A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology
Figure 2
Distributions of firing rate and place field size collected by recording place cell firing as a rat explores a linear track.
A typical place cell fires at a rate of ∼10–20 Hz and place fields typically range from 10 to 30 cm across. These experimentally derived distributions serve as realistic constraints on our simulated data by providing proportionality coefficients a and b so that the shape of the distributions P(f) and P(s) mimics those derived from the experiments. From the data depicted here, a = 1.2 and b = 1.7.