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Supplementary Figure 1: Sample IEDs. (a) Sample hippocampal IEDs from different kindled rats (scale bar = 200 µv, 100 ms). (b) Sample temporal lobe IEDs from different subjects with epilepsy (scale bar = 60 µv, 100 ms).

Supplementary Figure 2: Characteristics of ripples over the course of kindling. (a) Sample detected baseline ripples. (b) Sample detected ripples in the kindled state (scale bar for all = 200 µv, 50 ms). (c) Average filtered ripple waveform for baseline (blue) and kindled state (green; scale bar = 50 µv, 20 ms; n = 1,282 baseline and 1,326 kindled ripples in four rats). (d) Average spectrogram of baseline ripples (left) and kindled ripples (right). Z-scored power scale (color) is the same for both plots (n = 100 baseline, 100 kindled ripples from one rat; similar results in all rats). (e) Probability distribution of z- scored power in the 300 500 Hz band for baseline and kindled ripples (n = 3,225 baseline and 1,357 kindled ripples from four rats; Kolmogorov-Smirnov P = 2.7 10 93 ). (f) Probability distribution of duration for baseline and kindled ripples (inset: changes in mean (open circle) and median (open square) ripple duration in each rat (separate colors) from baseline to kindled state; tails of box plot = 25 th and 75 th percentiles; n = 2,270 baseline and 2,660 kindled ripples from four rats). (g) Probability distribution of mean frequency for baseline and kindled ripples (same conventions and n as (f); Wilcoxon P = 3.1 10 82 ).

Supplementary Figure 3: Performance, IED, and ripple rates across behavioral protocol. (a) Memory performance score across kindling; different colors represent individual rats. (b) IED occurrence across the behavioral protocol; colors as in (a). (c) Ripple occurrence across the behavioral protocol; colors as in (a).

Supplementary Figure 4: IED-spindle cross-correlation in individual rats. (a d) Crosscorrelograms of hippocampal IEDs and mpfc spindles for individual rats (a = 8 sessions, 6,432 IEDs, 5,529 spindles; b = 15 sessions, 1,752 IEDs, 14,897 spindles; c = 11 sessions, 2,630 IEDs, 8,340 spindles; d = 13 sessions, 4,627 IEDs, 9,069 spindles). Red lines represent 95% confidence intervals.

Supplementary Figure 5: Comparison of ripple- and IED-spindle coupling over the course of kindling. (a) Changes in spindle occurrence variability for epochs of IED occurrence (top trace one kindled session) compared to ripple occurrence (bottom trace one baseline session). Dashed line represents time of IED/ripple occurrence; scale bar = 2 s. (b) Quantification of spindle occurrence variability between ripples (blue), and IEDs (red). n = 8 sessions (IEDs), 4 sessions (baseline ripples) from four rats; bars = mean ± s.e.m.; Wilcoxon P = 0.004. (c) Probability of spindle following a ripple/ied (n = 11 baseline sessions and 15 kindled sessions from four rats; bars = mean ± s.e.m.; Wilcoxon P = 2 10 4 ). (d) Average mpfc spectrogram following ripple (z-scored power scale as in Fig. 3; inset: averaged power spectrum (mean ± s.e.m.) before (green) and after (blue) ripple). (e) Change in mpfc z-scored spindle power before vs. after hippocampal ripple in baseline state (rip), ripple in the kindled state (kin rip), and IED (n = 10 baseline sessions and 17 kindled sessions from four rats; bars = mean ± s.e.m.; Kruskal-Wallis P = 3 10 5 ). (f) Correlation of ripples with spindles in the baseline state (blue) compared to the kindled state (green; inset: latency from peak ripple time to spindle start in these states). * = Wilcoxon P < 0.05; ** = P < 0.01.

Supplementary Figure 6: mpfc gamma power and neural firing in response to hippocampal ripples and IEDs during kindling. (a) Average gamma band (20 50 Hz) power corresponding to mpfc sharp transient generated by hippocampal ripple in the baseline state (blue), ripple in the kindled state (green), or IED (red). Time of hippocampal event occurrence = 0; traces are mean ± s.e.m.; n = 11 baseline and 14 kindled sessions from four rats. (b) Average z-scored mpfc putative pyramidal cell firing in response to hippocampal events (conventions as in (a); scale = 1 z-score; n = 263 baseline units and 605 kindled units). (c) Average z-scored mpfc putative interneuron firing in response to hippocampal events (conventions as in (a); scale = 1 z-score; n = 23 baseline units and 17 kindled units).

