@article{7650, abstract = {We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross–Pitaevskii limit, where the scattering length a is so small that the interaction energy is of the same order of magnitude as the spectral gap of the Laplacian, and for temperatures that are comparable to the critical temperature of the ideal gas. We show that the difference between the specific free energy of the interacting system and the one of the ideal gas is to leading order given by 4πa(2ϱ2−ϱ20). Here ϱ denotes the density of the system and ϱ0 is the expected condensate density of the ideal gas. Additionally, we show that the one-particle density matrix of any approximate minimizer of the Gibbs free energy functional is to leading order given by the one of the ideal gas. This in particular proves Bose–Einstein condensation with critical temperature given by the one of the ideal gas to leading order. One key ingredient of our proof is a novel use of the Gibbs variational principle that goes hand in hand with the c-number substitution.}, author = {Deuchert, Andreas and Seiringer, Robert}, issn = {1432-0673}, journal = {Archive for Rational Mechanics and Analysis}, number = {6}, pages = {1217--1271}, publisher = {Springer Nature}, title = {{Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature}}, doi = {10.1007/s00205-020-01489-4}, volume = {236}, year = {2020}, } @article{7656, abstract = {We propose that correlations among neurons are generically strong enough to organize neural activity patterns into a discrete set of clusters, which can each be viewed as a population codeword. Our reasoning starts with the analysis of retinal ganglion cell data using maximum entropy models, showing that the population is robustly in a frustrated, marginally sub-critical, or glassy, state. This leads to an argument that neural populations in many other brain areas might share this structure. Next, we use latent variable models to show that this glassy state possesses well-defined clusters of neural activity. Clusters have three appealing properties: (i) clusters exhibit error correction, i.e., they are reproducibly elicited by the same stimulus despite variability at the level of constituent neurons; (ii) clusters encode qualitatively different visual features than their constituent neurons; and (iii) clusters can be learned by downstream neural circuits in an unsupervised fashion. We hypothesize that these properties give rise to a “learnable” neural code which the cortical hierarchy uses to extract increasingly complex features without supervision or reinforcement.}, author = {Berry, Michael J. and Tkačik, Gašper}, issn = {1662-5188}, journal = {Frontiers in Computational Neuroscience}, publisher = {Frontiers}, title = {{Clustering of neural activity: A design principle for population codes}}, doi = {10.3389/fncom.2020.00020}, volume = {14}, year = {2020}, } @article{7663, abstract = {Wood, as the most abundant carbon dioxide storing bioresource, is currently driven beyond its traditional use through creative innovations and nanotechnology. For many properties the micro- and nanostructure plays a crucial role and one key challenge is control and detection of chemical and physical processes in the confined microstructure and nanopores of the wooden cell wall. In this study, correlative Raman and atomic force microscopy show high potential for tracking in situ molecular rearrangement of wood polymers during compression. More water molecules (interpreted as wider cellulose microfibril distances) and disentangling of hemicellulose chains are detected in the opened cell wall regions, whereas an increase of lignin is revealed in the compressed areas. These results support a new more “loose” cell wall model based on flexible lignin nanodomains and advance our knowledge of the molecular reorganization during deformation of wood for optimized processing and utilization.}, author = {Felhofer, Martin and Bock, Peter and Singh, Adya and Prats Mateu, Batirtze and Zirbs, Ronald and Gierlinger, Notburga}, issn = {1530-6992}, journal = {Nano Letters}, number = {4}, pages = {2647--2653}, publisher = {American Chemical Society}, title = {{Wood deformation leads to rearrangement of molecules at the nanoscale}}, doi = {10.1021/acs.nanolett.0c00205}, volume = {20}, year = {2020}, } @article{7664, abstract = {Metabotropic γ-aminobutyric acid (GABAB) receptors contribute to the control of network activity and information processing in hippocampal circuits by regulating neuronal excitability and synaptic transmission. The dysfunction in the dentate gyrus (DG) has been implicated