@article{1282, abstract = {We consider higher-dimensional generalizations of the normalized Laplacian and the adjacency matrix of graphs and study their eigenvalues for the Linial–Meshulam model Xk(n, p) of random k-dimensional simplicial complexes on n vertices. We show that for p = Ω(logn/n), the eigenvalues of each of the matrices are a.a.s. concentrated around two values. The main tool, which goes back to the work of Garland, are arguments that relate the eigenvalues of these matrices to those of graphs that arise as links of (k - 2)-dimensional faces. Garland’s result concerns the Laplacian; we develop an analogous result for the adjacency matrix. The same arguments apply to other models of random complexes which allow for dependencies between the choices of k-dimensional simplices. In the second part of the paper, we apply this to the question of possible higher-dimensional analogues of the discrete Cheeger inequality, which in the classical case of graphs relates the eigenvalues of a graph and its edge expansion. It is very natural to ask whether this generalizes to higher dimensions and, in particular, whether the eigenvalues of the higher-dimensional Laplacian capture the notion of coboundary expansion—a higher-dimensional generalization of edge expansion that arose in recent work of Linial and Meshulam and of Gromov; this question was raised, for instance, by Dotterrer and Kahle. We show that this most straightforward version of a higher-dimensional discrete Cheeger inequality fails, in quite a strong way: For every k ≥ 2 and n ∈ N, there is a k-dimensional complex Yn k on n vertices that has strong spectral expansion properties (all nontrivial eigenvalues of the normalised k-dimensional Laplacian lie in the interval [1−O(1/√1), 1+0(1/√1]) but whose coboundary expansion is bounded from above by O(log n/n) and so tends to zero as n → ∞; moreover, Yn k can be taken to have vanishing integer homology in dimension less than k.}, author = {Gundert, Anna and Wagner, Uli}, journal = {Israel Journal of Mathematics}, number = {2}, pages = {545 -- 582}, publisher = {Springer}, title = {{On eigenvalues of random complexes}}, doi = {10.1007/s11856-016-1419-1}, volume = {216}, year = {2016}, } @article{1283, abstract = {The impact of the plant hormone ethylene on seedling development has long been recognized; however, its ecophysiological relevance is unexplored. Three recent studies demonstrate that ethylene is a critical endogenous integrator of various environmental signals including mechanical stress, light, and oxygen availability during seedling germination and growth through the soil.}, author = {Zhu, Qiang and Benková, Eva}, journal = {Trends in Plant Science}, number = {10}, pages = {809 -- 811}, publisher = {Cell Press}, title = {{Seedlings’ strategy to overcome a soil barrier}}, doi = {10.1016/j.tplants.2016.08.003}, volume = {21}, year = {2016}, } @article{1284, abstract = {Brassinosteroids (BRs) are growth-promoting plant hormones that play a role in abiotic stress responses, but molecular modes that enable this activity remain largely unknown. Here we show that BRs participate in the regulation of freezing tolerance. BR signaling-defective mutants of Arabidopsis thaliana were hypersensitive to freezing before and after cold acclimation. The constitutive activation of BR signaling, in contrast, enhanced freezing resistance. Evidence is provided that the BR-controlled basic helix-loop-helix transcription factor CESTA (CES) can contribute to the constitutive expression of the C-REPEAT/DEHYDRATION-RESPONSIVE ELEMENT BINDING FACTOR (CBF) transcriptional regulators that control cold responsive (COR) gene expression. In addition, CBF-independent classes of BR-regulated COR genes are identified that are regulated in a BR- and CES-dependent manner during cold acclimation. A model is presented in which BRs govern different cold-responsive transcriptional cascades through the post-translational modification of CES and redundantly acting factors. This contributes to the basal resistance against freezing stress, but also to the further improvement of this resistance through cold acclimation.