کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
758387 | 896426 | 2012 | 19 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Bursting synchronization in networks with long-range coupling mediated by a diffusing chemical substance Bursting synchronization in networks with long-range coupling mediated by a diffusing chemical substance](/preview/png/758387.png)
Many networks of physical and biological interest are characterized by a long-range coupling mediated by a chemical which diffuses through a medium in which oscillators are embedded. We considered a one-dimensional model for this effect for which the diffusion is fast enough so as to be implemented through a coupling whose intensity decays exponentially with the lattice distance. In particular, we analyzed the bursting synchronization of neurons described by two timescales (spiking and bursting activity), and coupled through such a long-range interaction network. One of the advantages of the model is that one can pass from a local (Laplacian) type of coupling to a global (all-to-all) one by varying a single parameter in the interaction term. We characterized bursting synchronization using an order parameter which undergoes a transition as the coupling parameters are changed through a critical value. We also investigated the role of an external time-periodic signal on the bursting synchronization properties of the network. We show potential applications in the control of pathological rhythms in biological neural networks.
► We performed numerical simulations of neuron networks exhibiting bursting synchronization.
► We discuss ways to suppress this synchronization using different control procedures.
► The interactions in our model are based on the diffusion of chemicals released and absorbed by neurons.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 7, July 2012, Pages 2924–2942