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Noise induced excitability is studied in type I and II Morris-Lecar neurons subject to constant sub threshold input, where fluctuations arise from sodium and potassium ion channels. Ion channels open and close randomly, creating current…

Cell Behavior · Quantitative Biology 2014-09-08 Jay Newby

Neurons are the central biological objects in understanding how the brain works. The famous Hodgkin-Huxley model, which describes how action potentials of a neuron are initiated and propagated, consists of four coupled nonlinear…

Neurons and Cognition · Quantitative Biology 2010-02-01 William Hanan , Dhagash Mehta , Guillaume Moroz , Sepanda Pouryahya

The dynamics of excitons in a one-dimensional ensemble with partial spatial order are studied. During optical excitation, cold Rydberg atoms spontaneously organize into regular spatial arrangements due to their mutual interactions. This…

Atomic Physics · Physics 2013-11-01 S. Bettelli , D. Maxwell , T. Fernholz , C. S. Adams , I. Lesanovsky , C. Ates

The slow dynamics of nearly stationary patterns in a FitzHugh-Nagumo model are studied using a phase dynamics approach. A Cross-Newell phase equation describing slow and weak modulations of periodic stationary solutions is derived. The…

Pattern Formation and Solitons · Physics 2009-10-31 Aric Hagberg , Ehud Meron , Thierry Passot

Dynamics of a coarse-grained model for the room-temperature ionic liquid, 1-ethyl-3-methylimidazolium hexafluorophosphate, couched in the united-atom site representation are studied via molecular dynamics simulations. The dynamically…

Soft Condensed Matter · Physics 2017-03-15 Daun Jeong , M. Y. Choi , Hyung. J. Kim , YounJoon Jung

In this work we study the detection of weak stimuli by spiking neurons in the presence of certain level of noisy background neural activity. Our study has focused in the realistic assumption that the synapses in the network present…

Neurons and Cognition · Quantitative Biology 2009-06-04 Jorge F. Mejias , Joaquin J. Torres

Persistent activity is postulated to drive neural network plasticity and learning. To investigate its underlying cellular mechanisms, we developed a biophysically tractable model that explains the emergence, sustenance, and eventual…

Neurons and Cognition · Quantitative Biology 2009-11-13 Vladislav Volman , Richard Gerkin , Pak-Ming Lau , Eshel Ben-Jacob , Guo-Qiang Bi

In embryogenesis, epithelial cells, acting as individual entities or as coordinated aggregates in a tissue, exhibit strong coupling between chemical signalling and mechanical responses to internally or externally applied stresses.…

Tissues and Organs · Quantitative Biology 2023-06-27 Katerina Kaouri , Paul E. Méndez , Ricardo Ruiz-Baier

The studies of collective oscillations induced by higher-order interactions point out the necessity of group effect in coupling modelization. As yet the related advances are mainly concentrated on nonlinear coupling patterns and cannot be…

Adaptation and Self-Organizing Systems · Physics 2022-03-31 Cong Liu , Chong-Yang Wang , Zhi-Xi Wu , Jian-Yue Guan

Self-sustained neural activity in the absence of ongoing external input is a fundamental feature of nervous system dynamics, yet the conditions under which it can emerge in biophysically grounded network models remain incompletely…

Neural and Evolutionary Computing · Computer Science 2026-04-16 İhsan Ertuğrul Karakaş , Özden Özel , İlkay Ulusoy , Orhan Murat Koçak

Cellular processes do not follow deterministic rules; even in identical environments genetically identical cells can make random choices leading to different phenotypes. This randomness originates from fluctuations present in the…

Molecular Networks · Quantitative Biology 2016-02-02 Elijah Roberts , Shay Be'er , Chris Bohrer , Rati Sharma , Michael Assaf

Neuronal excitability is the phenomena that describes action potential generation due to a stimulus input. Commonly, neuronal excitability is divided into two classes: Type I and Type II, both having different properties that affect…

Neurons and Cognition · Quantitative Biology 2020-11-03 Jantine A. C. Broek , Guillaume Drion

As few real systems comprise indistinguishable units, diversity is a hallmark of nature. Diversity among interacting units shapes properties of collective behavior such as synchronization and information transmission. However, the benefits…

Neurons and Cognition · Quantitative Biology 2016-05-06 Leonardo L. Gollo , Mauro Copelli , James A. Roberts

Kinetics of a balanced network of neurons with a sparse grid of synaptic links is well representable by the stochastic dynamics of a generic neuron subject to an effective shot noise. The rate of delta-pulses of the noise is determined…

Neurons and Cognition · Quantitative Biology 2025-10-31 Maria V. Ageeva , Denis S. Goldobin

Using methods of numerical simulation, we demonstrate the constructive role of memristive coupling in the context of the travelling wave formation and robustness in an ensemble of excitable oscillators described by the FitzHugh-Nagumo…

Adaptation and Self-Organizing Systems · Physics 2024-07-01 Ivan A. Korneev , Ibadulla R. Ramazanov , Andrei V. Slepnev , Tatiana E. Vadivasova , Vladimir V. Semenov

Brain operates at remarkably low signal power. It has been noted that noise may play a constructive role in neural networks and facilitate the subthreshold signaling. The process of spiking pattern excitation at the characteristic neuronal…

Neurons and Cognition · Quantitative Biology 2024-08-12 Mariia Sorokina

The dynamics of memristive device in response to neuron-like signals and coupling electronic neurons via memristive device has been investigated theoretically and experimentally. The simplest experimental system consists of electronic…

In the bistable regime of the FitzHugh-Nagumo model of reaction-diffusion systems, spatially homogeneous patterns may be nonlinearly unstable to the formation of compact ``localized states." The formation of space-filling patterns from…

Condensed Matter · Physics 2009-10-28 Raymond E. Goldstein , David J. Muraki , Dean M. Petrich

Many phenomena in nature are described by excitable systems driven by colored noise. The temporal correlations in the fluctuations hinder an analytical treatment. We here present a general method of reduction to a white-noise system,…

Statistical Mechanics · Physics 2015-11-25 Jannis Schuecker , Markus Diesmann , Moritz Helias

We explore a biomimetic model that simulates a cell, with the internal cytoplasm represented by a two-dimensional circular domain and the external cortex by a surrounding ring, both modeled using FitzHugh-Nagumo systems. The external ring…

Pattern Formation and Solitons · Physics 2025-01-08 Daniel Cebrián-Lacasa , Marcin Leda , Andrew B. Goryachev , Lendert Gelens