}, author = {Eremina, Marina and Unterholzner, Simon and Rathnayake, Ajith and Castellanos, Marcos and Khan-Djamei, Mamoona and Kügler, Karl and May, Sean and Mayer, Klaus and Rozhon, Wilfried and Poppenberger, Brigitte}, journal = {PNAS}, number = {40}, pages = {E5982 -- E5991}, publisher = {National Academy of Sciences}, title = {{Brassinosteroids participate in the control of basal and acquired freezing tolerance of plants}}, doi = {10.1073/pnas.1611477113}, volume = {113}, year = {2016}, } @article{1285, abstract = {Cell migration is central to a multitude of physiological processes, including embryonic development, immune surveillance, and wound healing, and deregulated migration is key to cancer dissemination. Decades of investigations have uncovered many of the molecular and physical mechanisms underlying cell migration. Together with protrusion extension and cell body retraction, adhesion to the substrate via specific focal adhesion points has long been considered an essential step in cell migration. Although this is true for cells moving on two-dimensional substrates, recent studies have demonstrated that focal adhesions are not required for cells moving in three dimensions, in which confinement is sufficient to maintain a cell in contact with its substrate. Here, we review the investigations that have led to challenging the requirement of specific adhesions for migration, discuss the physical mechanisms proposed for cell body translocation during focal adhesion-independent migration, and highlight the remaining open questions for the future.}, author = {Paluch, Ewa and Aspalter, Irene and Sixt, Michael K}, journal = {Annual Review of Cell and Developmental Biology}, pages = {469 -- 490}, publisher = {Annual Reviews}, title = {{Focal adhesion-independent cell migration}}, doi = {10.1146/annurev-cellbio-111315-125341}, volume = {32}, year = {2016}, } @article{1286, abstract = {We use recently developed angulon theory [R. Schmidt and M. Lemeshko, Phys. Rev. Lett. 114, 203001 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.203001] to study the rotational spectrum of a cyanide molecular anion immersed into Bose-Einstein condensates of rubidium and strontium. Based on ab initio potential energy surfaces, we provide a detailed study of the rotational Lamb shift and many-body-induced fine structure which arise due to dressing of molecular rotation by a field of phonon excitations. We demonstrate that the magnitude of these effects is large enough in order to be observed in modern experiments on cold molecular ions. Furthermore, we introduce a novel method to construct pseudopotentials starting from the ab initio potential energy surfaces, which provides a means to obtain effective coupling constants for low-energy polaron models.}, author = {Midya, Bikashkali and Tomza, Michał and Schmidt, Richard and Lemeshko, Mikhail}, journal = {Physical Review A - Atomic, Molecular, and Optical Physics}, number = {4}, publisher = {American Physical Society}, title = {{Rotation of cold molecular ions inside a Bose-Einstein condensate}}, doi = {10.1103/PhysRevA.94.041601}, volume = {94}, year = {2016}, } @article{1287, abstract = {A planar waveguide with an impedance boundary, composed of nonperfect metallic plates, and with passive or active dielectric filling, is considered. We show the possibility of selective mode guiding and amplification when a homogeneous pump is added to the dielectric and analyze differences in TE and TM mode propagation. Such a non-conservative system is also shown to feature exceptional points for specific and experimentally tunable parameters, which are described for a particular case of transparent dielectric.}, author = {Midya, Bikashkali and Konotop, Vladimir}, journal = {Optics Letters}, number = {20}, pages = {4621 -- 4624}, publisher = {Optica Publishing Group}, title = {{Modes and exceptional points in waveguides with impedance boundary conditions}}, doi = {10.1364/OL.41.004621}, volume = {41}, year = {2016}, } @article{1288, abstract = {Respiratory complex I transfers electrons from NADH to quinone, utilizing the reaction energy to translocate protons across the membrane. It is a key enzyme of the respiratory chain of many prokaryotic and most eukaryotic organisms. The reversible NADH oxidation reaction is facilitated in complex I by non-covalently bound flavin mononucleotide (FMN). Here we report that the catalytic activity of E. coli complex I with artificial electron