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The dynamics of a neural model for hippocampal place cells storing spatialmaps is studied. In the absence of external input, depending on the number ofcells and on the values of control parameters (number of environments stored,level of neural noise, average level of activity, connectivity of place cells),a 'clump' of spatially-localized activity can diffuse, or remains pinned due tocrosstalk between the environments. In the single-environment case, themacroscopic coefficient of diffusion of the clump and its effective mobilityare calculated analytically from first principles, and corroborated bynumerical simulations. In the multi-environment case the heights and the widthsof the pinning barriers are analytically characterized with the replica method;diffusion within one map is then in competition with transitions betweendifferent maps. Possible mechanisms enhancing mobility are proposed and tested.

physical review. e, statistical, nonlinear and soft matter physics

Crosstalk and transitions between multiple spatial maps in an attractor  neural network model of the hippocampus: Collective motion of the activity  (II)