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In the present paper the result of numerical simulations of the model based on the Hodgkin-Huxley formalism with bistability between hidden and rare attractors in the presence of noise are studied.

Chaotic Dynamics · Physics 2017-12-01 Nataliya Stankevich

The brain is a powerful tool used to achieve amazing feats. There have been several significant advances in neuroscience and artificial brain research in the past two decades. This article is a review of such advances, ranging from the…

Artificial Intelligence · Computer Science 2016-05-16 Gabriel Makdah

Nerves are frequently stretched during movement. We investigate here the effect of stretch on nerve excitability within the framework of the soliton theory. This thermodynamic theory for nerve pulse propagation relies on the presence of a…

Biological Physics · Physics 2022-11-24 Thomas Heimburg

Signals recorded from neurons with extracellular planar sensors have a wide range of waveforms and amplitudes. This variety is a result of different physical conditions affecting the ion currents through a cellular membrane. The…

We study spin chains submitted to disturbed kick trains described by classical dynamical processes. The spin chains are described by Heisenberg and Ising models. We consider decoherence, entanglement and relaxation processes induced by the…

Quantum Physics · Physics 2014-10-17 Lucile Aubourg , David Viennot

The manner in which signals propagate through dense granular systems in both space and time is not well understood. In order to learn more about this process, we carry out discrete element simulations of the system response to excitations…

Soft Condensed Matter · Physics 2008-05-15 L. Kondic , O. M. Dybenko , R. P. Behringer

Hub structure, characterized by a few highly interconnected nodes surrounded by a larger number of nodes with fewer connections, is a prominent topological feature of biological brains, contributing to efficient information transfer and…

Machine Learning · Computer Science 2023-07-06 Zhaoze Wang , Junsong Wang

A ubiquitous way that cells share information is by exchanging molecules. Yet, the fundamental ways that this information exchange is influenced by intracellular dynamics remain unclear. Here we use information theory to investigate a…

Biological Physics · Physics 2020-07-23 Amir Erez , Tommy A. Byrd , Michael Vennettilli , Andrew Mugler

We examine the dynamical evolution of the state of a neurone, with particular care to the non-equilibrium nature of the forces influencing its movement in state space. We combine non-equilibrium statistical mechanics and dynamical systems…

Neurons and Cognition · Quantitative Biology 2021-02-19 Dalton A R Sakthivadivel

Memristors have been suggested as neuromorphic computing elements. Spike-time dependent plasticity and the Hodgkin-Huxley model of the neuron have both been modelled effectively by memristor theory. The d.c. response of the memristor is a…

Emerging Technologies · Computer Science 2014-02-18 Deborah Gater , Attya Iqbal , Jeffrey Davey , Ella Gale

When inhibitory neurons constitute about 40% of neurons they could have an important antinociceptive role, as they would easily regulate the level of activity of other neurons. We consider a simple network of cortical spiking neurons with…

Neurons and Cognition · Quantitative Biology 2014-01-28 Fernando Montani , Emilia B. Deleglise , Osvaldo A. Rosso

Large quantities of data flow on the internet. When a user decides to help the spread of a piece of information (by retweeting, liking, posting content), most research works assumes she does so according to information's content,…

Social and Information Networks · Computer Science 2022-04-22 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

Mathematical models for the generation of the action potential can improve the understanding of physiological mechanisms that are consequence of the electrical activity in neurons. In such models, some equations involving empirically…

Neurons and Cognition · Quantitative Biology 2023-04-05 Lautaro Estienne

Background: Mathematical modeling approaches are becoming ever more established in clinical neuroscience. They provide insight that is key to understand complex interactions of network phenomena, in general, and interactions within the…

Neurons and Cognition · Quantitative Biology 2014-04-25 Markus A. Dahlem , Jürgen Kurths , Michel D. Ferrari , Kazuyuki Aihara , Marten Scheffer , Arne May

We present a recent theory for nerve pulse propagation and anesthesia and argue that both nerve activity and the action of anesthetics can be understood on the basis of simple physical laws. It was found experimentally that biological…

Biological Physics · Physics 2020-08-10 Thomas Heimburg

It has long been debated whether information in the brain is coded at the rate of neuronal spiking or at the precise timing of single spikes. Although this issue is essential to the understanding of neural signal processing, it is not…

Neurons and Cognition · Quantitative Biology 2014-02-17 Yasuhiro Mochizuk , Shigeru Shinomoto

Performance of a sensory-neural network developed for diagnosing of diseases is described. Information about patient's condition is provided by answers to the questionnaire. Questions correspond to sensors generating signals when patients…

Neural and Evolutionary Computing · Computer Science 2018-07-09 Igor Grabec , Eva Švegl , Mihael Sok

Mounting evidence shows that oscillatory activity is widespread in cell signaling. Here we review some of this recent evidence, focusing on both the molecular mechanisms that potentially underlie such dynamical behavior, and the potential…

Cell Behavior · Quantitative Biology 2022-04-15 Pablo Casani-Galdon , Jordi Garcia-Ojalvo

Most models of information diffusion online rely on the assumption that pieces of information spread independently from each other. However, several works pointed out the necessity of investigating the role of interactions in real-world…

Social and Information Networks · Computer Science 2022-09-19 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

Recent in vitro data show that neurons respond to input variance with varying sensitivities. Here, we demonstrate that Hodgkin-Huxley (HH) neurons can operate in two computational regimes, one that is more sensitive to input variance…

Neurons and Cognition · Quantitative Biology 2007-07-17 Brian Nils Lundstrom , Sungho Hong , Matthew H. Higgs , Adrienne L. Fairhall
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