@article{632, abstract = {We consider a 2D quantum system of N bosons in a trapping potential |x|s, interacting via a pair potential of the form N2β−1 w(Nβ x). We show that for all 0 < β < (s + 1)/(s + 2), the leading order behavior of ground states of the many-body system is described in the large N limit by the corresponding cubic nonlinear Schrödinger energy functional. Our result covers the focusing case (w < 0) where even the stability of the many-body system is not obvious. This answers an open question mentioned by X. Chen and J. Holmer for harmonic traps (s = 2). Together with the BBGKY hierarchy approach used by these authors, our result implies the convergence of the many-body quantum dynamics to the focusing NLS equation with harmonic trap for all 0 < β < 3/4. }, author = {Lewin, Mathieu and Nam, Phan and Rougerie, Nicolas}, journal = {Proceedings of the American Mathematical Society}, number = {6}, pages = {2441 -- 2454}, publisher = {American Mathematical Society}, title = {{A note on 2D focusing many boson systems}}, doi = {10.1090/proc/13468}, volume = {145}, year = {2017}, } @inproceedings{633, abstract = {A Rapidly-exploring Random Tree (RRT) is an algorithm which can search a non-convex region of space by incrementally building a space-filling tree. The tree is constructed from random points drawn from system’s state space and is biased to grow towards large unexplored areas in the system. RRT can provide better coverage of a system’s possible behaviors compared with random simulations, but is more lightweight than full reachability analysis. In this paper, we explore some of the design decisions encountered while implementing a hybrid extension of the RRT algorithm, which have not been elaborated on before. In particular, we focus on handling non-determinism, which arises due to discrete transitions. We introduce the notion of important points to account for this phenomena. We showcase our ideas using heater and navigation benchmarks.}, author = {Bak, Stanley and Bogomolov, Sergiy and Henzinger, Thomas A and Kumar, Aviral}, editor = {Abate, Alessandro and Bodo, Sylvie}, isbn = {978-331963500-2}, location = {Heidelberg, Germany}, pages = {83 -- 89}, publisher = {Springer}, title = {{Challenges and tool implementation of hybrid rapidly exploring random trees}}, doi = {10.1007/978-3-319-63501-9_6}, volume = {10381}, year = {2017}, } @inbook{634, abstract = {As autism spectrum disorder (ASD) is largely regarded as a neurodevelopmental condition, long-time consensus was that its hallmark features are irreversible. However, several studies from recent years using defined mouse models of ASD have provided clear evidence that in mice neurobiological and behavioural alterations can be ameliorated or even reversed by genetic restoration or pharmacological treatment either before or after symptom onset. Here, we review findings on genetic and pharmacological reversibility of phenotypes in mouse models of ASD. Our review should give a comprehensive overview on both aspects and encourage future studies to better understand the underlying molecular mechanisms that might be translatable from animals to humans.}, author = {Schroeder, Jan and Deliu, Elena and Novarino, Gaia and Schmeisser, Michael}, booktitle = {Translational Anatomy and Cell Biology of Autism Spectrum Disorder}, editor = {Schmeisser, Michael and Boekers, Tobias}, pages = {189 -- 211}, publisher = {Springer}, title = {{Genetic and pharmacological reversibility of phenotypes in mouse models of autism spectrum disorder}}, doi = {10.1007/978-3-319-52498-6_10}, volume = {224}, year = {2017}, } @inproceedings{635, abstract = {Memory-hard functions (MHFs) are hash algorithms whose evaluation cost is dominated by memory cost. As memory, unlike computation, costs about the same across different platforms, MHFs cannot be evaluated at significantly lower cost on dedicated hardware like ASICs. MHFs have found widespread applications including password hashing, key derivation, and proofs-of-work. This paper focuses on scrypt, a simple candidate MHF designed by Percival, and described in RFC 7914. It has been used within a number of cryptocurrencies (e.g., Litecoin and Dogecoin) and has been an inspiration for Argon2d, one of the winners of the recent password-hashing competition. Despite its popularity, no rigorous lower bounds on its memory complexity are known. We prove that scrypt is optimally memory-hard, i.e., its cumulative memory complexity (cmc) in the parallel random oracle model is Ω(n2w), where w and n are the output length and number of invocations of the underlying hash function, respectively. High cmc is a strong security target for MHFs introduced by Alwen and Serbinenko (STOC’15) which implies high memory cost even for adversaries who can amortize the cost over many evaluations and evaluate the underlying hash functions many times in parallel. Our proof is the first showing optimal memory-hardness for any MHF. Our result improves both quantitatively and qualitatively upon the recent work by Alwen et al. (EUROCRYPT’16) who proved a weaker lower bound of Ω(n2w/ log2 n) for a restricted class of adversaries.