Testing the involvement of the prefrontal cortex in lucid dreaming: A tDCS study

Recent studies suggest that lucid dreaming (awareness of dreaming while dreaming) might be associated with increased brain activity over frontal regions during rapid eye movement (REM) sleep. By applying transcranial direct current stimulation (tDCS), we aimed to manipulate the activation of the dorsolateral prefrontal cortex (DLPFC) during REM sleep to induce lucid dreaming. Nineteen participants spent three consecutive nights in a sleep laboratory. On the second and third nights they randomly received either 1 mA tDCS for 10 min or sham stimulation during each REM period starting with the second one. According to the participants' self-ratings, tDCS over the DLPFC during REM sleep increased lucidity in dreams. The effects, however, were not strong and found only in frequent lucid dreamers. While this indicates some preliminary support for the involvement of the DLPFC in lucid dreaming, further research, controlling for indirect effects of stimulation and including other brain regions, is needed.

On low-dimensional projections of high-dimensional distributions

Let P be a probability distribution on q -dimensional space. The so-called Diaconis-Freedman effect means that for a fixed dimension d<

Stochastic search for semiparametric linear regression models

This paper introduces and analyzes a stochastic search method for parameter estimation in linear regression models in the spirit of Beran and Millar [Ann. Statist. 15(3) (1987) 1131–1154]. The idea is to generate a random finite subset of a parameter space which will automatically contain points which are very close to an unknown true parameter. The motivation for this procedure comes from recent work of Dümbgen et al. [Ann. Statist. 39(2) (2011) 702–730] on regression models with log-concave error distributions.

Multiscale methods for shape constraints in deconvolution: Confidence statements for qualitative features

We derive multiscale statistics for deconvolution in order to detect qualitative features of the unknown density. An important example covered within this framework is to test for local monotonicity on all scales simultaneously. We investigate the moderately ill-posed setting, where the Fourier transform of the error density in the deconvolution model is of polynomial decay. For multiscale testing, we consider a calibration, motivated by the modulus of continuity of Brownian motion. We investigate the performance of our results from both the theoretical and simulation based point of view. A major consequence of our work is that the detection of qualitative features of a density in a deconvolution problem is a doable task, although the minimax rates for pointwise estimation are very slow.

Continuum percolation for Gibbs point processes

We consider percolation properties of the Boolean model generated by a Gibbs point process and balls with deterministic radius. We show that for a large class of Gibbs point processes there exists a critical activity, such that percolation occurs a.s. above criticality. For locally stable Gibbs point processes we show a converse result, i.e. they do not percolate a.s. at low activity.

AUTOIMMUNE RESPONSES TO ATHEROSCLEROTIC

Atherosclerosis is a chronic, complex arterial disease characterized by intimal lipid accumulation and inflammation. A unique lipid-binding molecule, namely cluster of differentiation 1d (CD1d), may impact atherosclerosis. Structurally, CD1d acts as a nonpolymorphic cell-surface receptor, resembling the major histocompatibility complex-I (MHC-I). While MHC-I restricts peptide antigen presentation to T cells, CD1d presents lipid antigens to T cells named CD1d-restrictedd T cells. Although increased expression of CD1d has been found in human plaques, the exact nature of CD1d-recognized lipids in atherosclerosis remains to be determined. Three groups of lipids may undergo oxidation in atherosclerosis producing atherogenic lipids: phospholipids, fatty acids, and cholesterol. The central hypothesis is that CD1d recognizes and present oxidative lipids to activate CD1d-restricted T cells, and trigger proinflammatory signal transduction In the first part of this study, oxidative phospholipids were identified and characterized as potential autoantigen for CD1d-restricted T cells. Derived from phospholipid 1-palmitoyl-2-arachidonoyl-sn-glycero-3-phosphorylcholine by oxidization, 1-palmitoyl-2-glutaryl-sn-glycero-3-phosphocholine (PGPC) is commonly found in atherosclerotic plaques. Upon stimulation with PGPC, spleen-derived CD1d-restricted T cells produced higher levels of cytokines and proliferated at higher rates than those without PGPC stimulation. CD1d deficiency compromised the PGPC-triggered T cell activation, suggesting that PGPC may function as a potentially novel autoantigen for T cells in atherosclerosis. In the second part of this study, CD1d-mediated proinflammatory signaling was evaluated in murine models. Enhanced CD1 expression occurred in spleens of db/db mice with hyperlipidemia. Tumor necrosis factor-alpha (TNF-α) was increased in db/db spleen, while TNF-α receptor expression augmented in the db/db murine heart, in comparison with those in normal mice. The nuclear factor-κ B (NF-κB) expression was enhanced in the db/db heart, whereas CD1d-null mice showed lower NF-κB, implying the involvement of CD1d in inflammation of the spleen and heart tissues in the mice with hyperlipidemia. The current study has identified PGPC as a novel lipid antigen recognized by CD1d-restricted T cells in atherosclerosis. The animal study has also provided evidence that CD1d regulates NF-κB-mediated proinflammatory signaling. Hence, CD1d-restricted T cell responses to autolipid antigen and mediated inflammatory signal may represent a new molecular pathway that triggers cardiovascular tissue injury in atherosclerosis and hyperlipidemia.

