Spiking neural P systems with inhibitory rules

Motivated by the mechanism of inhibitory synapses, a new kind of spiking neural P (SNP) system rules, called inhibitory rules, is introduced in this paper. Based on this, a new variant of SNP systems is proposed, called spiking neural P systems with inhibitory rules (SNP-IR systems). Different from...

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Bibliographic Details
Published in:Knowledge-based systems 2020-01, Vol.188, p.105064, Article 105064
Main Authors: Peng, Hong, Li, Bo, Wang, Jun, Song, Xiaoxiao, Wang, Tao, Valencia-Cabrera, Luis, Pérez-Hurtado, Ignacio, Riscos-Núñez, Agustín, Pérez-Jiménez, Mario J.
Format: Article
Language:English
Subjects:
Graph theory
Inhibitory synapse
Membrane computing
Neurons
Night vision
Spiking
Spiking neural P systems
Spiking neural P systems with inhibitory rules
Synapses
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Summary:Motivated by the mechanism of inhibitory synapses, a new kind of spiking neural P (SNP) system rules, called inhibitory rules, is introduced in this paper. Based on this, a new variant of SNP systems is proposed, called spiking neural P systems with inhibitory rules (SNP-IR systems). Different from the usual firing rules in SNP systems, the firing condition of an inhibitory rule not only depends on the state of the neuron associated with the rule but also is related to the states of other neurons. Moreover, from the perspective of topological structure, the new variant is shown as a directed graph with inhibitory arcs, and therefore seems to have more powerful control. The computational completeness of SNP-IR systems is discussed. In particular, it is proved that SNP-IR systems are Turing universal number accepting/generating devices. Moreover, we obtain a small universal function-computing device for SNP-IR systems consisting of 100 neurons. •We propose a new kind rule, inhibitory rules, inspired from mechanism of inhibitory synapse.•We propose a new variant, spiking neural P systems with inhibitory rules (SNP-IR systems, in short).•We prove that SNP-IR systems as both number generating and number accepting devices are Turing universal.•We construct a small universal function computing device consisting of 100 neurons for SNP-IR systems.
ISSN:0950-7051
1872-7409
DOI:10.1016/j.knosys.2019.105064