}, author = {Alwen, Joel F and Chen, Binchi and Pietrzak, Krzysztof Z and Reyzin, Leonid and Tessaro, Stefano}, editor = {Coron, Jean-Sébastien and Buus Nielsen, Jesper}, isbn = {978-331956616-0}, location = {Paris, France}, pages = {33 -- 62}, publisher = {Springer}, title = {{Scrypt is maximally memory hard}}, doi = {10.1007/978-3-319-56617-7_2}, volume = {10212}, year = {2017}, } @inproceedings{636, abstract = {Signal regular expressions can specify sequential properties of real-valued signals based on threshold conditions, regular operations, and duration constraints. In this paper we endow them with a quantitative semantics which indicates how robustly a signal matches or does not match a given expression. First, we show that this semantics is a safe approximation of a distance between the signal and the language defined by the expression. Then, we consider the robust matching problem, that is, computing the quantitative semantics of every segment of a given signal relative to an expression. We present an algorithm that solves this problem for piecewise-constant and piecewise-linear signals and show that for such signals the robustness map is a piecewise-linear function. The availability of an indicator describing how robustly a signal segment matches some regular pattern provides a general framework for quantitative monitoring of cyber-physical systems.}, author = {Bakhirkin, Alexey and Ferrere, Thomas and Maler, Oded and Ulus, Dogan}, editor = {Abate, Alessandro and Geeraerts, Gilles}, isbn = {978-331965764-6}, location = {Berlin, Germany}, pages = {189 -- 206}, publisher = {Springer}, title = {{On the quantitative semantics of regular expressions over real-valued signals}}, doi = {10.1007/978-3-319-65765-3_11}, volume = {10419}, year = {2017}, } @inproceedings{637, abstract = {For many cryptographic primitives, it is relatively easy to achieve selective security (where the adversary commits a-priori to some of the choices to be made later in the attack) but appears difficult to achieve the more natural notion of adaptive security (where the adversary can make all choices on the go as the attack progresses). A series of several recent works shows how to cleverly achieve adaptive security in several such scenarios including generalized selective decryption (Panjwani, TCC ’07 and Fuchsbauer et al., CRYPTO ’15), constrained PRFs (Fuchsbauer et al., ASIACRYPT ’14), and Yao garbled circuits (Jafargholi and Wichs, TCC ’16b). Although the above works expressed vague intuition that they share a common technique, the connection was never made precise. In this work we present a new framework that connects all of these works and allows us to present them in a unified and simplified fashion. Moreover, we use the framework to derive a new result for adaptively secure secret sharing over access structures defined via monotone circuits. We envision that further applications will follow in the future. Underlying our framework is the following simple idea. It is well known that selective security, where the adversary commits to n-bits of information about his future choices, automatically implies adaptive security at the cost of amplifying the adversary’s advantage by a factor of up to 2n. However, in some cases the proof of selective security proceeds via a sequence of hybrids, where each pair of adjacent hybrids locally only requires some smaller partial information consisting of m ≪ n bits. The partial information needed might be completely different between different pairs of hybrids, and if we look across all the hybrids we might rely on the entire n-bit commitment. Nevertheless, the above is sufficient to prove adaptive security, at the cost of amplifying the adversary’s advantage by a factor of only 2m ≪ 2n. In all of our examples using the above framework, the different hybrids are captured by some sort of a graph pebbling game and the amount of information that the adversary needs to commit to in each pair of hybrids is bounded by the maximum number of pebbles in play at any point in time. Therefore, coming up with better strategies for proving adaptive security translates to various pebbling strategies for different types of graphs.