Mesoscopic description of hippocampal replay and metastability in spiking neural networks with short-term plasticity
Fig 4
Hippocampal replay in micro- and mesoscopic ring-attractor network model.
(A) Ring-attractor model of M population units of N LNP spiking neurons with STD. Synaptic weights Jα,β are excitatory for units with nearby place field positions θα and inhibitory at longer distances, see the coupling function on the right. (B) Mesoscopic and (C) microscopic network simulations reveal (i) spontaneous bursts of the averaged activity, resembling SWs, during which replay patterns evolve as (ii) metastable traveling waves, or nonlocal replay events (NLE), along the circular environment—the expected activity rj = f(hj) at location θj = 2πj/M, j = 1, …, M is color-coded. Statistics of the (D) mesoscopic and (E) microscopic simulations perfectly match each other with respect to: (i) the distribution of event duration, (ii) the correlation between the number of peaks per burst and its duration, (iii) the correlation between the length of the traveled path during an event and its duration (the red curves in panels (ii,iii) are linear regression curves), as well as (iv) the distribution of average bump speed during an event, computed from events with more than one peak; see Methods for more details, Table 1 for model parameters and Table 2 for simulation results.