@misc{2664,
abstract = {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.},
author = {Ferraguti, Francesco and Ryuichi Shigemoto},
booktitle = {Cell and Tissue Research},
number = {2},
pages = {483 -- 504},
publisher = {Springer},
title = {{Metabotropic glutamate receptors}},
doi = {10.1007/s00441-006-0266-5},
volume = {326},
year = {2006},
}
@article{2366,
abstract = {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.},
author = {Frank, Rupert L and Laptev, Ari and Lieb, Élliott H and Robert Seiringer},
journal = {Letters in Mathematical Physics},
number = {3},
pages = {309 -- 316},
publisher = {Springer},
title = {{Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials}},
doi = {10.1007/s11005-006-0095-1},
volume = {77},
year = {2006},
}
@article{2429,
abstract = {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. },
author = {Matoušek, Jiří and Sharir, Micha and Smorodinsky, Shakhar and Uli Wagner},
journal = {Discrete & Computational Geometry},
number = {2},
pages = {177 -- 191},
publisher = {Springer},
title = {{K-sets in four dimensions}},
doi = {10.1007/s00454-005-1200-4},
volume = {35},
year = {2006},
}
@inproceedings{2431,
abstract = {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.},
author = {Uli Wagner},
pages = {635 -- 645},
publisher = {IEEE},
title = {{On a geometric generalization of the Upper Bound Theorem}},
doi = {10.1109/FOCS.2006.53},
year = {2006},
}
@inproceedings{2746,
abstract = {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.},
author = {László Erdös and Salmhofer, Manfred and Yau, Horng-Tzer},
pages = {233 -- 257},
publisher = {World Scientific Publishing},
title = {{Towards the quantum Brownian motion}},
doi = {10.1007/3-540-34273-7_18},
volume = {690},
year = {2006},
}
@article{2791,
abstract = {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.},
author = {Björn Hof and Westerweel, Jerry and Schneider, Tobias M and Eckhardt, Bruno},
journal = {Nature},
number = {7107},
pages = {59 -- 62},
publisher = {Nature Publishing Group},
title = {{Finite lifetime of turbulence in shear flows}},
doi = {10.1038/nature05089},
volume = {443},
year = {2006},
}
@article{3009,
author = {Paciorek, Tomasz and Friml, Jirí},
journal = {Journal of Cell Science},
number = {7},
pages = {1199 -- 1202},
publisher = {Company of Biologists},
title = {{Auxin signaling}},
doi = {10.1242/jcs.02910},
volume = {119},
year = {2006},
}
@article{3011,
abstract = {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.},
author = {Wiśniewska, Justyna and Xu, Jian and Seifertová, Daniela and Brewer, Philip B and Růžička, Kamil and Blilou, Ikram and Rouquié, David and Eva Benková and Scheres, Ben and Jirí Friml},
journal = {Science},
number = {5775},
publisher = {American Association for the Advancement of Science},
title = {{Polar PIN localization directs auxin flow in plants}},
doi = {10.1126/science.1121356},
volume = {312},
year = {2006},
}
@article{3016,
abstract = {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.},
author = {Sauer, Michael and Balla, Jozef and Luschnig, Christian and Wiśniewska, Justyna and Reinöhl, Vilém and Jirí Friml and Eva Benková},
journal = {Genes and Development},
number = {20},
pages = {2902 -- 2911},
publisher = {Cold Spring Harbor Laboratory Press},
title = {{Canalization of auxin flow by Aux/IAA-ARF-dependent feedback regulation of PIN polarity}},
doi = {10.1101/gad.390806},
volume = {20},
year = {2006},
}
@inproceedings{3186,
abstract = {We introduce a new approach to modelling gradient flows of contours and surfaces. While standard variational methods (e.g. level sets) compute local interface motion in a differential fashion by estimating local contour velocity via energy derivatives, we propose to solve surface evolution PDEs by explicitly estimating integral motion of the whole surface. We formulate an optimization problem directly based on an integral characterization of gradient flow as an infinitesimal move of the (whole) surface giving the largest energy decrease among all moves of equal size. We show that this problem can be efficiently solved using recent advances in algorithms for global hypersurface optimization [4, 2, 11]. In particular, we employ the geo-cuts method [4] that uses ideas from integral geometry to represent continuous surfaces as cuts on discrete graphs. The resulting interface evolution algorithm is validated on some 2D and 3D examples similar to typical demonstrations of level-set methods. Our method can compute gradient flows of hypersurfaces with respect to a fairly general class of continuous functional and it is flexible with respect to distance metrics on the space of contours/surfaces. Preliminary tests for standard L2 distance metric demonstrate numerical stability, topological changes and an absence of any oscillatory motion.},
author = {Boykov, Yuri and Vladimir Kolmogorov and Cremers, Daniel and Delong, Andrew},
pages = {409 -- 422},
publisher = {Springer},
title = {{An integral solution to surface evolution PDEs via geo cuts}},
doi = {10.1007/11744078_32},
volume = {3953},
year = {2006},
}