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Formulation of Pruning Maps with Rhythmic Neural Firing

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  • Feng-Sheng Tsai

    (Department of Biomedical Imaging and Radiological Science, China Medical University, Taichung 40402, Taiwan
    Research Center for Interneural Computing, China Medical University Hospital, Taichung 40447, Taiwan)

  • Yi-Li Shih

    (Department of Information Management, Yuan Ze University, Chung-Li 32003, Taiwan)

  • Chin-Tzong Pang

    (Department of Information Management, Yuan Ze University, Chung-Li 32003, Taiwan)

  • Sheng-Yi Hsu

    (Department of Biomedical Imaging and Radiological Science, China Medical University, Taichung 40402, Taiwan
    Research Center for Interneural Computing, China Medical University Hospital, Taichung 40447, Taiwan)

Abstract

Rhythmic neural firing is thought to underlie the operation of neural function. This triggers the construction of dynamical network models to investigate how the rhythms interact with each other. Recently, an approach concerning neural path pruning has been proposed in a dynamical network system, in which critical neuronal connections are identified and adjusted according to the pruning maps, enabling neurons to produce rhythmic, oscillatory activity in simulation. Here, we construct a sort of homomorphic functions based on different rhythms of neural firing in network dynamics. Armed with the homomorphic functions, the pruning maps can be simply expressed in terms of interactive rhythms of neural firing and allow a concrete analysis of coupling operators to control network dynamics. Such formulation of pruning maps is applied to probe the consolidation of rhythmic patterns between layers of neurons in feedforward neural networks.

Suggested Citation

  • Feng-Sheng Tsai & Yi-Li Shih & Chin-Tzong Pang & Sheng-Yi Hsu, 2019. "Formulation of Pruning Maps with Rhythmic Neural Firing," Mathematics, MDPI, vol. 7(12), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1247-:d:298999
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    References listed on IDEAS

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    1. Leon Glass, 2001. "Synchronization and rhythmic processes in physiology," Nature, Nature, vol. 410(6825), pages 277-284, March.
    2. Germán Sumbre & Akira Muto & Herwig Baier & Mu-ming Poo, 2008. "Entrained rhythmic activities of neuronal ensembles as perceptual memory of time interval," Nature, Nature, vol. 456(7218), pages 102-106, November.
    3. Markus Diesmann & Marc-Oliver Gewaltig & Ad Aertsen, 1999. "Stable propagation of synchronous spiking in cortical neural networks," Nature, Nature, vol. 402(6761), pages 529-533, December.
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