@article{6793, abstract = {The Regge symmetry is a set of remarkable relations between two tetrahedra whose edge lengths are related in a simple fashion. It was first discovered as a consequence of an asymptotic formula in mathematical physics. Here, we give a simple geometric proof of Regge symmetries in Euclidean, spherical, and hyperbolic geometry.}, author = {Akopyan, Arseniy and Izmestiev, Ivan}, issn = {14692120}, journal = {Bulletin of the London Mathematical Society}, number = {5}, pages = {765--775}, publisher = {London Mathematical Society}, title = {{The Regge symmetry, confocal conics, and the Schläfli formula}}, doi = {10.1112/blms.12276}, volume = {51}, year = {2019}, } @misc{9786, author = {Ruess, Jakob and Pleska, Maros and Guet, Calin C and Tkačik, Gašper}, publisher = {Public Library of Science}, title = {{Supporting text and results}}, doi = {10.1371/journal.pcbi.1007168.s001}, year = {2019}, } @article{6831, abstract = {* Understanding the mechanisms causing phenotypic differences between females and males has long fascinated evolutionary biologists. An extensive literature exists on animal sexual dimorphism but less information is known about sex differences in plants, particularly the extent of geographical variation in sexual dimorphism and its life‐cycle dynamics. * Here, we investigated patterns of genetically based sexual dimorphism in vegetative and reproductive traits of a wind‐pollinated dioecious plant, Rumex hastatulus, across three life‐cycle stages using open‐pollinated families from 30 populations spanning the geographic range and chromosomal variation (XY and XY1Y2) of the species. * The direction and degree of sexual dimorphism was highly variable among populations and life‐cycle stages. Sex‐specific differences in reproductive function explained a significant amount of temporal change in sexual dimorphism. For several traits, geographical variation in sexual dimorphism was associated with bioclimatic parameters, likely due to the differential responses of the sexes to climate. We found no systematic differences in sexual dimorphism between chromosome races. * Sex‐specific trait differences in dioecious plants largely result from a balance between sexual and natural selection on resource allocation. Our results indicate that abiotic factors associated with geographical context also play a role in modifying sexual dimorphism during the plant life‐cycle.}, author = {Puixeu Sala, Gemma and Pickup, Melinda and Field, David and Barrett, Spencer C.H.}, issn = {1469-8137}, journal = {New Phytologist}, number = {3}, pages = {1108--1120}, publisher = {Wiley}, title = {{Variation in sexual dimorphism in a wind-pollinated plant: The influence of geographical context and life-cycle dynamics}}, doi = {10.1111/nph.16050}, volume = {224}, year = {2019}, } @article{6824, abstract = {Platelets are small anucleate cellular fragments that are released by megakaryocytes and safeguard vascular integrity through a process termed ‘haemostasis’. However, platelets have important roles beyond haemostasis as they contribute to the initiation and coordination of intravascular immune responses. They continuously monitor blood vessel integrity and tightly coordinate vascular trafficking and functions of multiple cell types. In this way platelets act as ‘patrolling officers of the vascular highway’ that help to establish effective immune responses to infections and cancer. Here we discuss the distinct biological features of platelets that allow them to shape immune responses to pathogens and tumour cells, highlighting the parallels between these responses.}, author = {Gärtner, Florian R and Massberg, Steffen}, issn = {1474-1741}, journal = {Nature Reviews Immunology}, number = {12}, pages = {747–760}, publisher = {Springer Nature}, title = {{Patrolling the vascular borders: Platelets in immunity to infection and cancer}}, doi = {10.1038/s41577-019-0202-z}, volume = {19}, year = {2019}, } @article{6832, abstract = {Steady-state turnover is a hallmark of epithelial tissues throughout adult life. Intestinal epithelial turnover is marked by continuous cell migration, which is assumed to be driven by mitotic pressure from the crypts. However, the balance of forces in renewal remains ill-defined. Combining biophysical modeling and quantitative three-dimensional tissue imaging with genetic and physical manipulations, we revealed the existence of an actin-related protein 2/3 complex–dependent active migratory force, which explains quantitatively the profiles of cell speed, density, and tissue tension along the villi. Cells migrate collectively with minimal rearrangements while displaying dual—apicobasal and front-back—polarity characterized by actin-rich basal protrusions oriented in the direction of migration. We propose that active migration is a critical component of gut epithelial turnover.}, author = {Krndija, Denis and Marjou, Fatima El and Guirao, Boris and Richon, Sophie and Leroy, Olivier and Bellaiche, Yohanns and Hannezo, Edouard B and Vignjevic, Danijela Matic}, journal = {Science}, number = {6454}, pages = {705--710}, publisher = {American Association for the Advancement of Science}, title = {{Active cell migration is critical for steady-state epithelial turnover in the gut}}, doi = {10.1126/science.aau3429}, volume = {365}, year = {2019}, } @article{6818, abstract = {Indigoidine is a blue natural pigment, which can be efficiently synthetized in E. coli. In addition to its antioxidant and antimicrobial activities indigoidine due to its stability and deep blue color can find an application as an industrial, environmentally friendly dye. Moreover, similarly to its counterpart regular indigo dye, due to its molecular structure, indigoidine is an organic semiconductor. Fully conjugated aromatic moiety and intermolecular hydrogen bonding of indigoidine result in an unusually narrow bandgap for such a small molecule. This, in its turn, result is tight molecular packing in the solid state and opens a path for a wide range of application in organic and bio-electronics, such as electrochemical and field effect transistors, organic solar cells, light and bio-sensors etc.