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We analyze global stability properties of birhythmicity in a self-sustained system with random excitations. The model is a multi-limit cycles variation of the van der Pol oscillatorintroduced to analyze enzymatic substrate reactions in…

Chaotic Dynamics · Physics 2012-12-04 R. Yamapi , G. Filatrella , M. A. Aziz-Aloui

We study a stochastic system of interacting neurons and its metastable properties. The system consists of $N$ neurons, each spiking randomly with rate depending on its membrane potential. At its spiking time, the neuron potential is reset…

Probability · Mathematics 2020-12-09 Eva Löcherbach , Pierre Monmarché

In extending the conventional dynamic models, we consider a simple model to account for the environment fluctuations of particle atoms in a protein system and derive the elastic incoherent structure factor (EISF) and the incoherent…

Soft Condensed Matter · Physics 2009-11-07 D. J. Bicout

We study a problem of designing ``robust'' external excitations for control and synchronization of an assembly of homotypic harmonic oscillators representing so-called theta neurons. The model of theta neurons (Theta model) captures, in…

Optimization and Control · Mathematics 2024-09-23 Roman Chertovskih , Nikolay Pogodaev , Maxim Staritsyn , Joaquim Da Silva Sewane , Antonio Pedro Aguiar

Many neuronal systems and models display a certain class of mixed mode oscillations (MMOs) consisting of periods of small amplitude oscillations interspersed with spikes. Various models with different underlying mechanisms have been…

Adaptation and Self-Organizing Systems · Physics 2015-03-13 Peter Borowski , Rachel Kuske , Yue-Xian Li , Juan Luis Cabrera

This paper investigates the efficacy of high frequency switched-mode neural stimulation. Instead of using a constant stimulation amplitude, the stimulus is switched on and off repeatedly with a high frequency (up to 100kHz) duty cycled…

Neurons and Cognition · Quantitative Biology 2014-06-30 M. N. van Dongen , F. E. Hoebeek , S. K. E. Koekkoek , C. I. De Zeeuw , W. A. Serdijn

Non-equilibrium states generated by ultrafast laser pulses are characterized by specific phenomena that are not accessible in static measurements. Previous time- and angle-resolved photoemission spectroscopy (TARPES) studies on rare-earth…

Collective oscillations and their suppression by external stimulation are analyzed in a large-scale neural network consisting of two interacting populations of excitatory and inhibitory quadratic integrate-and-fire neurons. In the limit of…

Neurons and Cognition · Quantitative Biology 2021-07-14 Kestutis Pyragas , Augustinas P. Fedaravičius , Tatjana Pyragienė

Inter and intra-cellular signaling are essential for individual cells to execute various physiological tasks and accurately respond to changes in their environment. Signaling is carried out via diffusible molecules, the transport of which…

Soft Condensed Matter · Physics 2020-10-13 Sumantra Sarkar , Sandeep Choubey

Signaling in enzymatic networks is typically triggered by environmental fluctuations, resulting in a series of stochastic chemical reactions, leading to corruption of the signal by noise. For example, information flow is initiated by…

Statistical Mechanics · Physics 2017-07-19 Himadri S. Samanta , Michael Hinczewski , D. Thirumalai

We investigate the performance of sparsely-connected networks of integrate-and-fire neurons for ultra-short term information processing. We exploit the fact that the population activity of networks with balanced excitation and inhibition…

Neurons and Cognition · Quantitative Biology 2007-05-23 Julien Mayor , Wulfram Gerstner

A detailed study of the Inelastic Neutron Scattering (INS) spectra of the high-$T_c$ cuprates based on the Fermi liquid (FL) picture is given. We focus on the issue of the transformation between the commensurate and incommensurate (IC)…

Superconductivity · Physics 2007-05-23 K. -K. Voo , H. -Y. Chen , W. C. Wu

Control of the cytoskeleton and mechanical contacts with the extracellular environment are essential component of motility in eukaryotic cells. In the absence of signals, cells continuously rebuild the cytoskeleton and periodically extend…

Cell Behavior · Quantitative Biology 2013-09-27 Varunyu Khamviwath , Hans G. Othmer

Using many-body perturbation theory and density functional perturbation theory, we study the vibrational spectra of the internal stretch (IS) mode of CO on Pd(111) for the bridge and hollow adsorption structures that are experimentally…

Materials Science · Physics 2023-07-18 Raúl Bombín , Alberto S. Muzas , Dino Novko , J. Iñaki Juaristi , Maite Alducin

Coherent oscillatory activity can arise spontaneously as a result of increased coupling in a system of excitable and passive cells, each being quiescent in isolation. This can potentially explain the appearance of spontaneous rhythmic…

Disordered Systems and Neural Networks · Physics 2012-12-17 Jinshan Xu , Rajeev Singh , Nicolas Garnier , Sitabhra Sinha , Alain Pumir

Correlations in sensory neural networks have both extrinsic and intrinsic origins. Extrinsic or stimulus correlations arise from shared inputs to the network, and thus depend strongly on the stimulus ensemble. Intrinsic or noise…

Neurons and Cognition · Quantitative Biology 2018-11-05 Ulisse Ferrari , Stephane Deny , Matthew Chalk , Gasper Tkacik , Olivier Marre , Thierry Mora

A system of globally coupled phase oscillators subject to an external input is considered as a simple model of neural circuits coding external stimulus. The information coding efficiency of the system in its asynchronous state is quantified…

Disordered Systems and Neural Networks · Physics 2008-06-23 Hiroya Nakao

Phosphorelays are a class of signaling mechanisms used by cells to respond to changes in their environment. Phosphorelays (of which two-component systems constitute a special case) are particularly abundant in prokaryotes and have been…

Molecular Networks · Quantitative Biology 2011-09-26 Michael Knudsen , Elisenda Feliu , Carsten Wiuf

We report the first measurements of the intrinsic strain fluctuations of living cells using a recently-developed tracer correlation technique along with a theoretical framework for interpreting such data in heterogeneous media with…

Soft Condensed Matter · Physics 2009-11-10 A. W. C. Lau , B. D. Hoffman , A. Davies , J. C. Crocker , T. C. Lubensky

Animal acoustic communication often exhibits temporal dependence, with calls triggering or suppressing subsequent calls within and across call types, individuals, or species. While Hawkes processes provide a natural framework for modeling…