in Alzheimer´s disease (AD). Given the involvement of GABAB receptors in AD, to determine their subcellular localisation and possible alteration in granule cells of the DG in a mouse model of AD at 12 months of age, we used high-resolution immunoelectron microscopic analysis. Immunohistochemistry at the light microscopic level showed that the regional and cellular expression pattern of GABAB1 was similar in an AD model mouse expressing mutated human amyloid precursor protein and presenilin1 (APP/PS1) and in age-matched wild type mice. High-resolution immunoelectron microscopy revealed a distance-dependent gradient of immunolabelling for GABAB receptors, increasing from proximal to distal dendrites in both wild type and APP/PS1 mice. However, the overall density of GABAB receptors at the neuronal surface of these postsynaptic compartments of granule cells was significantly reduced in APP/PS1 mice. Parallel to this reduction in surface receptors, we found a significant increase in GABAB1 at cytoplasmic sites. GABAB receptors were also detected at presynaptic sites in the molecular layer of the DG. We also found a decrease in plasma membrane GABAB receptors in axon terminals contacting dendritic spines of granule cells, which was more pronounced in the outer than in the inner molecular layer. Altogether, our data showing post- and presynaptic reduction in surface GABAB receptors in the DG suggest the alteration of the GABAB-mediated modulation of excitability and synaptic transmission in granule cells, which may contribute to the cognitive dysfunctions in the APP/PS1 model of AD}, author = {Martín-Belmonte, Alejandro and Aguado, Carolina and Alfaro-Ruíz, Rocío and Moreno-Martínez, Ana Esther and De La Ossa, Luis and Martínez-Hernández, José and Buisson, Alain and Shigemoto, Ryuichi and Fukazawa, Yugo and Luján, Rafael}, issn = {1422-0067}, journal = {International journal of molecular sciences}, number = {7}, publisher = {MDPI}, title = {{Density of GABAB receptors is reduced in granule cells of the hippocampus in a mouse model of Alzheimer's disease}}, doi = {10.3390/ijms21072459}, volume = {21}, year = {2020}, } @article{7665, abstract = {Acute brain slice preparation is a powerful experimental model for investigating the characteristics of synaptic function in the brain. Although brain tissue is usually cut at ice-cold temperature (CT) to facilitate slicing and avoid neuronal damage, exposure to CT causes molecular and architectural changes of synapses. To address these issues, we investigated ultrastructural and electrophysiological features of synapses in mouse acute cerebellar slices prepared at ice-cold and physiological temperature (PT). In the slices prepared at CT, we found significant spine loss and reconstruction, synaptic vesicle rearrangement and decrease in synaptic proteins, all of which were not detected in slices prepared at PT. Consistent with these structural findings, slices prepared at PT showed higher release probability. Furthermore, preparation at PT allows electrophysiological recording immediately after slicing resulting in higher detectability of long-term depression (LTD) after motor learning compared with that at CT. These results indicate substantial advantages of the slice preparation at PT for investigating synaptic functions in different physiological conditions.}, author = {Eguchi, Kohgaku and Velicky, Philipp and Hollergschwandtner, Elena and Itakura, Makoto and Fukazawa, Yugo and Danzl, Johann G and Shigemoto, Ryuichi}, issn = {1662-5102}, journal = {Frontiers in Cellular Neuroscience}, publisher = {Frontiers Media}, title = {{Advantages of acute brain slices prepared at physiological temperature in the characterization of synaptic functions}}, doi = {10.3389/fncel.2020.00063}, volume = {14}, year = {2020}, } @article{7666, abstract = {Generalizing the decomposition of a connected planar graph into a tree and a dual tree, we prove a combinatorial analog of the classic Helmholtz–Hodge decomposition of a smooth vector field. Specifically, we show that for every polyhedral complex, K, and every dimension, p, there is a partition of the set of p-cells into a maximal p-tree, a maximal p-cotree, and a collection of p-cells whose cardinality is the p-th reduced Betti number of K. Given an ordering of the p-cells, this tri-partition is unique, and it can be computed by a matrix reduction algorithm that also constructs canonical bases of cycle and boundary groups.