acceptors potassium ferricyanide (FeCy) and hexaamineruthenium (HAR) is significantly inhibited in the enzyme pre-reduced by NADH. Further, we demonstrate that the inhibition is caused by reversible dissociation of FMN. The binding constant (Kd) for FMN increases from the femto- or picomolar range in oxidized complex I to the nanomolar range in the NADH reduced enzyme, with an FMN dissociation time constant of ~ 5 s. The oxidation state of complex I, rather than that of FMN, proved critical to the dissociation. Such dissociation is not observed with the T. thermophilus enzyme and our analysis suggests that the difference may be due to the unusually high redox potential of Fe-S cluster N1a in E. coli. It is possible that the enzyme attenuates ROS production in vivo by releasing FMN under highly reducing conditions.}, author = {Holt, Peter and Efremov, Rouslan and Nakamaru Ogiso, Eiko and Sazanov, Leonid A}, journal = {Biochimica et Biophysica Acta - Bioenergetics}, number = {11}, pages = {1777 -- 1785}, publisher = {Elsevier}, title = {{Reversible FMN dissociation from Escherichia coli respiratory complex I}}, doi = {10.1016/j.bbabio.2016.08.008}, volume = {1857}, year = {2016}, } @article{1289, abstract = {Aiming at the automatic diagnosis of tumors using narrow band imaging (NBI) magnifying endoscopic (ME) images of the stomach, we combine methods from image processing, topology, geometry, and machine learning to classify patterns into three classes: oval, tubular and irregular. Training the algorithm on a small number of images of each type, we achieve a high rate of correct classifications. The analysis of the learning algorithm reveals that a handful of geometric and topological features are responsible for the overwhelming majority of decisions.}, author = {Dunaeva, Olga and Edelsbrunner, Herbert and Lukyanov, Anton and Machin, Michael and Malkova, Daria and Kuvaev, Roman and Kashin, Sergey}, journal = {Pattern Recognition Letters}, number = {1}, pages = {13 -- 22}, publisher = {Elsevier}, title = {{The classification of endoscopy images with persistent homology}}, doi = {10.1016/j.patrec.2015.12.012}, volume = {83}, year = {2016}, } @article{1290, abstract = {We developed a competition-based screening strategy to identify compounds that invert the selective advantage of antibiotic resistance. Using our assay, we screened over 19,000 compounds for the ability to select against the TetA tetracycline-resistance efflux pump in Escherichia coli and identified two hits, β-thujaplicin and disulfiram. Treating a tetracycline-resistant population with β-thujaplicin selects for loss of the resistance gene, enabling an effective second-phase treatment with doxycycline.}, author = {Stone, Laura and Baym, Michael and Lieberman, Tami and Chait, Remy P and Clardy, Jon and Kishony, Roy}, journal = {Nature Chemical Biology}, number = {11}, pages = {902 -- 904}, publisher = {Nature Publishing Group}, title = {{Compounds that select against the tetracycline-resistance efflux pump}}, doi = {10.1038/nchembio.2176}, volume = {12}, year = {2016}, } @inproceedings{12903, author = {Schlögl, Alois and Stadlbauer, Stephan}, booktitle = {AHPC16 - Austrian HPC Meeting 2016}, location = {Grundlsee, Austria}, pages = {37}, publisher = {VSC - Vienna Scientific Cluster}, title = {{High performance computing at IST Austria: Modelling the human hippocampus}}, year = {2016}, } @article{1291, abstract = {We consider Ising models in two and three dimensions, with short range ferromagnetic and long range, power-law decaying, antiferromagnetic interactions. We let J be the ratio between the strength of the ferromagnetic to antiferromagnetic interactions. The competition between these two kinds of interactions induces the system to form domains of minus spins in a background of plus spins, or vice versa. If the decay exponent p of the long range interaction is larger than d + 1, with d the space dimension, this happens for all values of J smaller than a critical value Jc(p), beyond which the ground state is homogeneous. In this paper, we give a characterization of the infinite volume ground states of the system, for p > 2d and J in a left neighborhood of Jc(p). In particular, we prove that the quasi-one-dimensional states consisting of infinite stripes (d = 2) or slabs (d = 3), all of the same optimal width and orientation, and alternating magnetization, are infinite volume ground states. Our proof is based on localization bounds combined with reflection positivity.