Supplementary Figure 7: Ability of hippocampal a-ieds to evoke mpfc spindles across behavioral states in normal and kindled rats. (a) Averaged baseline a-ied LFP traces (Or = stratum oriens, Pyr = pyramidal cell layer, Rad = stratum radiatum; scale bar = 2 mv, 100 ms). (b) Hippocampal a-ied (blue) and simultaneous mpfc LFP (red) across behavioral states for a baseline rat (scale bar = 200 ms; stimulation artifacts clipped). (c) Average mpfc spectrogram following hippocampal a-ied across states in baseline rat (inset: averaged power spectrum (mean ± s.e.m.) before (green) and after (blue) a-ied). (d) Averaged kindled a-ied LFP traces (same rat and scale as in (a)). (e) Hippocampal a- IED (blue) and simultaneous mpfc LFP (red) across behavioral states for kindled rat (same rate and scale as in (b)). (f) Average mpfc spectrogram following hippocampal a- IED across states in kindled rat (inset: averaged power spectrum (mean ± s.e.m.) before (green) and after (blue) a-ied). (g) Change in z-scored mpfc spindle-band power before and after hippocampal a-ied across behavioral states for each of four conditions; low/high represents amplitude of hippocampal a-ied and baseline/kindled represents rats before and after kindling. n = 5 sessions per condition from three rats; bars = mean ± s.e.m.; ** = P < 0.01 for baseline high vs. kindled high. NREM: Kruskal-Wallis P = 2.2 10 14 ; baseline low vs. baseline high P = 0.003; baseline low vs. kindled low P = 3.5 10 5 ; baseline low vs. kindled high P = 3.3 10 15 ; baseline high vs. kindled high P = 7.9 10 5 ; kindled low vs. kindled high P = 0.004 (Bonferroni correction); REM: Kruskal- Wallis P = 1.5 10 8 ; baseline low vs. kindled low P = 0.002; baseline low vs. kindled high P = 5.1 10 9 ; baseline high vs. kindled high P = 0.009; (Bonferroni correction); Wake: Kruskal-Wallis P = 5.7 10 10 ; baseline low vs. kindled high P = 6.1 10 9 ; baseline high vs. kindled high P = 2.7 10 7 ; kindled low vs. kindled high P = 5.4 10 4 (Bonferroni correction).

Subject # (1) (2) (3) (4) Age (yr) 27 56 35 25 Gender M F F M Seizure semiology Structural neuroimaging Age at onset of epilepsy (yr) Affected hemisphere Seizure onset zone Interictal distribution Interictal electrode for analysis MNI coordinates IED-correlated spindle distribution focal dyscognitive focal dyscognitive visual aura; focal dyscognitive with generalization normal normal bilateral hippocampal sclerosis 19 46 0.1 9 R L L R middle temporal parahippocampal, entorhinal, lateral temporal lobe, hippocampus parahippocampal 26.7 24.0 16.7 superior frontal, middle frontal, inferior frontal parahippocampal, entorhinal parahippocampal, entorhinal, amygdala; rare middle frontal, pars opercularis parahippocampal 14.0 9.0 14.0 superior frontal, precentral, postcentral lateral temporal parahippocampal, entorhinal, fusiform, hippocampus, lateral temporal lobe, precuneus, supramarginal hippocampal white matter 29.0 29.3 1.3 superior frontal, middle frontal, inferior frontal, precentral Supplementary Table 1: Demographic and anatomical characterization of subjects with epilepsy. R = right; L = left. focal somatosensory/motor (face), focal dyscognitive normal postcentral/precentral precentral, middle frontal, postcentral, supramarginal, insula precentral 56.0 5.3 44.7 superior frontal, middle frontal, inferior frontal

Subject # (1) (2) (3) (4) % IEDspi corr spi corr spi corr spi corr % IED- % IED- % IED- # CH # CH # CH # CH Frontal 49 38 34 40 39 32 72 38 Temporal 37 41 15 32 11 33 28 42 Parietal 14 16 51 14 30 14 13 3 Occipital N/A 0 0 4 20 6 N/A 0 Supplementary Table 2: Mean percentage of IED-spindle correlation distributed between broad anatomical brain regions in subjects with epilepsy. % IED-spi corr: mean IEDspindle correlation was calculated over electrodes located in each brain region and represented as a percentage relative to other brain regions; # CH: total number of electrodes placed on the surface of the brain in each brain region.