@article{166,
abstract = {For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.},
author = {Browning, Timothy D and Swarbick Jones, M},
journal = {Proceedings of the Bonn session in analytic number theory and diophantine equations},
publisher = {Mathematisches Institut der Universität Bonn},
title = {{Counting rational points on del Pezzo surfaces of degree 5}},
volume = {360},
year = {2003},
}
@article{1959,
abstract = {The molecular organization of bacterial NADH: ubiquinone oxidoreductase (complex I or NDH-1) is not established, apart from a rough separation into dehydrogenase, connecting and membrane domains. In this work, complex I was purified from Escherichia coli and fragmented by replacing dodecylmaltoside with other detergents. Exchange into decyl maltoside led to the removal of the hydrophobic subunit NuoL from the otherwise intact complex. Diheptanoyl phosphocholine led to the loss of NuoL and NuoM subunits, whereas other subunits remained in the complex. The presence of N,N-dimethyldodecylamine N-oxide or Triton X-100 led to further disruption of the membrane domain into fragments containing NuoL/M/N, NuoA/K/N, and NuoH/J subunits. Among the hydrophilic subunits, NuoCD was most readily dissociated from the complex, whereas NuoB was partially dissociated from the peripheral arm assembly in N,N-dimethyldodecylamine N-oxide. A model of subunit arrangement in bacterial complex I based on these data is proposed. Subunits NuoL and NuoM, which are homologous to antiporters and are implicated in proton pumping, are located at the distal end of the membrane arm, spatially separated from the redox centers of the peripheral arm. This is consistent with proposals that the mechanism of proton pumping by complex I is likely to involve long range conformational changes.},
author = {Holt, Peter J and Morgan, David J and Leonid Sazanov},
journal = {Journal of Biological Chemistry},
number = {44},
pages = {43114 -- 43120},
publisher = {American Society for Biochemistry and Molecular Biology},
title = {{The location of NuoL and NuoM subunits in the membrane domain of the Escherichia coli Complex I: implications for the mechanism of proton pumping}},
doi = {10.1074/jbc.M308247200},
volume = {278},
year = {2003},
}
@article{1960,
abstract = {NADH-ubiquinone oxidoreductase (complex I or NDH-1) was purified from the BL21 strain of Escherichia coli using an improved procedure. The complex was effectively stabilized by addition of divalent cations and lipids, making the preparation suitable for structural studies. The ubiquinone reductase activity of the enzyme was fully restored by addition of native E. coli lipids. Two different two-dimensional crystal forms, with p2 and p3 symmetry, were obtained using lipids containing native E. coli extracts. Analysis of the crystals showed that they are formed by fully intact complex I in an L-shaped conformation. Activity assays and single particle analysis indicated that complex I maintains this structure in detergent solution and does not adopt a different conformation in the active state. Thus, we provide the first experimental evidence that complex I from E. coli has an L-shape in a lipid bilayer and confirm that this is also the case for the active enzyme in solution. This suggests strongly that bacterial complex I exists in an L-shaped conformation in vivo. Our results also indicate that native lipids play an important role in the activation, stabilization and, as a consequence, crystallization of purified complex I from E. coli.},
author = {Leonid Sazanov and Carroll, Joe D and Holt, Peter J and Toime, Laurence J and Fearnley, Ian M},
journal = {Journal of Biological Chemistry},
number = {21},
pages = {19483 -- 19491},
publisher = {American Society for Biochemistry and Molecular Biology},
title = {{A role for native lipids in the stabilization and two dimensional crystallization of the Escherichia coli NADH ubiquinone oxidoreductase (complex I)}},
doi = {10.1074/jbc.M208959200},
volume = {278},
year = {2003},
}
@article{205,
author = {Timothy Browning},
journal = {Acta Arithmetica},
number = {3},
pages = {275 -- 295},
publisher = {Instytut Matematyczny},
title = {{Counting rational points on cubic and quartic surfaces}},
