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Open AccessArticle

Formulation of Pruning Maps with Rhythmic Neural Firing

1
Department of Biomedical Imaging and Radiological Science, China Medical University, Taichung 40402, Taiwan
2
Research Center for Interneural Computing, China Medical University Hospital, Taichung 40447, Taiwan
3
Department of Information Management, Yuan Ze University, Chung-Li 32003, Taiwan
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(12), 1247; https://doi.org/10.3390/math7121247
Received: 22 November 2019 / Revised: 13 December 2019 / Accepted: 13 December 2019 / Published: 17 December 2019
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. View Full-Text
Keywords: decirculation process; network dynamics; neural path pruning; pruning maps; rhythmic neural firing decirculation process; network dynamics; neural path pruning; pruning maps; rhythmic neural firing
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Tsai, F.-S.; Shih, Y.-L.; Pang, C.-T.; Hsu, S.-Y. Formulation of Pruning Maps with Rhythmic Neural Firing. Mathematics 2019, 7, 1247.

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