Variability of grid-cell activity

Action potentials of grid cells in the entorhinal cortex of navigating rodents occur every two seconds on average. If one considers the precise temporal sequence of these events, however, it can be seen that they rarely occur in isolation. In fact, the intervals between successive action potentials can be on the order of a few milliseconds. Mapped to the trajectory of the animal, a clear clustering of the action potentials in space can be observed as well. The places where the density of such events is particularly high are called firing fields and are arranged in a hexagonal grid. Regardless of the cell characteristics, the number of spikes observed on different crossings of a field varies strongly. The time between subsequent field crossings is on the order of seconds. We found out that one cause of spike-count variability is that the exact position of the firing fields is not stable over time. In addition, the shifts of the fields were correlated across simultaneously recorded cells. This kind of non-stationarity in the grid-cell network allows conclusions to be drawn about the functioning of this system. Furthermore, dynamic field locations imply that common methods for data analysis of grid-cell recordings can be problematic. Furthermore, we found out that a subset of grid cells, which have particularly high firing rates when crossing a field, can be associated with a peculiarity in the shape of their action potentials: The spikes of some cells are followed by a short afterdepolarization (DAP). At the same time, we discovered cells with even smaller and extremely stereotypical intervals between their spikes. This group of neurons, however, exhibited less pronounced DAPs. Cells with and without DAP did not differ in their spatial firing behavior. Our results imply that different burst behaviors are not directly related to different types of spatial coding. In addition, we suggest that bursting of grid cells could be altered via the mechanisms of DAP formation. In summary, this work shows how details of neuronal activity on two different time scales provide fundamental insights into the processes of spatial navigation. Untethered firing fields and intermittent silences: Why grid‐cell discharge is so variable - Grid cells in medial entorhinal cortex are notoriously variable in their responses, despite the striking hexagonal arrangement of their spatial firing fields. Indeed, when the animal moves through a firing field, grid cells often fire much more vigorously than predicted or do not fire at all. The source of this trial‐to‐trial variability is not completely understood. By analyzing grid‐cell spike trains from mice running in open arenas and on linear tracks, we characterize the phenomenon of “missed” firing fields using the statistical theory of zero inflation. We find that one major cause of grid‐cell variability lies in the spatial representation itself: firing fields are not as strongly anchored to spatial location as the averaged grid suggests. In addition, grid fields from different cells drift together from trial to trial, regardless of whether the environment is real or virtual, or whether the animal moves in light or darkness. Spatial realignment across trials sharpens the grid representation, yielding firing fields that are more pronounced and significantly narrower. These findings indicate that ensembles of grid cells encode relative position more reliably than absolute position. Spike Afterpotentials Shape the In Vivo Burst Activity of Principal Cells in Medial Entorhinal Cortex - Principal neurons in rodent medial entorhinal cortex (MEC) generate high-frequency bursts during natural behavior. While in vitro studies point to potential mechanisms that could support such burst sequences, it remains unclear whether these mechanisms are effective under in vivo conditions. In this study, we focused on the membrane-potential dynamics immediately following action potentials (APs), as measured in whole-cell recordings from male mice running in virtual corridors (Domnisoru et al., 2013). These afterpotentials consisted either of a hyperpolarization, an extended ramp-like shoulder, or a depolarization reminiscent of depolarizing afterpotentials (DAPs) recorded in vitro in MEC principal neurons. Next, we correlated the afterpotentials with the cells' propensity to fire bursts. All DAP cells with known location resided in Layer II, generated bursts, and their interspike intervals (ISIs) were typically between 5 and 15 ms. The ISI distributions of Layer-II cells without DAPs peaked sharply at around 4 ms and varied only minimally across that group. This dichotomy in burst behavior is explained by cell-group-specific DAP dynamics. The same two groups of bursting neurons also emerged when we clustered extracellular spike-train autocorrelations measured in real 2D arenas (Latuske et al., 2015). Apart from slight variations in grid spacing, no difference in the spatial coding properties of the grid cells across all three groups was discernible. Layer III neurons were only sparsely bursting (SB) and had no DAPs. As various mechanisms for modulating ion-channels underlying DAPs exist, our results suggest that temporal features of MEC activity can be altered while maintaining the cells' overall spatial tuning characteristics

Photoionization of helium by attosecond pulses: extraction of spectra from correlated wave functions

We investigate the photoionization spectrum of helium by attosecond XUV pulses both in the spectral region of doubly excited resonances as well as above the double ionization threshold. In order to probe for convergence, we compare three techniques to extract photoelectron spectra from the wavepacket resulting from the integration of the time-dependent Schroedinger equation in a finite-element discrete variable representation basis. These techniques are: projection on products of hydrogenic bound and continuum states, projection onto multi-channel scattering states computed in a B-spline close-coupling basis, and a technique based on exterior complex scaling (ECS) implemented in the same basis used for the time propagation. These methods allow to monitor the population of continuum states in wavepackets created with ultrashort pulses in different regimes. Applications include photo cross sections and anisotropy parameters in the spectral region of doubly excited resonances, time-resolved photoexcitation of autoionizing resonances in an attosecond pump-probe setting, and the energy and angular distribution of correlated wavepackets for two-photon double ionization.Comment: 19 pages, 12 figure

