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doi: 1.138/nature6416 Supplementary Notes Spine Ca 2+ signals produced by glutamate uncaging We imaged uncaging-evoked [Ca 2+ ] transients in neurons loaded with a green Ca 2+ - sensitive indicator (G; 5 µm Fluo 4FF) and a red Ca 2+ -insensitive dye (R; 3 µm Alexa 594) (Supplementary Fig 1a). To calculate [Ca 2+ ] from fluorescence measurements, we used the relationship: G R [ Ca 2+ 2+ ( G R) K + [ Ca ] max = D ] (ref. 1) where (G/R) max is the green-to-red fluorescence ratio at saturating [Ca 2+ ] and the dissociation constant, K D, of Fluo 4FF is 1.4 µm (ref. 1). The presence of Ca 2+ -sensitive indicators increases the cytoplasmic buffer capacity (κ) and decreases the amplitudes of [Ca 2+ ] transients ( [Ca 2+ ]) (ref. 1). The endogenous buffer capacity (κ E ) for hippocampal spines is ~ 2 (ref. 2). The added buffer capacity due to the presence of [Ca 2+ ] indicator (κ dye ) can be calculated as: K D[ B] total κ = (ref. 1) dye ( 2 + K + [ Ca ]) 2 D where [B] total is the total buffer concentration. Therefore 5 µm Fluo 4FF adds a buffer capacity of κ dye ~ 5. NMDA receptor-mediated [Ca 2+ ] accumulations can be described as: 1 2+ [ ] = 1 Vsp Ca Qβ Γt exp exp ( ) 1 Γβ τ NMDA β τ NMDA t (ref. 1) where Q is the total amount (moles) of Ca 2+ influx, V sp is the volume of the spine, Γ is the extrusion rate constant (16 s -1 ) (ref. 2), τ NMDA is the decay time constant of the NMDA receptor-mediated current (~ 1 ms; Supplementary Fig. 1a), and β = (1 + κ E + κ dye ). The time of peak [Ca 2+ ] accumulation, t peak, can be calculated as: t peak = β ln τ Γ NMDA Γ 1 + β τ NMDA www.nature.com/nature 1

doi: 1.138/nature6416 Therefore, peak [Ca 2+ ] accumulations are expected to be reduced by a factor of ~ 1.4 due to the presence of the Ca 2+ indicator. Peak uncaging-evoked [Ca 2+ ] accumulations during the LTP protocol in low extracellular Mg 2+ and 4 mm extracellular Ca 2+ were ~ 3.3 µm (Supplementary Fig 1c), corresponding to ~ 4.6 µm in the absence of indicator. This value is smaller than the Ca 2+ concentrations measured during low-frequency synaptic stimulation at mv (ref. 2) and is therefore in a physiological range. During the subthreshold protocol, peak [Ca 2+ ] accumulations were ~.7 µm (Supplementary Fig 1c), corresponding to ~ 1. µm in the absence of indicator. At a postsynaptic potential of ~ mv in 2 mm extracellular Ca 2+ and 1 mm extracellular Mg 2+, peak [Ca 2+ ] accumulations during the LTP protocol were ~ 1.8 µm (Supplementary Fig 1c), or ~ 2.5 µm without exogenous buffer. During the subthreshold protocol, peak [Ca 2+ ] accumulations were ~.3 µm (Supplementary Fig 1c), corresponding to ~.4 µm in the absence of indicator. Uncaging pulses did not produce detectable [Ca 2+ ] accumulations in nearby spines (< 3 µm from the stimulated spine, mean distance = 1.7 ±.4 µm), either in low extracellular Mg 2+ ( [Ca 2+ ] nearby spine, =.3 ±.4 µm, P >.6; [Ca 2+ ] nearby spine, sub pulse =.2 ±.4 µm, P >.7) or at a postsynaptic potential of ~ mv ( [Ca 2+ ] nearby spine, =.2 ±.3 µm, P >.6; [Ca 2+ ] nearby spine, sub pulse =.1 ±.4 µm, P >.9) (Supplementary Fig 1c). These data show that uncaging-evoked [Ca 2+ ] accumulations were restricted to the stimulated spine. Because [Ca 2+ ] imaging can detect the activation of individual NMDA-Rs 3, these data further indicate that glutamate did not diffuse over intersynaptic distances to stimulate nearby spines. Finally, our [Ca 2+ ] measurements were performed with high concentrations of exogenous buffer, which prolongs the time course and thus promotes the spatial spread of the [Ca 2+ ] signal 2. All plasticity experiments (Figs 1-6, Supplementary Fig 2) were performed without exogenous Ca 2+ buffer and therefore will show even greater compartmentalization of Ca 2+. www.nature.com/nature 2

