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1 doi:.38/nture8499

2 doi:.38/nture Firing rte (Hz) V m (mv) c Thet power (mv ) Supplementry Figure Firing rtes, memrne potentil depolriztions, nd thet power for five plce cells recorded intrcellulrly., Firing rtes long the virtul liner trck for 5 plce cells from 5 different nimls. The gry oxes indicte the primry plce field determined y firing rtes. Bottom, verticl lines mrk the loction long the trck of every ction potentil in the recording. These cells re different thn those shown in Figs. 4, 5., Averge seline memrne potentil, excluding ction potentils, sorted y position long the trck for the five plce cells from (). c, Power in the thet-frequency nd sorted y position long the trck for the whole cell recordings from (). Power ws mesured s the squred mplitude of the nd-pss (6- Hz) filtered memrne potentil trce.

3 doi:.38/nture Time (s) Supplementry Figure 3 Trjectories nd spike positions for two exmple plce cells recorded intrcellulrly. Left, the position of the niml long the virtul trck is shown s function of time (gry). Red dots indicte the position nd time of ech spike in the recording. The dots re semi-trnsprent to illustrte overlpping dots. Right, the position long the trck for ll spikes from the recording re shown s horizontl lines. 3

4 doi:.38/nture8499 Numer of spikes Numer of spikes Inter-spike intervl (s) Inter-spike intervl (s) Supplementry Figure 4 Inter-spike intervl distriutions from plce cells recorded intrcellulrly. The time xis is plotted on log scle. 4

5 doi:.38/nture8499 Firing rte (Hz) 6 Position (frction of plce field) 4 ΔV (mv) Supplementry Figure 5 Firing rtes (lck) nd memrne potentil depolriztion (red) for direct runs through the plce field. Dt re tken from Fig. 4e. To compre cross cells, the position vlues in the plce field were normlized. The vlues re verged over 8 cells, including 84 complete runs through the plce field. 5

6 doi:.38/nture mv mv s Numer of rmp-like depolriztions 5 6 Pek ΔV (mv) Supplementry Figure 6 Rmp-like depolriztions during plce field trversls., Exmple memrne potentil trce. Gry oxes indicte the plce field., Histogrm of pek memrne potentil chnges (ΔV), excluding ction potentils, during complete runs through the plce field. Dt re from 84 runs from 8 cells. 6

7 doi:.38/nture8499 V m -69 mv Current injection na s mv na ΔThet power (%) ΔV (mv) Supplementry Figure 7 Memrne potentil thet oscilltions during rmps of depolriztion induced y current injections., Exmple memrne potentil trce. Rmps of current were injected (4 s durtion, -.5 na pek) following seconds without ny current injection., Chnges in thet power s function of depolriztion level. ΔV is the memrne potentil t given point minus the men seline memrne potentil. ΔV vlues were grouped into mv ins; the vlue is plotted t the center of the in. Thet power ws mesured s the squred mplitude of the memrne potentil trce filtered etween 6- Hz. ΔThet power ws clculted s the thet power minus the thet power in the < ΔV < mv in nd plotted s percentge. Error rs indicte men ± sem. n = 6 puttive pyrmidl cells nd plce cell from 3 mice. Dt were consistent etween the plce cell nd the non-plce cells. 7

8 doi:.38/nture Power (mv Hz ).8.4 In-field Out-of-field 3 Frequency (Hz) Power in-field / Power out-of-field 6- Hz 6- Hz Supplementry Figure 8 Spectrl nlysis of intrcellulr memrne potentil recordings., Exmple power spectrum from single cell for epochs inside (lck) nd outside (red) the plce field. Spectr were otined using multi-tper spectrl nlysis., Rtio of power during epochs inside the plce field to power during epochs outside the plce field for nds from 6- Hz nd 6- Hz. Power incresed selectively in the thet-nd during epochs inside the plce field. Error rs indicted men ± sem. n = 8 cells from 8 mice. 8

9 doi:.38/nture8499 Firing rte (Hz) Thet power (mv ) Supplementry Figure 9 Firing rte nd thet power mps for non-plce cells., Firing rte mps from intrcellulr recordings for three puttive CA pyrmidl neurons without plce fields. Bottom, verticl lines mrk the loction long the trck of every ction potentil in the recording., Power in the thet-frequency nd sorted y position long the trck for the cells from (). Power ws mesured s the squred mplitude of the filtered (6- Hz) memrne potentil trce. 9

10 doi:.38/nture8499 Locl field potentil Thet power (mv ) x x -3. mv. s 9 8 Supplementry Figure LFP thet oscilltions., Exmple LFP recording filtered etween Hz nd khz., Two exmples of thet power mps from LFP recordings. Thet power ws mesured s the squred mplitude of the LFP trce filtered etween 6- Hz. LFP thet power ws similr t ll loctions long the virtul trck.

11 doi:.38/nture8499 Δt = t LFP, - t intr, Δt Δt 5 Intrcellulr thet LFP thet 4 Δt (ms) Intrcellulr thet Δt intr, Δt intr,4 Δt LFP, Δt LFP,4 LFP thet Numer of in-field counts 3 5 In-field Out-of-field.5.5 Δt intr,i / Δt LFP,i 6 3 Numer of out-of-field counts Supplementry Figure Frequency comprison of intrcellulr thet oscilltions nd LFP thet fluctutions from simultneous LFP nd whole cell recordings., Phse shift of intrcellulr thet oscilltions reltive to LFP thet oscilltions during plce field trversls. Δt ws defined s the time etween the first LFP thet pek in the plce field nd the first intrcellulr thet pek, the time difference etween the second LFP pek nd the second intrcellulr pek, nd so on. Position vlues re from positions long the virtul trck. Exmples from cells re shown., Comprison of the periods of intrcellulr nd LFP thet oscilltions. To compre periods in the plce field, rtio of the period of the first intrcellulr thet oscilltion to the period of the first LFP thet oscilltion, the rtio of the period of the second intrcellulr oscilltion to the period of the second LFP oscilltion, nd so on were clculted. Segments of length 3 seconds were nlyzed for times outside the plce field. Dt re from cells from mice.

12 doi:.38/nture mv 5 mv ms -63 mv 5 mv 5 ms Supplementry Figure Exmple suthreshold phenomen from whole cell recordings., Brief, smll mplitude spikelets re mrked y rrows., Bursts of ction potentils were in some cses followed y prolonged depolriztion with rodened ction potentils.

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