Modes of electrical activities and energy of Hindmarsh-Rose model coupled by memristive synapses

Few years ago, the 2D Hindmarsh-Rose model has been modified to obtain a 3D Hindmarsh-Rose model by considering the effect of electromagnetic induction. However, recently it has been discovered that with the 2D Hindmarsh-Rose model, we can couple two neurons by considering a magnetic induction field brought by the memristor. That memristor creates an induced current which flows in the neuronal network. We could add to that induced current an external current. In this work we study the modes of electrical activities and the Hamiltonian energy of Hindmarsh-Rose model coupled by Memristive electromagnetic where an additive current is added to the neuronal network. Results showed that the neuronal network exhibits fast spiking behavior which becomes more faster when there is an increase in the value of the external current. Furthermore, we observed that the neuronal network needs more energy to fire when the external current is added.

Automated summary

Recent research has found that by considering the magnetic induction field brought by a memristor, two neurons can be coupled using the 2D Hindmarsh-Rose model. The memristor generates an induced current that flows through the neuronal network. By adding an external current to this induced current, the modes of electrical activities and the Hamiltonian energy of the coupled Hindmarsh-Rose model have been studied. Results showed that the neuronal network exhibits fast spiking behavior, which becomes even faster with an increase in the value of the external current. Additionally, it was observed that the neuronal network requires more energy to fire when the external current is added.