--- _id: '207' author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: Browning TD. Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. 2003;134(3):385-395. doi:10.1017/S0305004102006382 apa: Browning, T. D. (2003). Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press. https://doi.org/10.1017/S0305004102006382 chicago: Browning, Timothy D. “Sums of Four Biquadrates.” Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 2003. https://doi.org/10.1017/S0305004102006382. ieee: T. D. Browning, “Sums of four biquadrates,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 134, no. 3. Cambridge University Press, pp. 385–395, 2003. ista: Browning TD. 2003. Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. 134(3), 385–395. mla: Browning, Timothy D. “Sums of Four Biquadrates.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 134, no. 3, Cambridge University Press, 2003, pp. 385–95, doi:10.1017/S0305004102006382. short: T.D. Browning, Mathematical Proceedings of the Cambridge Philosophical Society 134 (2003) 385–395. date_created: 2018-12-11T11:45:12Z date_published: 2003-05-01T00:00:00Z date_updated: 2021-01-12T06:55:07Z day: '01' doi: 10.1017/S0305004102006382 extern: '1' intvolume: ' 134' issue: '3' language: - iso: eng month: '05' oa_version: None page: 385 - 395 publication: Mathematical Proceedings of the Cambridge Philosophical Society publication_status: published publisher: Cambridge University Press publist_id: '7704' quality_controlled: '1' status: public title: Sums of four biquadrates type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 134 year: '2003' ... --- _id: '208' abstract: - lang: eng text: 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: - first_name: Timothy D full_name: Timothy Browning id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: Browning TD. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 2003;54(1):11-31. doi:10.1093/qjmath/54.1.11 apa: Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qjmath/54.1.11 chicago: Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” Quarterly Journal of Mathematics. Oxford University Press, 2003. https://doi.org/10.1093/qjmath/54.1.11. ieee: T. D. Browning, “Counting rational points on diagonal quadratic surfaces,” Quarterly Journal of Mathematics, vol. 54, no. 1. Oxford University Press, pp. 11–31, 2003. ista: Browning TD. 2003. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 54(1), 11–31. mla: Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” Quarterly Journal of Mathematics, vol. 54, no. 1, Oxford University Press, 2003, pp. 11–31, doi:10.1093/qjmath/54.1.11. short: T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 11–31. date_created: 2018-12-11T11:45:13Z date_published: 2003-03-01T00:00:00Z date_updated: 2021-01-12T06:55:10Z day: '01' doi: 10.1093/qjmath/54.1.11 extern: 1 intvolume: ' 54' issue: '1' month: '03' page: 11 - 31 publication: Quarterly Journal of Mathematics publication_status: published publisher: Oxford University Press publist_id: '7705' quality_controlled: 0 status: public title: Counting rational points on diagonal quadratic surfaces type: journal_article volume: 54 year: '2003' ... --- _id: '2337' alternative_title: - Contemporary Mathematics author: - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: 'Lieb É, Seiringer R. Bose-Einstein condensation of dilute gases in traps . In: Karpeshina Y, Weikard R, Zeng Y, eds. Vol 327. American Mathematical Society; 2003:239-250. doi:10.1090/conm/327/05818' apa: Lieb, É., & Seiringer, R. (2003). Bose-Einstein condensation of dilute gases in traps . In Y. Karpeshina, R. Weikard, & Y. Zeng (Eds.) (Vol. 327, pp. 239–250). Presented at the Differential Equations and Mathematical Physics, American Mathematical Society. https://doi.org/10.1090/conm/327/05818 chicago: Lieb, Élliott, and Robert Seiringer. “Bose-Einstein Condensation of Dilute Gases in Traps .” edited by Yulia Karpeshina, Rudi Weikard, and Yanni Zeng, 327:239–50. American Mathematical Society, 2003. https://doi.org/10.1090/conm/327/05818. ieee: É. Lieb and R. Seiringer, “Bose-Einstein condensation of dilute gases in traps ,” presented at the Differential Equations and Mathematical Physics, 2003, vol. 327, pp. 239–250. ista: Lieb É, Seiringer R. 2003. Bose-Einstein condensation of dilute gases in traps . Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 327, 239–250. mla: Lieb, Élliott, and Robert Seiringer. Bose-Einstein Condensation of Dilute Gases in Traps . Edited by Yulia Karpeshina et al., vol. 327, American Mathematical Society, 2003, pp. 239–50, doi:10.1090/conm/327/05818. short: É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250. conference: name: Differential Equations and Mathematical Physics date_created: 2018-12-11T11:57:04Z date_published: 2003-01-01T00:00:00Z date_updated: 2021-01-12T06:56:52Z day: '01' doi: 10.1090/conm/327/05818 editor: - first_name: Yulia full_name: Karpeshina, Yulia last_name: Karpeshina - first_name: Rudi full_name: Weikard, Rudi last_name: Weikard - first_name: Yanni full_name: Zeng, Yanni last_name: Zeng extern: 1 intvolume: ' 327' main_file_link: - open_access: '1' url: http://arxiv.org/abs/math-ph/0210028 month: '01' oa: 1 page: 239 - 250 publication_status: published publisher: American Mathematical Society publist_id: '4589' quality_controlled: 0 status: public title: 'Bose-Einstein condensation of dilute gases in traps ' type: conference volume: 327 year: '2003' ... --- _id: '2357' abstract: - lang: eng text: '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: - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Jakob full_name: Yngvason, Jakob last_name: Yngvason citation: ama: Lieb É, Seiringer R, Yngvason J. Poincaré inequalities in punctured domains. Annals of Mathematics. 2003;158(3):1067-1080. doi:10.4007/annals.2003.158.1067 apa: Lieb, É., Seiringer, R., & Yngvason, J. (2003). Poincaré inequalities in punctured domains. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2003.158.1067 chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Poincaré Inequalities in Punctured Domains.” Annals of Mathematics. Princeton University Press, 2003. https://doi.org/10.4007/annals.2003.158.1067 . ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Poincaré inequalities in punctured domains,” Annals of Mathematics, vol. 158, no. 3. Princeton University Press, pp. 1067–1080, 2003. ista: Lieb É, Seiringer R, Yngvason J. 2003. Poincaré inequalities in punctured domains. Annals of Mathematics. 158(3), 1067–1080. mla: Lieb, Élliott, et al. “Poincaré Inequalities in Punctured Domains.” Annals of Mathematics, vol. 158, no. 3, Princeton University Press, 2003, pp. 1067–80, doi:10.4007/annals.2003.158.1067 . short: É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080. date_created: 2018-12-11T11:57:11Z date_published: 2003-11-01T00:00:00Z date_updated: 2021-01-12T06:57:00Z day: '01' doi: '10.4007/annals.2003.158.1067 ' extern: 1 intvolume: ' 158' issue: '3' main_file_link: - open_access: '1' url: http://arxiv.org/abs/math/0205088 month: '11' oa: 1 page: 1067 - 1080 publication: Annals of Mathematics publication_status: published publisher: Princeton University Press publist_id: '4570' quality_controlled: 0 status: public title: Poincaré inequalities in punctured domains type: journal_article volume: 158 year: '2003' ... --- _id: '2354' abstract: - lang: eng text: 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: - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: 'Seiringer R. Ground state asymptotics of a dilute, rotating gas. Journal of Physics A: Mathematical and Theoretical. 2003;36(37):9755-9778. doi:10.1088/0305-4470/36/37/312' apa: 'Seiringer, R. (2003). Ground state asymptotics of a dilute, rotating gas. Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd. https://doi.org/10.1088/0305-4470/36/37/312' chicago: 'Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd., 2003. https://doi.org/10.1088/0305-4470/36/37/312.' ieee: 'R. Seiringer, “Ground state asymptotics of a dilute, rotating gas,” Journal of Physics A: Mathematical and Theoretical, vol. 36, no. 37. IOP Publishing Ltd., pp. 9755–9778, 2003.' ista: 'Seiringer R. 2003. Ground state asymptotics of a dilute, rotating gas. Journal of Physics A: Mathematical and Theoretical. 36(37), 9755–9778.' mla: 'Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.” Journal of Physics A: Mathematical and Theoretical, vol. 36, no. 37, IOP Publishing Ltd., 2003, pp. 9755–78, doi:10.1088/0305-4470/36/37/312.' short: 'R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.' date_created: 2018-12-11T11:57:10Z date_published: 2003-09-19T00:00:00Z date_updated: 2021-01-12T06:56:59Z day: '19' doi: 10.1088/0305-4470/36/37/312 extern: 1 intvolume: ' 36' issue: '37' main_file_link: - open_access: '1' url: http://arxiv.org/abs/math-ph/0306022 month: '09' oa: 1 page: 9755 - 9778 publication: 'Journal of Physics A: Mathematical and Theoretical' publication_status: published publisher: IOP Publishing Ltd. publist_id: '4572' quality_controlled: 0 status: public title: Ground state asymptotics of a dilute, rotating gas type: journal_article volume: 36 year: '2003' ... --- _id: '2358' abstract: - lang: eng text: 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: - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Jakob full_name: Yngvason, Jakob last_name: Yngvason citation: ama: Lieb É, Seiringer R, Yngvason J. One-dimensional Bosons in three-dimensional traps. Physical Review Letters. 2003;91(15):1504011-1504014. doi:10.1103/PhysRevLett.91.150401 apa: Lieb, É., Seiringer, R., & Yngvason, J. (2003). One-dimensional Bosons in three-dimensional traps. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.91.150401 chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Bosons in Three-Dimensional Traps.” Physical Review Letters. American Physical Society, 2003. https://doi.org/10.1103/PhysRevLett.91.150401. ieee: É. Lieb, R. Seiringer, and J. Yngvason, “One-dimensional Bosons in three-dimensional traps,” Physical Review Letters, vol. 91, no. 15. American Physical Society, pp. 1504011–1504014, 2003. ista: Lieb É, Seiringer R, Yngvason J. 2003. One-dimensional Bosons in three-dimensional traps. Physical Review Letters. 91(15), 1504011–1504014. mla: Lieb, Élliott, et al. “One-Dimensional Bosons in Three-Dimensional Traps.” Physical Review Letters, vol. 91, no. 15, American Physical Society, 2003, pp. 1504011–14, doi:10.1103/PhysRevLett.91.150401. short: É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014. date_created: 2018-12-11T11:57:12Z date_published: 2003-10-10T00:00:00Z date_updated: 2021-01-12T06:57:00Z day: '10' doi: 10.1103/PhysRevLett.91.150401 extern: 1 intvolume: ' 91' issue: '15' main_file_link: - open_access: '1' url: http://arxiv.org/abs/cond-mat/0304071 month: '10' oa: 1 page: 1504011 - 1504014 publication: Physical Review Letters publication_status: published publisher: American Physical Society publist_id: '4571' quality_controlled: 0 status: public title: One-dimensional Bosons in three-dimensional traps type: journal_article volume: 91 year: '2003' ... --- _id: '2414' author: - first_name: Uli full_name: Uli Wagner id: 36690CA2-F248-11E8-B48F-1D18A9856A87 last_name: Wagner orcid: 0000-0002-1494-0568 citation: ama: Wagner U. On k-Sets and Their Applications. 2003. doi:10.3929/ethz-a-004708408 apa: Wagner, U. (2003). On k-Sets and Their Applications. ETH Zurich. https://doi.org/10.3929/ethz-a-004708408 chicago: Wagner, Uli. “On K-Sets and Their Applications.” ETH Zurich, 2003. https://doi.org/10.3929/ethz-a-004708408. ieee: U. Wagner, “On k-Sets and Their Applications,” ETH Zurich, 2003. ista: Wagner U. 2003. On k-Sets and Their Applications. ETH Zurich. mla: Wagner, Uli. On K-Sets and Their Applications. ETH Zurich, 2003, doi:10.3929/ethz-a-004708408. short: U. Wagner, On K-Sets and Their Applications, ETH Zurich, 2003. date_created: 2018-12-11T11:57:31Z date_published: 2003-01-01T00:00:00Z date_updated: 