TY - GEN AB - We prove that the Gross-Pitaevskii equation correctly describes the ground state energy and corresponding one-particle density matrix of rotating, dilute, trapped Bose gases with repulsive two-body interactions. We also show that there is 100% Bose-Einstein condensation. While a proof that the GP equation correctly describes non-rotating or slowly rotating gases was known for some time, the rapidly rotating case was unclear because the Bose (i.e., symmetric) ground state is not the lowest eigenstate of the Hamiltonian in this case. We have been able to overcome this difficulty with the aid of coherent states. Our proof also conceptually simplifies the previous proof for the slowly rotating case. In the case of axially symmetric traps, our results show that the appearance of quantized vortices causes spontaneous symmetry breaking in the ground state. AU - Lieb, Élliott H AU - Robert Seiringer ID - 2363 IS - 2 T2 - Communications in Mathematical Physics TI - Derivation of the Gross-Pitaevskii equation for rotating Bose gases VL - 264 ER - TY - JOUR AB - We present an inequality that gives a lower bound on the expectation value of certain two-body interaction potentials in a general state on Fock space in terms of the corresponding expectation value for thermal equilibrium states of non-interacting systems and the difference in the free energy. This bound can be viewed as a rigorous version of first-order perturbation theory for many-body systems at positive temperature. As an application, we give a proof of the first two terms in a high density (and high temperature) expansion of the free energy of jellium with Coulomb interactions, both in the fermionic and bosonic case. For bosons, our method works above the transition temperature (for the non-interacting gas) for Bose-Einstein condensation. AU - Robert Seiringer ID - 2364 IS - 3 JF - Reviews in Mathematical Physics TI - A correlation estimate for quantum many-body systems at positive temperature VL - 18 ER - TY - JOUR AB - We consider a gas of fermions with non-zero spin at temperature T and chemical potential μ. We show that if the range of the interparticle interaction is small compared to the mean particle distance, the thermodynamic pressure differs to leading order from the corresponding expression for non-interacting particles by a term proportional to the scattering length of the interparticle interaction. This is true for any repulsive interaction, including hard cores. The result is uniform in the temperature as long as T is of the same order as the Fermi temperature, or smaller. AU - Robert Seiringer ID - 2365 IS - 3 JF - Communications in Mathematical Physics TI - The thermodynamic pressure of a dilute fermi gas VL - 261 ER - TY - JOUR AB - Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential. AU - Frank, Rupert L AU - Laptev, Ari AU - Lieb, Élliott H AU - Robert Seiringer ID - 2366 IS - 3 JF - Letters in Mathematical Physics TI - Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials VL - 77 ER - TY - CHAP AB - The recent experimental success in creating Bose-Einstein condensates of alkali atoms, honored by the Nobel prize awards in 2001 [1,5], led to renewed interest in the mathematical description of interacting Bose gases. AU - Robert Seiringer ED - Dereziński, Jan ED - Siedentop, Heinz ID - 2368 T2 - Large Coulomb Systems TI - Dilute, trapped Bose gases and Bose-Einstein condensation VL - 695 ER - TY - CHAP AB - One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical trapping potential is varied. In [1] a model of this phenomenon has been analyzed rigorously. The gas is a hard core lattice gas and the optical lattice is modeled by a periodic potential of strength λ. For small λ and temperature Bose- Einstein condensation (BEC) is proved to occur, while at large λ BEC disappears, even in the ground state, which is a Mott-insulator state with a characteristic gap. The inter-particle interaction is essential for this effect. This contribution gives a pedagogical survey of these results. AU - Aizenman, Michael AU - Lieb, Élliott H AU - Robert Seiringer AU - Solovej, Jan P AU - Yngvason, Jakob ED - Asch, Joachim ED - Joye, Alain ID - 2369 T2 - Mathematical Physics of Quantum Mechanics TI - Bose-Einstein condensation as a quantum phase transition in an optical lattice VL - 690 ER - TY - CHAP AU - Bang-Jensen, Jørgen AU - Reed, Bruce AU - Schacht, Bruce AU - Šámal, Robert AU - Toft, Bjarne AU - Uli Wagner ID - 2416 T2 - Topics in Discrete Mathematics TI - On six problems posed by Jarik Nešetřil VL - 26 ER - TY - JOUR AB - We consider an online version of the conflict-free coloring of a set of points on the line, where each newly inserted point must be assigned a color upon insertion, and at all times the coloring has to be conflict-free, in the sense that in every interval I there is a color that appears exactly once in I. We present deterministic and randomized algorithms for achieving this goal, and analyze their performance, that is, the maximum number of colors that they need to use, as a function of the number n of inserted points. We first show that a natural and simple (deterministic) approach may perform rather poorly, requiring Ω(√̃) colors in the worst case. We then derive two efficient variants of this simple algorithm. The first is deterministic and uses O(log 2 n) colors, and the second is randomized and uses O(log n) colors with high probability. We also show that the O(log 2 n) bound on the number of colors used by our deterministic algorithm is tight on the worst case. We also analyze the performance of the simplest proposed algorithm when the points are inserted in a random order and present an incomplete analysis that indicates that, with high probability, it uses only O(log n) colors. Finally, we show that in the extension of this problem to two dimensions, where the relevant ranges are disks, n colors may be required in the worst case. AU - Chent, Ke AU - Fiat, Amos AU - Kaplan, Haim AU - Levy, Meital B AU - Matoušek, Jiří AU - Mossel, Elchanan AU - Pach, János AU - Sharir, Micha AU - Smorodinsky, Shakhar AU - Uli Wagner AU - Welzl, Emo ID - 2430 IS - 5 JF - SIAM Journal on Computing TI - Online conflict-free coloring for intervals VL - 36 ER - TY - CONF AB - We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most t in an arrangement of n halfspaces in R , for arbitrary n and d (in particular, the dimension d is not considered constant). This partially settles a conjecture of Eckhoff, Linhart, and Welzl. Up to the factor of 2, the result generalizes McMullen's Upper Bound Theorem for convex polytopes (the case ℓ = O) and extends a theorem of Linhart for the case d ≤ 4. Moreover, the bound sharpens asymptotic estimates obtained by Clarkson and Shor. The proof is based on the h-matrix of the arrangement (a generalization, introduced by Mulmuley, of the h-vector of a convex polytope). We show that bounding appropriate sums of entries of this matrix reduces to a lemma about quadrupels of sets with certain intersection properties, and we prove this lemma, up to a factor of 2, using tools from multilinear algebra. This extends an approach of Alon and Kalai, who used linear algebra methods for an alternative proof of the classical Upper Bound Theorem. The bounds for the entries of the h-matrix also imply bounds for the number of i-dimensional faces, i > 0, at level at most ℓ. Furthermore, we discuss a connection with crossing numbers of graphs that was one of the main motivations for investigating exact bounds that are valid for arbitrary dimensions. AU - Uli Wagner ID - 2431 TI - On a geometric generalization of