Table 1

Model symbols and parameters

Description (value)Symbol
Tortuosity of the running trajectory (1 radian)σθ
Spatial location/running speed/running direction and at time trt /vt/θt
Long-term mean of the speed (30 cm/s)v
Time step of the running trajectory (10 ms)
Duration of the training/testing running trajectory (3600/1200 s)
Spatial location in the environmentr
Spatiotemporal response at spatial location r at time tf(r,t)
Spatial receptive fieldfs(r)
Amplitude/center/radius of the spatial receptive fieldαc/rc /R
Phase modulation at spatial location r at time tfϕ(r,t)
Level of phase modulation (uniformly sample from [0.8 1.2])kϕ
Frequency of the theta rhythm (10 Hz)F
Firing phase at location rϕ(r)
Entry phase of phase precession (uniformly sampled from [300° 340°])ϕ0
Phase change of phase precession (uniformly sampled from [300° 340°])Δϕ
Projected center/radius of the spatial receptive field onto running directionr /R
Fitted spatial receptive fields of modelled hippocampal cellsf̂s(r)
Amplitude/center/radius of the fitted spatial receptive fieldα̂c /r̂c /R̂
Fitted level of phase modulationk̂ϕ
Fitted frequency of theta rhythmF̂
Fitted phase of the temporal responseϕ̂
Membrane time constant of modelled hippocampal cells (10 ms)τ
Membrane potentials of modelled hippocampal cellsu
Firing rates of modelled hippocampal cellss
Firing rates of EC input cellsI
Excitatory connection: EC input cells to modelled hippocampal cellsA
Firing threshold of modelled hippocampal cells (0.3)β
Learning rate (0.01)η
Time step of computing modelled hippocampal cells by Equation 7 (0.2 ms)
Number of modelled hippocampal cells in scenarios 1, 2, and 3 (100)
Number of MEC spatiotemporal grid cells in scenarios 1, 2, and 3 (900)
Number of EC weakly spatial cells in scenarios 2 and 3 (400)