@article{1937, abstract = {We prove the edge universality of the beta ensembles for any β ≥ 1, provided that the limiting spectrum is supported on a single interval, and the external potential is C4 and regular. We also prove that the edge universality holds for generalized Wigner matrices for all symmetry classes. Moreover, our results allow us to extend bulk universality for beta ensembles from analytic potentials to potentials in class C4.}, author = {Bourgade, Paul and Erdös, László and Yau, Horngtzer}, journal = {Communications in Mathematical Physics}, number = {1}, pages = {261 -- 353}, publisher = {Springer}, title = {{Edge universality of beta ensembles}}, doi = {10.1007/s00220-014-2120-z}, volume = {332}, year = {2014}, } @article{2176, abstract = {Electron microscopy (EM) allows for the simultaneous visualization of all tissue components at high resolution. However, the extent to which conventional aldehyde fixation and ethanol dehydration of the tissue alter the fine structure of cells and organelles, thereby preventing detection of subtle structural changes induced by an experiment, has remained an issue. Attempts have been made to rapidly freeze tissue to preserve native ultrastructure. Shock-freezing of living tissue under high pressure (high-pressure freezing, HPF) followed by cryosubstitution of the tissue water avoids aldehyde fixation and dehydration in ethanol; the tissue water is immobilized in â ̂1/450 ms, and a close-to-native fine structure of cells, organelles and molecules is preserved. Here we describe a protocol for HPF that is useful to monitor ultrastructural changes associated with functional changes at synapses in the brain but can be applied to many other tissues as well. The procedure requires a high-pressure freezer and takes a minimum of 7 d but can be paused at several points.}, author = {Studer, Daniel and Zhao, Shanting and Chai, Xuejun and Jonas, Peter M and Graber, Werner and Nestel, Sigrun and Frotscher, Michael}, journal = {Nature Protocols}, number = {6}, pages = {1480 -- 1495}, publisher = {Nature Publishing Group}, title = {{Capture of activity-induced ultrastructural changes at synapses by high-pressure freezing of brain tissue}}, doi = {10.1038/nprot.2014.099}, volume = {9}, year = {2014}, } @article{2226, abstract = {Coriolis force effects on shear flows are important in geophysical and astrophysical contexts. We report a study on the linear stability and the transient energy growth of the plane Couette flow with system rotation perpendicular to the shear direction. External rotation causes linear instability. At small rotation rates, the onset of linear instability scales inversely with the rotation rate and the optimal transient growth in the linearly stable region is slightly enhanced ∼Re2. The corresponding optimal initial perturbations are characterized by roll structures inclined in the streamwise direction and are twisted under external rotation. At large rotation rates, the transient growth is significantly inhibited and hence linear stability analysis is a reliable indicator for instability.}, author = {Shi, Liang and Hof, Björn and Tilgner, Andreas}, issn = {15393755}, journal = {Physical Review E Statistical Nonlinear and Soft Matter Physics}, number = {1}, publisher = {American Institute of Physics}, title = {{Transient growth of Ekman-Couette flow}}, doi = {10.1103/PhysRevE.89.013001}, volume = {89}, year = {2014}, } @article{2954, abstract = {Spontaneous postsynaptic currents (PSCs) provide key information about the mechanisms of synaptic transmission and the activity modes of neuronal networks. However, detecting spontaneous PSCs in vitro and in vivo has been challenging, because of the small amplitude, the variable kinetics, and the undefined time of generation of these events. Here, we describe a, to our knowledge, new method for detecting spontaneous synaptic events by deconvolution, using a template that approximates the average time course of spontaneous PSCs. A recorded PSC trace is deconvolved from the template, resulting in a series of delta-like functions. The maxima of these delta-like events are reliably detected, revealing the precise onset times of the spontaneous PSCs. Among all detection methods, the deconvolution-based method has a unique temporal resolution, allowing the detection of individual events in high-frequency bursts. Furthermore, the deconvolution-based method has a high amplitude resolution, because deconvolution can substantially increase the signal/noise ratio. When tested against previously published methods using experimental data, the deconvolution-based method was superior for spontaneous PSCs recorded in vivo. Using the high-resolution deconvolution-based detection algorithm, we show that the frequency of spontaneous excitatory postsynaptic currents in dentate gyrus granule cells is 4.5 times higher in vivo than in vitro.