology percolate throughout biological processes and set limits to effective computation. Under…

Neurons and Cognition · Quantitative Biology 2021-02-03 Luís F Seoane

We provide a mathematical analysis and a numerical framework for Lorentz force electrical conductivity imaging. Ultrasonic vibration of a tissue in the presence of a static magnetic field induces an electrical current by the Lorentz force.…

Analysis of PDEs · Mathematics 2014-01-13 Habib Ammari , Pol Grasland-Mongrain , Pierre Millien , Laurent Seppecher , Jin-Keun Seo

We show how the gravity, gauge, and matter fields are induced on dynamically localized brane world (domain wall, vortex etc.). Solitonic solutions localized on a curved brane in certain field theories in higher dimensions are given in terms…

High Energy Physics - Theory · Physics 2007-05-23 Keiichi Akama

The discovery that a spin polarized current can exert a large torque on a ferromagnet through a transfusion of spin angular momentum, offers a new way to control a magnetization by simple current injection, without the help of an applied…

A recurrent neural network with noisy input is studied analytically, on the basis of a Discrete Time Master Equation. The latter is derived from a biologically realizable learning rule for the weights of the connections. In a numerical…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen

The photon helicity may be mapped to a spin-1/2, whereby we put forward an intrinsic interaction between a polarized light beam as a ``photon spin current'' and a pure spin current in a semiconductor, which arises from the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2008-07-16 Jing Wang , Bang-Fen Zhu , Ren-Bao Liu

The meninges, located between the skull and brain, are composed of three membrane layers: the pia, the arachnoid, and the dura. Reconstruction of these layers can aid in studying volume differences between patients with neurodegenerative…

Image and Video Processing · Electrical Eng. & Systems 2023-04-14 Peiyu Duan , Yuan Xue , Shuo Han , Lianrui Zuo , Aaron Carass , Caitlyn Bernhard , Savannah Hays , Peter A. Calabresi , Susan M. Resnick , James S. Duncan , Jerry L. Prince

In recent years, a plethora of methods combining deep neural networks and partial differential equations have been developed. A widely known and popular example are physics-informed neural networks. They solve forward and inverse problems…

Optimization and Control · Mathematics 2022-07-04 Bastian Zapf , Johannes Haubner , Miroslav Kuchta , Geir Ringstad , Per Kristian Eide , Kent-Andre Mardal

In this paper we investigate the bosonic current induced by a brane and a magnetic flux running along the idealized cosmic string in a $(D+1)$-dimensional anti-de Sitter (AdS) background. We consider the brane is parallel to the AdS…

High Energy Physics - Theory · Physics 2024-03-08 W. Oliveira dos Santos , E. R. Bezerra de Mello
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