Figure 4:
Nonequilibrium capacity of place cell networks limits retrieval of spatial memories at finite velocity. (a) Place cell networks model the storage of multiple spatial memories in parts of the hippocampus by coding multiple continuous attractors in the same set of neurons. Neural connections encoding spatial memory 2, 3, … act like long-range disorder for spatial memory 1. Such disorder, through an increased effective temperature, reduces the probability of tracking a finite velocity driving signal. (b) The probability of successful retrieval, Pretrieval, decreases with the number of simultaneous memories M and velocity v (with N=4000,p=10,ε=0.35,τ=1,J=100,d=10,w=30 held fixed). (c) Pretrieval simulation data collapse when plotted against M/(N/(logN)2) (parameters same as panel b with v=0.8 held fixed and N varies). (d) The nonequilibrium capacity Mc as a function of retrieval velocity v.

Nonequilibrium capacity of place cell networks limits retrieval of spatial memories at finite velocity. (a) Place cell networks model the storage of multiple spatial memories in parts of the hippocampus by coding multiple continuous attractors in the same set of neurons. Neural connections encoding spatial memory 2, 3, … act like long-range disorder for spatial memory 1. Such disorder, through an increased effective temperature, reduces the probability of tracking a finite velocity driving signal. (b) The probability of successful retrieval, Pretrieval, decreases with the number of simultaneous memories M and velocity v (with N=4000,p=10,ε=0.35,τ=1,J=100,d=10,w=30 held fixed). (c) Pretrieval simulation data collapse when plotted against M/(N/(logN)2) (parameters same as panel b with v=0.8 held fixed and N varies). (d) The nonequilibrium capacity Mc as a function of retrieval velocity v.

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