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. Author manuscript; available in PMC: 2008 May 31.
Published in final edited form as: Hippocampus. 2007;17(12):1252–1271. doi: 10.1002/hipo.20374

Figure 5.

Figure 5

Differences in speed require scaling of dendrite frequency by speed. A. The same frequencies used in Figure 4A are used with a rat speed of 10 cm/sec. The time scale is doubled to show the same range of spatial movement of the rat. The period of interference is still 2.04 sec, but at a speed of 10 cm/sec the spacing between firing is about 20 cm. B. Modulation of dendrite frequency proportional to speed ensures that grid cell field spacing stays the same. For a speed of 10 cm/sec, the speed-scaled modulation results in the dendrite frequency being 6.67 Hz. This reduces the interference frequency to 0.25 Hz and increases the period to 4 sec. This results in a spatial wavelength of 40 cm. The same spatial wavelength was obtained in Figure 4A at a speed 20 cm/sec, where dendrite frequency was modulated to 6.91 Hz, causing a period of 2 seconds and wavelength of 40 cm.