Small universal spiking neural P systems with dendritic/axonal delays and dendritic trunk/feedback

García, Luis Villalobos; Sánchez, Giovanny; Vazquez, Eduardo; Avalos, Juan-Gerardo; Anides, Esteban; Nakano-Miyatake, Mariko; Sánchez, Gabriel; Pérez, Héctor

doi:10.1016/j.neunet.2021.02.010

Cited by 19 publications

(15 citation statements)

References 65 publications

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“…In step t + 5 , neuron l (3) i fires, and since neuron r is in a closed state at this point, a negative charge sent by neuron l (3) i to neuron r will be lost. Simultaneously, the polarity of neuron l (6) i changes to neutral.…”

Section: The Universality Of Psn P Systems With Delay Using the Max-sequentiality Strategymentioning

confidence: 99%

“…Step Neuron l i l (1) i l (2) i l (3) i l (7) i l (6) i l k t (0,1) (0,0) (0,1) (0,1) (0,1) (+,0) (0,0)…”

Section: The Universality Of Psn P Systems With Delay Using the Max-sequentiality Strategyunclassified

“…rule +∕a 3 → a; − ;2 , and due to the delay used, neuron r is only firing and closed (i.e., it cannot release and receive spikes and charges) during the two-step delay. In step t + 4 , since the neuron l (4) i is the one that currently has the maximum number of spikes four, it fires preferentially, consumes four spikes itself, and sends a positive charge to neurons l (5) i and l (6) i .…”

Section: The Universality Of Psn P Systems With Delay Using the Max-sequentiality Strategymentioning

confidence: 99%

“…The neurons l (4) i reverts to the initial spike and polarity state because they receive a spike with negative charge transmitted by neuron r . According to the rules for the use of electric charge, neuron l (6) i has two spikes and is neutral in polarity. In the current system only neurons l (6) i and l (5) i are active and by the max-sequentiality strategy, neuron l (6) i fires preferentially and using the forgetting rule, a negative charge is sent to neurons l (3) i , l (5) i and l (8) i and neurons l (3) i and l (5) i will revert to the initial state of the system.…”

Section: The Universality Of Psn P Systems With Delay Using the Max-sequentiality Strategymentioning

confidence: 99%

“…II: If neuron r has three ( n = 0 ) spikes (i.e., corresponding register r turns out to be empty), according to the max-sequentiality strategy, then in step t + 3 , the neuron l (4) i is the one that currently has the maximum number of spikes four, so it fires preferentially, consumes four spikes itself, and sends a positive charge to neurons l (5) i and l (6) i .…”

Section: The Universality Of Psn P Systems With Delay Using the Max-sequentiality Strategymentioning

confidence: 99%

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Universality of spiking neural P systems with polarizations working in sequential mode induced by maximum spike number

Liu

Jiang

2021

J Membr Comput

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Based on the inspiration that the communication signal between neurons in biology is composed of short electrical pulses, we investigate a new variant of spiking neural P systems, i.e., spiking neural P systems with polarizations (PSN P systems), which have a rule-triggering condition associated with polarization. In this work, we focus on the computational power of sequential PSN P systems with delay based on the maximum number of spikes, i.e., the ability to preferentially fire the neuron with the maximum number of spikes among the active neurons at each step (except for the neurons in the refractory period) of the computation. Thus, two strategies are considered, i.e., the max-sequentiality strategy and the max-pseudo-sequentiality strategy, and we prove that PSN P systems with delay adopting the max-sequentiality strategy or the max-pseudo-sequentiality strategy are Turing universal as number generating devices. The results give positive answers to the open problem formulated in [Tingfang Wu et al. (2020), Neurocomputing, 401, 392-404].

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Section: The Universality Of Psn P Systems With Delay Using the Max-sequentiality Strategymentioning

confidence: 99%

“…Step Neuron l i l (1) i l (2) i l (3) i l (7) i l (6) i l k t (0,1) (0,0) (0,1) (0,1) (0,1) (+,0) (0,0)…”

Section: The Universality Of Psn P Systems With Delay Using the Max-sequentiality Strategyunclassified

Section: The Universality Of Psn P Systems With Delay Using the Max-sequentiality Strategymentioning

confidence: 99%

Section: The Universality Of Psn P Systems With Delay Using the Max-sequentiality Strategymentioning

confidence: 99%

Section: The Universality Of Psn P Systems With Delay Using the Max-sequentiality Strategymentioning

confidence: 99%

See 3 more Smart Citations

Universality of spiking neural P systems with polarizations working in sequential mode induced by maximum spike number

Liu

Jiang

2021

J Membr Comput

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Hardware Simulations of Spiking Neural P Systems

Zhang,

Verlan,

et al. 2024

Spiking Neural P Systems

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Small universal improved spiking neural P systems with multiple channels and autapses

Ning¹,

Valencia-Cabrera

Song

2022

J Membr Comput

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Small universal spiking neural P systems with dendritic/axonal delays and dendritic trunk/feedback

Cited by 19 publications

References 65 publications

Universality of spiking neural P systems with polarizations working in sequential mode induced by maximum spike number

Universality of spiking neural P systems with polarizations working in sequential mode induced by maximum spike number

Hardware Simulations of Spiking Neural P Systems

Small universal improved spiking neural P systems with multiple channels and autapses

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