the Upper Bound Theorem ER - TY - JOUR AB - We show, with an elementary proof, that the number of halving simplices in a set of n points in 4 in general position is O(n4-2/45). This improves the previous bound of O(n4-1/134). Our main new ingredient is a bound on the maximum number of halving simplices intersecting a fixed 2-plane. AU - Matoušek, Jiří AU - Sharir, Micha AU - Smorodinsky, Shakhar AU - Uli Wagner ID - 2429 IS - 2 JF - Discrete & Computational Geometry TI - K-sets in four dimensions VL - 35 ER - TY - JOUR AB - Transmembrane AMPA receptor regulatory proteins (TARPs), including stargazin/γ-2, are associated with AMPA receptors and participate in their surface delivery and anchoring at the postsynaptic membrane. TARPs may also act as a positive modulator of the AMPA receptor ion channel function; however, little is known about other TARP members except for stargazin/γ-2. We examined the synaptic localization of stargazin/γ-2 and γ-8 by immunoelectron microscopy and biochemical analysis. The analysis of sodium dodecyl sulfate-digested freeze-fracture replica labeling revealed that stargazin/γ-2 was concentrated in the postsynaptic area, whereas γ-8 was distributed both in synaptic and extra-synaptic plasma membranes of the hippocampal neuron. When a synaptic plasma membrane-enriched brain fraction was treated with Triton X-100 and separated by sucrose density gradient ultracentrifugation, a large proportion of NMDA receptor and stargazin/γ-2 was accumulated in raft-enriched fractions, whereas AMPA receptor and γ-8 were distributed in both the raft-enriched fractions and other Triton-insoluble fractions. Phosphorylation of stargazin/γ-2 and γ-8 was regulated by different sets of kinases and phosphatases in cultured cortical neurons. These results suggested that stargazin/γ-2 and γ-8 have distinct roles in postsynaptic membranes under the regulation of different intracellular signaling pathways. AU - Inamura, Mihoko AU - Itakura, Makoto AU - Okamoto, Hirotsugu AU - Hoka, Sumio AU - Mizoguchi, Akira AU - Fukazawa, Yugo AU - Ryuichi Shigemoto AU - Yamamori, Saori AU - Takahashi, Masami ID - 2659 IS - 1 JF - Neuroscience Research TI - Differential localization and regulation of stargazin-like protein, γ-8 and stargazin in the plasma membrane of hippocampal and cortical neurons VL - 55 ER - TY - JOUR AB - The highest densities of the two metabotropic GABA subunits, GABA B1 and GABAB2, have been reported as occurring around the glutamatergic synapses between Purkinje cell spines and parallel fibre varicosities. In order to determine how this distribution is achieved during development, we investigated the expression pattern and the cellular and subcellular localization of the GABAB1 and GABAB2 subunits in the rat cerebellum during postnatal development. At the light microscopic level, immunoreactivity for the GABAB1 and GABAB2 subunits was very prominent in the developing molecular layer, especially in Purkinje cells. Using double immunofluorescence, we demonstrated that GABAB1 was transiently expressed in glial cells. At the electron microscopic level, immunoreactivity for GABAB receptors was always detected both pre- and postsynaptically. Presynaptically, GABAB1 and GABAB2 were localized in the extrasynaptic membrane of parallel fibres at all ages, and only rarely in GABAergic axons. Postsynaptically, GABAB receptors were localized to the extrasynaptic and perisynaptic plasma membrane of Purkinje cell dendrites and spines throughout development. Quantitative analysis and three-dimensional reconstructions further revealed a progressive developmental movement of the GABAB1 subunit on the surface of Purkinje cells from dendritic shafts to its final destination, the dendritic spines. Together, these results indicate that GABAB receptors undergo dynamic regulation during cerebellar development in association with the establishment and maturation of glutamatergic synapses to Purkinje cells. AU - Luján, Rafael AU - Ryuichi Shigemoto ID - 2657 IS - 6 JF - European Journal of Neuroscience TI - Localization of metabotropic GABA receptor subunits GABAB1 and GABAB2 relative to synaptic sites in the rat developing cerebellum VL - 23 ER - TY - JOUR AB - The rocker mice are hereditary ataxic mutants that carry a point mutation in the gene encoding the CaV2.1 (P/Q-type) Ca2+ channel α1 subunit, and show the mildest symptoms among the reported CaV2.1 mutant mice. We studied the basic characteristics of the rocker mutant Ca2+ channel and their impacts on excitatory synaptic transmission in cerebellar Purkinje cells (PCs). In acutely dissociated PC somas, the rocker mutant channel showed a moderate reduction in Ca2+ channel current density, whereas its kinetics and voltage dependency of gating remained nearly normal. Despite the small changes in channel function, synaptic transmission in the parallel fiber (PF)-PC synapses was severely impaired. The climbing fiber inputs onto PCs showed a moderate impairment but could elicit normal complex spikes. Presynaptic function of the PF-PC synapses, however, was unexpectedly almost normal in terms of paired-pulse facilitation, sensitivity to extracellular Ca2+ concentration and glutamate concentration in synaptic clefts. Electron microscopic analyses including freeze-fracture replica labeling revealed that both the number and density of postsynaptic α-amino-3-hydroxy-5-methyl-4-isoxazolepropionic acid (AMPA) receptors substantially decreased without gross structural changes of the PF-PC synapses. We also observed an abnormal arborization of PC dendrites in young adult rocker mice (∼ 1 month old). These lines of evidence suggest that even a moderate dysfunction of CaV2.1 Ca2+ channel can cause substantial changes in postsynaptic molecular composition of the PF-PC synapses and dendritic structure of PCs. AU - Kodama, Takashi AU - Itsukaichi-Nishida, Yuko AU - Fukazawa, Yugo AU - Wakamori, Minoru AU - Miyata, Mariko AU - Molnár, Elek AU - Mori, Yasuo AU - Ryuichi Shigemoto AU - Imoto, Keiji ID - 2663 IS - 11 JF - European Journal of Neuroscience TI - A CaV2.1 calcium channel mutation rocker reduces the number of postsynaptic AMPA receptors in parallel fiber-Purkinje cell synapses VL - 24 ER - TY - JOUR AB - GABAB receptors are the G protein-coupled receptors for the main inhibitory neurotransmitter in the brain, γ-aminobutyric acid (GABA). Molecular diversity in the GABAB system arises from the GABAB1a and GABAB1b subunit isoforms that solely differ in their ectodomains by a pair of sushi repeats that is unique to GABAB1a. Using a combined genetic, physiological, and morphological approach, we now demonstrate that GABAB1 isoforms localize to distinct synaptic sites and convey separate functions in vivo. At hippocampal CA3-to-CA1 synapses, GABAB1a assembles heteroreceptors inhibiting glutamate release, while predominantly GABAB1b mediates postsynaptic inhibition. Electron microscopy reveals a synaptic distribution of GABAB1 isoforms that agrees with the observed functional differences. Transfected CA3 neurons selectively express GABAB1a in distal axons, suggesting that the sushi repeats, a conserved protein interaction motif, specify heteroreceptor localization. The constitutive absence of GABAB1a but not GABAB1b results in impaired synaptic plasticity and hippocampus-dependent memory, emphasizing molecular differences in synaptic GABAB functions. AU - Vigot, Réjan AU - Barbieri, Samuel AU - Bräuner-Osborne, Hans AU - Tureček, Rostislav AU - Ryuichi Shigemoto AU - Zhang, Yan Ping AU - Luján, Rafael AU - Jacobson, Laura H AU - Biermann, Barbara AU - Fritschy, Jean-Marc AU - Vacher, Claire-Marie AU - Müller, Matthias P AU - Sansig, Gilles AU - Guetg, Nicole AU - Cryan, John F AU - Kaupmann, Klemens AU - Gassmann, Martin AU - Oertner, Thomas G AU - Bettler, Bernhard ID - 2661 IS - 4 JF - Neuron TI - Differential Compartmentalization and Distinct Functions of GABAB Receptor Variants VL - 50 ER - TY - JOUR AB - G-protein-coupled inwardly rectifying K+ channels (Kir3 channels) coupled to metabotropic GABAB receptors are essential for the control of neuronal excitation. To determine the distribution of Kir3 channels and their spatial relationship to GABAB receptors on hippocampal pyramidal cells, we used a high-resolution immunocytochemical approach. Immunoreactivity for the Kir3.2 subunit was most abundant postsynaptically and localized to the extrasynaptic plasma membrane of dendritic shafts and spines of principal cells. Quantitative analysis of immunogold particles for Kir3.2 revealed an enrichment of the protein around putative glutamatergic synapses on dendritic spines, similar to that of GABA B1. Consistent with this observation, a high degree of coclustering of Kir3.2 and GABAB1 was revealed around excitatory synapses by the highly sensitive SDS-digested freeze-fracture replica immunolabeling. In contrast, in dendritic shafts receptors and channels were found to be mainly segregated. These results suggest that Kir3.2-containing K+ channels on dendritic spines preferentially mediate the effect of GABA, whereas channels on dendritic shafts are likely to be activated by other neurotransmitters as well. Thus, Kir3 channels, localized to different subcellular compartments of hippocampal principal cells, appear to be differentially involved in synaptic integration in pyramidal cell dendrites. AU - Kulik, Ákos AU - Vida, Imre AU - Fukazawa, Yugo AU - Guetg, Nicole AU - Kasugai, Yu AU - Marker, Cheryl L AU - Rigato, Franck AU - Bettler, Bernhard AU - Wickman, Kevin D AU - Frotscher, Michael AU - Ryuichi Shigemoto ID - 2662 IS - 16 JF - Journal of Neuroscience TI - Compartment-dependent colocalization of Kir3.2-containing K+ channels and GABAB receptors in hippocampal pyramidal cells VL - 26 ER - TY - JOUR AB - Pavlovian fear conditioning, a simple form of associative learning, is thought to involve the induction of associative, NMDA receptor-dependent long-term potentiation (LTP) in the lateral amygdala. Using a combined genetic and electrophysiological approach, we show here that lack of a specific GABAB receptor subtype, GABAB(1a,2), unmasks a nonassociative, NMDA receptor-independent form of presynaptic LTP at cortico-amygdala afferents. Moreover, the level of presynaptic GABA B(1a,2) receptor activation, and hence the balance between associative and nonassociative forms of LTP, can be dynamically modulated by local inhibitory activity. At the behavioral level, genetic loss of GABA B(1a) results in a generalization of conditioned fear to nonconditioned stimuli. Our findings indicate that presynaptic inhibition through GABAB(1a,2) receptors serves as an activity-dependent constraint on the induction of homosynaptic plasticity, which may be important to prevent the generalization of conditioned fear. AU - Shaban, Hamdy AU - Humeau, Yann AU - Herry, Cyril AU - Cassasus, Guillaume AU - Ryuichi Shigemoto AU - Ciocchi, Stéphane AU - Barbieri, Samuel AU - Van Der Putten, Herman V AU - Kaupmann, Klemens AU - Bettler, Bernhard AU - Lüthi, Andreas ID - 2660 IS - 8 JF - Nature Neuroscience TI - Generalization of amygdala LTP and conditioned fear in the absence of presynaptic inhibition VL - 9 ER - TY - GEN AB - Metabotropic glutamate receptors (mGlus) are a family of G-protein-coupled receptors activated by the neurotransmitter glutamate. Molecular cloning has revealed eight different subtypes (mGlu1-8) with distinct molecular and pharmacological properties. Multiplicity in this receptor family is further generated through alternative splicing. mGlus activate a multitude of signalling pathways important for modulating neuronal excitability, synaptic plasticity and feedback regulation of neurotransmitter release. In this review, we summarize anatomical findings (from our work and that of other laboratories) describing their distribution in the central nervous system. Recent evidence regarding the localization of these receptors in peripheral tissues will also be examined. The distinct regional, cellular and subcellular distribution of mGlus in the brain will be discussed in view of their relationship to neurotransmitter release sites and of possible functional implications. AU - Ferraguti, Francesco AU - Ryuichi Shigemoto ID - 2664 IS - 2 T2 - Cell and Tissue Research TI - Metabotropic glutamate receptors VL - 326 ER - TY - JOUR AB - Consider a system of N bosons on the three-dimensional unit torus interacting via a pair potential N 2V(N(x i - x j)) where x = (x i, . . ., x N) denotes the positions of the particles. Suppose that the initial data ψ N,0 satisfies the condition 〈ψ N,0, H 2 Nψ N,0) ≤ C N 2 where H N is the Hamiltonian of the Bose system. This condition is satisfied if ψ N,0 = W Nφ N,t where W N is an approximate ground state to H N and φ N,0 is regular. Let ψ N,t denote the solution to the Schrödinger equation with Hamiltonian H N. Gross and Pitaevskii proposed to model the dynamics of such a system by a nonlinear Schrödinger equation, the Gross-Pitaevskii (GP) equation. The GP hierarchy is an infinite BBGKY hierarchy of equations so that if u t solves the GP equation, then the family of k-particle density matrices ⊗ k |u t?〉 〈 t | solves the GP hierarchy. We prove that as N → ∞ the limit points of the k-particle density matrices of ψ N,t are solutions of the GP hierarchy. Our analysis requires that the N-boson dynamics be described by a modified Hamiltonian that cuts off the pair interactions whenever at least three particles come into a region with diameter much smaller than the typical interparticle distance. Our proof can be extended to a modified Hamiltonian that only forbids at least n particles from coming close together for any fixed n. AU - László Erdös AU - Schlein, Benjamin AU - Yau, Horng-Tzer ID - 2747 IS - 12 JF - Communications on Pure and Applied Mathematics TI - Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate VL - 59 ER - TY - JOUR AB - We consider the dynamics of N boson systems interacting through a pair potential N -1 V a (x i -x j ) where V a (x)=a -3 V(x/a). We denote the solution to the N-particle Schrödinger equation by Ψ N, t . Recall that the Gross-Pitaevskii (GP) equation is a nonlinear Schrödinger equation and the GP hierarchy is an infinite BBGKY hierarchy of equations so that if u t solves the GP equation, then the family of k-particle density matrices [InlineMediaObject not available: see fulltext.] solves the GP hierarchy. Under the assumption that a = Nε for 0 < ε < 3/5, we prove that as N→∞ the limit points of the k-particle density matrices of Ψ N, t are solutions of the GP hierarchy with the coupling constant in the nonlinear term of the GP equation given by ∫ V (x)dx. The uniqueness of the solutions of this hierarchy remains an open question. AU - Elgart, Alexander AU - László Erdös AU - Schlein, Benjamin AU - Yau, Horng-Tzer ID - 2745 IS - 2 JF - Archive for Rational Mechanics and Analysis TI - Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons VL - 179 ER - TY - CONF AB - We consider random Schrödinger equations on Rd or Zd for d ≥ 3 with uncorrelated, identically distributed random potential. Denote by λ the coupling constant and ψt the solution with initial data ψ0. AU - László Erdös AU - Salmhofer, Manfred AU - Yau, Horng-Tzer ID - 2746 TI - Towards the quantum