doi = {10.4064/aa108-3-7},
volume = {108},
year = {2003},
}
@article{206,
abstract = {Let T ⊂ ℙ 4 be a non-singular threefold of degree at least four. Then we show that the number of points in T(ℚ), with height at most B, is o(B 3) or B → ∞.},
author = {Timothy Browning},
journal = {Quarterly Journal of Mathematics},
number = {1},
pages = {33 -- 39},
publisher = {Unknown},
title = {{A note on the distribution of rational points on threefolds}},
doi = {10.1093/qjmath/54.1.33},
volume = {54},
year = {2003},
}
@article{207,
author = {Browning, Timothy D},
journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
number = {3},
pages = {385 -- 395},
publisher = {Cambridge University Press},
title = {{Sums of four biquadrates}},
doi = {10.1017/S0305004102006382},
volume = {134},
year = {2003},
}
@article{208,
abstract = {For any ε > 0 and any diagonal quadratic form Q ∈ ℤ[x 1, x 2, x 3, x 4] with a square-free discriminant of modulus Δ Q ≠ 0, we establish the uniform estimate ≪ε B 3/2+ε + B 2+ε/Δ Q 1/6 for the number of rational points of height at most B lying in the projective surface Q = 0.},
author = {Timothy Browning},
journal = {Quarterly Journal of Mathematics},
number = {1},
pages = {11 -- 31},
publisher = {Oxford University Press},
title = {{Counting rational points on diagonal quadratic surfaces}},
doi = {10.1093/qjmath/54.1.11},
volume = {54},
year = {2003},
}
@inproceedings{2337,
author = {Lieb, Élliott H and Robert Seiringer},
editor = {Karpeshina, Yulia and Weikard, Rudi and Zeng, Yanni},
pages = {239 -- 250},
publisher = {American Mathematical Society},
title = {{Bose-Einstein condensation of dilute gases in traps }},
doi = {10.1090/conm/327/05818},
volume = {327},
year = {2003},
}
@article{2354,
abstract = {We investigate the ground state properties of a gas of interacting particles confined in an external potential in three dimensions and subject to rotation around an axis of symmetry. We consider the Gross-Pitaevskii (GP) limit of a dilute gas. Analysing both the absolute and the bosonic ground states of the system, we show, in particular, their different behaviour for a certain range of parameters. This parameter range is determined by the question whether the rotational symmetry in the minimizer of the GP functional is broken or not. For the absolute ground state, we prove that in the GP limit a modified GP functional depending on density matrices correctly describes the energy and reduced density matrices, independent of symmetry breaking. For the bosonic ground state this holds true if and only if the symmetry is unbroken.},
author = {Robert Seiringer},
journal = {Journal of Physics A: Mathematical and Theoretical},
number = {37},
pages = {9755 -- 9778},
publisher = {IOP Publishing Ltd.},
title = {{Ground state asymptotics of a dilute, rotating gas}},
doi = {10.1088/0305-4470/36/37/312},
volume = {36},
year = {2003},
}
@article{2357,
abstract = {The classic Poincaré inequality bounds the L q-norm of a function f in a bounded domain Ω ⊂ ℝ n in terms of some L p-norm of its gradient in Ω. We generalize this in two ways: In the first generalization we remove a set Τ from Ω and concentrate our attention on Λ = Ω \ Τ. This new domain might not even be connected and hence no Poincaré inequality can generally hold for it, or if it does hold it might have a very bad constant. This is so even if the volume of Τ is arbitrarily small. A Poincaré inequality does hold, however, if one makes the additional assumption that f has a finite L p gradient norm on the whole of Ω, not just on Λ. The important point is that the Poincaré inequality thus obtained bounds the L q-norm of f in terms of the L p gradient norm on Λ (not Ω) plus an additional term that goes to zero as the volume of Τ goes to zero. This error term depends on Τ only through its volume. Apart from this additive error term, the constant in the inequality remains that of the 'nice' domain Ω. In the second generalization we are given a vector field A and replace ∇ by ∇ + iA(x) (geometrically, a connection on a U(1) bundle). Unlike the A = 0 case, the infimum of ∥(∇ + iA)f∥ p over all f with a given ∥f∥ q is in general not zero. This permits an improvement of the inequality by the addition of a term whose sharp value we derive. We describe some open problems that arise from these generalizations.},