Spike Afterpotentials Shape the In Vivo Burst Activity of Principal Cells in Medial Entorhinal Cortex

Principal neurons in rodent medial entorhinal cortex (MEC) generate high-frequency bursts during natural behavior. While in vitro studies point to potential mechanisms that could support such burst sequences, it remains unclear whether these mechanisms are effective under in vivo conditions. In this study, we focused on the membrane-potential dynamics immediately following action potentials (APs), as measured in whole-cell recordings from male mice running in virtual corridors (Domnisoru et al., 2013). These afterpotentials consisted either of a hyperpolarization, an extended ramp-like shoulder, or a depolarization reminiscent of depolarizing afterpotentials (DAPs) recorded in vitro in MEC principal neurons. Next, we correlated the afterpotentials with the cells' propensity to fire bursts. All DAP cells with known location resided in Layer II, generated bursts, and their interspike intervals (ISIs) were typically between 5 and 15 ms. The ISI distributions of Layer-II cells without DAPs peaked sharply at around 4 ms and varied only minimally across that group. This dichotomy in burst behavior is explained by cell-group-specific DAP dynamics. The same two groups of bursting neurons also emerged when we clustered extracellular spike-train autocorrelations measured in real 2D arenas (Latuske et al., 2015). Apart from slight variations in grid spacing, no difference in the spatial coding properties of the grid cells across all three groups was discernible. Layer III neurons were only sparsely bursting (SB) and had no DAPs. As various mechanisms for modulating ion-channels underlying DAPs exist, our results suggest that temporal features of MEC activity can be altered while maintaining the cells' overall spatial tuning characteristics. SIGNIFICANCE STATEMENT Depolarizing afterpotentials (DAPs) are frequently observed in principal neurons from slice preparations of rodent medial entorhinal cortex (MEC), but their functional role in vivo is unknown. Analyzing whole-cell data from mice running on virtual tracks, we show that DAPs do occur during behavior. Cells with prominent DAPs are found in Layer II; their interspike intervals (ISIs) reflect DAP time-scales. In contrast, neither the rarely bursting cells in Layer III, nor the high-frequency bursters in Layer II, have a DAP. Extracellular recordings from mice exploring real 2D arenas demonstrate that grid cells within these three groups have similar spatial coding properties. We conclude that DAPs shape the temporal response characteristics of principal neurons in MEC with little effect on spatial properties

Attosecond streaking of correlated two-electron transitions in helium

We present fully ab initio simulations of attosecond streaking for ionization of helium accompanied by shake-up of the second electron. This process represents a prototypical case for strongly correlated electron dynamics on the attosecond timescale. We show that streaking spectroscopy can provide detailed information on the Eisenbud-Wigner-Smith time delay as well as on the infrared field dressing of both bound and continuum states. We find a novel contribution to the streaking delay that stems from the interplay of electron-electron and infrared-field interactions in the exit channel. We quantify all the contributions with attosecond precision and provide a benchmark for future experiments.Comment: 5 pages, 4 figure

Electron correlations in the antiproton energy-loss distribution in He

We present ab initio calculations of the electronic differential energy-transfer cross sections for antiprotons with energies between 3 keV and 1 MeV interacting with helium. By comparison with simulations employing the mean-field description based on the single-active electron approximation we are able to identify electron correlation effects in the stopping and straggling cross sections. Most remarkably, we find that straggling exceeds the celebrated Bohr straggling limit when correlated shake-up processes are included.The present paper was supported by Grants No. FWF-SFB049 (Nextlite), No. FWF-SFB041 (VICOM), No. WWTF MA14-002, Doctoral College Grant No. FWF-W1243 (Solids4Function), by the National Research, Development and Innovation Office (NKFIH) Grant No. KH 126886, and by the high performance computing resources of the Babeş-Bolyai University. J.F. acknowledges funding from the European Research Council under Grant No. ERC-2016-STG-714870 and by the Ministerio de Economía y Competitividad (Spain) through a Ramón y Cajal grant. X.- M.T. was supported by a Grants-in-Aid for Scientific Research (Grant No. JP16K05495) from the Japan Society for the Promotion of Scienc

CoHLA: Design space exploration and co-simulation made easy

The inherent multi-disciplinary nature of cyber-physical systems makes it difficult to get early insight in key system properties and trade-offs that have to be made. Our aim is to support system architects of such systems by facilitating the co-simulation of models from different disciplines and design space exploration. This has been achieved by defining a domain-specific language called CoHLA which allows a high-level description of a system architecture and simulation parameters to be specified. A generator has been implemented that generates a co-simulation of component models using an implementation of the HLA standard. Component models that adhere to the FMI standard can be incorporated easily. Moreover, CoHLA includes primitives to express design space parameters and metrics; this information is used to generate tooling for automated design space exploration