}, author = {Giuliani, Alessandro and Seiringer, Robert}, journal = {Communications in Mathematical Physics}, number = {3}, pages = {983 -- 1007}, publisher = {Springer}, title = {{Periodic striped ground states in Ising models with competing interactions}}, doi = {10.1007/s00220-016-2665-0}, volume = {347}, year = {2016}, } @article{1292, abstract = {We give explicit formulas and algorithms for the computation of the Thurston–Bennequin invariant of a nullhomologous Legendrian knot on a page of a contact open book and on Heegaard surfaces in convex position. Furthermore, we extend the results to rationally nullhomologous knots in arbitrary 3-manifolds.}, author = {Durst, Sebastian and Kegel, Marc and Klukas, Mirko D}, journal = {Acta Mathematica Hungarica}, number = {2}, pages = {441 -- 455}, publisher = {Springer}, title = {{Computing the Thurston–Bennequin invariant in open books}}, doi = {10.1007/s10474-016-0648-4}, volume = {150}, year = {2016}, } @article{1293, abstract = {For a graph G with p vertices the closed convex cone S⪰0(G) consists of all real positive semidefinite p×p matrices whose sparsity pattern is given by G, that is, those matrices with zeros in the off-diagonal entries corresponding to nonedges of G. The extremal rays of this cone and their associated ranks have applications to matrix completion problems, maximum likelihood estimation in Gaussian graphical models in statistics, and Gauss elimination for sparse matrices. While the maximum rank of an extremal ray in S⪰0(G), known as the sparsity order of G, has been characterized for different classes of graphs, we here study all possible extremal ranks of S⪰0(G). We investigate when the geometry of the (±1)-cut polytope of G yields a polyhedral characterization of the set of extremal ranks of S⪰0(G). For a graph G without K5 minors, we show that appropriately chosen normal vectors to the facets of the (±1)-cut polytope of G specify the off-diagonal entries of extremal matrices in S⪰0(G). We also prove that for appropriately chosen scalars the constant term of the linear equation of each facet-supporting hyperplane is the rank of its corresponding extremal matrix in S⪰0(G). Furthermore, we show that if G is series-parallel then this gives a complete characterization of all possible extremal ranks of S⪰0(G). Consequently, the sparsity order problem for series-parallel graphs can be solved in terms of polyhedral geometry.}, author = {Solus, Liam T and Uhler, Caroline and Yoshida, Ruriko}, journal = {Linear Algebra and Its Applications}, pages = {247 -- 275}, publisher = {Elsevier}, title = {{Extremal positive semidefinite matrices whose sparsity pattern is given by graphs without K5 minors}}, doi = {10.1016/j.laa.2016.07.026}, volume = {509}, year = {2016}, } @article{1295, abstract = {Voronoi diagrams and Delaunay triangulations have been extensively used to represent and compute geometric features of point configurations. We introduce a generalization to poset diagrams and poset complexes, which contain order-k and degree-k Voronoi diagrams and their duals as special cases. Extending a result of Aurenhammer from 1990, we show how to construct poset diagrams as weighted Voronoi diagrams of average balls.}, author = {Edelsbrunner, Herbert and Iglesias Ham, Mabel}, journal = {Electronic Notes in Discrete Mathematics}, pages = {169 -- 174}, publisher = {Elsevier}, title = {{Multiple covers with balls II: Weighted averages}}, doi = {10.1016/j.endm.2016.09.030}, volume = {54}, year = {2016}, } @article{1303, abstract = {In bright light, cone-photoreceptors are active and colour vision derives from a comparison of signals in cones with different visual pigments. This comparison begins in the retina, where certain retinal ganglion cells have 'colour-opponent' visual responses-excited by light of one colour and suppressed by another colour. In dim light, rod-photoreceptors are active, but colour vision is impossible because they all use the same visual pigment. Instead, the rod signals are thought to splice into retinal circuits at various points, in synergy with the cone signals. Here we report a new circuit