}, author = {Edelsbrunner, Herbert and Ölsböck, Katharina}, issn = {14320444}, journal = {Discrete and Computational Geometry}, pages = {759--775}, publisher = {Springer Nature}, title = {{Tri-partitions and bases of an ordered complex}}, doi = {10.1007/s00454-020-00188-x}, volume = {64}, year = {2020}, } @article{7672, abstract = {Large overpotentials upon discharge and charge of Li-O2 cells have motivated extensive research into heterogeneous solid electrocatalysts or non-carbon electrodes with the aim to improve rate capability, round-trip efficiency and cycle life. These features are equally governed by parasitic reactions, which are now recognized to be caused by the highly reactive singlet oxygen (1O2). However, the link between the presence of electrocatalysts and 1O2 formation in metal-O2 cells is unknown. Here, we show that, compared to pristine carbon black electrodes, a representative selection of electrocatalysts or non-carbon electrodes (noble metal, transition metal compounds) may both slightly reduce or severely increase the 1O2 formation. The individual reaction steps, where the surfaces impact the 1O2 yield are deciphered, showing that 1O2 yield from superoxide disproportionation as well as the decomposition of trace H2O2 are sensitive to catalysts. Transition metal compounds in general are prone to increase 1O2.}, author = {Samojlov, Aleksej and Schuster, David and Kahr, Jürgen and Freunberger, Stefan Alexander}, journal = {Electrochimica Acta}, number = {12}, publisher = {Elsevier}, title = {{Surface and catalyst driven singlet oxygen formation in Li-O2 cells}}, doi = {10.1016/j.electacta.2020.137175}, volume = {362}, year = {2020}, } @article{7683, abstract = {For any free oriented Borel–Moore homology theory A, we construct an associative product on the A-theory of the stack of Higgs torsion sheaves over a projective curve C. We show that the resulting algebra AHa0C admits a natural shuffle presentation, and prove it is faithful when A is replaced with usual Borel–Moore homology groups. We also introduce moduli spaces of stable triples, heavily inspired by Nakajima quiver varieties, whose A-theory admits an AHa0C-action. These triples can be interpreted as certain sheaves on PC(ωC⊕OC). In particular, we obtain an action of AHa0C on the cohomology of Hilbert schemes of points on T∗C.}, author = {Minets, Sasha}, issn = {1420-9020}, journal = {Selecta Mathematica, New Series}, number = {2}, publisher = {Springer Nature}, title = {{Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces}}, doi = {10.1007/s00029-020-00553-x}, volume = {26}, year = {2020}, } @article{7684, author = {Gridchyn, Igor and Schönenberger, Philipp and O'Neill, Joseph and Csicsvari, Jozsef L}, issn = {1097-4199}, journal = {Neuron}, number = {2}, pages = {291--300.e6}, publisher = {Elsevier}, title = {{Assembly-specific disruption of hippocampal replay leads to selective memory deficit}}, doi = {10.1016/j.neuron.2020.01.021}, volume = {106}, year = {2020}, } @article{7686, abstract = {The agricultural green revolution spectacularly enhanced crop yield and lodging resistance with modified DELLA-mediated gibberellin signaling. However, this was achieved at the expense of reduced nitrogen-use efficiency (NUE). Recently, Wu et al. revealed novel gibberellin signaling that provides a blueprint for improving tillering and NUE in Green Revolution varieties (GRVs). }, author = {Xue, Huidan and Zhang, Yuzhou and Xiao, Guanghui}, issn = {1360-1385}, journal = {Trends in Plant Science}, number = {6}, pages = {520--522}, publisher = {Elsevier}, title = {{Neo-gibberellin signaling: Guiding the next generation of the green revolution}}, doi = {10.1016/j.tplants.2020.04.001}, volume = {25}, year = {2020}, } @article{7687, abstract = {A working group, which was established within the Network of Repository Managers (RepManNet), has dealt with common certifications for repositories. In addition, current requirements of the research funding agencies FWF and EU were also taken into account. The Core Trust Seal was examined in more detail. For this purpose, a questionnaire was sent to those organizations that are already certified with CTS in Austria. The answers were summarized and evaluated anonymously. It is recommended to go for a repository certification. Moreover, the development of a DINI certificate in Austria is strongly suggested.}, author = {Ernst, Doris and Novotny, Gertraud and Schönher, Eva Maria}, issn = {1022-2588}, journal = {Mitteilungen der Vereinigung Österreichischer Bibliothekarinnen und Bibliothekare}, number = {1}, pages = {46--59}, publisher = {Vereinigung Österreichischer Bibliothekarinnen und Bibliothekare}, title = {{(Core Trust) Seal your repository!