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Neural-network models of high-level brain functions such as memory recall and reasoning often rely on the presence of stochasticity. The majority of these models assumes that each neuron in the functional network is equipped with its own…

Neurons and Cognition · Quantitative Biology 2022-05-17 Jakob Jordan , Mihai A. Petrovici , Oliver Breitwieser , Johannes Schemmel , Karlheinz Meier , Markus Diesmann , Tom Tetzlaff

Neuromorphic computing using spike-based learning has broad prospects in reducing computing power. Memristive neurons composed with two locally active memristors have been used to mimic the dynamical behaviors of biological neurons. In this…

Emerging Technologies · Computer Science 2020-04-14 Yeheng Bo , Peng Zhang , Ziqing Luo , Shuai Li , Juan Song , Xinjun Liu

Neuromorphic engineering makes use of mixed-signal analog and digital circuits to directly emulate the computational principles of biological brains. Such electronic systems offer a high degree of adaptability, robustness, and energy…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Loris Mendolia , Chenxi Wen , Elisabetta Chicca , Giacomo Indiveri , Rodolphe Sepulchre , Jean-Michel Redouté , Alessio Franci

Chronic diseases can greatly benefit from bioelectronic medicine approaches. Neuromorphic electronic circuits present ideal characteristics for the development of brain-inspired low-power implantable processing systems that can be…

Emerging Technologies · Computer Science 2021-02-22 Elisa Donati , Renate Krause , Giacomo Indiveri

We demonstrate numerically that a brief burst consisting of two to six spikes can propagate in a stable manner through a one-dimensional homogeneous feedforward chain of non-bursting neurons with excitatory synaptic connections. Our results…

Neurons and Cognition · Quantitative Biology 2009-11-13 Meng-Ru Li , Henry Greenside

We study the phenomenological model of ensemble of two FitzHugh-Nagumo neuron-like elements with symmetric excitatory couplings. The main advantage of proposed model is the new approach to model of coupling which is implemented by smooth…

Dynamical Systems · Mathematics 2018-12-05 Alexander G. Korotkov , Alexey O. Kazakov , Tatiana A. Levanova , Grigory V. Osipov

A spiking neuron ``computes'' by transforming a complex dynamical input into a train of action potentials, or spikes. The computation performed by the neuron can be formulated as dimensional reduction, or feature detection, followed by a…

Biological Physics · Physics 2007-05-23 Blaise Aguera y Arcas , Adrienne L. Fairhall , William Bialek

In this paper a novel neuro-fuzzy system is proposed where its learning is based on the creation of fuzzy relations by using new implication method without utilizing any exact mathematical techniques. Then, a simple memristor crossbar-based…

Artificial Intelligence · Computer Science 2011-03-08 Farnood Merrikh-Bayat , Saeed Bagheri-Shouraki

We investigate the phase response properties of the Hindmarsh-Rose model of neuronal bursting using burst phase response curves (BPRCs) computed with an infinitesimal perturbation approximation and by direct simulation of synaptic input.…

Dynamical Systems · Mathematics 2009-10-13 William Erik Sherwood , John Guckenheimer

We highlight that the robustness and tunability of a bursting model critically relies on currents that provide slow positive feedback to the membrane potential. Such currents have the ability of making the total conductance of the circuit…

Neurons and Cognition · Quantitative Biology 2018-01-29 Alessio Franci , Guillaume Drion , Rodolphe Sepulchre

Structure entails function and thus a structural description of the brain will help to understand its function and may provide insights into many properties of brain systems, from their robustness and recovery from damage, to their dynamics…

Neurons and Cognition · Quantitative Biology 2008-08-27 Marcus Kaiser , Robert Martin , Peter Andras , Malcolm P. Young

The error-backpropagation (backprop) algorithm remains the most common solution to the credit assignment problem in artificial neural networks. In neuroscience, it is unclear whether the brain could adopt a similar strategy to correctly…

Neurons and Cognition · Quantitative Biology 2022-10-25 Will Greedy , Heng Wei Zhu , Joseph Pemberton , Jack Mellor , Rui Ponte Costa

Robust information representation and its persistent maintenance are fundamental for higher cognitive functions. Existing models employ distinct neural mechanisms to separately address noise-resistant processing or information maintenance,…

Neurons and Cognition · Quantitative Biology 2025-08-19 Jie Su , Weiwei Wang , Zhaotian Gu , Dahui Wang , Tianyi Qian

Exploiting the specific structure of neuron conductance-based models, the paper investigates the mathematical modeling of neuronal bursting modulation. The proposed approach combines singularity theory and geometric singular perturbations…

Dynamical Systems · Mathematics 2013-11-28 Alessio Franci , Guillaume Drion , Rodolphe Sepulchre

The binding neuron model is inspired by numerical simulation of Hodgkin-Huxley-type point neuron, as well as by the leaky integrate-and-fire model. In the binding neuron, the trace of an input is remembered for a fixed period of time after…

Neurons and Cognition · Quantitative Biology 2011-07-20 Alexander K. Vidybida

Several analog and digital brain-inspired electronic systems have been recently proposed as dedicated solutions for fast simulations of spiking neural networks. While these architectures are useful for exploring the computational properties…

Emerging Technologies · Computer Science 2017-11-08 Elisabetta Chicca , Fabio Stefanini , Chiara Bartolozzi , Giacomo Indiveri

The means by which cortical neural networks are able to efficiently solve inference problems remains an open question in computational neuroscience. Recently, abstract models of Bayesian computation in neural circuits have been proposed,…

Neurons and Cognition · Quantitative Biology 2015-02-24 Dimitri Probst , Mihai A. Petrovici , Ilja Bytschok , Johannes Bill , Dejan Pecevski , Johannes Schemmel , Karlheinz Meier

Many neurons display bistability - coexistence of two firing modes such as bursting and tonic spiking or tonic spiking and silence. Bistability has been proposed to endow neurons with richer forms of information processing in general and to…

Neurons and Cognition · Quantitative Biology 2012-08-14 A. Dovzhenok , A. S. Kuznetsov

This work simulates the developmental process of cortical neurogenesis, initiating from a single stem cell and governed by gene regulatory rules derived from mouse single-cell transcriptomic data. The developmental process spontaneously…

Neural and Evolutionary Computing · Computer Science 2026-04-17 Duan Zhou

Carbon nanotubes are often seen as the only alternative technology to silicon transistors. While they are the most likely short-term one, other longer-term alternatives should be studied as well. While contemplating biological neurons as an…

Neurons and Cognition · Quantitative Biology 2007-05-23 Hugues Berry , Olivier Temam
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