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Neurons in the nervous system convey information to higher brain regions by the generation of spike trains. An important question in the field of computational neuroscience is how these sensory neurons encode environmental information in a…

Neurons and Cognition · Quantitative Biology 2013-09-13 Alex Susemihl , Ron Meir , Manfred Opper

At the level of individual neurons, various coding properties can be inferred from the input-output relationship of a cell. For small inputs, this relation is captured by the phase-response curve (PRC), which measures the effect of a small…

Neurons and Cognition · Quantitative Biology 2026-01-14 Janina Hesse , Susanne Schreiber

This work aims at providing a mathematical and numerical framework for the analysis on the effects of pulsed electric fields on biological media. Biological tissues and cell suspensions are described as having a heteregeneous permittivity…

Analysis of PDEs · Mathematics 2015-04-03 Habib Ammari , Dehan Chen , Jun Zou

The coding properties of cells with different types of receptive fields have been studied for decades. ON-type neurons fire in response to positive fluctuations of the time-dependent stimulus, whereas OFF cells are driven by negative…

Neurons and Cognition · Quantitative Biology 2009-09-10 Eugenio Urdapilleta , Ines Samengo

Neural responses are highly variable, and some portion of this variability arises from fluctuations in modulatory factors that alter their gain, such as adaptation, attention, arousal, expected or actual reward, emotion, and local metabolic…

Neurons and Cognition · Quantitative Biology 2015-07-08 Neil C. Rabinowitz , Robbe L. T. Goris , Johannes Ballé , Eero P. Simoncelli

Synaptic plasticity is a key component of neuronal dynamics, describing the process by which the connections between neurons change in response to experiences. In this study, we extend a network model of $\theta$-neuron oscillators to…

Neurons and Cognition · Quantitative Biology 2024-08-01 Niamh Fennelly , Alannah Neff , Renaud Lambiotte , Andrew Keane , Áine Byrne

We develop a tree boosting algorithm for collider measurements of multiple Wilson coefficients in effective field theories describing phenomena beyond the standard model of particle physics. The design of the discriminant exploits per-event…

High Energy Physics - Phenomenology · Physics 2022-05-27 Suman Chatterjee , Stefan Rohshap , Robert Schöfbeck , Dennis Schwarz

Objective: Numerical modeling of electric fields induced by transcranial alternating current stimulation (tACS) is currently a part of the standard procedure to predict and understand neural response. Quasi-static approximation for electric…

Neurons are spatially extended structures that receive and process inputs on their dendrites. It is generally accepted that neuronal computations arise from the active integration of synaptic inputs along a dendrite between the input…

Neurons and Cognition · Quantitative Biology 2013-09-11 Willem A. M. Wybo , Klaus M. Stiefel , Benjamin Torben-Nielsen

We use the annealed formulation of complex networks to study the dynamical behavior of disease spreading on both static and adaptive networked systems. This unifying approach relies on the annealed adjacency matrix, representing one network…

Physics and Society · Physics 2010-11-09 Beniamino Guerra , Jesus Gomez-Gardenes

We present a biophysical approach for the coupling of neural network activity as resulting from proper dipole currents of cortical pyramidal neurons to the electric field in extracellular fluid. Starting from a reduced threecompartment…

Neurons and Cognition · Quantitative Biology 2013-01-10 Peter beim Graben , Serafim Rodrigues

Recent technological advances have enabled the recording of neurons in intact circuits with a high spatial and temporal resolution, creating the need for modeling with the same precision. In particular, the development of ultra-fast…

Neurons and Cognition · Quantitative Biology 2023-11-30 Claire Guerrier , Tristan Dellazizzo Toth , Nicolas Galtier , Kurt Haas

Replica-mean-field models have been proposed to decipher the activity of neural networks via a multiply-and-conquer approach. In this approach, one considers limit networks made of infinitely many replicas with the same basic neural…

Probability · Mathematics 2020-04-15 François Baccelli , Thibaud Taillefumier

Neural noise sets a limit to information transmission in sensory systems. In several areas, the spiking response (to a repeated stimulus) has shown a higher degree of regularity than predicted by a Poisson process. However, a simple model…

Neurons and Cognition · Quantitative Biology 2018-01-08 Ulisse Ferrari , Stephane Deny , Olivier Marre , Thierry Mora

Network dynamics with point-process-based interactions are of paramount modeling interest. Unfortunately, most relevant dynamics involve complex graphs of interactions for which an exact computational treatment is impossible. To circumvent…

Probability · Mathematics 2022-11-22 François Baccelli , Michel Davydov , Thibaud Taillefumier

Recent deep neural networks (DNNs), such as diffusion models [1], have faced high computational demands. Thus, spiking neural networks (SNNs) have attracted lots of attention as energy-efficient neural networks. However, conventional…

Neural and Evolutionary Computing · Computer Science 2024-09-04 Dayena Jeong , Jaewoo Park , Jeonghee Jo , Jongkil Park , Jaewook Kim , Hyun Jae Jang , Suyoun Lee , Seongsik Park

A fundamental problem in neuroscience is to characterize the dynamics of spiking from the neurons in a circuit that is involved in learning about a stimulus or a contingency. A key limitation of current methods to analyze neural spiking…

Methodology · Statistics 2017-09-29 Yingzhuo Zhang , Noa Malem-Shinitski , Stephen A Allsop , Kay Tye , Demba Ba

The theoretical basis of neuronal coding, associated with short term degradation in synaptic transmission, is a matter of debate in the literature. In fact, electrophysiological signals are commonly characterized as inversely proportional…

Neurons and Cognition · Quantitative Biology 2017-11-21 A. J. da Silva , S. Floquet , D. O. C. Santos

We consider the problem of ignition of propagating waves in one-dimensional bistable or excitable systems by an instantaneous spatially extended stimulus. Earlier we proposed a method (Idris and Biktashev, PRL, vol 101, 2008, 244101) for…

Pattern Formation and Solitons · Physics 2015-10-28 B. Bezekci , I. Idris , R. D. Simitev , V. N. Biktashev

Finite Element Modeling (FEM) has been widely used to model the electric field distribution, to study the interaction between stimulation electrodes and neural tissue. However, due to the insufficient computational capability to represent…

Neurons and Cognition · Quantitative Biology 2019-08-22 Jiahui Wang , Hao Wanga , Xin Yuan Thow , Nitish V. Thakor
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