Brownian motion VL - 690 ER - TY - JOUR AB - Generally, the motion of fluids is smooth and laminar at low speeds but becomes highly disordered and turbulent as the velocity increases. The transition from laminar to turbulent flow can involve a sequence of instabilities in which the system realizes progressively more complicated states, or it can occur suddenly. Once the transition has taken place, it is generally assumed that, under steady conditions, the turbulent state will persist indefinitely. The flow of a fluid down a straight pipe provides a ubiquitous example of a shear flow undergoing a sudden transition from laminar to turbulent motion. Extensive calculations and experimental studies have shown that, at relatively low flow rates, turbulence in pipes is transient, and is characterized by an exponential distribution of lifetimes. They also suggest that for Reynolds numbers exceeding a critical value the lifetime diverges (that is, becomes infinitely large), marking a change from transient to persistent turbulence. Here we present experimental data and numerical calculations covering more than two decades of lifetimes, showing that the lifetime does not in fact diverge but rather increases exponentially with the Reynolds number. This implies that turbulence in pipes is only a transient event (contrary to the commonly accepted view), and that the turbulent and laminar states remain dynamically connected, suggesting avenues for turbulence control. AU - Björn Hof AU - Westerweel, Jerry AU - Schneider, Tobias M AU - Eckhardt, Bruno ID - 2791 IS - 7107 JF - Nature TI - Finite lifetime of turbulence in shear flows VL - 443 ER - TY - JOUR AB - Transition to turbulence in pipe flow has posed a riddle in fluid dynamics since the pioneering experiments of Reynolds[1]. Although the laminar flow is linearly stable for all flow rates, practical pipe flows become turbulent at large enough flow speeds. Turbulence arises suddenly and fully without distinct steps and without a clear critical point. The complexity of this problem has puzzled mathematicians, physicists and engineers for more than a century and no satisfactory explanation of this problem has been given. In a very recent theoretical approach it has been suggested that unstable solutions of the Navier Stokes equations may hold the key to understanding this problem. In numerical studies such unstable states have been identified as exact solutions for the idealized case of a pipe with periodic boundary conditions[2, 3]. These solutions have the form of waves extending through the entire pipe and travelling in the streamwise direction at a phase speed close to the bulk velocity of the fluid. With the aid of a recently developed high-speed stereoscopic Particle Image Velocimetry (PIV) system, we were able to observe transients of such unstable solutions in turbulent pipe flow[4]. AU - Björn Hof AU - van Doorne, Casimir W AU - Westerweel, Jerry AU - Nieuwstadt, Frans T ID - 2792 JF - Fluid Mechanics and its Applications TI - Observation of nonlinear travelling waves in turbulent pipe flow VL - 78 ER - TY - JOUR AB - IL-10 is a potent anti-inflammatory and immunomodulatory cytokine, exerting major effects in the degree and quality of the immune response. Using a newly generated IL-10 reporter mouse model, which easily allows the study of IL-10 expression from each allele in a single cell, we report here for the first time that IL-10 is predominantly monoallelic expressed in CD4+ T cells. Furthermore, we have compelling evidence that this expression pattern is not due to parental imprinting, allelic exclusion, or strong allelic bias. Instead, our results support a stochastic regulation mechanism, in which the probability to initiate allelic transcription depends on the strength of TCR signaling and subsequent capacity to overcome restrictions imposed by chromatin hypoacetylation. In vivo Ag-experienced T cells show a higher basal probability to transcribe IL-10 when compared with naive cells, yet still show mostly monoallelic IL-10 expression. Finally, statistical analysis on allelic expression data shows transcriptional independence between both alleles. We conclude that CD4+ T cells have a low probability for IL-10 allelic activation resulting in a predominantly monoallelic expression pattern, and that IL-10 expression appears to be stochastically regulated by controlling the frequency of expressing cells, rather than absolute protein levels per cell. AU - Calado, Dinis P AU - Tiago Paixao AU - Holmberg, Dan AU - Haury, Matthias ID - 2894 IS - 8 JF - Journal of Immunology TI - Stochastic Monoallelic Expression of IL 10 in T Cells VL - 177 ER - TY - CHAP AB - Most binocular stereo algorithms assume that all scene elements are visible from both cameras. Scene elements that are visible from only one camera, known as occlusions, pose an important challenge for stereo. Occlusions are important for segmentation, because they appear near discontinuities. However, stereo algorithms tend to ignore occlusions because of their difficulty. One reason is that occlusions require the input images to be treated symmetrically, which complicates the problem formulation. Worse, certain depth maps imply physically impossible scene configurations, and must be excluded from the output. In this chapter we approach the problem of binocular stereo with occlusions from an energy minimization viewpoint. We begin by reviewing traditional stereo methods that do not handle occlusions. If occlusions are ignored, it is easy to formulate the stereo problem as a pixel labeling problem, which leads to an energy function that is common in early vision. This kind of energy function can he minimized using graph cuts, which is a combinatorial optimization technique that has proven to be very effective for low-level vision problems. Motivated by this, we have designed two graph cut stereo algorithms that are designed to handle occlusions. These algorithms produce promising experimental results on real data with ground truth. AU - Vladimir Kolmogorov AU - Zabih, Ramin ID - 2921 T2 - Handbook of Mathematical Models in Computer Vision TI - Graph cut algorithms for binocular stereo with occlusions ER - TY - CHAP AB - Arabidopsis thaliana is currently the most important model organism for basic molecular plant research. It is also a favourable model for developmental biology, as its embryogenesis follows a nearly invariant pattern of cell divisions and cell type specifications. Study of embryogenesis can involve genetic, physiological or biochemical approaches, but is always limited by the inaccessibility of the embryos which develop deep inside maternal tissue. Thus, for developmental studies, there is an increasing demand for methods which allow embryogenesis under artificial conditions, providing better accessibility to experimental manipulation. In this chapter, we address theoretical aspects of embryo culture, give some thoughts on which embryo culture system is suited best for which application and finally discuss three current methods which have been successfully used in Arabidopsis embryo culture. © 2006 Springer-Verlag Berlin Heidelberg. AU - Sauer, Michael AU - Jirí Friml ED - Mujib, Abdul ED - Šamaj, Jozef ID - 3002 T2 - Somatic Embryogenesis TI - In vitro culture of Arabidopsis embryos VL - 2 ER - TY - JOUR AB - Intercellular flow of the phytohormone auxin underpins multiple developmental processes in plants. Plant-specific pin-formed (PIN) proteins and several phosphoglycoprotein (PGP) transporters are crucial factors in auxin transport-related development, yet the molecular function of PINs remains