}}, doi = {10.31263/voebm.v73i1.3491}, volume = {73}, year = {2020}, } @misc{7689, abstract = {These are the supplementary research data to the publication "Zero field splitting of heavy-hole states in quantum dots". All matrix files have the same format. Within each column the bias voltage is changed. Each column corresponds to either a different gate voltage or magnetic field. The voltage values are given in mV, the current values in pA. Find a specific description in the included Readme file. }, author = {Katsaros, Georgios}, publisher = {Institute of Science and Technology Austria}, title = {{Supplementary data for "Zero field splitting of heavy-hole states in quantum dots"}}, doi = {10.15479/AT:ISTA:7689}, year = {2020}, } @article{7695, abstract = {The TPLATE complex (TPC) is a key endocytic adaptor protein complex in plants. TPC in Arabidopsis (Arabidopsis thaliana) contains six evolutionarily conserved subunits and two plant-specific subunits, AtEH1/Pan1 and AtEH2/Pan1, although cytoplasmic proteins are not associated with the hexameric subcomplex in the cytoplasm. To investigate the dynamic assembly of the octameric TPC at the plasma membrane (PM), we performed state-of-the-art dual-color live cell imaging at physiological and lowered temperatures. Lowering the temperature slowed down endocytosis, thereby enhancing the temporal resolution of the differential recruitment of endocytic components. Under both normal and lowered temperature conditions, the core TPC subunit TPLATE and the AtEH/Pan1 proteins exhibited simultaneous recruitment at the PM. These results, together with co-localization analysis of different TPC subunits, allow us to conclude that TPC in plant cells is not recruited to the PM sequentially but as an octameric complex.}, author = {Wang, J and Mylle, E and Johnson, Alexander J and Besbrugge, N and De Jaeger, G and Friml, Jiří and Pleskot, R and van Damme, D}, issn = {1532-2548}, journal = {Plant Physiology}, number = {3}, pages = {986--997}, publisher = {American Society of Plant Biologists}, title = {{High temporal resolution reveals simultaneous plasma membrane recruitment of TPLATE complex subunits}}, doi = {10.1104/pp.20.00178}, volume = {183}, year = {2020}, } @article{7697, abstract = {* Morphogenesis and adaptive tropic growth in plants depend on gradients of the phytohormone auxin, mediated by the membrane‐based PIN‐FORMED (PIN) auxin transporters. PINs localize to a particular side of the plasma membrane (PM) or to the endoplasmic reticulum (ER) to directionally transport auxin and maintain intercellular and intracellular auxin homeostasis, respectively. However, the molecular cues that confer their diverse cellular localizations remain largely unknown. * In this study, we systematically swapped the domains between ER‐ and PM‐localized PIN proteins, as well as between apical and basal PM‐localized PINs from Arabidopsis thaliana , to shed light on why PIN family members with similar topological structures reside at different membrane compartments within cells. * Our results show that not only do the N‐ and C‐terminal transmembrane domains (TMDs) and central hydrophilic loop contribute to their differential subcellular localizations and cellular polarity, but that the pairwise‐matched N‐ and C‐terminal TMDs resulting from intramolecular domain–domain coevolution are also crucial for their divergent patterns of localization. * These findings illustrate the complexity of the evolutionary path of PIN proteins in acquiring their plethora of developmental functions and adaptive growth in plants.}, author = {Zhang, Yuzhou and Hartinger, Corinna and Wang, Xiaojuan and Friml, Jiří}, issn = {1469-8137}, journal = {New Phytologist}, number = {5}, pages = {1406--1416}, publisher = {Wiley}, title = {{Directional auxin fluxes in plants by intramolecular domain‐domain co‐evolution of PIN auxin transporters}}, doi = {10.1111/nph.16629}, volume = {227}, year = {2020}, } @article{7707, abstract = {The growing sample size of genome-wide association studies has facilitated the discovery of gene-environment interactions (GxE). Here we propose a maximum likelihood method to estimate the contribution of GxE to continuous traits taking into account all interacting environmental variables, without the need to measure any. Extensive simulations demonstrate that our method provides unbiased interaction estimates and excellent coverage. We also offer strategies to distinguish specific GxE from general scale effects. Applying our method to 32 traits in the UK Biobank reveals that while the genetic risk score (GRS) of 376 variants explains 5.2% of body mass index (BMI) variance, GRSxE explains an additional 1.9%. Nevertheless, this interaction holds for any variable with identical correlation to BMI as the GRS, hence may not be GRS-specific. Still, we observe that the global contribution of specific GRSxE to complex traits is substantial for nine obesity-related measures (including leg impedance and trunk fat-free mass).