Limit theorems for nondegenerate U-statistics of continuous semimartingales

This paper presents the asymptotic theory for nondegenerate U-statistics of high frequency observations of continuous Itô semimartingales. We prove uniform convergence in probability and show a functional stable central limit theorem for the standardized version of the U-statistic. The limiting process in the central limit theorem turns out to be conditionally Gaussian with mean zero. Finally, we indicate potential statistical applications of our probabilistic results.

Gibbs point process approximation: Total variation bounds using Stein's method

We obtain upper bounds for the total variation distance between the distributions of two Gibbs point processes in a very general setting. Applications are provided to various well-known processes and settings from spatial statistics and statistical physics, including the comparison of two Lennard-Jones processes, hard core approximation of an area interaction process and the approximation of lattice processes by a continuous Gibbs process. Our proof of the main results is based on Stein's method. We construct an explicit coupling between two spatial birth-death processes to obtain Stein factors, and employ the Georgii-Nguyen-Zessin equation for the total bound.

Copula calibration

We propose notions of calibration for probabilistic forecasts of general multivariate quantities. Probabilistic copula calibration is a natural analogue of probabilistic calibration in the univariate setting. It can be assessed empirically by checking for the uniformity of the copula probability integral transform (CopPIT), which is invariant under coordinate permutations and coordinatewise strictly monotone transformations of the predictive distribution and the outcome. The CopPIT histogram can be interpreted as a generalization and variant of the multivariate rank histogram, which has been used to check the calibration of ensemble forecasts. Climatological copula calibration is an analogue of marginal calibration in the univariate setting. Methods and tools are illustrated in a simulation study and applied to compare raw numerical model and statistically postprocessed ensemble forecasts of bivariate wind vectors.

Influence of the Central American Seaway and Drake Passage on ocean circulation and neodymium isotopes: A model study

The sensitivity of the neodymium isotopic composition (ϵNd) to tectonic rearrangements of seaways is investigated using an Earth System Model of Intermediate Complexity. The shoaling and closure of the Central American Seaway (CAS) is simulated, as well as the opening and deepening of Drake Passage (DP). Multiple series of equilibrium simulations with various intermediate depths are performed for both seaways, providing insight into ϵNd and circulation responses to progressive throughflow evolutions. Furthermore, the sensitivity of these responses to the Atlantic Meridional Overturning Circulation (AMOC) and the neodymium boundary source is examined. Modeled ϵNd changes are compared to sediment core and ferromanganese (Fe-Mn) crust data. The model results indicate that the North Atlantic ϵNd response to the CAS shoaling is highly dependent on the AMOC state, i.e., on the AMOC strength before the shoaling to shallow depths (preclosure). Three scenarios based on different AMOC forcings are discussed, of which the model-data agreement favors a shallow preclosure (Miocene) AMOC (∼6 Sv). The DP opening causes a rather complex circulation response, resulting in an initial South Atlantic ϵNd decrease preceding a larger increase. This feature may be specific to our model setup, which induces a vigorous CAS throughflow that is strongly anticorrelated to the DP throughflow. In freshwater experiments following the DP deepening, ODP Site 1090 is mainly influenced by AMOC and DP throughflow changes, while ODP Site 689 is more strongly influenced by Southern Ocean Meridional Overturning Circulation and CAS throughflow changes. The boundary source uncertainty is largest for shallow seaways and at shallow sites.

Avian area vasculosa and CAM as rapid in vivo pro-angiogenic and antiangiogenic models.

Angiogenesis, the development of new blood vessels from preexisting ones, is driven by coordinated signaling pathways governed by specific molecules, hemodynamic forces, and endothelial and periendothelial cells. The processes involve adhesion, migration, and survival machinery within the target endothelial and periendothelial cells. Factors that interfere with any of these processes may therefore influence angiogenesis either positively (pro-angiogenesis) or negatively (antiangiogenesis). The avian area vasculosa (AV) and the avian chorioallantoic membrane (CAM) are two useful tools for studying both angiogenesis and antiangiogenesis since they are amenable to both intravascular and topical administration of target, agents, are relatively rapid assays, and can be adapted very easily to study angiogenesis-dependent processes, such as tumor growth. Both models provide a physiological setting that permits investigation of pro-angiogenic and antiangiogenic agent interactions in vivo.

M-Functionals of Multivariate Scatter

This survey provides a self-contained account of M-estimation of multivariate scatter. In particular, we present new proofs for existence of the underlying M-functionals and discuss their weak continuity and differentiability. This is done in a rather general framework with matrix-valued random variables. By doing so we reveal a connection between Tyler's (1987) M-functional of scatter and the estimation of proportional covariance matrices. Moreover, this general framework allows us to treat a new class of scatter estimators, based on symmetrizations of arbitrary order. Finally these results are applied to M-estimation of multivariate location and scatter via multivariate t-distributions.