TY - JOUR AB - We derive the equations for a thin, axisymmetric elastic shell subjected to an internal active stress giving rise to active tension and moments within the shell. We discuss the stability of a cylindrical elastic shell and its response to a localized change in internal active stress. This description is relevant to describe the cellular actomyosin cortex, a thin shell at the cell surface behaving elastically at a short timescale and subjected to active internal forces arising from myosin molecular motor activity. We show that the recent observations of cell deformation following detachment of adherent cells (Maître J-L et al 2012 Science 338 253-6) are well accounted for by this mechanical description. The actin cortex elastic and bending moduli can be obtained from a quantitative analysis of cell shapes observed in these experiments. Our approach thus provides a non-invasive, imaging-based method for the extraction of cellular physical parameters. AU - Berthoumieux, Hélène AU - Maître, Jean-Léon AU - Heisenberg, Carl-Philipp J AU - Paluch, Ewa AU - Julicher, Frank AU - Salbreux, Guillaume ID - 1923 JF - New Journal of Physics TI - Active elastic thin shell theory for cellular deformations VL - 16 ER - TY - JOUR AB - Cell polarity manifested by asymmetric distribution of cargoes, such as receptors and transporters, within the plasma membrane (PM) is crucial for essential functions in multicellular organisms. In plants, cell polarity (re)establishment is intimately linked to patterning processes. Despite the importance of cell polarity, its underlying mechanisms are still largely unknown, including the definition and distinctiveness of the polar domains within the PM. Here, we show in Arabidopsis thaliana that the signaling membrane components, the phosphoinositides phosphatidylinositol 4-phosphate (PtdIns4P) and phosphatidylinositol 4, 5-bisphosphate [PtdIns(4, 5)P2] as well as PtdIns4P 5-kinases mediating their interconversion, are specifically enriched at apical and basal polar plasma membrane domains. The PtdIns4P 5-kinases PIP5K1 and PIP5K2 are redundantly required for polar localization of specifically apical and basal cargoes, such as PIN-FORMED transporters for the plant hormone auxin. As a consequence of the polarity defects, instructive auxin gradients as well as embryonic and postembryonic patterning are severely compromised. Furthermore, auxin itself regulates PIP5K transcription and PtdIns4P and PtdIns(4, 5)P2 levels, in particular their association with polar PM domains. Our results provide insight into the polar domain-delineating mechanisms in plant cells that depend on apical and basal distribution of membrane lipids and are essential for embryonic and postembryonic patterning. AU - Tejos, Ricardo AU - Sauer, Michael AU - Vanneste, Steffen AU - Palacios-Gomez, MiriamPalacios AU - Li, Hongjiang AU - Heilmann, Mareike AU - Van Wijk, Ringo AU - Vermeer, Joop AU - Heilmann, Ingo AU - Munnik, Teun AU - Friml, Jirí ID - 1921 IS - 5 JF - Plant Cell TI - Bipolar plasma membrane distribution of phosphoinositides and their requirement for auxin-mediated cell polarity and patterning in Arabidopsis VL - 26 ER - TY - JOUR AB - Germination of Arabidopsis seeds in darkness induces apical hook development, based on a tightly regulated differential growth coordinated by a multiple hormone cross-talk. Here, we endeavoured to clarify the function of brassinosteroids (BRs) and cross-talk with ethylene in hook development. An automated infrared imaging system was developed to study the kinetics of hook development in etiolated Arabidopsis seedlings. To ascertain the photomorphogenic control of hook opening, the system was equipped with an automatic light dimmer. We demonstrate that ethylene and BRs are indispensable for hook formation and maintenance. Ethylene regulation of hook formation functions partly through BRs, with BR feedback inhibition of ethylene action. Conversely, BR-mediated extension of hook maintenance functions partly through ethylene. Furthermore, we revealed that a short light pulse is sufficient to induce rapid hook opening. Our dynamic infrared imaging system allows high-resolution, kinetic imaging of up to 112 seedlings in a single experimental run. At this high throughput, it is ideally suited to rapidly gain insight in pathway networks. We demonstrate that BRs and ethylene cooperatively regulate apical hook development in a phase-dependent manner. Furthermore, we show that light is a predominant regulator of hook opening, inhibiting ethylene- and BR-mediated postponement of hook opening. AU - Smet, Dajo AU - Žádníková, Petra AU - Vandenbussche, Filip AU - Benková, Eva AU - Van Der Straeten, Dominique ID - 1922 IS - 4 JF - New Phytologist TI - Dynamic infrared imaging analysis of apical hook development in Arabidopsis: The case of brassinosteroids VL - 202 ER - TY - CONF AB - Constrained pseudorandom functions have recently been introduced independently by Boneh and Waters (Asiacrypt’13), Kiayias et al. (CCS’13), and Boyle et al. (PKC’14). In a standard pseudorandom function (PRF) a key k is used to evaluate the PRF on all inputs in the domain. Constrained PRFs additionally offer the functionality to delegate “constrained” keys kS which allow to evaluate the PRF only on a subset S of the domain. The three above-mentioned papers all show that the classical GGM construction (J.ACM’86) of a PRF from a pseudorandom generator (PRG) directly yields a constrained PRF where one can compute constrained keys to evaluate the PRF on all inputs with a given prefix. This constrained PRF has already found many interesting applications. Unfortunately, the existing security proofs only show selective security (by a reduction to the security of the underlying PRG). To achieve full security, one has to use complexity leveraging, which loses an exponential factor 2N in security, where N is the input length. The first contribution of this paper is a new reduction that only loses a quasipolynomial factor qlog N, where q is the number of adversarial queries. For this we develop a new proof technique which constructs a distinguisher by interleaving simple guessing steps and hybrid arguments a small number of times. This approach might be of interest also in other contexts where currently the only technique to achieve full security is complexity leveraging. Our second contribution is concerned with another constrained PRF, due to Boneh and Waters, which allows for constrained keys for the more general class of bit-fixing functions. Their security proof also suffers from a 2N loss, which we show is inherent. We construct a meta-reduction which shows that any “simple” reduction of full security from a noninteractive hardness assumption must incur an exponential security loss. AU - Georg Fuchsbauer AU - Konstantinov, Momchil AU - Krzysztof Pietrzak AU - Rao, Vanishree ID - 1927 TI - Adaptive security of constrained PRFs VL - 8874 ER - TY - JOUR AB - We consider cross products of finite graphs with a class of trees that have arbitrarily but finitely long line segments, such as the Fibonacci tree. Such cross products are called tree-strips. We prove that for small disorder random Schrödinger operators on such tree-strips have purely absolutely continuous spectrum in a certain set. AU - Sadel, Christian ID - 1926 IS - 3-4 JF - Mathematical Physics, Analysis and Geometry TI - Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips VL - 17 ER - TY - JOUR AB - Stomata are two-celled valves that control epidermal pores whose spacing optimizes shoot-atmosphere gas exchange. They develop from protodermal cells after unequal divisions followed by an equal division and differentiation. The concentration of the hormone auxin, a master plant developmental regulator, is tightly controlled in time and space, but its role, if any, in stomatal formation is obscure. Here dynamic changes of auxin activity during stomatal development are monitored using auxin input (DII-VENUS) and output (DR5:VENUS) markers by time-lapse imaging. A decrease in auxin levels in the smaller daughter cell after unequal division presages the acquisition of a guard mother cell fate whose equal division produces the two guard cells. Thus, stomatal patterning requires auxin pathway control of stem cell compartment size, as well as auxin depletion that triggers a developmental switch from unequal to equal division. AU - Le, Jie AU - Liu, Xuguang AU - Yang, Kezhen AU - Chen, Xiaolan AU - Zhu, Lingling AU - Wang, Hongzhe AU - Wang, Ming AU - Vanneste, Steffen AU - Morita, Miyo AU - Tasaka, Masao AU - Ding, Zhaojun AU - Friml, Jirí AU - Beeckman, Tom AU - Sack, Fred ID - 1924 JF - Nature Communications TI - Auxin transport and activity regulate stomatal patterning and development VL - 5 ER - TY - JOUR AB - In infectious disease epidemiology the basic reproductive ratio, R0, is defined as the average number of new infections caused by a single infected individual in a fully susceptible population. Many models describing competition for hosts between non-interacting pathogen strains in an infinite population lead to the conclusion that selection favors invasion of new strains if and only if they have higher R0 values than the resident. Here we demonstrate that this picture