unknown. Here, we show that PINs mediate auxin efflux from mammalian and yeast cells without needing additional plant-specific factors. Conditional gain-of-function alleles and quantitative measurements of auxin accumulation in Arabidopsis and tobacco cultured cells revealed that the action of PINs in auxin efflux is distinct from PGP, rate-limiting, specific to auxins, and sensitive to auxin transport inhibitors. This suggests a direct involvement of PINs in catalyzing cellular auxin efflux. AU - Petrášek, Jan AU - Mravec, Jozef AU - Bouchard, Rodolphe AU - Blakeslee, Joshua AU - Melinda Abas AU - Seifertová, Daniela AU - Wiśniewska, Justyna AU - Tadele, Zerihun AU - Kubeš, Martin AU - Čovanová, Milada AU - Dhonukshe, Pankaj AU - Skůpa, Petr AU - Eva Benková AU - Perry, Lucie AU - Křeček, Pavel AU - Lee, Ok Ran AU - Fink, Gerald R AU - Geisler, Markus AU - Murphy, Angus S AU - Luschnig, Christian AU - Zažímalová, Eva AU - Jirí Friml ID - 3012 IS - 5775 JF - Science TI - PIN proteins perform a rate-limiting function in cellular auxin efflux VL - 312 ER - TY - JOUR AB - The formation of the leaf vascular pattern has fascinated biologists for centuries. In the early leaf primordium, complex networks of procambial cells emerge from homogeneous subepidermal tissue. The molecular nature of the underlying positional information is unknown, but various lines of evidence implicate gradually restricted transport routes of the plant hormone auxin in defining sites of procambium formation. Here we show that a crucial member of the AtPIN family of auxin-efflux-associated proteins, AtPIN1, is expressed prior to pre-procambial and procambial cell fate markers in domains that become restricted toward sites of procambium formation. Subcellular AtPIN1 polarity indicates that auxin is directed to distinct "convergence points" in the epidermis, from where it defines the positions of major veins. Integrated polarities in all emerging veins indicate auxin drainage toward pre-existing veins, but veins display divergent polarities as they become connected at both ends. Auxin application and transport inhibition reveal that convergence point positioning and AtPIN1 expression domain dynamics are self-organizing, auxin-transport-dependent processes. We derive a model for self-regulated, reiterative patterning of all vein orders and postulate at its onset a common epidermal auxin-focusing mechanism for major-vein positioning and phyllotactic patterning. AU - Scarpella, Enrico AU - Marcos, Danielle AU - Jirí Friml AU - Berleth, Thomas ID - 3010 IS - 8 JF - Genes and Development TI - Control of leaf vascular patterning by polar auxin transport VL - 20 ER - TY - JOUR AB - Root gravitropism describes the orientation of root growth along the gravity vector and is mediated by differential cell elongation in the root meristem. This response requires the coordinated, asymmetric distribution of the phytohormone auxin within the root meristem, and depends on the concerted activities of PIN proteins and AUX1 - members of the auxin transport pathway. Here, we show that intracellular trafficking and proteasome activity combine to control PIN2 degradation during root gravitropism. Following gravi-stimulation, proteasome-dependent variations in PIN2 localization and degradation at the upper and lower sides of the root result in asymmetric distribution of PIN2. Ubiquitination of PIN2 occurs in a proteasome-dependent manner, indicating that the proteasome is involved in the control of PIN2 turnover. Stabilization of PIN2 affects its abundance and distribution, and leads to defects in auxin distribution and gravitropic responses. We describe the effects of auxin on PIN2 localization and protein levels, indicating that redistribution of auxin during the gravitropic response may be involved in the regulation of PIN2 protein. AU - Abas, Lindy AU - Benjamins, René AU - Malenica, Nenad AU - Paciorek, Tomasz AU - Wiśniewska, Justyna AU - Moulinier-Anzola, Jeanette C AU - Sieberer, Tobias AU - Jirí Friml AU - Luschnig, Christian ID - 3007 IS - 3 JF - Nature Cell Biology TI - Intracellular trafficking and proteolysis of the Arabidopsis auxin-efflux facilitator PIN2 are involved in root gravitropism VL - 8 ER - TY - JOUR AB - Dividing plant cells perform a remarkable task of building a new cell wall within the cytoplasm in a few minutes. A long-standing paradigm claims that this primordial cell wall, known as the cell plate, is generated by delivery of newly synthesized material from Golgi apparatus-originated secretory vesicles. Here, we show that, in diverse plant species, cell surface material, including plasma membrane proteins, cell wall components, and exogenously applied endocytic tracers, is rapidly delivered to the forming cell plate. Importantly, this occurs even when de novo protein synthesis is blocked. In addition, cytokinesis-specific syntaxin KNOLLE as well as plasma membrane (PM) resident proteins localize to endosomes that fuse to initiate the cell plate. The rate of endocytosis is strongly enhanced during cell plate formation, and its genetic or pharmacological inhibition leads to cytokinesis defects. Our results reveal that endocytic delivery of cell surface material significantly contributes to cell plate formation during plant cytokinesis. AU - Dhonukshe, Pankaj AU - Baluška, František AU - Schlicht, Markus AU - Hlavacka, Andrej AU - Šamaj, Jozef AU - Jirí Friml AU - Gadella, Theodorus W ID - 3006 IS - 1 JF - Developmental Cell TI - Endocytosis of cell surface material mediates cell plate formation during plant cytokinesis VL - 10 ER - TY - JOUR AB - Polar flow of the phytohormone auxin requires plasma membrane‐associated PIN proteins and underlies multiple developmental processes in plants. Here we address the importance of the polarity of subcellular PIN localization for the directionality of auxin transport in Arabidopsis thaliana. Expression of different PINs in the root epidermis revealed the importance of PIN polar positions for directional auxin flow and root gravitropic growth. Interfering with sequence-embedded polarity signals directly demonstrates that PIN polarity is a primary factor in determining the direction of auxin flow in meristematic tissues. This finding provides a crucial piece in the puzzle of how auxin flow can be redirected via rapid changes in PIN polarity. AU - Wiśniewska, Justyna AU - Xu, Jian AU - Seifertová, Daniela AU - Brewer, Philip B AU - Růžička, Kamil AU - Blilou, Ikram AU - Rouquié, David AU - Eva Benková AU - Scheres, Ben AU - Jirí Friml ID - 3011 IS - 5775 JF - Science TI - Polar PIN localization directs auxin flow in plants VL - 312 ER - TY - JOUR AU - Friml, Jirí AU - Benfey, Philip AU - Benková, Eva AU - Bennett, Malcolm AU - Berleth, Thomas AU - Geldner, Niko AU - Grebe, Markus AU - Heisler, Marcus AU - Hejátko, Jan AU - Jürgens, Gerd AU - Laux, Thomas AU - Lindsey, Keith AU - Lukowitz, Wolfgang AU - Luschnig, Christian AU - Offringa, Remko AU - Scheres, Ben AU - Swarup, Ranjan AU - Torres Ruiz, Ramón AU - Weijers, Dolf AU - Zažímalová, Eva ID - 3005 IS - 1 JF - Trends in Plant Science TI - Apical-basal polarity: Why plant cells don't stand on their heads VL - 11 ER - TY - JOUR AB - Plants and some animals have a profound capacity to regenerate organs from adult tissues. Molecular mechanisms for regeneration have, however, been largely unexplored. Here we investigate a local regeneration response in Arabidopsis roots. Laser-induced wounding disrupts the flow of auxin-a cell-fate-instructive plant hormone-in root tips, and we demonstrate that resulting cell-fate changes require the PLETHORA, SHORTROOT, and