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Probabilistic inference from real-time input data is becoming increasingly popular and may be one of the potential pathways at enabling cognitive intelligence. As a matter of fact, preliminary research has revealed that stochastic…

Emerging Technologies · Computer Science 2017-09-13 Yong Shim , Shuhan Chen , Abhronil Sengupta , Kaushik Roy

There has been a strong push recently to examine biological scale simulations of neuromorphic algorithms to achieve stronger inference capabilities. This paper presents a set of piecewise linear spiking neuron models, which can reproduce…

Machine Learning · Computer Science 2012-12-18 Hamid Soleimani , Arash Ahmadi , Mohammad Bavandpour

In this correspondence information theoretical tools are used to investigate the statistical properties of modeled cochlear nucleus globular bushy cell spike trains. The firing patterns are obtained from a simulation software that generates…

Neurons and Cognition · Quantitative Biology 2012-04-25 Andrea Grigorescu , Marek Rudnicki , Michael Isik , Werner Hemmert , Stefano Rini

In various neurological disorders spatio-temporal excitation patterns constitute examples of excitable behavior emerging from pathological pathways. During migraine, seizure, and stroke an initially localized pathological state can…

Pattern Formation and Solitons · Physics 2007-09-27 Markus A. Dahlem , Felix M. Schneider , Eckehard Schoell

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…

The Fitzhugh-Nagumo neuronal model is used to explore the influence of the electric field on thermosensitive neurons' dynamics. This study investigates how the electric field affects polarization modulation in cell media induced by changes…

Chaotic Dynamics · Physics 2025-02-13 Ediline L. F. Nguessap , Fernando F. Ferreira , Antonio C. Roque

In this work, a three-dimensional multicomponent reaction-diffusion model has been developed, combining excitable-system dynamics with diffusion processes and sharing conceptual features with the FitzHugh-Nagumo model. Designed to capture…

Machine Learning · Computer Science 2025-10-29 Anastasia-Maria Leventi-Peetz , Jörg-Volker Peetz , Kai Weber , Nikolaos Zacharis

We present an on-chip trainable neuron circuit. Our proposed circuit suits bio-inspired spike-based time-dependent data computation for training spiking neural networks (SNN). The thresholds of neurons can be increased or decreased…

Neural and Evolutionary Computing · Computer Science 2024-03-07 Beyza Zeynep Ucpinar , Mustafa Altay Karamuftuoglu , Sasan Razmkhah , Massoud Pedram

Artificial neural networks can harness stochasticity in multiple ways to enable a vast class of computationally powerful models. Electronic implementation of such stochastic networks is currently limited to addition of algorithmic noise to…

Emerging Technologies · Computer Science 2018-03-30 Abhinav Parihar , Matthew Jerry , Suman Datta , Arijit Raychowdhury

Serotonergic, noradrenergic and dopaminergic brainstem (including midbrain) neurons, often exhibit spontaneous and fairly regular spiking with frequencies of order a few Hz, though dopaminergic and noradrenergic neurons only exhibit such…

Neurons and Cognition · Quantitative Biology 2017-04-18 Henry C. Tuckwell , Ying Zhou , Nicholas J. Penington

In this paper, we present circuit solutions based on a switch element with the S-type I-V characteristic implemented using the classic FitzHugh-Nagumo and FitzHugh-Rinzel models. Using the proposed simplified electrical circuits allows the…

Applied Physics · Physics 2019-08-26 Petr Boriskov , Andrei Velichko

In this paper, the transport phenomena of synaptic electric impulses are considered. The FitzHugh--Nagumo and FitzHugh--Rinzel models appear mathematically appropriate for evaluating these scientific issues. Moreover, applications of such…

Mathematical Physics · Physics 2023-06-13 Monica De Angelis

We present a simple low-cost electronic circuit that is able to show two different dynamical regimens with oscillations of voltages and with constant values of them. This device is designed as a negative feedback three-node network inspired…

Chaotic Dynamics · Physics 2019-01-30 Daniela N. Rim , Pablo Cremades , Pablo Kaluza

Neuronal voltage dynamics of regularly firing neurons typically has one stable attractor: either a fixed point (like in the subthreshold regime) or a limit cycle that defines the tonic firing of action potentials (in the suprathreshold…

Neurons and Cognition · Quantitative Biology 2021-01-20 Jan-Hendrik Schleimer , Janina Hesse , Susana Andrea Contreras , Susanne Schreiber

The seemingly stochastic transient dynamics of neocortical circuits observed in vivo have been hypothesized to represent a signature of ongoing stochastic inference. In vitro neurons, on the other hand, exhibit a highly deterministic…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Johannes Bill , Ilja Bytschok , Johannes Schemmel , Karlheinz Meier

In this paper, we study an excitable, biophysical system that supports wave propagation of nerve impulses. We consider a slow-fast, FitzHugh-Rinzel neuron model where only the membrane voltage interacts diffusively, giving rise to the…

Chaotic Dynamics · Physics 2021-11-03 A. Mondal , A. Mondal , S. Kumar Sharma , R. Kumar Upadhyay , C. G. Antonopoulos

A fundamental characteristic of excitable systems is their ability to exhibit distinct subthreshold and suprathreshold behaviors. Precisely quantifying this distinction requires a proper definition of the threshold, which has remained…

Optimization and Control · Mathematics 2025-04-04 Rodolphe Sepulchre , Guanchun Tong

A general FitzHugh-Rinzel model, able to describe several neuronal phenomena, is considered. Linear stability and Hopf bifurcations are investigated by means of the spectral equation for the ternary autonomous dynamical system and the…

Chaotic Dynamics · Physics 2025-03-04 Monica De Angelis

Neurons in the nervous system are submitted to distinct sources of noise, such as ionic-channel and synaptic noise, which introduces variability in their responses to repeated presentations of identical stimuli. This motivates the use of…

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena