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This paper predicts the ability to externally control the firing times of a cortical neuron whose behavior follows the Izhikevich neuron model. The Izhikevich neuron model provides an efficient and biologically plausible method to track a…

Neurons and Cognition · Quantitative Biology 2020-04-24 Adam Noel , Shayan Monabbati , Dimitrios Makrakis , Andrew W. Eckford

This paper predicts the ability to externally control the firing times of a cortical neuron whose behavior follows the Izhikevich neuron model. The Izhikevich neuron model provides an efficient and biologically plausible method to track a…

Neurons and Cognition · Quantitative Biology 2018-09-06 Adam Noel , Shayan Monabbati , Dimitrios Makrakis , Andrew W. Eckford

Mean-field theory links the physiological properties of individual neurons to the emergent dynamics of neural population activity. These models provide an essential tool for studying brain function at different scales; however, for their…

Neurons and Cognition · Quantitative Biology 2023-03-01 Richard Gast , Sara A. Solla , Ann Kennedy

Spiking Neural Networks (SNNs) have piqued researchers' interest because of their capacity to process temporal information and low power consumption. However, current state-of-the-art methods limited their biological plausibility and…

Computer Vision and Pattern Recognition · Computer Science 2022-04-04 Cheng Jin , Rui-Jie Zhu , Xiao Wu , Liang-Jian Deng

The state space of a conventional Hopfield network typically exhibits many different attractors of which only a small subset satisfy constraints between neurons in a globally optimal fashion. It has recently been demonstrated that combining…

Adaptation and Self-Organizing Systems · Physics 2014-09-02 Alexander Woodward , Tom Froese , Takashi Ikegami

Networks of spiking neurons with adaption have been shown to be able to reproduce a wide range of neural activities, including the emergent population bursting and spike synchrony that underpin brain disorders and normal function. Exact…

Neurons and Cognition · Quantitative Biology 2022-03-17 Liang Chen , Sue Ann Campbell

We designed, prototyped, and experimentally demonstrated, for the first time to our knowledge, an optoelectronic spiking neuron inspired by the Izhikevich model incorporating both excitatory and inhibitory optical spiking inputs and…

Neural and Evolutionary Computing · Computer Science 2021-05-07 Yun-jhu Lee , Mehmet Berkay On , Xian Xiao , Roberto Proietti , S. J. Ben Yoo

While many neural networks focus on layers to process information, the GAIN model uses a grid-based structure to improve biological plausibility and the dynamics of the model. The grid structure helps neurons to interact with their closest…

Neurons and Cognition · Quantitative Biology 2025-06-06 Gage K. R. Hooper

To understand the behavior of a neural circuit it is a presupposition that we have a model of the dynamical system describing this circuit. This model is determined by several parameters, including not only the synaptic weights, but also…

Neural and Evolutionary Computing · Computer Science 2016-08-23 J. Fischer , P. Manoonpong , S. Lackner

The spiking activity of single neurons can be well described by a nonlinear integrate-and-fire model that includes somatic adaptation. When exposed to fluctuating inputs sparsely coupled populations of these model neurons exhibit stochastic…

Neurons and Cognition · Quantitative Biology 2017-07-20 Moritz Augustin , Josef Ladenbauer , Fabian Baumann , Klaus Obermayer

Spiking neural networks (SNNs) communicate through the all-or-none spiking activity of neurons. However, fitting the large number of SNN model parameters to observed neural activity patterns, for example, in biological experiments, remains…

Neural and Evolutionary Computing · Computer Science 2021-05-17 James Fitzgerald , KongFatt Wong-Lin

Collective dynamics of spiking networks of neurons has been of central interest to both computation neuroscience and network science. Over the past years a new generation of neural population models based on exact reductions (ER) of spiking…

Neurons and Cognition · Quantitative Biology 2023-10-24 Inês C. Guerreiro , Matteo di Volo , Boris Gutkin

Firing rate models are dynamical systems widely used in applied and theoretical neuroscience to describe local cortical dynamics in neuronal populations. By providing a macroscopic perspective of neuronal activity, these models are…

Neurons and Cognition · Quantitative Biology 2025-09-03 Simone Betteti , Giacomo Baggio , Francesco Bullo , Sandro Zampieri

We study pairwise Ising models for describing the statistics of multi-neuron spike trains, using data from a simulated cortical network. We explore efficient ways of finding the optimal couplings in these models and examine their…

Quantitative Methods · Quantitative Biology 2009-05-21 Yasser Roudi , Joanna Tyrcha , John Hertz

Biological neurons exhibit diverse temporal spike patterns, which are believed to support efficient, robust, and adaptive neural information processing. While models such as Izhikevich can replicate a wide range of these firing dynamics,…

Neural and Evolutionary Computing · Computer Science 2025-05-08 Ayana Moshruba , Hamed Poursiami , Maryam Parsa

Neurons subject to a common non-stationary input may exhibit a correlated firing behavior. Correlations in the statistics of neural spike trains also arise as the effect of interaction between neurons. Here we show that these two situations…

Quantitative Methods · Quantitative Biology 2021-04-13 Joanna Tyrcha , Yasser Roudi , Matteo Marsili , John Hertz

Now that spike trains from many neurons can be recorded simultaneously, there is a need for methods to decode these data to learn about the networks that these neurons are part of. One approach to this problem is to adjust the parameters of…

Quantitative Methods · Quantitative Biology 2011-06-10 John Hertz , Yasser Roudi , Joanna Tyrcha

Neural networks are complex algorithms that loosely model the behaviour of the human brain. They play a significant role in computational neuroscience and artificial intelligence. The next generation of neural network models is based on the…

Neural and Evolutionary Computing · Computer Science 2020-05-29 Ifeatu Ezenwe , Alok Joshi , KongFatt Wong-Lin

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

We present a hidden Markov model that describes variation in an animal's position associated with varying levels of activity in action potential spike trains of individual place cell neurons. The model incorporates a coarse-graining of…

Applications · Statistics 2014-12-22 Marc Box , Matt W. Jones , Nick Whiteley
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