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First-principles-based modelings have been extremely successful in providing crucial insights and predictions for complex biological functions and phenomena. However, they can be hard to build and expensive to simulate for complex living…

Adaptation and Self-Organizing Systems · Physics 2024-11-26 Ruilin Zhang , Zhongyi Wang , Tianyi Wu , Yuhang Cai , Louis Tao , Zhuo-Cheng Xiao , Yao Li

When a neuron fires and the resulting action potential travels down its axon toward other neurons' dendrites, the effect on each of those neurons is mediated by the weight of the synapse that separates it from the firing neuron. This…

Neurons and Cognition · Quantitative Biology 2010-02-19 Andre Nathan , Valmir C. Barbosa

How is reliable physiological function maintained in cells despite considerable variability in the values of key parameters of multiple interacting processes that govern that function? Here we use the classic Hodgkin-Huxley formulation of…

Neurons and Cognition · Quantitative Biology 2018-08-20 Hillel Ori , Eve Marder , Shimon Marom

Using a stochastic generalization of the Hodgkin–Huxley model, we consider the influence of intrinsic channel noise on the synchronization between the spiking activity of the excitable membrane and an externally applied periodic…

Biological Physics · Physics 2007-05-23 Gerhard Schmid , Igor Goychuk , Peter Hanggi

The highly parallel process in the neuron networks is mediated through a mass of synaptic interconnections. Mimicking single synapse behaviors and highly paralleled neural networks has become more and more fascinating and important. Here,…

Materials Science · Physics 2013-01-11 Changjin Wan , Guodong Wu , Liqiang Guo , Liqiang Zhu , Qing Wan

Neurons and other excitable systems can release energy suddenly given a small stimulus. Excitability has recently drawn increasing interest in optics, as it is key to realize all-optical artificial neurons enabling speed-of-light…

Neurons in the brain are complex machines with distinct functional compartments that interact nonlinearly. In contrast, neurons in artificial neural networks abstract away this complexity, typically down to a scalar activation function of a…

Machine Learning · Computer Science 2021-10-18 Kijung Yoon , Emin Orhan , Juhyun Kim , Xaq Pitkow

We examine the effects of stochastic input currents on the firing behavior of two excitable neurons coupled with fast excitatory synapses. In such cells (models), typified by the quadratic integrate and fire model, mutual synaptic coupling…

Neurons and Cognition · Quantitative Biology 2007-07-31 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

While Artificial Neural Networks (ANNs) have yielded impressive results in the realm of simulated intelligent behavior, it is important to remember that they are but sparse approximations of Biological Neural Networks (BNNs). We go beyond…

Neural and Evolutionary Computing · Computer Science 2021-03-30 Krishna Katyal , Jesse Parent , Bradly Alicea

We investigate the dynamics of a network consisting of an array of identical cortical units with nearest neighbor interactions under periodic arousal. Each unit consists of two interconnected populations of neurons tuned to a state in which…

Neurons and Cognition · Quantitative Biology 2019-02-12 Leandro M. Alonso

A perturbative method is developed for calculating the effects of recurrent synaptic interactions between neurons embedded in a network. A series expansion is constructed that converges for networks with noisy membrane potential and weak…

Disordered Systems and Neural Networks · Physics 2009-11-10 Patrick D. Roberts

Network architecture forms a critical constraint on neuronal function. Here we examine the role of structural autapses, when a neuron synapses onto itself, in driving network-wide bursting behavior. Using a simple spiking model of neuronal…

Neurons and Cognition · Quantitative Biology 2016-08-02 Laura Wiles , Shi Gu , Fabio Pasqualetti , Danielle S. Bassett , David F. Meaney

The highly variable dynamics of neocortical circuits observed in vivo have been hypothesized to represent a signature of ongoing stochastic inference but stand in apparent contrast to the deterministic response of neurons measured in vitro.…

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

Real-world networks in technology, engineering and biology often exhibit dynamics that cannot be adequately reproduced using network models given by smooth dynamical systems and a fixed network topology. Asynchronous networks give a…

Dynamical Systems · Mathematics 2017-02-07 Christian Bick , Michael Field

The "edge of chaos" phase transition in artificial neural networks is of renewed interest in light of recent evidence for criticality in brain dynamics. Statistical mechanics traditionally studied this transition with connectivity $k$ as…

Disordered Systems and Neural Networks · Physics 2019-07-17 Lorenz Baumgarten , Stefan Bornholdt

When we look at the world around us, we see complex physical systems and emergent phenomena. Emergence occurs when a system is observed to have properties that its parts do not have on their own. These properties or behaviors emerge only…

Neurons and Cognition · Quantitative Biology 2021-05-26 Nir Lahav

Neuro-inspired models and systems have great potential for applications in unconventional computing. Often, the mechanisms of biological neurons are modeled or mimicked in simulated or physical systems in an attempt to harness some of the…

Neural and Evolutionary Computing · Computer Science 2021-10-18 Jørgen Jensen Farner , Håkon Weydahl , Ruben Jahren , Ola Huse Ramstad , Stefano Nichele , Kristine Heiney

The generation of action potential brings into play specific mechanosensory stimuli manifest in the variation of membrane capacitance, resulting from the selective membrane permeability to ions exchanges and testifying to the central role…

Neurons and Cognition · Quantitative Biology 2021-02-23 Alain M. Dikande

A purely artificial mechanism for optical nonlinearity is proposed based on a metamaterial route. The mechanism is derived from classical electromagnetic interaction in a meta-molecule consisting of a cut-wire meta-atom nested within a…

Optics · Physics 2018-03-19 Yongzheng Wen , Ji Zhou

We study the response of a Hodgkin-Huxley neuron stimulated by a periodic sequence of conductance pulses arriving through the synapse in the high frequency regime. In addition to the usual excitation threshold there is a smooth crossover…

Biological Physics · Physics 2010-04-08 L. S. Borkowski