author = {Lieb, Élliott H and Robert Seiringer and Yngvason, Jakob},
journal = {Annals of Mathematics},
number = {3},
pages = {1067 -- 1080},
publisher = {Princeton University Press},
title = {{Poincaré inequalities in punctured domains}},
doi = {10.4007/annals.2003.158.1067 },
volume = {158},
year = {2003},
}
@article{2358,
abstract = {A study was conducted on the one-dimensional (1D) bosons in three-dimensional (3D) traps. A rigorous analysis was carried out on the parameter regions in which various types of 1D or 3D behavior occurred in the ground state. The four parameter regions include density, transverse, longitudinal dimensions and scattering length.},
author = {Lieb, Élliott H and Robert Seiringer and Yngvason, Jakob},
journal = {Physical Review Letters},
number = {15},
pages = {1504011 -- 1504014},
publisher = {American Physical Society},
title = {{One-dimensional Bosons in three-dimensional traps}},
doi = {10.1103/PhysRevLett.91.150401},
volume = {91},
year = {2003},
}
@phdthesis{2414,
author = {Uli Wagner},
publisher = {ETH Zurich},
title = {{On k-Sets and Their Applications}},
doi = {10.3929/ethz-a-004708408},
year = {2003},
}
@inproceedings{2422,
abstract = {We prove a lower bound of 0.3288(4 n) for the rectilinear crossing number cr̄(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadrilaterals in any set of n points in general position in the Euclidean plane. As we see it, the main contribution of this paper is not so much the concrete numerical improvement over earlier bounds, as the novel method of proof, which is not based on bounding cr̄(Kn) for some small n.},
author = {Uli Wagner},
pages = {583 -- 588},
publisher = {SIAM},
title = {{On the rectilinear crossing number of complete graphs}},
year = {2003},
}
@inproceedings{2423,
abstract = {A finite set N ⊃ Rd is a weak ε-net for an n-point set X ⊃ Rd (with respect to convex sets) if N intersects every convex set K with |K ∩ X| ≥ εn. We give an alternative, and arguably simpler, proof of the fact, first shown by Chazelle et al. [7], that every point set X in Rd admits a weak ε-net of cardinality O(ε-d polylog(1/ε)). Moreover, for a number of special point sets (e.g., for points on the moment curve), our method gives substantially better bounds. The construction yields an algorithm to construct such weak ε-nets in time O(n ln(1/ε)). We also prove, by a different method, a near-linear upper bound for points uniformly distributed on the (d - 1)-dimensional sphere.},
author = {Matoušek, Jiří and Uli Wagner},
pages = {129 -- 135},
publisher = {ACM},
title = {{New constructions of weak epsilon-nets}},
doi = {10.1145/777792.777813},
year = {2003},
}
@inproceedings{2424,
abstract = {We introduce the adaptive neighborhood graph as a data structure for modeling a smooth manifold M embedded in some (potentially very high-dimensional) Euclidean space ℝd. We assume that M is known to us only through a finite sample P ⊂ M, as it is often the case in applications. The adaptive neighborhood graph is a geometric graph on P. Its complexity is at most min{2O(k)(n, n2}, where n = |P| and k = dim M, as opposed to the n⌈d/2⌉ complexity of the Delaunay triangulation, which is often used to model manifolds. We show that we can provably correctly infer the connectivity of M and the dimension of M from the adaptive neighborhood graph provided a certain standard sampling condition is fulfilled. The running time of the dimension detection algorithm is d2O(k7 log k) for each connected component of M. If the dimension is considered constant, this is a constant-time operation, and the adaptive neighborhood graph is of linear size. Moreover, the exponential dependence of the constants is only on the intrinsic dimension k, not on the ambient dimension d. This is of particular interest if the co-dimension is high, i.e., if k is much smaller than d, as is the case in many applications. The adaptive neighborhood graph also allows us to approximate the geodesic distances between the points in P.},
author = {Giesen, Joachim and Uli Wagner},
pages = {329 -- 337},
publisher = {ACM},
