Quantification of synchronization phenomena in two reciprocally gap-junction coupled bursting pancreatic b-cells 

Jing Wang, Shenquan Liu, Xuanliang Liu

This paper aims to discuss our research into synchronized transitions in two reciprocally gap-junction coupled bursting pancreaticb-cells. Numerical results revealed that propaga-tions of synchronous states could be induced not only by changing the coupling strength,but also by varying the slow time constant. Firstly, these asynchronous and synchronous states such as out-of-phase, almost in-phase and in-phase synchronization were specifi-cally demonstrated by phase portraits and time evolutions. By comparing interspike inter-vals (ISI) bifurcation diagrams of two coupled neurons with an individual neuron, we found that coupling strength played a critical role in tonic-to-bursting transitions. In particular,with the phase difference and ISI-distance being introduced, regions of various synchro-nous and asynchronous states were plotted in a two-dimensional parameter space. More interestingly, it was found that the coupled neurons could always realize complete syn-chronization as long as the coupling /Uploads/file/20190222/20190222220716641664.pdfstrength was appropriate.