}, author = {Sulc, Jonathan and Mounier, Ninon and Günther, Felix and Winkler, Thomas and Wood, Andrew R. and Frayling, Timothy M. and Heid, Iris M. and Robinson, Matthew Richard and Kutalik, Zoltán}, issn = {2041-1723}, journal = {Nature Communications}, publisher = {Springer Nature}, title = {{Quantification of the overall contribution of gene-environment interaction for obesity-related traits}}, doi = {10.1038/s41467-020-15107-0}, volume = {11}, year = {2020}, } @article{7708, abstract = {We conducted DNA methylation association analyses using Illumina 450K data from whole blood for an Australian amyotrophic lateral sclerosis (ALS) case–control cohort (782 cases and 613 controls). Analyses used mixed linear models as implemented in the OSCA software. We found a significantly higher proportion of neutrophils in cases compared to controls which replicated in an independent cohort from the Netherlands (1159 cases and 637 controls). The OSCA MOMENT linear mixed model has been shown in simulations to best account for confounders. When combined in a methylation profile score, the 25 most-associated probes identified by MOMENT significantly classified case–control status in the Netherlands sample (area under the curve, AUC = 0.65, CI95% = [0.62–0.68], p = 8.3 × 10−22). The maximum AUC achieved was 0.69 (CI95% = [0.66–0.71], p = 4.3 × 10−34) when cell-type proportion was included in the predictor.}, author = {Nabais, Marta F. and Lin, Tian and Benyamin, Beben and Williams, Kelly L. and Garton, Fleur C. and Vinkhuyzen, Anna A. E. and Zhang, Futao and Vallerga, Costanza L. and Restuadi, Restuadi and Freydenzon, Anna and Zwamborn, Ramona A. J. and Hop, Paul J. and Robinson, Matthew Richard and Gratten, Jacob and Visscher, Peter M. and Hannon, Eilis and Mill, Jonathan and Brown, Matthew A. and Laing, Nigel G. and Mather, Karen A. and Sachdev, Perminder S. and Ngo, Shyuan T. and Steyn, Frederik J. and Wallace, Leanne and Henders, Anjali K. and Needham, Merrilee and Veldink, Jan H. and Mathers, Susan and Nicholson, Garth and Rowe, Dominic B. and Henderson, Robert D. and McCombe, Pamela A. and Pamphlett, Roger and Yang, Jian and Blair, Ian P. and McRae, Allan F. and Wray, Naomi R.}, issn = {2056-7944}, journal = {npj Genomic Medicine}, publisher = {Springer Nature}, title = {{Significant out-of-sample classification from methylation profile scoring for amyotrophic lateral sclerosis}}, doi = {10.1038/s41525-020-0118-3}, volume = {5}, year = {2020}, } @article{7778, abstract = {Recent advances in synthetic posttranslational protein circuits are substantially impacting the landscape of cellular engineering and offer several advantages compared to traditional gene circuits. However, engineering dynamic phenomena such as oscillations in protein-level circuits remains an outstanding challenge. Few examples of biological posttranslational oscillators are known, necessitating theoretical progress to determine realizable oscillators. We construct mathematical models for two posttranslational oscillators, using few components that interact only through reversible binding and phosphorylation/dephosphorylation reactions. Our designed oscillators rely on the self-assembly of two protein species into multimeric functional enzymes that respectively inhibit and enhance this self-assembly. We limit our analysis to within experimental constraints, finding (i) significant portions of the restricted parameter space yielding oscillations and (ii) that oscillation periods can be tuned by several orders of magnitude using recent advances in computational protein design. Our work paves the way for the rational design and realization of protein-based dynamic systems.}, author = {Kimchi, Ofer and Goodrich, Carl Peter and Courbet, Alexis and Curatolo, Agnese I. and Woodall, Nicholas B. and Baker, David and Brenner, Michael P.