title = {{Shape dimension and intrinsic metric from samples of manifolds with high co-dimension}},
doi = {10.1145/777792.777841},
year = {2003},
}
@article{2623,
abstract = {Patients with Hodgkin's disease can develop paraneoplastic cerebellar ataxia because of the generation of autoantibodies against mGluR1 (mGluR1-Abs). Yet, the pathophysiological mechanisms underlying their motor coordination deficits remain to be elucidated. Here, we show that application of IgG purified from the patients' serum to cerebellar slices of mice acutely reduces the basal activity of Purkinje cells, whereas application to the flocculus of mice in vivo evokes acute disturbances in the performance of their compensatory eye movements. In addition, the mGluR1-Abs block induction of long-term depression in cultured mouse Purkinje cells, whereas the cerebellar motor learning behavior of the patients is affected in that they show impaired adaptation of their saccadic eye movements. Finally, postmortem analysis of the cerebellum of a paraneoplastic cerebellar ataxia patient showed that the number of Purkinje cells was significantly reduced by approximately two thirds compared with three controls. We conclude that autoantibodies against mGluR1 can cause cerebellar motor coordination deficits caused by a combination of rapid effects on both acute and plastic responses of Purkinje cells and chronic degenerative effects.},
author = {Coesmans, Michiel P and Sillevis-Smitt, Peter A and Linden, David J and Ryuichi Shigemoto and Hirano, Tomoo and Yamakawa, Yoshinori and Van Alphen, Adriaan M and Luo, Chongde and Van Der Geest, Jos N and Kros, Johan M and Gaillard, Carlo A and Frens, Maarten A and De Zeeuw, Chris I},
journal = {Annals of Neurology},
number = {3},
pages = {325 -- 336},
publisher = {Wiley-Blackwell},
title = {{Mechanisms underlying cerebellar motor deficits due to mGluR1-autoantibodies}},
doi = {10.1002/ana.10451},
volume = {53},
year = {2003},
}
@article{2625,
abstract = {Metabotropic glutamate receptor 1 (mGluR1) plays a crucial role in synaptic plasticity and motor learning in the cerebellum. We have studied activity-dependent changes in mGluR1 function in mouse cultured Purkinje neurons. Depolarizing stimulation potentiated Ca2+ and current responses to an mGluR1 agonist for several hours in the cultured Purkinje neurons. It also blocked internalization of mGluR1 and increased the number of mGluR1s on the cell membrane. We found that depolarization simultaneously increased transcription of Homer1a in Purkinje neurons. Homer1a inhibited internalization and increased cell-surface expression of mGluR1 when coexpressed in human embryonic kidney (HEK)-293 cells. Depolarization-induced Homer1a expression in Purkinje neurons was blocked by a mitogen-activated protein kinase (MAPK) inhibitor. Changes in internalization and mGluR1-mediated Ca2+ response were also blocked by inhibition of MAPK activity, suggesting that localization and activity of mGluR1 were regulated in the same signalling pathway as Homer1a expression. It is thus suggested that depolarization of the Purkinje neuron leads to the increment in mGluR1 responsiveness through MAPK activity and induction of Homer1a expression, which increases active mGluR1 on the cell surface by blocking internalization of mGluR1.},
author = {Minami, Itsunari and Kengaku, Mineko and Smitt, Sillevis P and Ryuichi Shigemoto and Hirano, Tomoo},
journal = {European Journal of Neuroscience},
number = {5},
pages = {1023 -- 1032},
publisher = {Wiley-Blackwell},
title = {{Long-term potentiation of mGluR1 activity by depolarization-induced Homer1a in mouse cerebellar Purkinje neurons}},
doi = {10.1046/j.1460-9568.2003.02499.x},
volume = {17},
year = {2003},
}
@article{2626,
abstract = {The expression pattern of metabotropic glutamate receptor Iα (mGluR1α) was immunohistochemically investigated in substantia nigra dopaminergic neurons of the macaque monkey. In normal monkeys, mGluR1α immunoreactivity was weakly observed in the dorsal tier of the substantia nigra pars compacta (SNc-d) where calbindin-D28k-containing dopaminergic neurons invulnerable to parkinsonian degeneration are specifically located. On the other hand, mGluR1α was strongly expressed in the ventral tier of the substantia nigra pars cornpacta (SNc-v). In monkeys treated with the parkinsonism-inducing drug, I-methyl-4-phenyl-1,2,3,6-tetrahydropyridine (MPTP), mGluR1α expression was decreased in dopaminergic neurons in the SNc-v that were spared its toxic action. These results suggest that mGluR1α expression may be involved at least partly in the vulnerability of dopaminergic neurons to parkinsonian insults.},
