Synchronization of neuron population subject to steady DC electric field induced by magnetic stimulation

Abstract

Electric fields, which are ubiquitous in the context of neurons, are induced either by external electromagnetic fields or by endogenous electric activities. Clinical evidences point out that magnetic stimulation can induce an electric field that modulates rhythmic activity of special brain tissue, which are associated with most brain functions, including normal and pathological physiological mechanisms. Recently, the studies about the relationship between clinical treatment for psychiatric disorders and magnetic stimulation have been investigated extensively. However, further development of these techniques is limited due to the lack of understanding of the underlying mechanisms supporting the interaction between the electric field induced by magnetic stimulus and brain tissue. In this paper, the effects of steady DC electric field induced by magnetic stimulation on the coherence of an interneuronal network are investigated. Different behaviors have been observed in the network with different topologies (i.e., random and small-world network, modular network). It is found that the coherence displays a peak or a plateau when the induced electric field varies between the parameter range we defined. The coherence of the neuronal systems depends extensively on the network structure and parameters. All these parameters play a key role in determining the range for the induced electric field to synchronize network activities. The presented results could have important implications for the scientific theoretical studies regarding the effects of magnetic stimulation on human brain.

The Effects of Medium Spiny Neuron Morphologcial Changes on Basal Ganglia Network under External Electric Field: A Computational Modeling Study

“…Where φ, V e represents the magnetic flux across the membrane and additive induction membrane induced by external magnetic stimulation, respectively. In fact, V e = A e sin (ω t ) is alternating current electric field mentioned above, which can be seen as an additive perturbation to the membrane potential ( V cor ) (Yu et al, 2013 ). This time, we change υ cor to υ cor + V e , and .…”

Computational modeling of neurostimulation in brain diseases

“…Interestingly, when Rusu et al (2015) introduced a current input with a monophasic waveform shape to neurons, they found that current shape does not have a great impact on results. At the mesoscopic scale, most models approximate TMS stimulation as an additional input to the membrane potential of some or all neurons (Miyawaki and Okada, 2005;Miyawaki et al, 2012;Yu et al, 2013). The proportion of the population stimulated varies to represent different pulse strengths (Esser et al, 2005).…”

Collective responses in electrical activities of neurons under field coupling

“…The influence of the biological effects of electromagnetic fields on human health has been investigated, and electromagnetic radiation-induced disease and abnormality in nervous systems (such as memory loss and other symptoms) were also discussed 46 – 55 . On the other hand, the dynamics of neuronal activities in presence of electromagnetic field also became attractive 56 – 58 . In fact, by further improving the computational models for neuron 59 , 60 and cardiac tissue 61 , 62 , the physical effect can be described by using magnetic flux associated with time-varying electromagnetic field.…”