Inference of topology and the nature of synapses, and the flow of information in neuronal networks

F. S. Borges, Ewandson L. Lameu, Kelly C. Iarosz, Paulo R. Protachevicz, Iberê L. Caldas, Ricardo L. Viana, Elbert E. N. Macau, Antonio M. Batista, Murilo da Silva Baptista

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Abstract

The characterisation of neuronal connectivity is one of the most important matters in neuroscience. In this work, we show that a recently proposed informational quantity, the causal mutual information, employed with an appropriate methodology, can be used not only to correctly infer the direction of the underlying physical synapses, but also to identify their excitatory or inhibitory nature, considering easy to handle and measure bivariate time-series. The success of our approach relies on a surprising property found in neuronal networks by which non-adjacent neurons do “understand” each other (positive mutual information), however this exchange of information is not capable of causing effect (zero transfer entropy). Remarkably, inhibitory connections, responsible for enhancing synchronisation, transfer more information than excitatory connections, known to enhance entropy in the network. We also demonstrate that our methodology can be used to correctly infer directionality of synapses even in the presence of dynamic and observational Gaussian noise,
and is also successful in providing the effective directionality of inter modular connectivity, when only mean fields can be measured.
Original languageEnglish
Article number022303
Pages (from-to)1-7
Number of pages7
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume97
Issue number2
Early online date7 Feb 2018
DOIs
Publication statusPublished - Feb 2018

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synapses
Neuronal Network
Synapse
Mutual Information
inference
Connectivity
topology
Entropy
Topology
Neuroscience
Methodology
Gaussian Noise
methodology
Mean Field
entropy
neurology
information transfer
Neuron
Synchronization
Time series

Cite this

Inference of topology and the nature of synapses, and the flow of information in neuronal networks. / Borges, F. S.; Lameu, Ewandson L.; Iarosz, Kelly C.; Protachevicz, Paulo R.; Caldas, Iberê L.; Viana, Ricardo L.; Macau, Elbert E. N. ; Batista, Antonio M.; Baptista, Murilo da Silva.

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 97, No. 2, 022303, 02.2018, p. 1-7.

Research output: Contribution to journal › Article

Borges, FS, Lameu, EL, Iarosz, KC, Protachevicz, PR, Caldas, IL, Viana, RL, Macau, EEN, Batista, AM & Baptista, MDS 2018, 'Inference of topology and the nature of synapses, and the flow of information in neuronal networks', Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 97, no. 2, 022303, pp. 1-7. https://doi.org/10.1103/PhysRevE.97.022303
Borges FS, Lameu EL, Iarosz KC, Protachevicz PR, Caldas IL, Viana RL et al. Inference of topology and the nature of synapses, and the flow of information in neuronal networks. Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 2018 Feb;97(2):1-7. 022303. https://doi.org/10.1103/PhysRevE.97.022303
Borges, F. S. ; Lameu, Ewandson L. ; Iarosz, Kelly C. ; Protachevicz, Paulo R. ; Caldas, Iberê L. ; Viana, Ricardo L. ; Macau, Elbert E. N. ; Batista, Antonio M. ; Baptista, Murilo da Silva. / Inference of topology and the nature of synapses, and the flow of information in neuronal networks. In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 2018 ; Vol. 97, No. 2. pp. 1-7.
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abstract = "The characterisation of neuronal connectivity is one of the most important matters in neuroscience. In this work, we show that a recently proposed informational quantity, the causal mutual information, employed with an appropriate methodology, can be used not only to correctly infer the direction of the underlying physical synapses, but also to identify their excitatory or inhibitory nature, considering easy to handle and measure bivariate time-series. The success of our approach relies on a surprising property found in neuronal networks by which non-adjacent neurons do “understand” each other (positive mutual information), however this exchange of information is not capable of causing effect (zero transfer entropy). Remarkably, inhibitory connections, responsible for enhancing synchronisation, transfer more information than excitatory connections, known to enhance entropy in the network. We also demonstrate that our methodology can be used to correctly infer directionality of synapses even in the presence of dynamic and observational Gaussian noise,and is also successful in providing the effective directionality of inter modular connectivity, when only mean fields can be measured.",
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