2021-01-12T06:57:20Z day: '01' doi: 10.3929/ethz-a-004708408 extern: 1 month: '01' publication_status: published publisher: ETH Zurich publist_id: '4511' quality_controlled: 0 status: public title: On k-Sets and Their Applications type: dissertation year: '2003' ... --- _id: '2424' abstract: - lang: eng text: 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: - first_name: Joachim full_name: Giesen, Joachim last_name: Giesen - first_name: Uli full_name: Uli Wagner id: 36690CA2-F248-11E8-B48F-1D18A9856A87 last_name: Wagner orcid: 0000-0002-1494-0568 citation: ama: 'Giesen J, Wagner U. Shape dimension and intrinsic metric from samples of manifolds with high co-dimension. In: ACM; 2003:329-337. doi:10.1145/777792.777841' apa: 'Giesen, J., & Wagner, U. (2003). Shape dimension and intrinsic metric from samples of manifolds with high co-dimension (pp. 329–337). Presented at the SoCG: Symposium on Computational Geometry, ACM. https://doi.org/10.1145/777792.777841' chicago: Giesen, Joachim, and Uli Wagner. “Shape Dimension and Intrinsic Metric from Samples of Manifolds with High Co-Dimension,” 329–37. ACM, 2003. https://doi.org/10.1145/777792.777841. ieee: 'J. Giesen and U. Wagner, “Shape dimension and intrinsic metric from samples of manifolds with high co-dimension,” presented at the SoCG: Symposium on Computational Geometry, 2003, pp. 329–337.' ista: 'Giesen J, Wagner U. 2003. Shape dimension and intrinsic metric from samples of manifolds with high co-dimension. SoCG: Symposium on Computational Geometry, 329–337.' mla: Giesen, Joachim, and Uli Wagner. Shape Dimension and Intrinsic Metric from Samples of Manifolds with High Co-Dimension. ACM, 2003, pp. 329–37, doi:10.1145/777792.777841. short: J. Giesen, U. Wagner, in:, ACM, 2003, pp. 329–337. conference: name: 'SoCG: Symposium on Computational Geometry' date_created: 2018-12-11T11:57:35Z date_published: 2003-06-01T00:00:00Z date_updated: 2021-01-12T06:57:24Z day: '01' doi: 10.1145/777792.777841 extern: 1 month: '06' page: 329 - 337 publication_status: published publisher: ACM publist_id: '4501' quality_controlled: 0 status: public title: Shape dimension and intrinsic metric from samples of manifolds with high co-dimension type: conference year: '2003' ... --- _id: '2423' abstract: - lang: eng text: 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: - first_name: Jiří full_name: Matoušek, Jiří last_name: Matoušek - first_name: Uli full_name: Uli Wagner id: 36690CA2-F248-11E8-B48F-1D18A9856A87 last_name: Wagner orcid: 0000-0002-1494-0568 citation: ama: 'Matoušek J, Wagner U. New constructions of weak epsilon-nets. In: ACM; 2003:129-135. doi:10.1145/777792.777813' apa: 'Matoušek, J., & Wagner, U. (2003). New constructions of weak epsilon-nets (pp. 129–135). Presented at the SoCG: Symposium on Computational Geometry, ACM. https://doi.org/10.1145/777792.777813' chicago: Matoušek, Jiří, and Uli Wagner. “New Constructions of Weak Epsilon-Nets,” 129–35. ACM, 2003. https://doi.org/10.1145/777792.777813. ieee: 'J. Matoušek and U. Wagner, “New constructions of weak epsilon-nets,” presented at the SoCG: Symposium on Computational Geometry, 2003, pp. 129–135.' ista: 'Matoušek J, Wagner U. 2003. New constructions of weak epsilon-nets. SoCG: Symposium on Computational Geometry, 129–135.' mla: Matoušek, Jiří, and Uli Wagner. New Constructions of Weak Epsilon-Nets. ACM, 2003, pp. 129–35, doi:10.1145/777792.777813. short: J. Matoušek, U. Wagner, in:, ACM, 2003, pp. 129–135. conference: name: 'SoCG: Symposium on Computational Geometry' date_created: 2018-12-11T11:57:34Z date_published: 2003-06-01T00:00:00Z date_updated: 2021-01-12T06:57:24Z day: '01' doi: 10.1145/777792.777813 extern: 1 month: '06' page: 129 - 135 publication_status: published publisher: ACM publist_id: '4502' quality_controlled: 0 status: public title: New constructions of weak epsilon-nets type: conference year: '2003' ... --- _id: '2422' abstract: - lang: eng text: 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: - first_name: Uli full_name: Uli Wagner id: 36690CA2-F248-11E8-B48F-1D18A9856A87 last_name: Wagner orcid: 0000-0002-1494-0568 citation: ama: 'Wagner U. On the rectilinear crossing number of complete graphs. In: SIAM; 2003:583-588.' apa: 'Wagner, U. (2003). On the rectilinear crossing number of complete graphs (pp. 583–588). Presented at the SODA: Symposium on Discrete Algorithms, SIAM.' chicago: Wagner, Uli. “On the Rectilinear Crossing Number of Complete Graphs,” 583–88. SIAM, 2003. ieee: 'U. Wagner, “On the rectilinear crossing number of complete graphs,” presented at the SODA: Symposium on Discrete Algorithms, 2003, pp. 583–588.' ista: 'Wagner U. 2003. On the rectilinear crossing number of complete graphs. SODA: Symposium on Discrete Algorithms, 583–588.' mla: Wagner, Uli. On the Rectilinear Crossing Number of Complete Graphs. SIAM, 2003, pp. 583–88. short: U. Wagner, in:, SIAM, 2003, pp. 583–588. conference: name: 'SODA: Symposium on Discrete Algorithms' date_created: 2018-12-11T11:57:34Z date_published: 2003-01-01T00:00:00Z date_updated: 2021-01-12T06:57:24Z day: '01' extern: 1 main_file_link: - open_access: '0' url: http://dl.acm.org/citation.cfm?id=644206 month: '01' page: 583 - 588 publication_status: published publisher: SIAM publist_id: '4503' quality_controlled: 0 status: public title: On the rectilinear crossing number of complete graphs type: conference year: '2003' ... --- _id: '2623' abstract: - lang: eng text: 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: - first_name: Michiel full_name: Coesmans, Michiel P last_name: Coesmans - first_name: Peter full_name: Sillevis-Smitt, Peter A last_name: Sillevis Smitt - first_name: David full_name: Linden, David J last_name: Linden - first_name: Ryuichi full_name: Ryuichi Shigemoto id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Tomoo full_name: Hirano, Tomoo last_name: Hirano - first_name: Yoshinori full_name: Yamakawa, Yoshinori last_name: Yamakawa - first_name: Adriaan full_name: Van Alphen, Adriaan M last_name: Van Alphen - first_name: Chongde full_name: Luo, Chongde last_name: Luo - first_name: Jos full_name: Van Der Geest, Jos N last_name: Van Der Geest - first_name: Johan full_name: Kros, Johan M last_name: Kros - first_name: Carlo full_name: Gaillard, Carlo A last_name: Gaillard - first_name: Maarten full_name: Frens, Maarten A last_name: Frens - first_name: Chris full_name: De Zeeuw, Chris I last_name: De Zeeuw citation: ama: Coesmans M, Sillevis Smitt P, Linden D, et al. Mechanisms underlying cerebellar motor deficits due to mGluR1-autoantibodies. Annals of Neurology. 2003;53(3):325-336. doi:10.1002/ana.10451 apa: Coesmans, M., Sillevis Smitt, P., Linden, D., Shigemoto, R., Hirano, T., Yamakawa, Y., … De Zeeuw, C. (2003). Mechanisms underlying cerebellar motor deficits due to mGluR1-autoantibodies. Annals of Neurology. Wiley-Blackwell. https://doi.org/10.1002/ana.10451 chicago: Coesmans, Michiel, Peter Sillevis Smitt, David Linden, Ryuichi Shigemoto, Tomoo Hirano, Yoshinori Yamakawa, Adriaan Van Alphen, et al. “Mechanisms Underlying Cerebellar Motor Deficits Due to MGluR1-Autoantibodies.” Annals of Neurology. Wiley-Blackwell, 2003. https://doi.org/10.1002/ana.10451. ieee: M. Coesmans et al., “Mechanisms underlying cerebellar motor deficits due to mGluR1-autoantibodies,” Annals of Neurology, vol. 53, no. 3. Wiley-Blackwell, pp. 325–336, 2003. ista: Coesmans M, Sillevis Smitt P, Linden D, Shigemoto R, Hirano T, Yamakawa Y, Van Alphen A, Luo C, Van Der Geest J, Kros J, Gaillard C, Frens M, De Zeeuw C. 2003. Mechanisms underlying cerebellar motor deficits due to mGluR1-autoantibodies. Annals of Neurology. 