}, author = {Jafargholi, Zahra and Kamath Hosdurg, Chethan and Klein, Karen and Komargodski, Ilan and Pietrzak, Krzysztof Z and Wichs, Daniel}, editor = {Katz, Jonathan and Shacham, Hovav}, isbn = {978-331963687-0}, location = {Santa Barbara, CA, United States}, pages = {133 -- 163}, publisher = {Springer}, title = {{Be adaptive avoid overcommitting}}, doi = {10.1007/978-3-319-63688-7_5}, volume = {10401}, year = {2017}, } @proceedings{638, abstract = {This book constitutes the refereed proceedings of the 9th InternationalWorkshop on Numerical Software Verification, NSV 2016, held in Toronto, ON, Canada in July 2011 - colocated with CAV 2016, the 28th International Conference on Computer Aided Verification. The NSV workshop is dedicated to the development of logical and mathematical techniques for the reasoning about programmability and reliability.}, editor = {Bogomolov, Sergiy and Martel, Matthieu and Prabhakar, Pavithra}, issn = {0302-9743}, location = {Toronto, ON, Canada}, publisher = {Springer}, title = {{Numerical Software Verification}}, doi = {10.1007/978-3-319-54292-8}, volume = {10152}, year = {2017}, } @inproceedings{640, abstract = {Data-independent Memory Hard Functions (iMHFS) are finding a growing number of applications in security; especially in the domain of password hashing. An important property of a concrete iMHF is specified by fixing a directed acyclic graph (DAG) Gn on n nodes. The quality of that iMHF is then captured by the following two pebbling complexities of Gn: – The parallel cumulative pebbling complexity Π∥cc(Gn) must be as high as possible (to ensure that the amortized cost of computing the function on dedicated hardware is dominated by the cost of memory). – The sequential space-time pebbling complexity Πst(Gn) should be as close as possible to Π∥cc(Gn) (to ensure that using many cores in parallel and amortizing over many instances does not give much of an advantage). In this paper we construct a family of DAGs with best possible parameters in an asymptotic sense, i.e., where Π∥cc(Gn) = Ω(n2/ log(n)) (which matches a known upper bound) and Πst(Gn) is within a constant factor of Π∥cc(Gn). Our analysis relies on a new connection between the pebbling complexity of a DAG and its depth-robustness (DR) – a well studied combinatorial property. We show that high DR is sufficient for high Π∥cc. Alwen and Blocki (CRYPTO’16) showed that high DR is necessary and so, together, these results fully characterize DAGs with high Π∥cc in terms of DR. Complementing these results, we provide new upper and lower bounds on the Π∥cc of several important candidate iMHFs from the literature. We give the first lower bounds on the memory hardness of the Catena and Balloon Hashing functions in a parallel model of computation and we give the first lower bounds of any kind for (a version) of Argon2i. Finally we describe a new class of pebbling attacks improving on those of Alwen and Blocki (CRYPTO’16). By instantiating these attacks we upperbound the Π∥cc of the Password Hashing Competition winner Argon2i and one of the Balloon Hashing functions by O (n1.71). We also show an upper bound of O(n1.625) for the Catena functions and the two remaining Balloon Hashing functions.}, author = {Alwen, Joel F and Blocki, Jeremiah and Pietrzak, Krzysztof Z}, editor = {Coron, Jean-Sébastien and Buus Nielsen, Jesper}, isbn = {978-331956616-0}, location = {Paris, France}, pages = {3 -- 32}, publisher = {Springer}, title = {{Depth-robust graphs and their cumulative memory complexity}}, doi = {10.1007/978-3-319-56617-7_1}, volume = {10212}, year = {2017}, } @inproceedings{641, abstract = {We introduce two novel methods for learning parameters of graphical models for image labelling. The following two tasks underline both methods: (i) perturb model parameters based on given features and ground truth labelings, so as to exactly reproduce these labelings as optima of the local polytope relaxation of the labelling problem; (ii) train a predictor for the perturbed model parameters so that improved model parameters can be applied to the labelling of novel data. Our first method implements task (i) by inverse linear programming and task (ii) using a regressor e.g. a Gaussian process. Our second approach simultaneously solves tasks (i) and (ii) in a joint manner, while being restricted to linearly parameterised predictors. Experiments demonstrate the merits of both approaches.