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Variable Timescales of Repeated Spike Patterns in Synfire Chain with Mexican-Hat Connectivity

hammer{at}brain.riken.jp RIKEN, Brain Science Institute, Wako-shi, Saitama, 351-0198, Japan

Masato Okada

okada{at}k.u-tokyo.ac.jp RIKEN, Brain Science Institute, Wako-shi, Saitama, 351-0198, Japan; Department of Complexity Science and Engineering, University of Tokyo, Kashiwa, Chiba, 277-8561, Japan; and Intelligent Cooperation and Control, PRESTO, JST, Saitama, 351-0198, Japan

Kazuyuki Aihara

aihara{at}sat.t.u-tokyo.ac.jp Institute of Industrial Science, University of Tokyo, Meguro, Tokyo 153-8505, Japan, and ERATO Aihara Complexity Modeling Project, JST, Shibuya-ku, Tokyo 151-0065, Japan

Repetitions of precise spike patterns observed both in vivo and in vitro have been reported for more than a decade. Studies on the spike volley (a pulse packet) propagating through a homogeneous feedforward network have demonstrated its capability of generating spike patterns with millisecond fidelity. This model is called the synfire chain and suggests a possible mechanism for generating repeated spike patterns (RSPs). The propagation speed of the pulse packet determines the temporal property of RSPs. However, the relationship between propagation speed and network structure is not well understood. We studied a feedforward network with Mexican-hat connectivity by using the leaky integrate-and-fire neuron model and analyzed the network dynamics with the Fokker-Planck equation. We examined the effect of the spatial pattern of pulse packets on RSPs in the network with multistability. Pulse packets can take spatially uniform or localized shapes in a multistable regime, and they propagate with different speeds. These distinct pulse packets generate RSPs with different timescales, but the order of spikes and the ratios between interspike intervals are preserved. This result indicates that the RSPs can be transformed into the same template pattern through the expanding or contracting operation of the timescale.