SCARECROW transcription factors. These transcription factors regulate the expression and polar position of PIN auxin efflux-facilitating membrane proteins to reconstitute auxin transport in renewed root tips. Thus, a regeneration mechanism using embryonic root stem-cell patterning factors first responds to and subsequently stabilizes a new hormone distribution. AU - Xu, Jian AU - Hofhuis, Hugo AU - Heidstra, Renze AU - Sauer, Michael AU - Jirí Friml AU - Scheres, Ben ID - 3008 IS - 5759 JF - Science TI - A molecular framework for plant regeneration VL - 311 ER - TY - JOUR AU - Paciorek, Tomasz AU - Friml, Jirí ID - 3009 IS - 7 JF - Journal of Cell Science TI - Auxin signaling VL - 119 ER - TY - JOUR AB - Plant development is characterized by a profound ability to regenerate and form tissues with new axes of polarity. An unsolved question concerns how the position within a tissue and cues from neighboring cells are integrated to specify the polarity of individual cells. The canalization hypothesis proposes a feedback effect of the phytohormone auxin on the directionality of intercellular auxin flow as a means to polarize tissues. Here we identify a cellular and molecular mechanism for canalization. Local auxin application, wounding, or auxin accumulation during de novo organ formation lead to rearrangements in the subcellular polar localization of PIN auxin transport components. This auxin effect on PIN polarity is cell-specific, does not depend on PIN transcription, and involves the Aux/IAA-ARF (indole-3-acetic acid-auxin response factor) signaling pathway. Our data suggest that auxin acts as polarizing cue, which links individual cell polarity with tissue and organ polarity through control of PIN polar targeting. This feedback regulation provides a conceptual framework for polarization during multiple regenerative and patterning processes in plants. AU - Sauer, Michael AU - Balla, Jozef AU - Luschnig, Christian AU - Wiśniewska, Justyna AU - Reinöhl, Vilém AU - Friml, Jirí AU - Benková, Eva ID - 3016 IS - 20 JF - Genes and Development TI - Canalization of auxin flow by Aux/IAA-ARF-dependent feedback regulation of PIN polarity VL - 20 ER - TY - JOUR AB - The plant hormone auxin plays crucial roles in regulating plant growth development, including embryo and root patterning, organ formation, vascular tissue differentiation and growth responses to environmental stimuli. Asymmetric auxin distribution patterns have been observed within tissues, and these so-called auxin gradients change dynamically during different developmental processes. Most auxin is synthesized in the shoot and distributed directionally throughout the plant. This polar auxin transport is mediated by auxin influx and efflux facilitators, whose subcellular polar localizations guide the direction of auxin flow. The polar localization of PIN auxin efflux carriers changes in response to developmental and external cues in order to channel auxin flow in a regulated manner for organized growth. Auxin itself modulates the expression and subcellular localization of PIN proteins, contributing to a complex pattern of feedback regulation. Here we review the available information mainly from studies of a model plant, Arabidopsis thaliana, on the generation of auxin gradients, the regulation of polar auxin transport and further downstream cellular events. AU - Tanaka, Hirokazu AU - Dhonukshe, Pankaj AU - Brewer, Philip AU - Friml, Jirí ID - 3017 IS - 23 JF - Cellular and Molecular Life Sciences TI - Spatiotemporal asymmetric auxin distribution: A means to coordinate plant development VL - 63 ER - TY - JOUR AB - The directional flow of the plant hormone auxin mediates multiple developmental processes, including patterning and tropisms. Apical and basal plasma membrane localization of AUXIN-RESISTANT1 (AUX1) and PIN-FORMED1 (PIN1) auxin transport components underpins the directionality of intercellular auxin flow in Arabidopsis thaliana roots. Here, we examined the mechanism of polar trafficking of AUX1. Real-time live cell analysis along with subcellular markers revealed that AUX1 resides at the apical plasma membrane of protophloem cells and at highly dynamic subpopulations of Golgi apparatus and endosomes in all cell types. Plasma membrane and intracellular pools of AUX1 are interconnected by actin-dependent constitutive trafficking, which is not sensitive to the vesicle trafficking inhibitor brefeldin A. AUX1 subcellular dynamics are not influenced by the auxin influx inhibitor NOA but are blocked by the auxin efflux inhibitors TIBA and PBA. Furthermore, auxin transport inhibitors and interference with the sterol composition of membranes disrupt polar AUX1 distribution at the plasma membrane. Compared with PIN1 trafficking, AUX1 dynamics display different sensitivities to trafficking inhibitors and are independent of the endosomal trafficking regulator ARF GEF GNOM. Hence, AUX1 uses a novel trafficking pathway in plants that is distinct from PIN trafficking, providing an additional mechanism for the fine regulation of auxin transport. AU - Kleine-Vehn, Jürgen AU - Dhonukshe, Pankaj AU - Swarup, Ranjan AU - Bennett, Malcolm AU - Jirí Friml ID - 3018 IS - 11 JF - Plant Cell TI - Subcellular trafficking of the Arabidopsis auxin influx carrier AUX1 uses a novel pathway distinct from PIN1 VL - 18 ER - TY - JOUR AB - High throughput microarray transcription analyses provide us with the expression profiles for large amounts of plant genes. However, their tissue and cellular resolution is limited. Thus, for detailed functional analysis, it is still necessary to examine the expression pattern of selected candidate genes at a cellular level. Here, we present an in situ mRNA hybridization method that is routinely used for the analysis of plant gene expression patterns. The protocol is optimized for whole mount mRNA localizations in Arabidopsis seedling tissues including embryos, roots, hypocotyls and young primary leaves. It can also be used for comparable tissues in other species. Part of the protocol can also be automated and performed by a liquid handling robot. Here we present a detailed protocol, recommended controls and troubleshooting, along with examples of several applications. The total time to carry out the entire procedure is ∼7 d, depending on the tissue used. AU - Hejátko, Jan AU - Blilou, Ikram AU - Brewer, Philip B AU - Jirí Friml AU - Scheres, Ben AU - Eva Benková ID - 3020 IS - 4 JF - Nature Protocols TI - In situ hybridization technique for mRNA detection in whole mount Arabidopsis samples VL - 1 ER - TY - JOUR AB - As the field of plant molecular biology is swiftly advancing, a need has been created for methods that allow rapid and reliable in situ localization of proteins in plant cells. Here we describe a whole-mount 'immunolocalization' technique for various plant tissues, including roots, hypocotyls, cotyledons, young primary leaves and embryos of Arabidopsis thaliana and other species. The detailed protocol, recommended controls and troubleshooting are presented, along with examples of applications. The protocol consists of five main procedures: tissue fixation, tissue permeation, blocking, primary and secondary antibody incubation. Notably, the first procedure (tissue fixation) includes several steps (4-12) that are absolutely necessary for protein localization in hypocotyls, cotyledons and young primary leaves but should be omitted for other tissues. The protocol is usually done in 3 days, but could also be completed in 2 days. AU - Sauer, Michael AU - Paciorek, Tomasz AU - Eva Benková AU - Jirí Friml ID - 3015 IS - 1 JF - Nature Protocols TI - Immunocytochemical techniques for whole mount in situ protein localization in plants VL - 1 ER - TY - JOUR AB - There is a growing demand for methods that allow rapid and reliable in situ localization of proteins in plant cells. The immunocytochemistry protocol presented here can be used routinely to observe protein localization patterns in tissue sections of various plant species. This protocol is especially suitable for plant species with more-complex tissue architecture (such as maize, Zea mays), which makes it difficult to use an easier whole-mount procedure for protein localization. To facilitate the antibody-antigen reaction, it is necessary to include a wax-embedding and tissue-sectioning step. The protocol consists of the following procedures: chemical fixation of tissue, dehydration, wax embedding, sectioning, dewaxing, rehydration, blocking and antibody incubation. The detailed protocol, recommended controls and troubleshooting are presented here, along with examples of applications. AU - Paciorek, Tomasz AU - Sauer, Michael AU - Balla, Jozef AU - Wiśniewska, Justyna AU - Jirí Friml ID - 3013 IS - 1 JF - Nature Protocols TI - Immunocytochemical technique for protein localization in sections of plant tissues VL - 1 ER - TY - JOUR AB - Plant biology is currently confronted with an overflow of expression profile data provided by high-throughput microarray transcription analyses. However, the tissue and cellular resolution of these techniques is limited. Thus, it is still necessary to examine the expression pattern of selected candidate genes at a cellular level. Here we present an in situ mRNA hybridization method that is routinely used in the analysis of gene expression patterns. The protocol is optimized for mRNA localizations in sectioned tissue of Arabidopsis seedlings including embryos, roots, hypocotyls, young primary leaves and flowers. The detailed protocol, recommended controls and troubleshooting are presented along with examples of application. The total time for the process is 10 days. AU - Brewer, Philip B AU - Heisler, Marcus G AU - Hejátko, Jan AU - Jirí Friml AU - Eva Benková ID - 3014 IS - 3 JF - Nature Protocols TI - In situ hybridization for mRNA detection in Arabidopsis tissue sections VL - 1 ER - TY - JOUR AB - The basic concepts of the molecular machinery that mediates cell migration have been gleaned from cell culture systems. However, the three-dimensional environment within an organism presents migrating cells with a much greater challenge. They must move between and among other cells while interpreting multiple attractive and repulsive cues to choose their proper path. They must coordinate their cell adhesion with their surroundings and know when to start and stop moving. New insights into the control of these remaining mysteries have emerged from genetic dissection and live imaging of germ cell migration in Drosophila, zebrafish, and mouse embryos. In this review, we first describe germ cell migration in cellular and mechanistic detail in these different model systems. We then compare these systems to highlight the emerging principles. Finally, we contrast the migration of germ cells with that of immune and cancer cells to outline the conserved and different mechanisms. AU - Kunwar, Prabhat S AU - Daria Siekhaus AU - Lehmann, Ruth ID - 3152 JF - Annual Review of Cell and Developmental Biology TI - In vivo migration A germ cell perspective VL - 22 ER - TY - CONF AB - This paper presents an algorithm capable of real-time separation of foreground from background in monocular video sequences. Automatic segmentation of layers from colour/contrast or from motion alone is known to be error-prone. Here motion, colour and contrast cues are probabilistically fused together with spatial and temporal priors to infer layers accurately and efficiently. Central to our algorithm is the fact that pixel velocities are not needed, thus removing the need for optical flow estimation, with its tendency to error and computational expense. Instead, an efficient motion vs non-motion classifier is trained to operate directly and jointly on intensity-change and contrast. Its output is then fused with colour information. The prior on segmentation is represented by a second order, temporal, Hidden Markov Model, together with a spatial MRF favouring coherence except where contrast is high. Finally, accurate layer segmentation and explicit occlusion detection are efficiently achieved by binary graph cut. The segmentation accuracy of the proposed algorithm is quantitatively evaluated with respect to existing ground-truth data and found to be comparable to the accuracy of a state of the art stereo segmentation algorithm. Fore-ground/background segmentation is demonstrated in the application of live background substitution and shown to generate convincingly good quality composite video. AU - Criminisi, Antonio AU - Cross, Geoffrey AU - Blake, Andrew AU - Vladimir Kolmogorov ID - 3189 TI - Bilayer segmentation of live video VL - 1 ER - TY - JOUR AB - Algorithms for discrete energy minimization are of fundamental importance in computer vision. In this paper, we focus on the recent technique proposed by Wainwright et al. (Nov. 2005)- tree-reweighted max-product message passing (TRW). It was inspired by the problem of maximizing a lower bound on the energy. However, the algorithm is not guaranteed to increase this bound - it may actually go down. In addition, TRW does not always converge. We develop a modification of this algorithm which we call sequential tree-reweighted message passing. Its main property is that the bound is guaranteed not to decrease. We also give a weak tree agreement condition which characterizes local maxima of the bound with respect to TRW algorithms. We prove that our algorithm has a limit point that achieves weak tree agreement. Finally, we show that, our algorithm requires half as much memory as traditional message passing approaches. Experimental results demonstrate that on certain synthetic and real problems, our algorithm outperforms both the ordinary belief propagation and tree-reweighted algorithm in (M. J. Wainwright, et al., Nov. 2005). In addition, on stereo problems with Potts interactions, we obtain a lower energy than graph cuts. AU - Vladimir Kolmogorov ID - 3190 IS - 10 JF - IEEE Transactions on Pattern Analysis and Machine Intelligence TI - Convergent tree reweighted message passing for energy minimization VL - 28 ER - TY - CONF AB - We introduce the term cosegmentation which denotes the task of segmenting simultaneously the common parts of an image pair. A generative model for cosegmentation is presented. Inference in the model leads to minimizing an energy with an MRF term encoding spatial coherency and a global constraint which attempts to match the appearance histograms of the common parts. This energy has not been proposed previously and its optimization is challenging and NP-hard. For this problem a novel optimization scheme which we call trust region graph cuts is presented. We demonstrate that this framework has the potential to improve a wide range of research: Object driven image retrieval, video tracking and segmentation, and interactive image editing. The power of the framework lies in its generality, the common part can be a rigid/non-rigid object (or scene), observed from different viewpoints or even similar objects of the same class. AU - Rother, Carsten AU - Vladimir Kolmogorov AU - Minka, Thomas P AU - Blake, Andrew ID - 3188 TI - Cosegmentation of image pairs by histogram matching - Incorporating a global constraint into MRFs ER - TY - CONF AB - The Feistel-network is a