}, author = {Trajkovska, Vera and Swoboda, Paul and Åström, Freddie and Petra, Stefanie}, editor = {Lauze, François and Dong, Yiqiu and Bjorholm Dahl, Anders}, isbn = {978-331958770-7}, location = {Kolding, Denmark}, pages = {323 -- 334}, publisher = {Springer}, title = {{Graphical model parameter learning by inverse linear programming}}, doi = {10.1007/978-3-319-58771-4_26}, volume = {10302}, year = {2017}, } @article{19810, abstract = {Engineering and enhancing the breaking of inversion symmetry in solids—that is, allowing electrons to differentiate between ‘up’ and ‘down’—is a key goal in condensed-matter physics and materials science because it can be used to stabilize states that are of fundamental interest and also have potential practical applications. Examples include improved ferroelectrics for memory devices and materials that host Majorana zero modes for quantum computing1,2. Although inversion symmetry is naturally broken in several crystalline environments, such as at surfaces and interfaces, maximizing the influence of this effect on the electronic states of interest remains a challenge. Here we present a mechanism for realizing a much larger coupling of inversion-symmetry breaking to itinerant surface electrons than is typically achieved. The key element is a pronounced asymmetry of surface hopping energies—that is, a kinetic-energy-coupled inversion-symmetry breaking, the energy scale of which is a substantial fraction of the bandwidth. Using spin- and angle-resolved photoemission spectroscopy, we demonstrate that such a strong inversion-symmetry breaking, when combined with spin–orbit interactions, can mediate Rashba-like3,4 spin splittings that are much larger than would typically be expected. The energy scale of the inversion-symmetry breaking that we achieve is so large that the spin splitting in the CoO2- and RhO2-derived surface states of delafossite oxides becomes controlled by the full atomic spin–orbit coupling of the 3d and 4d transition metals, resulting in some of the largest known Rashba-like3,4 spin splittings. The core structural building blocks that facilitate the bandwidth-scaled inversion-symmetry breaking are common to numerous materials. Our findings therefore provide opportunities for creating spin-textured states and suggest routes to interfacial control of inversion-symmetry breaking in designer heterostructures of oxides and other material classes.}, author = {Sunko, Veronika and Rosner, H. and Kushwaha, P. and Khim, S. and Mazzola, F. and Bawden, L. and Clark, O. J. and Riley, J. M. and Kasinathan, D. and Haverkort, M. W. and Kim, T. K. and Hoesch, M. and Fujii, J. and Vobornik, I. and Mackenzie, A. P. and King, P. D. C.}, issn = {1476-4687}, journal = {Nature}, number = {7673}, pages = {492--496}, publisher = {Springer Nature}, title = {{Maximal Rashba-like spin splitting via kinetic-energy-coupled inversion-symmetry breaking}}, doi = {10.1038/nature23898}, volume = {549}, year = {2017}, } @article{19811, abstract = {We report on a combined study of the de Haas-van Alphen effect and angle-resolved photoemission spectroscopy on single crystals of the metallic delafossite rounded off by ab initio band structure calculations. A high-sensitivity torque magnetometry setup with superconducting quantum interference device readout and synchrotron-based photoemission with a light spot size of enabled high-resolution data to be obtained from samples as small as . The Fermi surface shape is nearly cylindrical with a rounded hexagonal cross section enclosing a Luttinger volume of 1.00(1) electrons per formula unit.}, author = {Arnold, F. and Naumann, M. and Khim, S. and Rosner, H. and Sunko, Veronika and Mazzola, F. and King, P. D. C. and Mackenzie, A. P. and Hassinger, E.}, issn = {2469-9969}, journal = {Physical Review B}, number = {7}, publisher = {American Physical Society}, title = {{Quasi-two-dimensional Fermi surface topography of the delafossite PdRhO2}}, doi = {10.1103/physrevb.96.075163}, volume = {96}, year = {2017}, } @article{19815, abstract = {We report growth of single crystals of the nonmagnetic metallic delafossite PdRhO2, comparing the results from three different methods. Complete crystallographic data were obtained from single crystal X-ray diffraction, and electronic structure calculations were made using the refined structural parameters. Focused-ion beam microstructuring was used to prepare a sample for measurements of the in- and out-of-plane electrical resistivity, and the large observed anisotropy is qualitatively consistent with the cylindrical Fermi surface predicted by the calculations.