TY - JOUR AB - The interorganelle communication mediated by membrane contact sites (MCSs) is an evolutionary hallmark of eukaryotic cells. MCS connections enable the nonvesicular exchange of information between organelles and allow them to coordinate responses to changing cellular environments. In plants, the importance of MCS components in the responses to environmental stress has been widely established, but the molecular mechanisms regulating interorganelle connectivity during stress still remain opaque. In this report, we use the model plant Arabidopsis thaliana to show that ionic stress increases endoplasmic reticulum (ER)–plasma membrane (PM) connectivity by promoting the cortical expansion of synaptotagmin 1 (SYT1)-enriched ER–PM contact sites (S-EPCSs). We define differential roles for the cortical cytoskeleton in the regulation of S-EPCS dynamics and ER–PM connectivity, and we identify the accumulation of phosphatidylinositol 4,5-bisphosphate [PI(4,5)P2] at the PM as a molecular signal associated with the ER–PM connectivity changes. Our study highlights the functional conservation of EPCS components and PM phosphoinositides as modulators of ER–PM connectivity in eukaryotes, and uncovers unique aspects of the spatiotemporal regulation of ER–PM connectivity in plants. AU - Lee, Eunkyoung AU - Vanneste, Steffen AU - Pérez-Sancho, Jessica AU - Benitez-Fuente, Francisco AU - Strelau, Matthew AU - Macho, Alberto P. AU - Botella, Miguel A. AU - Friml, Jiří AU - Rosado, Abel ID - 5908 IS - 4 JF - Proceedings of the National Academy of Sciences of the United States of America TI - Ionic stress enhances ER–PM connectivity via phosphoinositide-associated SYT1 contact site expansion in Arabidopsis VL - 116 ER - TY - JOUR AB - The partial representation extension problem is a recently introduced generalization of the recognition problem. A circle graph is an intersection graph of chords of a circle. We study the partial representation extension problem for circle graphs, where the input consists of a graph G and a partial representation R′ giving some predrawn chords that represent an induced subgraph of G. The question is whether one can extend R′ to a representation R of the entire graph G, that is, whether one can draw the remaining chords into a partially predrawn representation to obtain a representation of G. Our main result is an O(n3) time algorithm for partial representation extension of circle graphs, where n is the number of vertices. To show this, we describe the structure of all representations of a circle graph using split decomposition. This can be of independent interest. AU - Chaplick, Steven AU - Fulek, Radoslav AU - Klavík, Pavel ID - 5790 IS - 4 JF - Journal of Graph Theory SN - 03649024 TI - Extending partial representations of circle graphs VL - 91 ER - TY - JOUR AB - We investigate the quantum Jensen divergences from the viewpoint of joint convexity. It turns out that the set of the functions which generate jointly convex quantum Jensen divergences on positive matrices coincides with the Matrix Entropy Class which has been introduced by Chen and Tropp quite recently. AU - Virosztek, Daniel ID - 405 JF - Linear Algebra and Its Applications TI - Jointly convex quantum Jensen divergences VL - 576 ER - TY - JOUR AB - An upper bound sieve for rational points on suitable varieties isdeveloped, together with applications tocounting rational points in thin sets,to local solubility in families, and to the notion of “friable” rational pointswith respect to divisors. In the special case of quadrics, sharper estimates areobtained by developing a version of the Selberg sieve for rational points. AU - Browning, Timothy D AU - Loughran, Daniel ID - 175 IS - 8 JF - Transactions of the American Mathematical Society SN - 00029947 TI - Sieving rational points on varieties VL - 371 ER - TY - JOUR AB - We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions. The calculus of modelled distributions established in Hairer (Invent Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended to this setting. We formulate and solve fixed point problems in these spaces with a class of kernels that is sufficiently large to cover in particular the Dirichlet and Neumann heat kernels. These results are then used to provide solution theories for the KPZ equation with Dirichlet and Neumann boundary conditions and for the 2D generalised parabolic Anderson model with Dirichlet boundary conditions. In the case of the KPZ equation with Neumann boundary conditions, we show that, depending on the class of mollifiers one considers, a “boundary renormalisation” takes place. In other words, there are situations in which a certain boundary condition is applied to an approximation to the KPZ equation, but the limiting process is the Hopf–Cole solution to the KPZ equation with a different boundary condition. AU - Gerencser, Mate AU - Hairer, Martin ID - 319 IS - 3-4 JF - Probability Theory and Related Fields SN - 01788051 TI - Singular SPDEs in domains with boundaries VL - 173 ER -