doi: 1.138/nature6416 Glutamate-independent effects of uncaging Uncaging generates diffusible photoproducts in addition to glutamate, including protons that locally decrease the extracellular ph 4. We tested if the uncaging process and its nonglutamate photoproducts contribute to crosstalk. We applied the LTP protocol (3 pulses at.5 Hz, 4 ms pulse duration; see Fig 1) at a single spine () at a postsynaptic potential of ~ -7 mv, preventing the induction of LTP. Ninety seconds later we applied the subthreshold protocol (3 pulses at.5 Hz, 1 ms pulse duration; see Fig1) at a nearby spine (sub spine), at ~ mv. Under these conditions uepsc amplitudes and spine volumes did not change at either spine ( uepsc = -8 ± 6 %, P >.3; uepsc sub spine = -6 ± 8 %, P >.6; vol = -4 ± 5 %, P >.5; vol sub spine = 3 ± 7 %, P >.7). Non-glutamate photoproducts generated by uncaging therefore did not induce LTP, spine enlargement, or crosstalk. Also, LTP induction and spine enlargement required the pairing of uncaging and postsynaptic depolarization, supporting the involvement of NMDA-Rs (Fig 6b). Finally, these results argue that crosstalk is triggered by LTP induction. References 1. Yasuda, R. et al. Imaging calcium concentration dynamics in small neuronal compartments. Sci STKE 24, pl5 (24). 2. Sabatini, B.S., Oertner, T.G. & Svoboda, K. The life-cycle of Ca 2+ ions in spines. Neuron 33, 439-452 (22). 3. Nimchinsky, E.A., Yasuda, R., Oertner, T.G. & Svoboda, K. The number of glutamate receptors opened by synaptic stimulation in single hippocampal spines. J Neurosci 24, 254-264 (24). 4. Canepari, M., Nelson, L., Papageorgiou, G., Corrie, J.E. & Ogden, D. Photochemical and pharmacological evaluation of 7-nitroindolinyl-and 4- methoxy-7-nitroindolinyl-amino acids as novel, fast caged neurotransmitters. J Neurosci Methods 112, 29-42. (21). www.nature.com/nature 3

doi: 1.138/nature6416 Supplementary Figure 1 a b [Ca2+] 1µm -64 ms 64 ms 448 ms.16.12.8.4 1µm Stim spine mv -.2.2.4.6 Time (s) [Ca2+] [Ca2+].3.2.1 2 pa 5 ms -.2.2.4.6 Time (s) Stim spine Low extracellular Mg 2+.3.2.1 -.2.2.4.6 Time (s) c [Ca2+] peak.16.12.8.4 Stim spine d mv Low [Mg.3 2+ ] ex [Ca2+] peak.2.1 I NMDA (pa) 1 8 6 4 2 Supplementary Figure 1 Characterization of glutamate uncaging pulses. a, Left panels, example [Ca 2+ ] images for individual pulses from the LTP (4 ms pulse duration) and subthreshold (1 ms pulse duration) protocols in low extracellular Mg 2+. The cell was filled with a red Ca 2+ -insensitive dye (R; 3 µm Alexa 594) and a green Ca 2+sensitive dye (G; 5 µm Fluo 4FF). At time =, a single uncaging pulse was given at the spine marked by the solid circle. Right panels, time-course of uncaging-evoked [Ca 2+ ] transients triggered by s (black) and subthreshold pulses (blue) in the stimulated (solid line) and nearby spines (dashed line). Example NMDA-R currents (averaged over 5 trials) are shown. b, [Ca 2+ ] transients in stimulated and nearby spines for LTP or subthreshold pulses at mv (left; in 2 mm extracellular Ca 2+ and 1 mm extracellular Mg 2+ ; n = 14 spines from 3 cells) and in low extracellular Mg 2+ (right; at -7 mv in 4 mm extracellular Ca 2+ and nominally mm extracellular Mg 2+ ; n = 18 spines from 3 cells, mean ± sem). c, Peak [Ca 2+ ] accumulations in stimulated and nearby spines for LTP and subthreshold pulses at mv or in low extracellular Mg 2+. Data are from (b). d, NMDA-R currents for the LTP and subthreshold pulses in low extracellular Mg 2+. NBQX (1 µm) was added to isolated NMDA-R currents. n = 18 spines from 3 cells, mean ± sem. www.nature.com/nature 4