for colour vision that challenges these expectations. A genetically identified type of mouse retinal ganglion cell called JAMB (J-RGC), was found to have colour-opponent responses, OFF to ultraviolet (UV) light and ON to green light. Although the mouse retina contains a green-sensitive cone, the ON response instead originates in rods. Rods and cones both contribute to the response over several decades of light intensity. Remarkably, the rod signal in this circuit is antagonistic to that from cones. For rodents, this UV-green channel may play a role in social communication, as suggested by spectral measurements from the environment. In the human retina, all of the components for this circuit exist as well, and its function can explain certain experiences of colour in dim lights, such as a 'blue shift' in twilight. The discovery of this genetically defined pathway will enable new targeted studies of colour processing in the brain.}, author = {Maximilian Jösch and Meister, Markus}, journal = {Nature}, number = {7598}, pages = {236 -- 239}, publisher = {Nature Publishing Group}, title = {{A neuronal circuit for colour vision based on rod-cone opponency}}, doi = {10.1038/nature17158}, volume = {532}, year = {2016}, } @article{1306, abstract = {Resolving patterns of synaptic connectivity in neural circuits currently requires serial section electron microscopy. However, complete circuit reconstruction is prohibitively slow and may not be necessary for many purposes such as comparing neuronal structure and connectivity among multiple animals. Here, we present an alternative strategy, targeted reconstruction of specific neuronal types. We used viral vectors to deliver peroxidase derivatives, which catalyze production of an electron-dense tracer, to genetically identify neurons, and developed a protocol that enhances the electron-density of the labeled cells while retaining the quality of the ultrastructure. The high contrast of the marked neurons enabled two innovations that speed data acquisition: targeted high-resolution reimaging of regions selected from rapidly-acquired lower resolution reconstruction, and an unsupervised segmentation algorithm. This pipeline reduces imaging and reconstruction times by two orders of magnitude, facilitating directed inquiry of circuit motifs.}, author = {Maximilian Jösch and Mankus, David and Yamagata, Masahito and Shahbazi, Ali and Schalek, Richard L and Suissa-Peleg, Adi and Meister, Markus and Lichtman, Jeff W and Scheirer, Walter J and Sanes, Joshua R}, journal = {eLife}, number = {2016JULY}, publisher = {eLife Sciences Publications}, title = {{Reconstruction of genetically identified neurons imaged by serial-section electron microscopy}}, doi = {10.7554/eLife.15015}, volume = {5}, year = {2016}, } @article{1315, abstract = {We prove optimal second order convergence of a modified lowest-order Brezzi-Douglas-Marini (BDM1) mixed finite element scheme for advection-diffusion problems in divergence form. If advection is present, it is known that the total flux is approximated only with first-order accuracy by the classical BDM1 mixed method, which is suboptimal since the same order of convergence is obtained if the computationally less expensive Raviart-Thomas (RT0) element is used. The modification that was first proposed by Brunner et al. [Adv. Water Res., 35 (2012),pp. 163-171] is based on the hybrid problem formulation and consists in using the Lagrange multipliers for the discretization of the advective term instead of the cellwise constant approximation of the scalar unknown.}, author = {Brunner, Fabian and Julian Fischer and Knabner, Peter}, journal = {SIAM Journal on Numerical Analysis}, number = {4}, pages = {2359 -- 2378}, publisher = {Society for Industrial and Applied Mathematics }, title = {{Analysis of a modified second-order mixed hybrid BDM1 finite element method for transport problems in divergence form}}, doi = {10.1137/15M1035379}, volume = {54}, year = {2016}, } @article{1317, abstract = {We analyze the behaviour of free boundaries in thin-film flow in the regime of strong slippage n∈[1,2) and in the regime of very weak slippage n∈,3) qualitatively and quantitatively. In the regime of strong slippage, we construct initial data which are bounded from above by the steady state but for which nevertheless