}, author = {Kushwaha, P. and Borrmann, H. and Khim, S. and Rosner, H. and Moll, P. J. W. and Sokolov, D. A. and Sunko, Veronika and Grin, Yu. and Mackenzie, A. P.}, issn = {1528-7505}, journal = {Crystal Growth & Design}, number = {8}, pages = {4144--4150}, publisher = {American Chemical Society}, title = {{Single crystal growth, structure, and electronic properties of metallic delafossite PdRhO2}}, doi = {10.1021/acs.cgd.7b00418}, volume = {17}, year = {2017}, } @article{2016, abstract = {The Ising model is one of the simplest and most famous models of interacting systems. It was originally proposed to model ferromagnetic interactions in statistical physics and is now widely used to model spatial processes in many areas such as ecology, sociology, and genetics, usually without testing its goodness-of-fit. Here, we propose an exact goodness-of-fit test for the finite-lattice Ising model. The theory of Markov bases has been developed in algebraic statistics for exact goodness-of-fit testing using a Monte Carlo approach. However, this beautiful theory has fallen short of its promise for applications, because finding a Markov basis is usually computationally intractable. We develop a Monte Carlo method for exact goodness-of-fit testing for the Ising model which avoids computing a Markov basis and also leads to a better connectivity of the Markov chain and hence to a faster convergence. We show how this method can be applied to analyze the spatial organization of receptors on the cell membrane.}, author = {Martin Del Campo Sanchez, Abraham and Cepeda Humerez, Sarah A and Uhler, Caroline}, issn = {03036898}, journal = {Scandinavian Journal of Statistics}, number = {2}, pages = {285 -- 306}, publisher = {Wiley-Blackwell}, title = {{Exact goodness-of-fit testing for the Ising model}}, doi = {10.1111/sjos.12251}, volume = {44}, year = {2017}, } @phdthesis{202, abstract = {Restriction-modification (RM) represents the simplest and possibly the most widespread mechanism of self/non-self discrimination in nature. In order to provide bacteria with immunity against bacteriophages and other parasitic genetic elements, RM systems rely on a balance between two enzymes: the restriction enzyme, which cleaves non-self DNA at specific restriction sites, and the modification enzyme, which tags the host’s DNA as self and thus protects it from cleavage. In this thesis, I use population and single-cell level experiments in combination with mathematical modeling to study different aspects of the interplay between RM systems, bacteria and bacteriophages. First, I analyze how mutations in phage restriction sites affect the probability of phage escape – an inherently stochastic process, during which phages accidently get modified instead of restricted. Next, I use single-cell experiments to show that RM systems can, with a low probability, attack the genome of their bacterial host and that this primitive form of autoimmunity leads to a tradeoff between the evolutionary cost and benefit of RM systems. Finally, I investigate the nature of interactions between bacteria, RM systems and temperate bacteriophages to find that, as a consequence of phage escape and its impact on population dynamics, RM systems can promote acquisition of symbiotic bacteriophages, rather than limit it. The results presented here uncover new fundamental biological properties of RM systems and highlight their importance in the ecology and evolution of bacteria, bacteriophages and their interactions.