Multistability and Stochastic Dynamics of Rulkov Neurons Coupled Via a Chemical Synapse

Bashkirtseva, Irina; Pisarchik, Alexander N.; Ryashko, Lev

doi:10.2139/ssrn.4312931

Cited by 1 publication

(1 citation statement)

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“…As know, the information between neurons is transmitted and connected between neurons is realized through synapses [32]. There are two important types of synaptic, one is electrical synapses based on gap connections [33], and the other is chemical synapses that depend on chemical transmission [34]. In addition, neurons have various forms of connection, such as chain network [35], star network [36], small world network [37], multi-layer network [38,39], etc.…”

Section: Introductionmentioning

confidence: 99%

Energy evolution in function neuronal network under different coupling channel

Zhang,

Jin,

2023

Preprint

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Connecting piezoelectric ceramic to any neuron circuit can result in an auditory neuronal circuit by generating different output voltages that convert external mechanical forces and vibrations into electrical signals. In this paper, three auditory neuron circuits with different firing states connect to form a ring network using resistor, inductor, and capacitor. The coupling channels can be tamed under voltage, magnetic field, and electric field couplings simultaneously. The three kinds of coupling can modulate synchronization via continuous energy exchange and pumping, and the coupling resistor consumes only Joule heat, while the capacitor and inductor can pump and conserve field energy. So the proportion of electric field energy, magnetic field energy and total energy in each neuron, and field energy proportion kept in the coupling channels are respectively calculated to discern the dependence of the firing state and synchronization mode on the energy. It is shown that higher strength coupling can not only attenuate periodic firing and increase the electric field energy proportion in neurons, but also transform chaotic firing into periodic firing and increase the magnetic field energy proportion. The total energy proportion of the coupling channels continuously increases if neurons show only periodic firing, but the existence of neurons with chaotic firing can increase firstly and then decrease the energy proportion. In fact, compared to resistor and capacitor channel, the stronger the coupling can induce the more energy proportion in the inductor channel, which is beneficial for the synchronization of neurons connected by it. From a biophysical perspective, the activation of magnetic field coupling is the result of the continuous release and propagation of intracellular and extracellular ions, which is very similar to the activation of chemical synaptic coupling through the continuous release of neurotransmitters. Therefore, magnetic field coupling may play a key role in modulating collective behavior among neurons.

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