Metrics and barycenters for point pattern data

We introduce the transport–transform and the relative transport–transform metrics between finite point patterns on a generalspace, which provide a unified framework for earlier point pattern metrics, in particular the generalized spike time and thenormalized and unnormalized optimal subpattern assignment metrics. Our main focus is on barycenters, i.e., minimizersof aq-th-order Fréchet functional with respect to these metrics. We present a heuristic algorithm that terminates in a localminimum and is shown to be fast and reliable in a simulation study. The algorithm serves as a general plug-in method that canbe applied to point patterns on any state space where an appropriate algorithm for solving the location problem for individualpoints is available. We present applications to geocoded data of crimes in Euclidean space and on a street network, illustratingthat barycenters serve as informative summary statistics. Our work is a first step toward statistical inference in covariate-basedmodels of repeated point pattern observations

Platelet lysate as a serum substitute for 2D static and 3D perfusion culture of stromal vascular fraction cells from human adipose tissue

Fetal bovine serum (FBS) and fibroblast growth factor (FGF)-2 are key supplements for the culture of stromal vascular fraction (SVF) cells from adipose tissue, both for typical monolayer (2D) expansion and for streamlined generation of osteogenic-vasculogenic grafts in 3D perfusion culture. The present study investigates whether factors present in human platelet lysate (PL) could substitute for FBS and FGF-2 in 2D and 3D culture models of SVF cells from human lipoaspirates. SVF cells were grown in medium supplemented with 10% FBS+FGF-2 or with 5% PL. In 2D cultures, PL initially supported SVF cell proliferation, but resulted in growth arrest shortly after the first passage. Freshly isolated SVF cells cultured with both media under perfusion for 5 days within 3D ceramic scaffolds induced bone formation after subcutaneous implantation in nude mice. However, blood vessels of donor origin were generated only using FBS+FGF-2-cultured cells. This was unexpected, because the proportion of CD34+/CD31+ endothelial lineage cells was significantly higher with PL than that of FBS+FGF-2 (33% vs. 3%, respectively). These results support the use of PL as a substitute of FBS+FGF-2 for short-term culture of human SVF cells, and indicate that more specific serum-free formulations are required to maintain a functionally vasculogenic fraction of SVF cells expanded under 3D perfusion

Nitrogen removal processes in lakes of different trophic states from on-site measurements and historic data

Freshwater lakes are essential hotspots for the removal of excessive anthropogenic nitrogen (N) loads transported from the land to coastal oceans. The biogeochemical processes responsible for N removal, the corresponding transformation rates and overall removal efficiencies differ between lakes, however, it is unclear what the main controlling factors are. Here, we investigated the factors that moderate the rates of N removal under contrasting trophic states in two lakes located in central Switzerland. In the eutrophic Lake Baldegg and the oligotrophic Lake Sarnen, we specifically examined seasonal sediment porewater chemistry, organic matter sedimentation rates, as well as 33-year of historic water column data. We find that the eutrophic Lake Baldegg, which contributed to the removal of 20 ± 6.6 gN m; -2; year; -1; , effectively removed two-thirds of the total areal N load. In stark contrast, the more oligotrophic Lake Sarnen contributed to 3.2 ± 4.2 gN m; -2; year; -1; , and had removed only one-third of the areal N load. The historic dataset of the eutrophic lake revealed a close linkage between annual loads of dissolved N (DN) and removal rates (NRR = 0.63 × DN load) and a significant correlation of the concentration of bottom water nitrate and removal rates. We further show that the seasonal increase in N removal rates of the eutrophic lake correlated significantly with seasonal oxygen fluxes measured across the water-sediment interface (R; 2; = 0.75). We suggest that increasing oxygen enhances sediment mineralization and stimulates nitrification, indirectly enhancing denitrification activity.; The online version contains supplementary material available at 10.1007/s00027-021-00795-7

Geometric approach to chaos in the classical dynamics of abelian lattice gauge theory