}, author = {Pernia-Andrade, Alejandro and Goswami, Sarit and Stickler, Yvonne and Fröbe, Ulrich and Schlögl, Alois and Jonas, Peter M}, journal = {Biophysical Journal}, number = {7}, pages = {1429 -- 1439}, publisher = {Biophysical}, title = {{A deconvolution based method with high sensitivity and temporal resolution for detection of spontaneous synaptic currents in vitro and in vivo}}, doi = {10.1016/j.bpj.2012.08.039}, volume = {103}, year = {2012}, } @article{2969, abstract = {The coupling between presynaptic Ca^(2+) channels and Ca^(2+) sensors of exocytosis is a key determinant of synaptic transmission. Evoked release from parvalbumin (PV)-expressing interneurons is triggered by nanodomain coupling of P/Q-type Ca^(2+) channels, whereas release from cholecystokinin (CCK)-containing interneurons is generated by microdomain coupling of N-type channels. Nanodomain coupling has several functional advantages, including speed and efficacy of transmission. One potential disadvantage is that stochastic opening of presynaptic Ca^(2+) channels may trigger spontaneous transmitter release. We addressed this possibility in rat hippocampal granule cells, which receive converging inputs from different inhibitory sources. Both reduction of extracellular Ca^(2+) concentration and the unselective Ca^(2+) channel blocker Cd^(2+) reduced the frequency of miniature IPSCs (mIPSCs) in granule cells by ~50%, suggesting that the opening of presynaptic Ca^(2+) channels contributes to spontaneous release. Application of the selective P/Q-type Ca^(2+) channel blocker ω-agatoxin IVa had no detectable effects, whereas both the N-type blocker ω-conotoxin GVIa and the L-type blocker nimodipine reduced mIPSC frequency. Furthermore, both the fast Ca^(2+) chelator BAPTA-AM and the slow chelator EGTA-AM reduced the mIPSC frequency, suggesting that Ca^(2+)-dependent spontaneous release is triggered by microdomain rather than nanodomain coupling. The CB_(1) receptor agonist WIN 55212-2 also decreased spontaneous release; this effect was occluded by prior application of ω-conotoxin GVIa, suggesting that a major fraction of Ca^(2+)-dependent spontaneous release was generated at the terminals of CCK-expressing interneurons. Tonic inhibition generated by spontaneous opening of presynaptic N- and L-type Ca^(2+) channels may be important for hippocampal information processing. }, author = {Goswami, Sarit and Bucurenciu, Iancu and Jonas, Peter M}, journal = {Journal of Neuroscience}, number = {41}, pages = {14294 -- 14304}, publisher = {Society for Neuroscience}, title = {{Miniature IPSCs in hippocampal granule cells are triggered by voltage-gated Ca^(2+) channels via microdomain coupling}}, doi = {10.1523/JNEUROSCI.6104-11.2012}, volume = {32}, year = {2012}, } @article{3258, abstract = {CA3 pyramidal neurons are important for memory formation and pattern completion in the hippocampal network. It is generally thought that proximal synapses from the mossy fibers activate these neurons most efficiently, whereas distal inputs from the perforant path have a weaker modulatory influence. We used confocally targeted patch-clamp recording from dendrites and axons to map the activation of rat CA3 pyramidal neurons at the subcellular level. Our results reveal two distinct dendritic domains. In the proximal domain, action potentials initiated in the axon backpropagate actively with large amplitude and fast time course. In the distal domain, Na+ channel–mediated dendritic spikes are efficiently initiated by waveforms mimicking synaptic events. CA3 pyramidal neuron dendrites showed a high Na+-to-K+ conductance density ratio, providing ideal conditions for active backpropagation and dendritic spike initiation. Dendritic spikes may enhance the computational power of CA3 pyramidal neurons in the hippocampal network.}, author = {Kim, Sooyun and Guzmán, José and Hu, Hua and Jonas, Peter M}, issn = {1546-1726}, journal = {Nature Neuroscience}, number = {4}, pages = {600 -- 606}, publisher = {Nature Publishing Group}, title = {{Active dendrites support efficient initiation of dendritic spikes in hippocampal CA3 pyramidal neurons}}, doi = {10.1038/nn.3060}, volume = {15}, year = {2012}, } @article{3317, abstract = {The physical distance between presynaptic Ca2+ channels and the Ca2+ sensors that trigger exocytosis of neurotransmitter-containing vesicles is a key determinant of the signalling properties of synapses in the nervous system. Recent functional analysis indicates that in some fast central synapses, transmitter release is triggered by a small number of Ca2+ channels that are coupled to Ca2+ sensors at the nanometre scale. Molecular analysis suggests that this tight coupling is generated by protein–protein interactions involving Ca2+ channels, Ca2+ sensors and various other synaptic proteins. Nanodomain coupling has several functional advantages, as it increases the efficacy, speed and energy efficiency of synaptic transmission.}, author = {Eggermann, Emmanuel and Bucurenciu, Iancu and Goswami, Sarit and Jonas, Peter M}, journal = {Nature Reviews Neuroscience}, number = {1}, pages = {7 -- 21}, publisher = {Nature Publishing Group}, title = {{Nanodomain coupling between Ca(2+) channels and sensors of exocytosis at fast mammalian synapses}}, doi = {10.1038/nrn3125}, volume = {13}, year = {2012}, }