Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Diego Fasoli"'
Autor:
Diego Fasoli, Stefano Panzeri
Publikováno v:
Mathematical Biosciences and Engineering, Vol 16, Iss 6, Pp 8025-8059 (2019)
Several mathematical approaches to studying analytically the dynamics of neural networks rely on mean-field approximations, which are rigorously applicable only to networks of infinite size. However, all existing real biological networks have finite
Externí odkaz:
https://doaj.org/article/5472f3fe1fe14c329379aff2c660dfcd
Autor:
Diego Fasoli, Stefano Panzeri
Publikováno v:
Entropy, Vol 21, Iss 7, p 630 (2019)
In this paper, we study the statistical properties of the stationary firing-rate states of a neural network model with quenched disorder. The model has arbitrary size, discrete-time evolution equations and binary firing rates, while the topology and
Externí odkaz:
https://doaj.org/article/7c470c500da842b5ae24f7b00947bd80
Publikováno v:
PLoS Computational Biology, Vol 12, Iss 8, p e1004992 (2016)
Mean-field approximations are a powerful tool for studying large neural networks. However, they do not describe well the behavior of networks composed of a small number of neurons. In this case, major differences between the mean-field approximation
Externí odkaz:
https://doaj.org/article/06a6104f1f52446586b0930fb8f9e4b5
Neural network models have been instrumental in revealing the foundational principles of whole-brain dynamics. Here we describe a new whole-cortex model of mouse resting-state fMRI (rsfMRI) activity. Our model implements neural input-output nonlinear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0364b8069948460867a83e836a33988f
https://doi.org/10.1101/2022.04.28.489908
https://doi.org/10.1101/2022.04.28.489908
Autor:
Stefano Panzeri, Diego Fasoli
Publikováno v:
Entropy
Volume 21
Issue 7
Entropy, Vol 21, Iss 7, p 630 (2019)
Volume 21
Issue 7
Entropy, Vol 21, Iss 7, p 630 (2019)
In this paper, we study the statistical properties of the stationary firing-rate states of a neural network model with quenched disorder. The model has arbitrary size, discrete-time evolution equations and binary firing rates, while the topology and
Publikováno v:
Neural computation. 30(5)
Despite their biological plausibility, neural network models with asymmetric weights are rarely solved analytically, and closed-form solutions are available only in some limiting cases or in some mean-field approximations. We found exact analytical s
Publikováno v:
Journal of Computational Neuroscience
The study of correlations in neural circuits of different size, from the small size of cortical microcolumns to the large-scale organization of distributed networks studied with functional imaging, is a topic of central importance to systems neurosci
Publikováno v:
Mathematical and Theoretical Neuroscience ISBN: 9783319682969
We study analytically the changes of dynamics of a firing-rate network model with cubic topology. The present study is performed by extending to this sparse network a formalism we previously developed for the bifurcation analysis of fully-connected c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::890c5dcabfa82fa86f18555b82d5bd3e
https://doi.org/10.1007/978-3-319-68297-6_5
https://doi.org/10.1007/978-3-319-68297-6_5
Publikováno v:
PLoS Computational Biology, Vol 12, Iss 8, p e1004992 (2016)
PLOS Computational Biology
PLoS Computational Biology
PLOS Computational Biology
PLoS Computational Biology
Mean-field approximations are a powerful tool for studying large neural networks. However, they do not describe well the behavior of networks composed of a small number of neurons. In this case, major differences between the mean-field approximation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b324fe1132b544451e76ecef07e11cd3
Publikováno v:
Journal of Mathematical Neuroscience
Journal of Mathematical Neuroscience, BioMed Central, 2015, ⟨10.1186/s13408-015-0020-y⟩
Journal of Mathematical Neuroscience, 2015, ⟨10.1186/s13408-015-0020-y⟩
Journal of Mathematical Neuroscience, BioMed Central, 2015, ⟨10.1186/s13408-015-0020-y⟩
Journal of Mathematical Neuroscience, 2015, ⟨10.1186/s13408-015-0020-y⟩
We introduce a new formalism for evaluating analytically the cross-correlation structure of a finite-size firing-rate network with recurrent connections. The analysis performs a first-order perturbative expansion of neural activity equations that inc