fails in finite populations. Using a simple stochastic SIS model, we show that in general there is no analogous optimization principle. We find that successive invasions may in some cases lead to strains that infect a smaller fraction of the host population, and that mutually invasible pathogen strains exist. In the limit of weak selection we demonstrate that an optimization principle does exist, although it differs from R0 maximization. For strains with very large R0, we derive an expression for this local fitness function and use it to establish a lower bound for the error caused by neglecting stochastic effects. Furthermore, we apply this weak selection limit to investigate the selection dynamics in the presence of a trade-off between the virulence and the transmission rate of a pathogen. AU - Humplik, Jan AU - Hill, Alison AU - Nowak, Martin ID - 1928 JF - Journal of Theoretical Biology TI - Evolutionary dynamics of infectious diseases in finite populations VL - 360 ER - TY - JOUR AB - We propose an algorithm for the generalization of cartographic objects that can be used to represent maps on different scales. AU - Alexeev, V V AU - Bogaevskaya, V G AU - Preobrazhenskaya, M M AU - Ukhalov, A Y AU - Edelsbrunner, Herbert AU - Yakimova, Olga ID - 1929 IS - 6 JF - Journal of Mathematical Sciences SN - 1072-3374 TI - An algorithm for cartographic generalization that preserves global topology VL - 203 ER - TY - JOUR AB - We consider Ising models in d = 2 and d = 3 dimensions with nearest neighbor ferromagnetic and long-range antiferromagnetic interactions, the latter decaying as (distance)-p, p > 2d, at large distances. If the strength J of the ferromagnetic interaction is larger than a critical value J c, then the ground state is homogeneous. It has been conjectured that when J is smaller than but close to J c, the ground state is periodic and striped, with stripes of constant width h = h(J), and h → ∞ as J → Jc -. (In d = 3 stripes mean slabs, not columns.) Here we rigorously prove that, if we normalize the energy in such a way that the energy of the homogeneous state is zero, then the ratio e 0(J)/e S(J) tends to 1 as J → Jc -, with e S(J) being the energy per site of the optimal periodic striped/slabbed state and e 0(J) the actual ground state energy per site of the system. Our proof comes with explicit bounds on the difference e 0(J)-e S(J) at small but positive J c-J, and also shows that in this parameter range the ground state is striped/slabbed in a certain sense: namely, if one looks at a randomly chosen window, of suitable size ℓ (very large compared to the optimal stripe size h(J)), one finds a striped/slabbed state with high probability. AU - Giuliani, Alessandro AU - Lieb, Élliott AU - Seiringer, Robert ID - 1935 JF - Communications in Mathematical Physics SN - 0010-3616 TI - Formation of stripes and slabs near the ferromagnetic transition VL - 331 ER - TY - JOUR AB - The social intelligence hypothesis states that the need to cope with complexities of social life has driven the evolution of advanced cognitive abilities. It is usually invoked in the context of challenges arising from complex intragroup structures, hierarchies, and alliances. However, a fundamental aspect of group living remains largely unexplored as a driving force in cognitive evolution: the competition between individuals searching for resources (producers) and conspecifics that parasitize their findings (scroungers). In populations of social foragers, abilities that enable scroungers to steal by outsmarting producers, and those allowing producers to prevent theft by outsmarting scroungers, are likely to be beneficial and may fuel a cognitive arms race. Using analytical theory and agent-based simulations, we present a general model for such a race that is driven by the producer-scrounger game and show that the race's plausibility is dramatically affected by the nature of the evolving abilities. If scrounging and scrounging avoidance rely on separate, strategy-specific cognitive abilities, arms races are short-lived and have a limited effect on cognition. However, general cognitive abilities that facilitate both scrounging and scrounging avoidance undergo stable, long-lasting arms races. Thus, ubiquitous foraging interactions may lead to the evolution of general cognitive abilities in social animals, without the requirement of complex intragroup structures. AU - Arbilly, Michal AU - Weissman, Daniel AU - Feldman, Marcus AU - Grodzinski, Uri ID - 1936 IS - 3 JF - Behavioral Ecology TI - An arms race between producers and scroungers can drive the evolution of social cognition VL - 25 ER -