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The relationship between a neuron's complex inputs and its spiking output defines the neuron's coding strategy. This is frequently and effectively modeled phenomenologically by one or more linear filters that extract the components of the…

Neurons and Cognition · Quantitative Biology 2011-11-02 Michael Famulare , Adrienne L. Fairhall

Neural synchrony in the brain at rest is usually variable and intermittent, thus intervals of predominantly synchronized activity are interrupted by intervals of desynchronized activity. Prior studies suggested that this temporal structure…

Quantitative Methods · Quantitative Biology 2021-04-26 Joel Zirkle , Leonid L Rubchinsky

Spiking neural networks (SNN) are artificial computational models that have been inspired by the brain's ability to naturally encode and process information in the time domain. The added temporal dimension is believed to render them more…

Emerging Technologies · Computer Science 2019-05-29 S. R. Nandakumar , Irem Boybat , Manuel Le Gallo , Evangelos Eleftheriou , Abu Sebastian , Bipin Rajendran

With conventional silicon-based computing approaching its physical and efficiency limits, biocomputing emerges as a promising alternative. This approach utilises biomaterials such as DNA and neurons as an interesting alternative to data…

Emerging Technologies · Computer Science 2024-08-15 Giulio Basso , Reinhold Scherer , Michael Taynnan Barros

Deep feedforward and recurrent rate-based neural networks have become successful functional models of the brain, but they neglect obvious biological details such as spikes and Dale's law. Here we argue that these details are crucial in…

Neurons and Cognition · Quantitative Biology 2023-12-29 William F. Podlaski , Christian K. Machens

Recently, Wang and Xu [ Appl. Math. Lett. 78 (2018) 105-111] studied thresholds and bi-stability in virus-immune dynamics. In this paper, we show there also exist backward bifurcation and saddle node bifurcation in this model. Our…

Populations and Evolution · Quantitative Biology 2022-01-03 Tengfei Wang , Shaoli Wang , Fei Xu

A generic saddle-node bifurcation is proposed to modelize fast transitions of finite amplitude arising in geophysical (and perhaps other) contexts, when they result from the intrinsic dynamics of the system. The fast transition is…

Chaotic Dynamics · Physics 2012-09-10 Yves Pomeau , Martine Le Berre

Single Flux Quantum (SFQ) technology represents a groundbreaking advancement in computational efficiency and ultra-high-speed neuromorphic processing. The key features of SFQ technology, particularly data representation, transmission, and…

Emerging Technologies · Computer Science 2024-03-06 Mustafa Altay Karamuftuoglu , Beyza Zeynep Ucpinar , Sasan Razmkhah , Mehdi Kamal , Massoud Pedram

In this paper, we report the bifurcations of mode-locked periodic orbits occurring in maps of three or higher dimensions. The `torus' is represented by a closed loop in discrete time, which contains stable and unstable cycles of the same…

Dynamical Systems · Mathematics 2023-04-21 Sishu Shankar Muni , Soumitro Banerjee

Neural variability plays a central role in neural coding and neuronal network dynamics. Unreliability of synaptic transmission is a major source of neural variability: synaptic neurotransmitter vesicles are released probabilistically in…

Neurons and Cognition · Quantitative Biology 2012-10-29 Steven Reich , Robert Rosenbaum

A neuron transforms its input into output spikes, and this transformation is the basic unit of computation in the nervous system. The spiking response of the neuron to a complex, time-varying input can be predicted from the detailed…

Neurons and Cognition · Quantitative Biology 2011-12-19 Michael Famulare , Adrienne Fairhall

Rapid action potential generation --- spiking --- and alternating intervals of spiking and quiescence --- bursting --- are two dynamic patterns observed in neuronal activity. In computational models of neuronal systems, the transition from…

Neurons and Cognition · Quantitative Biology 2011-07-15 John Burke , Mathieu Desroches , Anna M. Barry , Tasso J. Kaper , Mark A. Kramer

The field of neuromorphic computing promises extremely low-power and low-latency sensing and processing. Challenges in transferring learning algorithms from traditional artificial neural networks (ANNs) to spiking neural networks (SNNs)…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Jesse Hagenaars , Federico Paredes-Vallés , Guido de Croon

In this paper a model of neural circuit in the brain has been proposed which is composed of cyclic sub-circuits. A big loop has been defined to be consisting of a feed forward path from the sensory neurons to the highest processing area of…

Neurons and Cognition · Quantitative Biology 2007-06-16 Kaushik Majumdar

To understand possible strategies of temporal spike coding in the central nervous system, we study functional neuromimetic models of visual processing for static images. We will first present the retinal model which was introduced by Van…

Neurons and Cognition · Quantitative Biology 2007-05-23 Laurent Perrinet , Manuel Samuelides , Simon Thorpe

Nonlinear dynamical systems may be exposed to tipping points, critical thresholds at which small changes in the external inputs or in the systems parameters abruptly shift the system to an alternative state with a contrasting dynamical…

Chaotic Dynamics · Physics 2016-10-07 Everton S. Medeiros , Iberê L. Caldas , Murilo S. Baptista , Ulrike Feudel

In the brain, coherent neuronal activities often appear simultaneously in multiple frequency bands, e.g., as combinations of alpha (8-12 Hz), beta (12.5-30 Hz), gamma (30-120 Hz) oscillations, among others. These rhythms are believed to…

Neurons and Cognition · Quantitative Biology 2023-04-26 Tianyi Wu , Yuhang Cai , Ruilin Zhang , Zhongyi Wang , Louis Tao , Zhuo-Cheng Xiao

Efficient spatial navigation is a hallmark of the mammalian brain, inspiring the development of neuromorphic systems that mimic biological principles. Despite progress, implementing key operations like back-tracing and handling ambiguity in…

Neural and Evolutionary Computing · Computer Science 2025-03-31 Robin Dietrich , Tobias Fischer , Nicolai Waniek , Nico Reeb , Michael Milford , Alois Knoll , Adam D. Hines

Biological spiking neurons with intrinsic dynamics underlie the powerful representation and learning capabilities of the brain for processing multimodal information in complex environments. Despite recent tremendous progress in spiking…

Neural and Evolutionary Computing · Computer Science 2021-07-15 Mingkun Xu , Yujie Wu , Lei Deng , Faqiang Liu , Guoqi Li , Jing Pei

The nervous system encodes continuous information from the environment in the form of discrete spikes, and then decodes these to produce smooth motor actions. Understanding how spikes integrate, represent, and process information to produce…

Neural and Evolutionary Computing · Computer Science 2017-11-15 Madhavun Candadai Vasu , Eduardo Izquierdo