doi: 1.138/nature6416 Supplementary Figure 2 a 2 b LTP protocol Subthreshold protocol Crosstalk 2 c 2 1 1 1 1 2 3 4 d 8 4 LTP Sub Crosstalk 1 2 3 4 e Vol sub spine (%) 12 8 4 2 6 1 1 2 3 4 Distance between spines (µm) Supplementary Figure 2 Crosstalk in cultured rat hippocampal slices. a, Time-course of the spine volume changes induced by the LTP protocol in GFP-expressing CA1 cells. At time = the LTP protocol was applied to the (in low extracellular Mg 2+ ). n = 6, mean ± sem. b, Time-course of the spine volume changes induced by the subthreshold protocol. At time = the subthreshold protocol was applied to the sub spine (in low extracellular Mg 2+ ). n = 5, mean ± sem. c, Time-course of the spine volume changes for the crosstalk case. At time = the LTP protocol was applied to the and, 9 seconds later, the subthreshold protocol was given at a nearby spine (sub spine). n = 6, mean ± sem. d, Spine volume changes for the LTP protocol only, the subthreshold protocol only, and the crosstalk cases. Error bars indicate mean ± sem. e, Length scale of crosstalk. The LTP protocol was applied to the and, 9 seconds later, the subthreshold protocol was applied to a neighboring spine (sub spine). www.nature.com/nature 5

doi: 1.138/nature6416 Supplementary Figure 3 a Control 1 µm -.5 sec 2 sec 1 µm Thapsigargin + Ryanodine b [Ca 2+ ].4.2 Caffeine Control Thapsigargin + Ryanodine 4 8 12 Time (sec) c [Ca 2+ ] peak.4.2 Control Thapsigargin + Ryanodine Supplementary Figure 3 Control for thapsigargin and ryanodine function. a, Example [Ca 2+ ] images before and after caffeine application in the presence or absence of 1 µm thapsigargin and 2 µm ryanodine. The cell was filled with a red (R) Ca 2+ -insensitive dye (3 µm Alexa 594) and a green (G) Ca 2+ -sensitive indicator (5 µm Fluo 4FF). At time =, caffeine (4 mm) was pressure applied onto the soma for 2 seconds. b, Caffeine-induced [Ca 2+ ] transients for the example shown in (a). c, Peak caffeine-induced [Ca 2+ ] accumulations before and after application of thapsigargin and ryanodine. n = 3, p <.1. Supplementary Figure 4 Vehicle or drug Normalized fluorescence 1.8.6.4.2 1 2 Vehicle Anisomycin Cycloheximide Emetine Supplementary Figure 4 Control for protein synthesis inhibitor function. Time-course of the normalized fluorescence intensity of destabilized EGFP in the thick apical dendrite in the presence of vehicle (.1% DMSO), 25 µm anisomycin, 6 µm cycloheximide, and 5 µm emetine. For each condition, n = 2, mean ± sem www.nature.com/nature 6