Defects formation and spiral waves in a network of neurons in presence of electromagnetic induction

Abstract

Complex anatomical and physiological structure of an excitable tissue (e.g., cardiac tissue) in the body can represent different electrical activities through normal or abnormal behavior. Abnormalities of the excitable tissue coming from different biological reasons can lead to formation of some defects. Such defects can cause some successive waves that may end up to some additional reorganizing beating behaviors like spiral waves or target waves. In this study, formation of defects and the resulting emitted waves in an excitable tissue are investigated. We have considered a square array network of neurons with nearest-neighbor connections to describe the excitable tissue. Fundamentally, electrophysiological properties of ion currents in the body are responsible for exhibition of electrical spatiotemporal patterns. More precisely, fluctuation of accumulated ions inside and outside of cell causes variable electrical and magnetic field. Considering undeniable mutual effects of electrical field and magnetic field, we have proposed the new Hindmarsh-Rose (HR) neuronal model for the local dynamics of each individual neuron in the network. In this new neuronal model, the influence of magnetic flow on membrane potential is defined. This improved model holds more bifurcation parameters. Moreover, the dynamical behavior of the tissue is investigated in different states of quiescent, spiking, bursting and even chaotic state. The resulting spatiotemporal patterns are represented and the time series of some sampled neurons are displayed, as well.

Influence of Electric Current and Magnetic Flow on Firing Patterns of Pre-Bötzinger Complex Model

“…Parastesh et al proposed a new memory function based on discontinuous flux coupling and studied various dynamic characteristics of discontinuous flux coupling neuron models [ 27 ]. Considering the mutual influence of electric and magnetic fields, Rostami and Jafari described a new Hindmarsh-Rose (HR) neuron model with more bifurcation parameters to study the formation of defects in excitable tissues and the resulting emission waves [ 28 ]. Although there have been some studies on the influence of electromagnetic fields on neuronal activity patterns, little attention has been paid to the influence of electromagnetic currents on pre-BötC.…”

Modulation of Astrocytes on Mode Selection of Neuron Firing Driven by Electromagnetic Induction

“…Yuan numerically study the delay effect of external stimulation with consideration of magnetic flux [ 29 ]. Besides, many studies focus on collective behaviors in neuron network and pattern formation and stability loss process controlled by electromagnetic field effects [ 30 ]. In particular, Tian et al consider magnetic flux in a chain-shape network of neurons and discovery the chimera state, a coexistence of synchronization and disorder state [ 31 ].…”

Dynamical behavior and network analysis of an extended Hindmarsh–Rose neuron model

“…Thus it has been studied extensively in neuronal networks [29][30][31][32]. On the other hand, the wave propagation plays an important role in the excitable biological cells [33]. Spiral wave is a special self-organized pattern which seems to be a considerable fundamental of reentrant excitation in the cardiac tissue [34].…”