}, author = {Yumusak, Cigdem and Prochazkova, Anna Jancik and Apaydin, Dogukan H and Seelajaroen, Hathaichanok and Sariciftci, Niyazi Serdar and Weiter, Martin and Krajcovic, Jozef and Qin, Yong and Zhang, Wei and Zhan, Jixun and Kovalenko, Alexander}, issn = {0143-7208}, journal = {Dyes and Pigments}, publisher = {Elsevier}, title = {{Indigoidine - Biosynthesized organic semiconductor}}, doi = {10.1016/j.dyepig.2019.107768}, volume = {171}, year = {2019}, } @article{6828, abstract = {In this paper we construct a family of exact functors from the category of Whittaker modules of the simple complex Lie algebra of type to the category of finite-dimensional modules of the graded affine Hecke algebra of type . Using results of Backelin [2] and of Arakawa-Suzuki [1], we prove that these functors map standard modules to standard modules (or zero) and simple modules to simple modules (or zero). Moreover, we show that each simple module of the graded affine Hecke algebra appears as the image of a simple Whittaker module. Since the Whittaker category contains the BGG category as a full subcategory, our results generalize results of Arakawa-Suzuki [1], which in turn generalize Schur-Weyl duality between finite-dimensional representations of and representations of the symmetric group .}, author = {Brown, Adam}, issn = {0021-8693}, journal = {Journal of Algebra}, pages = {261--289}, publisher = {Elsevier}, title = {{Arakawa-Suzuki functors for Whittaker modules}}, doi = {10.1016/j.jalgebra.2019.07.027}, volume = {538}, year = {2019}, } @misc{9803, abstract = {Understanding the mechanisms causing phenotypic differences between females and males has long fascinated evolutionary biologists. An extensive literature exists on animal sexual dimorphism but less is known about sex differences in plants, particularly the extent of geographical variation in sexual dimorphism and its life-cycle dynamics. Here, we investigate patterns of genetically-based sexual dimorphism in vegetative and reproductive traits of a wind-pollinated dioecious plant, Rumex hastatulus, across three life-cycle stages using open-pollinated families from 30 populations spanning the geographic range and chromosomal variation (XY and XY1Y2) of the species. The direction and degree of sexual dimorphism was highly variable among populations and life-cycle stages. Sex-specific differences in reproductive function explained a significant amount of temporal change in sexual dimorphism. For several traits, geographical variation in sexual dimorphism was associated with bioclimatic parameters, likely due to the differential responses of the sexes to climate. We found no systematic differences in sexual dimorphism between chromosome races. Sex-specific trait differences in dioecious plants largely result from a balance between sexual and natural selection on resource allocation. Our results indicate that abiotic factors associated with geographical context also play a role in modifying sexual dimorphism during the plant life cycle.}, author = {Puixeu Sala, Gemma and Pickup, Melinda and Field, David and Barrett, Spencer C.H.}, publisher = {Dryad}, title = {{Data from: Variation in sexual dimorphism in a wind-pollinated plant: the influence of geographical context and life-cycle dynamics}}, doi = {10.5061/dryad.n1701c9}, year = {2019}, } @article{6836, abstract = {Direct reciprocity is a powerful mechanism for the evolution of cooperation on the basis of repeated interactions1,2,3,4. It requires that interacting individuals are sufficiently equal, such that everyone faces similar consequences when they cooperate or defect. Yet inequality is ubiquitous among humans5,6 and is generally considered to undermine cooperation and welfare7,8,9,10. Most previous models of reciprocity do not include inequality11,12,13,14,15. These models assume that individuals are the same in all relevant aspects. Here we introduce a general framework to study direct reciprocity among unequal individuals. Our model allows for multiple sources of inequality. Subjects can differ in their endowments, their productivities and in how much they benefit from public goods. We find that extreme inequality prevents cooperation. But if subjects differ in productivity, some endowment inequality can be necessary for cooperation to prevail. Our mathematical predictions are supported by a behavioural experiment in which we vary the endowments and productivities of the subjects. We observe that overall welfare is maximized when the two sources of heterogeneity are aligned, such that more productive individuals receive higher endowments. By contrast, when endowments and productivities are misaligned, cooperation quickly breaks down. Our findings have implications for policy-makers concerned with equity, efficiency and the provisioning of public goods.}, author = {Hauser, Oliver P. and Hilbe, Christian and Chatterjee, Krishnendu and Nowak, Martin A.}, issn = {14764687}, journal = {Nature}, number = {7770}, pages = {524--527}, publisher = {Springer Nature}, title = {{Social dilemmas among unequals}}, doi = {10.1038/s41586-019-1488-5}, volume = {572}, year = {2019}, } @article{6844, abstract = {Studying the progression of the proliferative and differentiative patterns of neural stem cells at the individual cell level is crucial to the understanding of cortex development and how the disruption of such patterns can lead to malformations and neurodevelopmental diseases. However, our understanding of the precise lineage progression programme at single-cell resolution is still incomplete due to the technical variations in lineage- tracing approaches. One of the key challenges involves developing a robust theoretical framework in which we can integrate experimental observations and introduce correction factors to obtain a reliable and representative description of the temporal modulation of proliferation and differentiation. In order to obtain more conclusive insights, we carry out virtual clonal analysis using mathematical modelling and compare our results against experimental data. Using a dataset obtained with Mosaic Analysis with Double Markers, we illustrate how the theoretical description can be exploited to interpret and reconcile the disparity between virtual and experimental results.}, author = {Picco, Noemi and Hippenmeyer, Simon and Rodarte, Julio and Streicher, Carmen and Molnár, Zoltán and Maini, Philip K. and Woolley, Thomas E.}, issn = {1469-7580}, journal = {Journal of Anatomy}, number = {3}, pages = {686--696}, publisher = {Wiley}, title = {{A mathematical insight into cell labelling experiments for clonal analysis}}, doi = {10.1111/joa.13001}, volume = {235}, year = {2019}, }