}, author = {Pleska, Maros}, issn = {2663-337X}, pages = {126}, publisher = {Institute of Science and Technology Austria}, title = {{Biology of restriction-modification systems at the single-cell and population level}}, doi = {10.15479/AT:ISTA:th_916}, year = {2017}, } @inproceedings{1001, abstract = {We present a computational approach for designing CurveUps, curvy shells that form from an initially flat state. They consist of small rigid tiles that are tightly held together by two pre-stretched elastic sheets attached to them. Our method allows the realization of smooth, doubly curved surfaces that can be fabricated as a flat piece. Once released, the restoring forces of the pre-stretched sheets support the object to take shape in 3D. CurveUps are structurally stable in their target configuration. The design process starts with a target surface. Our method generates a tile layout in 2D and optimizes the distribution, shape, and attachment areas of the tiles to obtain a configuration that is fabricable and in which the curved up state closely matches the target. Our approach is based on an efficient approximate model and a local optimization strategy for an otherwise intractable nonlinear optimization problem. We demonstrate the effectiveness of our approach for a wide range of shapes, all realized as physical prototypes.}, author = {Guseinov, Ruslan and Miguel, Eder and Bickel, Bernd}, location = {Los Angeles, CA, United States}, number = {4}, publisher = {ACM}, title = {{CurveUps: Shaping objects from flat plates with tension-actuated curvature}}, doi = {10.1145/3072959.3073709}, volume = {36}, year = {2017}, } @inproceedings{1002, abstract = { We present an interactive design system to create functional mechanical objects. Our computational approach allows novice users to retarget an existing mechanical template to a user-specified input shape. Our proposed representation for a mechanical template encodes a parameterized mechanism, mechanical constraints that ensure a physically valid configuration, spatial relationships of mechanical parts to the user-provided shape, and functional constraints that specify an intended functionality. We provide an intuitive interface and optimization-in-the-loop approach for finding a valid configuration of the mechanism and the shape to ensure that higher-level functional goals are met. Our algorithm interactively optimizes the mechanism while the user manipulates the placement of mechanical components and the shape. Our system allows users to efficiently explore various design choices and to synthesize customized mechanical objects that can be fabricated with rapid prototyping technologies. We demonstrate the efficacy of our approach by retargeting various mechanical templates to different shapes and fabricating the resulting functional mechanical objects. }, author = {Zhang, Ran and Auzinger, Thomas and Ceylan, Duygu and Li, Wilmot and Bickel, Bernd}, issn = {0730-0301}, location = {Los Angeles, CA, United States }, number = {4}, publisher = {ACM}, title = {{Functionality-aware retargeting of mechanisms to 3D shapes}}, doi = {10.1145/3072959.3073710}, volume = {36}, year = {2017}, } @inproceedings{1003, abstract = {Network games (NGs) are played on directed graphs and are extensively used in network design and analysis. Search problems for NGs include finding special strategy profiles such as a Nash equilibrium and a globally optimal solution. The networks modeled by NGs may be huge. In formal verification, abstraction has proven to be an extremely effective technique for reasoning about systems with big and even infinite state spaces. We describe an abstraction-refinement methodology for reasoning about NGs. Our methodology is based on an abstraction function that maps the state space of an NG to a much smaller state space. We search for a global optimum and a Nash equilibrium by reasoning on an under- and an overapproximation defined on top of this smaller state space. When the approximations are too coarse to find such profiles, we refine the abstraction function. Our experimental results demonstrate the efficiency of the methodology.}, author = {Avni, Guy and Guha, Shibashis and Kupferman, Orna}, issn = {1045-0823}, location = {Melbourne, Australia}, pages = {70 -- 76}, publisher = {AAAI Press}, title = {{An abstraction-refinement methodology for reasoning about network games}}, doi = {10.24963/ijcai.2017/11}, year = {2017}, } @article{1004, abstract = {The fundamental tasks of the root system are, besides anchoring, mediating interactions between plant and soil and providing the plant with water and nutrients. The architecture of the root system is controlled by endogenous mechanisms that constantly integrate environmental signals, such as availability of nutrients and water. Extremely important for efficient soil exploitation and survival under less favorable conditions is the developmental flexibility of the root system that is largely determined by its postembryonic branching capacity. Modulation of initiation and outgrowth of lateral roots provides roots with an exceptional plasticity, allows optimal adjustment to underground heterogeneity, and enables effective soil exploitation and use of resources. Here we discuss recent advances in understanding the molecular mechanisms that shape the plant root system and integrate external cues to adapt to the changing environment.