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There is evidence that biological synapses have only a fixed number of discrete weight states. Memory storage with such synapses behaves quite differently from synapses with unbounded, continuous weights as old memories are automatically…

Neurons and Cognition · Quantitative Biology 2008-03-14 Adam B. Barrett , M. C. W. van Rossum

Noise is an inherent part of neuronal dynamics, and thus of the brain. It can be observed in neuronal activity at different spatiotemporal scales, including in neuronal membrane potentials, local field potentials, electroencephalography,…

Neurons and Cognition · Quantitative Biology 2019-01-03 Daqing Guo , Matjaz Perc , Tiejun Liu , Dezhong Yao

Spiking neural networks (SNNs) have emerged as energy-efficient neural networks with temporal information. SNNs have shown a superior efficiency on neuromorphic devices, but the devices are susceptible to noise, which hinders them from…

Neural and Evolutionary Computing · Computer Science 2021-04-23 Seongsik Park , Dongjin Lee , Sungroh Yoon

We investigate the efficient transmission and processing of weak, subthreshold signals in a realistic neural medium in the presence of different levels of the underlying noise. Assuming Hebbian weights for maximal synaptic conductances --…

Biological Physics · Physics 2015-08-19 Joaquin J. Torres , Irene Elices , J. Marro

Memory is a complex phenomenon that involves several distinct mechanisms. These mechanisms operate at different spatial and temporal levels. This chapter focuses on the theoretical framework and the mathematical models that have been…

Neurons and Cognition · Quantitative Biology 2021-12-22 Stefano Fusi

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

Many networks in the brain are sparsely connected, and the brain eliminates synapses during development and learning. How could the brain decide which synapses to prune? In a recurrent network, determining the importance of a synapse…

Neurons and Cognition · Quantitative Biology 2021-07-20 Eli Moore , Rishidev Chaudhuri

Competitive dynamics are thought to occur in many processes of learning involving synaptic plasticity. Here we show, in a game theory-inspired model of synaptic interactions, that the competition between synapses in their weak and strong…

Disordered Systems and Neural Networks · Physics 2015-05-28 Gaurang Mahajan , Anita Mehta

We study the effects of diffusion on a $\Lambda$-gradient echo memory, which is a coherent optical quantum memory using thermal gases. The efficiency of this memory is high for short storage time, but decreases exponentially due to…

Quantum Physics · Physics 2015-06-15 X. -W. Luo , J. J. Hope , B. Hillman , T. M. Stace

Short-term memory in the brain cannot in general be explained the way long-term memory can -- as a gradual modification of synaptic weights -- since it takes place too quickly. Theories based on some form of cellular bistability, however,…

Neurons and Cognition · Quantitative Biology 2013-01-31 Samuel Johnson , J. Marro , Joaquín J. Torres

In this paper, we investigated the neural spikes synchronisation in a neural network with synaptic plasticity and external perturbation. In the simulations the neural dynamics is described by the Hodgkin Huxley model considering chemical…

Noise appears in the brain due to various sources, such as ionic channel fluctuations and synaptic events. They affect the activities of the brain and influence neuron action potentials. Stochastic differential equations have been used to…

Neurons and Cognition · Quantitative Biology 2020-06-01 P R Protachevicz , M S Santos , E G Seifert , E C Gabrick , F S Borges , R R Borges , J Trobia , J D Szezech , K C Iarosz , I L Caldas , C G Antonopoulos , Y Xu , R L Viana , A M Batista

In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represented by its membrane potential and by the residual calcium…

Probability · Mathematics 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

Learning, especially rapid learning, is critical for survival. However, learning is hard: a large number of synaptic weights must be set based on noisy, often ambiguous, sensory information. In such a high-noise regime, keeping track of…

Neurons and Cognition · Quantitative Biology 2021-03-22 Laurence Aitchison , Jannes Jegminat , Jorge Aurelio Menendez , Jean-Pascal Pfister , Alex Pouget , Peter E. Latham

Sensory information propagates through successive processing stages in the brain, where synaptic weight patterns between stations determine how downstream neurons decode information from upstream populations. Although optimized synaptic…

Neurons and Cognition · Quantitative Biology 2026-02-26 Ori Hendler , Ronen Segev , Maoz Shamir

Brain plasticity refers to brain's ability to change neuronal connections, as a result of environmental stimuli, new experiences, or damage. In this work, we study the effects of the synaptic delay on both the coupling strengths and…

Neurons and Cognition · Quantitative Biology 2018-11-14 E. L. Lameu , E. E. N. Macau , F. S. Borges , K. C. Iarosz , I. L. Caldas , R. R. Borges , P. R. Protachevicz , R. L. Viana , A. M. Batista

The subject of study is a neural network with binary neurons, randomly diluted synapses and variable pattern activity. We look at the system with parallel updating using a probabilistic approach to solve the one step dynamics with one…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Grosskinsky

The influence of temperature on neuronal excitability is studied by numerical simulations on the spiking threshold characteristics of bushy cells in cochlear nucleus periodically stimulated by synaptic currents. The results reveal that…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ting Zeng , Jiafu Wang , Shenbing Kuang

The functional significance of correlations between action potentials of neurons is still a matter of vivid debates. In particular it is presently unclear how much synchrony is caused by afferent synchronized events and how much is…

Neurons and Cognition · Quantitative Biology 2013-04-09 Matthias Schultze-Kraft , Markus Diesmann , Sonja Grün , Moritz Helias

Precise spatio-temporal patterns of neuronal action potentials underly e.g. sensory representations and control of muscle activities. However, it is not known how the synaptic efficacies in the neuronal networks of the brain adapt such that…

Neurons and Cognition · Quantitative Biology 2015-02-24 Christian Albers , Maren Westkott , Klaus Pawelzik