Synaptic energy drives the information processing mechanisms in spiking neural networks

Flow of energy and free energy minimization underpins almost every aspect of naturally occurring physical mechanisms. Inspired by this fact this work establishes an energy-based framework that spans the multi-scale range of biological neural systems and integrates synaptic dynamic, synchronous spiki...

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Main Authors: Karim El Laithy, Martin Bogdan
Format: Article
Language:English
Published: AIMS Press 2013-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.233
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author Karim El Laithy
Martin Bogdan
author_facet Karim El Laithy
Martin Bogdan
author_sort Karim El Laithy
collection DOAJ
description Flow of energy and free energy minimization underpins almost every aspect of naturally occurring physical mechanisms. Inspired by this fact this work establishes an energy-based framework that spans the multi-scale range of biological neural systems and integrates synaptic dynamic, synchronous spiking activity and neural states into one consistent working paradigm. Following a bottom-up approach, a hypothetical energy function is proposed for dynamic synaptic models based on the theoretical thermodynamic principles and the Hopfield networks. We show that a synapse exposes stable operating points in terms of its excitatory postsynaptic potential as a function of its synaptic strength. We postulate that synapses in a network operating at these stable points can drive this network to an internal state of synchronous firing. The presented analysis is related to the widely investigated temporal coherent activities (cell assemblies) over a certain range of time scales (binding-by-synchrony). This introduces a novel explanation of the observed (poly)synchronous activities within networks regarding the synaptic (coupling) functionality. On a network level the transitions from one firing scheme to the other express discrete sets of neural states. The neural states exist as long as the network sustains the internal synaptic energy.
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spelling doaj-art-cd9a4114d70c46c6be6351f66391fc182025-01-24T02:28:02ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-09-0111223325610.3934/mbe.2014.11.233Synaptic energy drives the information processing mechanisms in spiking neural networksKarim El Laithy0Martin Bogdan1Faculty of Mathematics and Computer Science, Dept. of Computer Engineering, Leipzig UniversityFaculty of Mathematics and Computer Science, Dept. of Computer Engineering, Leipzig UniversityFlow of energy and free energy minimization underpins almost every aspect of naturally occurring physical mechanisms. Inspired by this fact this work establishes an energy-based framework that spans the multi-scale range of biological neural systems and integrates synaptic dynamic, synchronous spiking activity and neural states into one consistent working paradigm. Following a bottom-up approach, a hypothetical energy function is proposed for dynamic synaptic models based on the theoretical thermodynamic principles and the Hopfield networks. We show that a synapse exposes stable operating points in terms of its excitatory postsynaptic potential as a function of its synaptic strength. We postulate that synapses in a network operating at these stable points can drive this network to an internal state of synchronous firing. The presented analysis is related to the widely investigated temporal coherent activities (cell assemblies) over a certain range of time scales (binding-by-synchrony). This introduces a novel explanation of the observed (poly)synchronous activities within networks regarding the synaptic (coupling) functionality. On a network level the transitions from one firing scheme to the other express discrete sets of neural states. The neural states exist as long as the network sustains the internal synaptic energy.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.233neural states.dynamic networksdynamic synapsessynaptic energy
spellingShingle Karim El Laithy
Martin Bogdan
Synaptic energy drives the information processing mechanisms in spiking neural networks
Mathematical Biosciences and Engineering
neural states.
dynamic networks
dynamic synapses
synaptic energy
title Synaptic energy drives the information processing mechanisms in spiking neural networks
title_full Synaptic energy drives the information processing mechanisms in spiking neural networks
title_fullStr Synaptic energy drives the information processing mechanisms in spiking neural networks
title_full_unstemmed Synaptic energy drives the information processing mechanisms in spiking neural networks
title_short Synaptic energy drives the information processing mechanisms in spiking neural networks
title_sort synaptic energy drives the information processing mechanisms in spiking neural networks
topic neural states.
dynamic networks
dynamic synapses
synaptic energy
url https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.233
work_keys_str_mv AT karimellaithy synapticenergydrivestheinformationprocessingmechanismsinspikingneuralnetworks
AT martinbogdan synapticenergydrivestheinformationprocessingmechanismsinspikingneuralnetworks