instantaneous forward motion of the free boundary occurs. This shows that the initial behaviour of the free boundary is not determined just by the growth of the initial data at the free boundary. Note that this is a new phenomenon for degenerate parabolic equations which is specific for higher-order equations. Furthermore, this result resolves a controversy in the literature over optimality of sufficient conditions for the occurrence of a waiting time phenomenon. In contrast, in the regime of very weak slippage we derive lower bounds on free boundary propagation which are optimal in the sense that they coincide up to a constant factor with the known upper bounds. In particular, in this regime the growth of the initial data at the free boundary fully determines the initial behaviour of the interface.}, author = {Julian Fischer}, journal = {Annales de l'Institut Henri Poincare (C) Non Linear Analysis}, number = {5}, pages = {1301 -- 1327}, publisher = {Elsevier}, title = {{Behaviour of free boundaries in thin-film flow: The regime of strong slippage and the regime of very weak slippage}}, doi = {10.1016/j.anihpc.2015.05.001}, volume = {33}, year = {2016}, } @article{1318, abstract = {We develop a large-scale regularity theory of higher order for divergence-form elliptic equations with heterogeneous coefficient fields a in the context of stochastic homogenization. The large-scale regularity of a-harmonic functions is encoded by Liouville principles: The space of a-harmonic functions that grow at most like a polynomial of degree k has the same dimension as in the constant-coefficient case. This result can be seen as the qualitative side of a large-scale Ck,α-regularity theory, which in the present work is developed in the form of a corresponding Ck,α-“excess decay” estimate: For a given a-harmonic function u on a ball BR, its energy distance on some ball Br to the above space of a-harmonic functions that grow at most like a polynomial of degree k has the natural decay in the radius r above some minimal radius r0. Though motivated by stochastic homogenization, the contribution of this paper is of purely deterministic nature: We work under the assumption that for the given realization a of the coefficient field, the couple (φ, σ) of scalar and vector potentials of the harmonic coordinates, where φ is the usual corrector, grows sublinearly in a mildly quantified way. We then construct “kth-order correctors” and thereby the space of a-harmonic functions that grow at most like a polynomial of degree k, establish the above excess decay, and then the corresponding Liouville principle.}, author = {Julian Fischer and Otto, Felix}, journal = {Communications in Partial Differential Equations}, number = {7}, pages = {1108 -- 1148}, publisher = {Taylor & Francis}, title = {{A higher-order large scale regularity theory for random elliptic operators}}, doi = {10.1080/03605302.2016.1179318}, volume = {41}, year = {2016}, } @inproceedings{1319, abstract = {We present a novel optimization-based algorithm for the design and fabrication of customized, deformable input devices, capable of continuously sensing their deformation. We propose to embed piezoresistive sensing elements into flexible 3D printed objects. These sensing elements are then utilized to recover rich and natural user interactions at runtime. Designing such objects is a challenging and hard problem if attempted manually for all but the simplest geometries and deformations. Our method simultaneously optimizes the internal routing of the sensing elements and computes a mapping from low-level sensor readings to user-specified outputs in order to minimize reconstruction error. We demonstrate the power and flexibility of the approach by designing and fabricating a set of flexible input devices. Our results indicate that the optimization-based design greatly outperforms manual routings in terms of reconstruction accuracy and thus interaction fidelity.}, author = {Bächer, Moritz and Hepp, Benjamin and Pece, Fabrizio and Kry, Paul and Bickel, Bernd and Thomaszewski, Bernhard and Hilliges, Otmar}, location = {San Jose, California, USA}, pages = {3806 -- 3816}, publisher = {ACM}, title = {{DefSense: computational design of customized deformable input devices}}, doi = {10.1145/2858036.2858354}, year = {2016}, }