}, author = {Ötvös, Krisztina and Benková, Eva}, issn = {0959-437X}, journal = {Current Opinion in Genetics & Development}, pages = {82 -- 89}, publisher = {Elsevier}, title = {{Spatiotemporal mechanisms of root branching}}, doi = {10.1016/j.gde.2017.03.010}, volume = {45}, year = {2017}, } @article{1006, abstract = {Background: The phenomenon of immune priming, i.e. enhanced protection following a secondary exposure to a pathogen, has now been demonstrated in a wide range of invertebrate species. Despite accumulating phenotypic evidence, knowledge of its mechanistic underpinnings is currently very limited. Here we used the system of the red flour beetle, Tribolium castaneum and the insect pathogen Bacillus thuringiensis (Bt) to further our molecular understanding of the oral immune priming phenomenon. We addressed how ingestion of bacterial cues (derived from spore supernatants) of an orally pathogenic and non-pathogenic Bt strain affects gene expression upon later challenge exposure, using a whole-transcriptome sequencing approach. Results: Whereas gene expression of individuals primed with the orally non-pathogenic strain showed minor changes to controls, we found that priming with the pathogenic strain induced regulation of a large set of distinct genes, many of which are known immune candidates. Intriguingly, the immune repertoire activated upon priming and subsequent challenge qualitatively differed from the one mounted upon infection with Bt without previous priming. Moreover, a large subset of priming-specific genes showed an inverse regulation compared to their regulation upon challenge only. Conclusions: Our data demonstrate that gene expression upon infection is strongly affected by previous immune priming. We hypothesise that this shift in gene expression indicates activation of a more targeted and efficient response towards a previously encountered pathogen, in anticipation of potential secondary encounter.}, author = {Greenwood, Jenny and Milutinovic, Barbara and Peuß, Robert and Behrens, Sarah and Essar, Daniela and Rosenstiel, Philip and Schulenburg, Hinrich and Kurtz, Joachim}, issn = {1471-2164}, journal = {BMC Genomics}, number = {1}, pages = {329}, publisher = {BioMed Central}, title = {{Oral immune priming with Bacillus thuringiensis induces a shift in the gene expression of Tribolium castaneum larvae}}, doi = {10.1186/s12864-017-3705-7}, volume = {18}, year = {2017}, } @article{1007, abstract = {A nonlinear system possesses an invariance with respect to a set of transformations if its output dynamics remain invariant when transforming the input, and adjusting the initial condition accordingly. Most research has focused on invariances with respect to time-independent pointwise transformations like translational-invariance (u(t) -> u(t) + p, p in R) or scale-invariance (u(t) -> pu(t), p in R>0). In this article, we introduce the concept of s0-invariances with respect to continuous input transformations exponentially growing/decaying over time. We show that s0-invariant systems not only encompass linear time-invariant (LTI) systems with transfer functions having an irreducible zero at s0 in R, but also that the input/output relationship of nonlinear s0-invariant systems possesses properties well known from their linear counterparts. Furthermore, we extend the concept of s0-invariances to second- and higher-order s0-invariances, corresponding to invariances with respect to transformations of the time-derivatives of the input, and encompassing LTI systems with zeros of multiplicity two or higher. Finally, we show that nth-order 0-invariant systems realize – under mild conditions – nth-order nonlinear differential operators: when excited by an input of a characteristic functional form, the system’s output converges to a constant value only depending on the nth (nonlinear) derivative of the input.}, author = {Lang, Moritz and Sontag, Eduardo}, issn = {0005-1098}, journal = {Automatica}, pages = {46 -- 55}, publisher = {International Federation of Automatic Control}, title = {{Zeros of nonlinear systems with input invariances}}, doi = {10.1016/j.automatica.2017.03.030}, volume = {81C}, year = {2017}, }