53(3), 325–336. mla: Coesmans, Michiel, et al. “Mechanisms Underlying Cerebellar Motor Deficits Due to MGluR1-Autoantibodies.” Annals of Neurology, vol. 53, no. 3, Wiley-Blackwell, 2003, pp. 325–36, doi:10.1002/ana.10451. short: M. Coesmans, P. Sillevis Smitt, D. Linden, R. Shigemoto, T. Hirano, Y. Yamakawa, A. Van Alphen, C. Luo, J. Van Der Geest, J. Kros, C. Gaillard, M. Frens, C. De Zeeuw, Annals of Neurology 53 (2003) 325–336. date_created: 2018-12-11T11:58:44Z date_published: 2003-03-01T00:00:00Z date_updated: 2021-01-12T06:58:39Z day: '01' doi: 10.1002/ana.10451 extern: 1 intvolume: ' 53' issue: '3' month: '03' page: 325 - 336 publication: Annals of Neurology publication_status: published publisher: Wiley-Blackwell publist_id: '4274' quality_controlled: 0 status: public title: Mechanisms underlying cerebellar motor deficits due to mGluR1-autoantibodies type: journal_article volume: 53 year: '2003' ... --- _id: '2625' abstract: - lang: eng text: 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: - first_name: Itsunari full_name: Minami, Itsunari last_name: Minami - first_name: Mineko full_name: Kengaku, Mineko last_name: Kengaku - first_name: Sillevis full_name: Smitt, Sillevis P last_name: Smitt - first_name: Ryuichi full_name: Ryuichi Shigemoto id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Tomoo full_name: Hirano, Tomoo last_name: Hirano citation: ama: Minami I, Kengaku M, Smitt S, Shigemoto R, Hirano T. Long-term potentiation of mGluR1 activity by depolarization-induced Homer1a in mouse cerebellar Purkinje neurons. European Journal of Neuroscience. 2003;17(5):1023-1032. doi:10.1046/j.1460-9568.2003.02499.x apa: Minami, I., Kengaku, M., Smitt, S., Shigemoto, R., & Hirano, T. (2003). Long-term potentiation of mGluR1 activity by depolarization-induced Homer1a in mouse cerebellar Purkinje neurons. European Journal of Neuroscience. Wiley-Blackwell. https://doi.org/10.1046/j.1460-9568.2003.02499.x chicago: Minami, Itsunari, Mineko Kengaku, Sillevis Smitt, Ryuichi Shigemoto, and Tomoo Hirano. “Long-Term Potentiation of MGluR1 Activity by Depolarization-Induced Homer1a in Mouse Cerebellar Purkinje Neurons.” European Journal of Neuroscience. Wiley-Blackwell, 2003. https://doi.org/10.1046/j.1460-9568.2003.02499.x. ieee: I. Minami, M. Kengaku, S. Smitt, R. Shigemoto, and T. Hirano, “Long-term potentiation of mGluR1 activity by depolarization-induced Homer1a in mouse cerebellar Purkinje neurons,” European Journal of Neuroscience, vol. 17, no. 5. Wiley-Blackwell, pp. 1023–1032, 2003. ista: Minami I, Kengaku M, Smitt S, Shigemoto R, Hirano T. 2003. Long-term potentiation of mGluR1 activity by depolarization-induced Homer1a in mouse cerebellar Purkinje neurons. European Journal of Neuroscience. 17(5), 1023–1032. mla: Minami, Itsunari, et al. “Long-Term Potentiation of MGluR1 Activity by Depolarization-Induced Homer1a in Mouse Cerebellar Purkinje Neurons.” European Journal of Neuroscience, vol. 17, no. 5, Wiley-Blackwell, 2003, pp. 1023–32, doi:10.1046/j.1460-9568.2003.02499.x. short: I. Minami, M. Kengaku, S. Smitt, R. Shigemoto, T. Hirano, European Journal of Neuroscience 17 (2003) 1023–1032. date_created: 2018-12-11T11:58:44Z date_published: 2003-03-01T00:00:00Z date_updated: 2021-01-12T06:58:39Z day: '01' doi: 10.1046/j.1460-9568.2003.02499.x extern: 1 intvolume: ' 17' issue: '5' month: '03' page: 1023 - 1032 publication: European Journal of Neuroscience publication_status: published publisher: Wiley-Blackwell publist_id: '4273' quality_controlled: 0 status: public title: Long-term potentiation of mGluR1 activity by depolarization-induced Homer1a in mouse cerebellar Purkinje neurons type: journal_article volume: 17 year: '2003' ... --- _id: '2626' abstract: - lang: eng text: 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: - first_name: Katsuyuki full_name: Kaneda, Katsuyuki last_name: Kaneda - first_name: Michiko full_name: Imanishi, Michiko last_name: Imanishi - first_name: Atsushi full_name: Nambu, Atsushi last_name: Nambu - first_name: Ryuichi full_name: Ryuichi Shigemoto id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Masahiko full_name: Takada, Masahiko last_name: Takada citation: ama: Kaneda K, Imanishi M, Nambu A, Shigemoto R, Takada M. Differential expression patterns of mGluR1α in monkey nigral dopamine neurons. Neuroreport. 