Dendrite P systems. (July 2020)

• Record Type: Journal Article
• Authors: Peng, Hong; Bao, Tingting; Luo, Xiaohui; Wang, Jun; Song, Xiaoxiao; Riscos-Núñez, Agustín; Pérez-Jiménez, Mario J.
• Is Part Of: Neural networks. Volume 127(2020)
• Page Start: 110
• Page End: 120
• Publication Date: 2020-07
• Subjects: P systems -- Neural-like P systems -- Dendrite P systems -- Computational power; Neural computers -- Periodicals; Neural networks (Computer science) -- Periodicals; Neural networks (Neurobiology) -- Periodicals; Nervous System -- Periodicals; Ordinateurs neuronaux -- Périodiques; Réseaux neuronaux (Informatique) -- Périodiques; Réseaux neuronaux (Neurobiologie) -- Périodiques; Neural computers; Neural networks (Computer science); Neural networks (Neurobiology); Periodicals; 006.32
• DOI: 10.1016/j.neunet.2020.04.014
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: It was recently found that dendrites are not just a passive channel. They can perform mixed computation of analog and digital signals, and therefore can be abstracted as information processors. Moreover, dendrites possess a feedback mechanism. Motivated by these computational and feedback characteristics, this article proposes a new variant of neural-like P systems, dendrite P (DeP) systems, where neurons simulate the computational function of dendrites and perform a firing–storing process instead of the storing–firing process in spiking neural P (SNP) systems. Moreover, the behavior of the neurons is characterized by dendrite rules that are abstracted by two characteristics of dendrites. Different from the usual firing rules in SNP systems, the firing of a dendrite rule is controlled by the states of the corresponding source neurons. Therefore, DeP systems can provide a collaborative control capability for neurons. We discuss the computational power of DeP systems. In particular, it is proven that DeP systems are Turing-universal number generating/accepting devices. Moreover, we construct a small universal DeP system consisting of 115 neurons for computing functions. Highlights: We consider dendrites as information processors. We propose a new model, dendrite P systems (DeP systems, in short). We prove that DeP systems are Turing-universal number generating/accepting devices. We construct a small universal DeP system of 115 neurons for computing functions.