popular structure underlying many block-ciphers where the cipher is constructed from many simpler rounds, each defined by some function which is derived from the secret key. Luby and Rackoff showed that the three-round Feistel-network – each round instantiated with a pseudorandom function secure against adaptive chosen plaintext attacks (CPA) – is a CPA secure pseudorandom permutation, thus giving some confidence in the soundness of using a Feistel-network to design block-ciphers. But the round functions used in actual block-ciphers are – for efficiency reasons – far from being pseudorandom. We investigate the security of the Feistel-network against CPA distinguishers when the only security guarantee we have for the round functions is that they are secure against non-adaptive chosen plaintext attacks (nCPA). We show that in the information-theoretic setting, four rounds with nCPA secure round functions are sufficient (and necessary) to get a CPA secure permutation. Unfortunately, this result does not translate into the more interesting pseudorandom setting. In fact, under the so-called Inverse Decisional Diffie-Hellman assumption the Feistel-network with four rounds, each instantiated with a nCPA secure pseudorandom function, is in general not a CPA secure pseudorandom permutation. AU - Maurer, Ueli M AU - Oswald, Yvonne A AU - Krzysztof Pietrzak AU - Sjödin, Johan ID - 3214 TI - Luby Rackoff ciphers from weak round functions VL - 4004 ER - TY - CONF AB - Most cryptographic primitives such as encryption, authentication or secret sharing require randomness. Usually one assumes that perfect randomness is available, but those primitives might also be realized under weaker assumptions. In this work we continue the study of building secure cryptographic primitives from imperfect random sources initiated by Dodis and Spencer (FOCS’02). Their main result shows that there exists a (high-entropy) source of randomness allowing for perfect encryption of a bit, and yet from which one cannot extract even a single weakly random bit, separating encryption from extraction. Our main result separates encryption from 2-out-2 secret sharing (both in the information-theoretic and in the computational settings): any source which can be used to achieve one-bit encryption also can be used for 2-out-2 secret sharing of one bit, but the converse is false, even for high-entropy sources. Therefore, possibility of extraction strictly implies encryption, which in turn strictly implies 2-out-2 secret sharing. AU - Dodis, Yevgeniy AU - Krzysztof Pietrzak AU - Przydatek, Bartosz ID - 3215 TI - Separating sources for encryption and secret sharing VL - 3876 ER - TY - CONF AB - To prove that a secure key-agreement protocol exists one must at least show P ≠NP. Moreover any proof that the sequential composition of two non-adaptively secure pseudorandom functions is secure against at least two adaptive queries must falsify the decisional Diffie-Hellman assumption, a standard assumption from public-key cryptography. Hence proving any of this two seemingly unrelated statements would require a significant breakthrough. We show that at least one of the two statements is true. To our knowledge this gives the first positive cryptographic result (namely that composition implies some weak adaptive security) which holds in Minicrypt, but not in Cryptomania, i.e. under the assumption that one-way functions exist, but public-key cryptography does not. AU - Krzysztof Pietrzak ID - 3217 TI - Composition implies adaptive security in minicrypt VL - 4004 ER - TY - CONF AB - We prove a new upper bound on the advantage of any adversary for distinguishing the encrypted CBC-MAC (EMAC) based on random permutations from a random function. Our proof uses techniques recently introduced in [BPR05], which again were inspired by [DGH + 04]. The bound we prove is tight — in the sense that it matches the advantage of known attacks up to a constant factor — for a wide range of the parameters: let n denote the block-size, q the number of queries the adversary is allowed to make and ℓ an upper bound on the length (i.e. number of blocks) of the messages, then for ℓ ≤ 2 n/8 and q≥ł2 the advantage is in the order of q 2/2 n (and in particular independent of ℓ). This improves on the previous bound of q 2ℓΘ(1/ln ln ℓ)/2 n from [BPR05] and matches the trivial attack (which thus is basically optimal) where one simply asks random queries until a collision is found. AU - Krzysztof Pietrzak ID - 3216 TI - A tight bound for EMAC VL - 4052 ER - TY - JOUR AB - We observed sharp wave/ripples (SWR) during exploration within brief (< 2.4 s) interruptions of or during theta oscillations. CA1 network responses of SWRs occurring during exploration (eSWR) and SWRs detected in waking immobility or sleep were similar. However, neuronal activity during eSWR was location dependent, and eSWR-related firing was stronger inside the place field than outside. The eSPW-related firing increase was stronger than the baseline increase inside compared to outside, suggesting a “supralinear” summation of eSWR and place-selective inputs. Pairs of cells with similar place fields and/or correlated firing during exploration showed stronger coactivation during eSWRs and subsequent sleep-SWRs. Sequential activation of place cells was not required for the reactivation of waking co-firing patterns; cell pairs with symmetrical cross-correlations still showed reactivated waking co-firing patterns during sleep-SWRs. We suggest that place-selective firing during eSWRs facilitates initial associations between cells with similar place fields that enable place-related ensemble patterns to recur during subsequent sleep-SWRs. AU - Joseph O'Neill AU - Senior,Timothy AU - Jozsef Csicsvari ID - 3522 IS - 1 JF - Neuron TI - Place-selective firing of CA1 pyramidal cells during sharp wave/ripple network patterns in exploratory behavior VL - 49 ER - TY - JOUR AB - We apply new analytical methods to understand the consequences of population bottlenecks for expected additive genetic variance. We analyze essentially all models for multilocus epistasis that have been numerically simulated to demonstrate increased additive variance. We conclude that for biologically plausible models, large increases in expected additive variance–attributable to epistasis rather than dominance–are unlikely. Naciri-Graven and Goudet (2003) found that as the number of epistatically interacting loci increases, additive variance tends to be inflated more after a bottleneck. We argue that this result reflects biologically unrealistic aspects of their models. Specifically, as the number of loci increases, higher-order epistatic interactions become increasingly important in these models, with an increasing fraction of the genetic variance becoming nonadditive, contrary to empirical observations. As shown by Barton and Turelli (2004), without dominance, conversion of nonadditive to additive variance depends only on the variance components and not on the number of loci per se. Numerical results indicating that more inbreeding is needed to produce maximal release of additive variance with more loci follow directly from our analytical results, which show that high levels of inbreeding (F > 0.5) are needed for significant conversion of higher-order components. We discuss alternative approaches to modeling multilocus epistasis and understanding its consequences. AU - Turelli, Michael AU - Nicholas Barton ID - 3607 IS - 9 JF - Evolution; International Journal of Organic Evolution TI - Will population bottlenecks and multilocus epistasis increase additive genetic variance? VL - 60 ER -