A Riemannian geometrization of dynamics is used to study chaoticity in the classical Hamiltonian dynamics of a U(1) lattice gauge theory. This approach allows one to obtain analytical estimates of the largest Lyapunov exponent in terms of time averages of geometric quantities. These estimates are compared with the results of numerical simulations, and turn out to be very close to the values extrapolated for very large lattice sizes even when the geometric quantities are computed using small lattices. The scaling of the Lyapunov exponent with the energy density is found to be well described by a quadratic power law.Comment: REVTeX, 9 pages, 4 PostScript figures include

Medical futility regarding cardiopulmonary resuscitation in in-hospital cardiac arrests of adult patients: A Systematic Review and Meta-analysis

For some patients, survival with good neurologic function after cardiopulmonary resuscitation (CPR) is highly unlikely, thus CPR would be considered medically futile. Yet, in clinical practice, there are no well-established criteria, guidelines or measures to determine futility. We aimed to investigate how medical futility for CPR in adult patients is defined, measured, and associated with do-not-resuscitate (DNR) code status as well as to evaluate through meta-analysis the predictive value of clinical risk scores.; We searched Embase, PubMed, CINAHL, and PsycINFO from the inception of each database up to January 22, 2021. Data were pooled using a fixed-effects model. Data collection and reporting followed the PRISMA guidelines.; Thirty-one studies were included in the systematic review and 11 in the meta-analysis. Medical futility defined by risk scores was associated with a significantly higher risk of in-hospital mortality (5 studies, 3102 participants with Pre-Arrest Morbidity (PAM) and Prognosis After Resuscitation (PAR) score; overall RR 3.38 [95% CI 1.92-5.97]) and poor neurologic outcome/in-hospital mortality (6 studies, 115213 participants with Good Outcome Following Attempted Resuscitation (GO-FAR) and Prediction of Outcome for In-Hospital Cardiac Arrest (PIHCA) score; RR 6.93 [95% CI 6.43-7.47]). All showed high specificity (>90%) for identifying patients with poor outcome.; There is no international consensus and a lack of specific definitions of CPR futility in adult patients. Clinical risk scores might aid decision-making when CPR is assumed to be futile. Future studies are needed to assess their clinical value and reliability as a measure of futility regarding CPR

Commentary and Worked Examples to EN 1993-1-10 "Material Toughness and Through Thickness Properties" and Other Toughness Oriented Rules in EN 1993

This commentary gives explanations and worked examples to the design rules in Eurocode 3 that are influenced by the strength and toughness properties of the structural steels used. It is a commentary and background document to EN 1993-1-10 "Material toughness and through thickness properties" and its extension in EN 1993-1-12 "Design rules for high-strength steels", where toughness properties are explicitly addressed. It however provides also background to other parts of EN 1993, e.g. to EN 1993-1-1 "Design of steel structures - Basic rules and rules for buildings", where the design rules are related only to strength properties as the yield strength and the tensile strength without explicitly mentioning the role of toughness that is hidden behind the resistance formulae. Finally it gives some comments to chapter 6 of EN 1998-1: "Design of structures for earthquake resistance - Part 1: General rules, seismic actions and rules for buildings".JRC.G.5-European laboratory for structural assessmen

The native architecture of a photosynthetic membrane

In photosynthesis, the harvesting of solar energy and its subsequent conversion into a stable charge separation are dependent upon an interconnected macromolecular network of membrane-associated chlorophyll–protein complexes. Although the detailed structure of each complex has been determined, the size and organization of this network are unknown. Here we show the use of atomic force microscopy to directly reveal a native bacterial photosynthetic membrane. This first view of any multi-component membrane shows the relative positions and associations of the photosynthetic complexes and reveals crucial new features of the organization of the network: we found that the membrane is divided into specialized domains each with a different network organization and in which one type of complex predominates. Two types of organization were found for the peripheral light-harvesting LH2 complex. In the first, groups of 10–20 molecules of LH2 form light-capture domains that interconnect linear arrays of dimers of core reaction centre (RC)–light-harvesting 1 (RC–LH1–PufX) complexes; in the second they were found outside these arrays in larger clusters. The LH1 complex is ideally positioned to function as an energy collection hub, temporarily storing it before transfer to the RC where photochemistry occurs: the elegant economy of the photosynthetic membrane is demonstrated by the close packing of these linear arrays, which are often only separated by narrow 'energy conduits' of LH2 just two or three complexes wide