Tortuosity of the running trajectory (1 radian) | σθ |
Spatial location/running speed/running direction and at time t | rt
/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 environment | r |
Spatiotemporal response at spatial location r at time t | f(r,t)
|
Spatial receptive field | fs(r)
|
Amplitude/center/radius of the spatial receptive field | αc/rc
/R |
Phase modulation at spatial location r at time t | fϕ(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 r | ϕ(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 direction | r′
/R′ |
Fitted spatial receptive fields of modelled hippocampal cells | f̂s(r)
|
Amplitude/center/radius of the fitted spatial receptive field | α̂c
/r̂c
/R̂
|
Fitted level of phase modulation | k̂ϕ
|
Fitted frequency of theta rhythm | F̂
|
Fitted phase of the temporal response | ϕ̂
|
Membrane time constant of modelled hippocampal cells (10 ms) | τ |
Membrane potentials of modelled hippocampal cells | u |
Firing rates of modelled hippocampal cells | s |
Firing rates of EC input cells | I |
Excitatory connection: EC input cells to modelled hippocampal cells | A |
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) | |