}, journal = {Science Advances}, number = {51}, title = {{Self-assembly-based posttranslational protein oscillators}}, doi = {10.1126/sciadv.abc1939}, volume = {6}, year = {2020}, } @article{7788, abstract = {Mutations in NDUFS4, which encodes an accessory subunit of mitochondrial oxidative phosphorylation (OXPHOS) complex I (CI), induce Leigh syndrome (LS). LS is a poorly understood pediatric disorder featuring brain-specific anomalies and early death. To study the LS pathomechanism, we here compared OXPHOS proteomes between various Ndufs4−/− mouse tissues. Ndufs4−/− animals displayed significantly lower CI subunit levels in brain/diaphragm relative to other tissues (liver/heart/kidney/skeletal muscle), whereas other OXPHOS subunit levels were not reduced. Absence of NDUFS4 induced near complete absence of the NDUFA12 accessory subunit, a 50% reduction in other CI subunit levels, and an increase in specific CI assembly factors. Among the latter, NDUFAF2 was most highly increased. Regarding NDUFS4, NDUFA12 and NDUFAF2, identical results were obtained in Ndufs4−/− mouse embryonic fibroblasts (MEFs) and NDUFS4-mutated LS patient cells. Ndufs4−/− MEFs contained active CI in situ but blue-native-PAGE highlighted that NDUFAF2 attached to an inactive CI subcomplex (CI-830) and inactive assemblies of higher MW. In NDUFA12-mutated LS patient cells, NDUFA12 absence did not reduce NDUFS4 levels but triggered NDUFAF2 association to active CI. BN-PAGE revealed no such association in LS patient fibroblasts with mutations in other CI subunit-encoding genes where NDUFAF2 was attached to CI-830 (NDUFS1, NDUFV1 mutation) or not detected (NDUFS7 mutation). Supported by enzymological and CI in silico structural analysis, we conclude that absence of NDUFS4 induces near complete absence of NDUFA12 but not vice versa, and that NDUFAF2 stabilizes active CI in Ndufs4−/− mice and LS patient cells, perhaps in concert with mitochondrial inner membrane lipids.}, author = {Adjobo-Hermans, Merel J.W. and De Haas, Ria and Willems, Peter H.G.M. and Wojtala, Aleksandra and Van Emst-De Vries, Sjenet E. and Wagenaars, Jori A. and Van Den Brand, Mariel and Rodenburg, Richard J. and Smeitink, Jan A.M. and Nijtmans, Leo G. and Sazanov, Leonid A and Wieckowski, Mariusz R. and Koopman, Werner J.H.}, issn = {1879-2650}, journal = {Biochimica et Biophysica Acta - Bioenergetics}, number = {8}, publisher = {Elsevier}, title = {{NDUFS4 deletion triggers loss of NDUFA12 in Ndufs4−/− mice and Leigh syndrome patients: A stabilizing role for NDUFAF2}}, doi = {10.1016/j.bbabio.2020.148213}, volume = {1861}, year = {2020}, } @article{7789, abstract = {During embryonic and postnatal development, organs and tissues grow steadily to achieve their final size at the end of puberty. However, little is known about the cellular dynamics that mediate postnatal growth. By combining in vivo clonal lineage tracing, proliferation kinetics, single-cell transcriptomics, andin vitro micro-pattern experiments, we resolved the cellular dynamics taking place during postnatal skin epidermis expansion. Our data revealed that harmonious growth is engineered by a single population of developmental progenitors presenting a fixed fate imbalance of self-renewing divisions with an ever-decreasing proliferation rate. Single-cell RNA sequencing revealed that epidermal developmental progenitors form a more uniform population compared with adult stem and progenitor cells. Finally, we found that the spatial pattern of cell division orientation is dictated locally by the underlying collagen fiber orientation. Our results uncover a simple design principle of organ growth where progenitors and differentiated cells expand in harmony with their surrounding tissues.}, author = {Dekoninck, Sophie and Hannezo, Edouard B and Sifrim, Alejandro and Miroshnikova, Yekaterina A. and Aragona, Mariaceleste and Malfait, Milan and Gargouri, Souhir and De Neunheuser, Charlotte and Dubois, Christine and Voet, Thierry and Wickström, Sara A. and Simons, Benjamin D. and Blanpain, Cédric}, issn = {1097-4172}, journal = {Cell}, number = {3}, pages = {604--620.e22}, publisher = {Elsevier}, title = {{Defining the design principles of skin epidermis postnatal growth}}, doi = {10.1016/j.cell.2020.03.015}, volume = {181}, year = {2020}, } @article{7790, abstract = {We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density 𝜌 and inverse temperature 𝛽 differs from the one of the noninteracting system by the correction term 𝜋𝜌𝜌𝛽𝛽 . Here, is the scattering length of the interaction potential, and 𝛽 is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. The result is valid in the dilute limit 𝜌 and if 𝛽𝜌 .}, author = {Deuchert, Andreas and Mayer, Simon and Seiringer, Robert}, issn = {2050-5094}, journal = {Forum of Mathematics, Sigma}, publisher = {Cambridge University Press}, title = {{The free energy of the two-dimensional dilute Bose gas. I. Lower bound}}, doi = {10.1017/fms.2020.17}, volume = {8}, year = {2020}, }