2003;14(7):947-950. doi:10.1097/01.wnr.0000074344.81633.e4 apa: Kaneda, K., Imanishi, M., Nambu, A., Shigemoto, R., & Takada, M. (2003). Differential expression patterns of mGluR1α in monkey nigral dopamine neurons. Neuroreport. Lippincott, Williams & Wilkins. https://doi.org/10.1097/01.wnr.0000074344.81633.e4 chicago: Kaneda, Katsuyuki, Michiko Imanishi, Atsushi Nambu, Ryuichi Shigemoto, and Masahiko Takada. “Differential Expression Patterns of MGluR1α in Monkey Nigral Dopamine Neurons.” Neuroreport. Lippincott, Williams & Wilkins, 2003. https://doi.org/10.1097/01.wnr.0000074344.81633.e4. ieee: K. Kaneda, M. Imanishi, A. Nambu, R. Shigemoto, and M. Takada, “Differential expression patterns of mGluR1α in monkey nigral dopamine neurons,” Neuroreport, vol. 14, no. 7. Lippincott, Williams & Wilkins, pp. 947–950, 2003. ista: Kaneda K, Imanishi M, Nambu A, Shigemoto R, Takada M. 2003. Differential expression patterns of mGluR1α in monkey nigral dopamine neurons. Neuroreport. 14(7), 947–950. mla: Kaneda, Katsuyuki, et al. “Differential Expression Patterns of MGluR1α in Monkey Nigral Dopamine Neurons.” Neuroreport, vol. 14, no. 7, Lippincott, Williams & Wilkins, 2003, pp. 947–50, doi:10.1097/01.wnr.0000074344.81633.e4. short: K. Kaneda, M. Imanishi, A. Nambu, R. Shigemoto, M. Takada, Neuroreport 14 (2003) 947–950. date_created: 2018-12-11T11:58:45Z date_published: 2003-05-01T00:00:00Z date_updated: 2021-01-12T06:58:40Z day: '01' doi: 10.1097/01.wnr.0000074344.81633.e4 extern: 1 intvolume: ' 14' issue: '7' month: '05' page: 947 - 950 publication: Neuroreport publication_status: published publisher: Lippincott, Williams & Wilkins publist_id: '4272' quality_controlled: 0 status: public title: Differential expression patterns of mGluR1α in monkey nigral dopamine neurons type: journal_article volume: 14 year: '2003' ... --- _id: '2627' abstract: - lang: eng text: 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: - first_name: Ryosuke full_name: Kawakami, Ryosuke last_name: Kawakami - first_name: Yoshiaki full_name: Shinohara, Yoshiaki last_name: Shinohara - first_name: Yuichiro full_name: Kato, Yuichiro last_name: Kato - first_name: Hiroyuki full_name: Sugiyama, Hiroyuki last_name: Sugiyama - first_name: Ryuichi full_name: Ryuichi Shigemoto id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Isao full_name: Ito, Isao last_name: Ito citation: ama: Kawakami R, Shinohara Y, Kato Y, Sugiyama H, Shigemoto R, Ito I. Asymmetrical allocation of NMDA receptor ε2 subunits in hippocampal circuitry. Science. 2003;300(5621):990-994. doi:10.1126/science.1082609 apa: Kawakami, R., Shinohara, Y., Kato, Y., Sugiyama, H., Shigemoto, R., & Ito, I. (2003). Asymmetrical allocation of NMDA receptor ε2 subunits in hippocampal circuitry. Science. American Association for the Advancement of Science. https://doi.org/10.1126/science.1082609 chicago: Kawakami, Ryosuke, Yoshiaki Shinohara, Yuichiro Kato, Hiroyuki Sugiyama, Ryuichi Shigemoto, and Isao Ito. “Asymmetrical Allocation of NMDA Receptor Ε2 Subunits in Hippocampal Circuitry.” Science. American Association for the Advancement of Science, 2003. https://doi.org/10.1126/science.1082609. ieee: R. Kawakami, Y. Shinohara, Y. Kato, H. Sugiyama, R. Shigemoto, and I. Ito, “Asymmetrical allocation of NMDA receptor ε2 subunits in hippocampal circuitry,” Science, vol. 300, no. 5621. American Association for the Advancement of Science, pp. 990–994, 2003. ista: Kawakami R, Shinohara Y, Kato Y, Sugiyama H, Shigemoto R, Ito I. 2003. Asymmetrical allocation of NMDA receptor ε2 subunits in hippocampal circuitry. Science. 