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. 2017 Oct 24;21(4):1102–1115. doi: 10.1016/j.celrep.2017.10.013

Figure 6.

Figure 6

Validation Based on the Exclusivity and Transitivity Principles and on Place-Field Stability across Days

(A and B) Internal consistency between the model and the data. Exclusivity (A) and transitivity (B) measures for the centroid distances (red), spatial correlations (blue), and joint (green) models. (A) Top: illustration of the exclusivity principle. Bottom: distribution of Psame with additional pairing candidates, computed for cell-pairs from different sessions with Psame > 0.5. Insets: bottom, zoom-in on the lower area of the distribution; top, fraction of non-exclusive cell-pairs, i.e., Psame > 0.5 (mean ± SEM). (B) Top: illustration of the transitivity principle. Bottom: distribution of Psame for cell-pairs from different sessions, where each had Psame > 0.5 with the same cell from a third session. Insets: bottom, zoom-in on the lower area of the distribution; top, fraction of non-transitive cell-pairs, i.e., Psame < 0.5 (mean ± SEM). Data in (A) and (B) were pooled from an N of 12 mice.

(C–F) Validation based on place-field stability across days.

(C) Average place-field correlation between cell-pairs across days given their centroid distances and spatial correlations. The black area represents centroid distances and spatial correlations with no cell-pairs.

(D) Distribution of place-field positional shifts across days for cell-pairs with Psame > 0.95 (blue), 0.05 ≤ Psame ≤ 0.95 (red), and Psame < 0.05 (green) and for shuffled data (black). Inset: the cumulative fraction of cell-pairs as a function of the absolute value of the positional shift.

(E) Average fraction of neighboring cell-pairs with positional shifts ≤6 cm (blue) or place-field correlations >0.5 (purple) increase with Psame (linear regression: r2 = 0.94, p = 0.0015; and r2 = 0.93, p = 0.0018, respectively; SD is indicated with a shaded area).

(F) Distribution of place-field positional shifts for cell-pairs taken from cell registers (blue) and shuffled data (black). Inset: the cumulative fraction of cell-pairs as a function of the absolute value of the positional shift. Data in (C)–(F) were pooled from an N of 5 mice.

See also Movie S1.