A coarse-graining framework for spiking neuronal networks: from strongly-coupled conductance-based integrate-and-fire neurons to augmented systems of ODEs

2019 ◽  
Vol 46 (2) ◽  
pp. 211-232 ◽  
Author(s):  
Jiwei Zhang ◽  
Yuxiu Shao ◽  
Aaditya V. Rangan ◽  
Louis Tao
2009 ◽  
Vol 80 (2) ◽  
Author(s):  
Gregor Kovačič ◽  
Louis Tao ◽  
Aaditya V. Rangan ◽  
David Cai

2010 ◽  
Vol 8 (2) ◽  
pp. 541-600 ◽  
Author(s):  
David Cai ◽  
Gregor Kovacic ◽  
Peter R. Kramer ◽  
Katherine A. Newhall ◽  
Aaditya V. Rangan ◽  
...  

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Shinichi Tamura ◽  
Yoshi Nishitani ◽  
Chie Hosokawa ◽  
Tomomitsu Miyoshi ◽  
Hajime Sawai

It has been shown that, in cultured neuronal networks on a multielectrode, pseudorandom-like sequences (codes) are detected, and they flow with some spatial decay constant. Each cultured neuronal network is characterized by a specific spectrum curve. That is, we may consider the spectrum curve as a “signature” of its associated neuronal network that is dependent on the characteristics of neurons and network configuration, including the weight distribution. In the present study, we used an integrate-and-fire model of neurons with intrinsic and instantaneous fluctuations of characteristics for performing a simulation of a code spectrum from multielectrodes on a 2D mesh neural network. We showed that it is possible to estimate the characteristics of neurons such as the distribution of number of neurons around each electrode and their refractory periods. Although this process is a reverse problem and theoretically the solutions are not sufficiently guaranteed, the parameters seem to be consistent with those of neurons. That is, the proposed neural network model may adequately reflect the behavior of a cultured neuronal network. Furthermore, such prospect is discussed that code analysis will provide a base of communication within a neural network that will also create a base of natural intelligence.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Anar Amgalan ◽  
Patrick Taylor ◽  
Lilianne R. Mujica-Parodi ◽  
Hava T. Siegelmann

AbstractBrains demonstrate varying spatial scales of nested hierarchical clustering. Identifying the brain’s neuronal cluster size to be presented as nodes in a network computation is critical to both neuroscience and artificial intelligence, as these define the cognitive blocks capable of building intelligent computation. Experiments support various forms and sizes of neural clustering, from handfuls of dendrites to thousands of neurons, and hint at their behavior. Here, we use computational simulations with a brain-derived fMRI network to show that not only do brain networks remain structurally self-similar across scales but also neuron-like signal integration functionality (“integrate and fire”) is preserved at particular clustering scales. As such, we propose a coarse-graining of neuronal networks to ensemble-nodes, with multiple spikes making up its ensemble-spike and time re-scaling factor defining its ensemble-time step. This fractal-like spatiotemporal property, observed in both structure and function, permits strategic choice in bridging across experimental scales for computational modeling while also suggesting regulatory constraints on developmental and evolutionary “growth spurts” in brain size, as per punctuated equilibrium theories in evolutionary biology.


2012 ◽  
Vol 22 (07) ◽  
pp. 1250175 ◽  
Author(s):  
JORDI GRAU-MOYA ◽  
ANTONIO J. PONS ◽  
JORDI GARCIA-OJALVO

Cortical neuronal networks are known to exhibit regimes of dynamical activity characterized by periods of elevated firing (up states) separated by silent phases (down states). Here, we show that up/down dynamics may emerge spontaneously in scale-free neuronal networks, provided an optimal amount of noise acts upon all network nodes. Our conclusions are drawn from numerical simulations of networks of subthreshold integrate-and-fire neurons, connected to each other according to a scale-free topology. We study the structure of the up/down regime both in time and in terms of the node degree. We also examine whether localized random perturbations applied to specific network nodes are able to generate up/down dynamics, showing that this regime arises when noisy inputs are applied to low-degree (nonhub) network nodes, but not when they act upon network hubs.


1998 ◽  
Vol 77 (5) ◽  
pp. 1575-1583
Author(s):  
David Horn, Irit Opher

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