Journal
KNOWLEDGE-BASED SYSTEMS
Volume 163, Issue -, Pages 875-884Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.knosys.2018.10.016
Keywords
Membrane computing; P systems; Neural-like P systems; Dynamic threshold neural P systems; Universality
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Funding
- National Natural Science Foundation of China [61472328]
- Research Fund of Sichuan Science and Technology Project [2018JY0083]
- Chunhui Project Foundation of the Education Department of China [Z2016143, Z2016148]
- Research Foundation of the Education Department of Sichuan province, China [17TD0034]
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Pulse coupled neural networks (PCNN, for short) are models abstracting the synchronization behavior observed experimentally for the cortical neurons in the visual cortex of a cat's brain, and the intersecting cortical model is a simplified version of the PCNN model. Membrane computing (MC) is a kind computation paradigm abstracted from the structure and functioning of biological cells that provide models working in cell-like mode, neural-like mode and tissue-like mode. Inspired from intersecting cortical model, this paper proposes a new kind of neural-like P systems, called dynamic threshold neural P systems (for short, DTNP systems). DTNP systems can be represented as a directed graph, where nodes are dynamic threshold neurons while arcs denote synaptic connections of these neurons. DTNP systems provide a kind of parallel computing models, they have two data units (feeding input unit and dynamic threshold unit) and the neuron firing mechanism is implemented by using a dynamic threshold mechanism. The Turing universality of DTNP systems as number accepting/generating devices is established. In addition, an universal DTNP system having 109 neurons for computing functions is constructed. (C) 2018 Elsevier B.V. All rights reserved.
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