王青云-生物神经元网络动力学的研究进展.pptVIP

Some Recent Study in Biological Neuronal Oscillatory Networks Qingyun Wang(王青云) Diversity of firing patterns of a single neuron(in experimental neural pacemakers) (Li Li, Ren Wei, 2003, 2004 )  Bifurcation scenario (in theoretical model and experimental neural pacemakers)(Li Li, Ren Wei et al, IJBC, 2004. Duan Li Xia et al, Neurocomputing 2008) Chaos (in experimental neural pacemakers) between period 2 and period 3 firings (Ren Wei, IJBC, 1997)  Neuronal networks What is a Brain? dense network more than 104 cell bodies and several kilometers of `wires per cubic millimeter. Many types of cells: spiking neurons (1011 cells), glia cells (`supporter cells not involved in the information processing) and analog neurons. Synapse and delay Neuronal networks Neuronal synchronization Synchronization seems to be very crucial for the efficient processing and transmission of information across the nerve system. Parkinsons tremor is related to neuronal synchronization. Transiently synchronized assemblies of neurons are believed to underlie cognitive functions. There is consistent evidence for a reduction of synchronization in schizophrenia. Classification of synchronization Singular phase locking Analysis method of phase locking Singular perturbation theory (Terman etal, J Comput Neurosci (2007) 23:217–235) Phase response curve (discrete map method) Incorporating noise and delay Noise induced (enhanced) synchronization. (two coupled neurons and large scale neuronal networks) Noise induced spatiotemporal wave patterns (target wave, spiral wave (Ma jun), spatial coherence) Delay induced complexity in neuronal networks (various synchronization transition and spatial coherence) Effect of delay on two coupled neurons Effect of delay on large scale neuronal networks Measure: (Continued) Increasing delay Attractive coupling Repulsive coupling Bursting period Resonance Resonance of a single HH neuron Resonance Spatial resonance of networks Spatial coherence reso