author = {Kaneda, Katsuyuki and Imanishi, Michiko and Nambu, Atsushi and Ryuichi Shigemoto and Takada, Masahiko},
journal = {Neuroreport},
number = {7},
pages = {947 -- 950},
publisher = {Lippincott, Williams & Wilkins},
title = {{Differential expression patterns of mGluR1α in monkey nigral dopamine neurons}},
doi = {10.1097/01.wnr.0000074344.81633.e4},
volume = {14},
year = {2003},
}
@article{2627,
abstract = {Despite its implications for higher order functions of the brain, little is currently known about the molecular basis of left-right asymmetry of the brain. Here we report that synaptic distribution of N-methyl-D-aspartate (NMDA) receptor GluRε2 (NR2B) subunits in the adult mouse hippocampus is asymmetrical between the left and right and between the apical and basal dendrites of single neurons. These asymmetrical allocations of ε2 subunits differentiate the properties of NMDA receptors and synaptic plasticity between the left and right hippocampus. These results provide a molecular basis for the structural and functional asymmetry of the mature brain.},
author = {Kawakami, Ryosuke and Shinohara, Yoshiaki and Kato, Yuichiro and Sugiyama, Hiroyuki and Ryuichi Shigemoto and Ito, Isao},
journal = {Science},
number = {5621},
pages = {990 -- 994},
publisher = {American Association for the Advancement of Science},
title = {{Asymmetrical allocation of NMDA receptor ε2 subunits in hippocampal circuitry}},
doi = {10.1126/science.1082609},
volume = {300},
year = {2003},
}
@article{2628,
abstract = {We aimed to estimate the number of AMPA receptors (AMPARs) bound by the quantal transmitter packet, their single-channel conductance and their density in the postsynaptic membrane at cerebellar Purkinje cell synapses. The synaptic and extrasynaptic AMPARs were examined in Purkinje cells in 2- to 4-day-old rats, when they receive synaptic inputs solely from climbing fibres (CFs). Evoked CF EPSCs and whole-cell AMPA currents displayed roughly linear current-voltage relationships, consistent with the presence of GluR2 subunits in synaptic and extrasynaptic AMPARs. The mean quantal size, estimated from the miniature EPSCs (MEPSCs), was ∼300 pS. Peak-scaled non-stationary fluctuation analysis of spontaneous EPSCs and MEPSCs gave a weighted-mean synaptic channel conductance of ∼5 pS (∼7 pS when corrected for filtering). By applying non-stationary fluctuation analysis to extrasynaptic currents activated by brief glutamate pulses (5 mM), we also obtained a small single-channel conductance estimate for extrasynaptic AMPARs (∼11 pS). This approach allowed us to obtain a maximum open probability (Po,max) value for the extrasynaptic receptors (Po,max = 0.72). Directly resolved extrasynaptic channel openings in the continued presence of glutamate exhibited clear multiple-conductance levels. The mean area of the postsynaptic density (PSD) of these synapses was 0.074 μm2, measured by reconstructing electron-microscopic (EM) serial sections. Postembedding immunogold labelling by anti-GluR2/3 antibody revealed that AMPARs are localised in PSDs. From these data and by simulating error factors, we estimate that at least 66 AMPARs are bound by a quantal transmitter packet at CF-Purkinje cell synapses, and the receptors are packed at a minimum density of ∼900 μm-2 in the postsynaptic membrane.},
author = {Momiyama, Akiko and Silver, Rachel A and Häusser, Michael A and Notomi, Takuya and Wu, Yue and Ryuichi Shigemoto and Cull-Candy, Stuart G},
journal = {Journal of Physiology},
number = {1},
pages = {75 -- 92},
publisher = {Wiley-Blackwell},
title = {{The density of AMPA receptors activated by a transmitter quantum at the climbing fibre - Purkinje cell synapse in immature rats}},
doi = {10.1113/jphysiol.2002.033472},
volume = {549},
year = {2003},
}