300(5621), 990–994. mla: Kawakami, Ryosuke, et al. “Asymmetrical Allocation of NMDA Receptor Ε2 Subunits in Hippocampal Circuitry.” Science, vol. 300, no. 5621, American Association for the Advancement of Science, 2003, pp. 990–94, doi:10.1126/science.1082609. short: R. Kawakami, Y. Shinohara, Y. Kato, H. Sugiyama, R. Shigemoto, I. Ito, Science 300 (2003) 990–994. date_created: 2018-12-11T11:58:45Z date_published: 2003-05-09T00:00:00Z date_updated: 2021-01-12T06:58:40Z day: '09' doi: 10.1126/science.1082609 extern: 1 intvolume: ' 300' issue: '5621' month: '05' page: 990 - 994 publication: Science publication_status: published publisher: American Association for the Advancement of Science publist_id: '4271' quality_controlled: 0 status: public title: Asymmetrical allocation of NMDA receptor ε2 subunits in hippocampal circuitry type: journal_article volume: 300 year: '2003' ... --- _id: '2629' abstract: - lang: eng text: The release of neurotransmitters is modulated by presynaptic metabotropic glutamate receptors (mGluRs), which show a highly selective expression and subcellular location in glutamatergic terminals in the hippocampus. Using immunocytochemistry, we investigated whether one of the receptors, mGluR7, whose level of expression is governed by the postsynaptic target, was present in GABAergic terminals and whether such terminals targeted particular cells. A total of 165 interneuron dendritic profiles receiving 466 synapses (82% mGluR7a-positive) were analysed. The presynaptic active zones of most GAD-(77%) or GABA-positive (94%) synaptic boutons on interneurons innervated by mGluR7a-enriched glutamatergic terminals (mGluR7a-decorated) were immunopositive for mGluR7a. GABAergic terminals on pyramidal cells and most other interneurons in str. oriens were mGluR7a-immunonegative. The mGluR7a-decorated cells were mostly somatostatin- and mGluR1α-immunopositive neurons in str. oriens and the alveus. Their GABAergic input mainly originated from VIP-positive terminals, 90% of which expressed high levels of mGluR7a in the presynaptic active zone. Parvalbumin-positive synaptic terminals were rare on mGluR7a-decorated cells, but on these neurons 73% of them were mGluR7a-immunopositive. Some type II synapses innervating interneurons were immunopositive for mGluR7b, as were some type I synapses. Because not all target cells of VIP-positive neurons are known it has not been possible to determine whether mGluR7 is expressed in a target-cell-specific manner in the terminals of single GABAergic cells. The activation of mGluR7 may decrease GABA release to mGluR7-decorated cells at times of high pyramidal cell activity, which elevates extracellular glutamate levels. Alternatively, the presynaptic receptor may be activated by as yet unidentified endogenous ligands released by the GABAergic terminals or the postsynaptic dendrites. author: - first_name: Péter full_name: Somogyi, Péter last_name: Somogyi - first_name: Yannis full_name: Dalezios, Yannis last_name: Dalezios - first_name: Rafael full_name: Luján, Rafael last_name: Luján - first_name: John full_name: Roberts, John D last_name: Roberts - first_name: Masahiko full_name: Watanabe, Masahiko last_name: Watanabe - first_name: Ryuichi full_name: Ryuichi Shigemoto id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 citation: ama: Somogyi P, Dalezios Y, Luján R, Roberts J, Watanabe M, Shigemoto R. High level of mGluR7 in the presynaptic active zones of select populations of GABAergic terminals innervating interneurons in the rat hippocampus. European Journal of Neuroscience. 2003;17(12):2503-2520. doi:10.1046/j.1460-9568.2003.02697.x apa: Somogyi, P., Dalezios, Y., Luján, R., Roberts, J., Watanabe, M., & Shigemoto, R. (2003). High level of mGluR7 in the presynaptic active zones of select populations of GABAergic terminals innervating interneurons in the rat hippocampus. European Journal of Neuroscience. Wiley-Blackwell. https://doi.org/10.1046/j.1460-9568.2003.02697.x chicago: Somogyi, Péter, Yannis Dalezios, Rafael Luján, John Roberts, Masahiko Watanabe, and Ryuichi Shigemoto. “High Level of MGluR7 in the Presynaptic Active Zones of Select Populations of GABAergic Terminals Innervating Interneurons in the Rat Hippocampus.” European Journal of Neuroscience. Wiley-Blackwell, 2003. https://doi.org/10.1046/j.1460-9568.2003.02697.x. ieee: P. Somogyi, Y. Dalezios, R. Luján, J. Roberts, M. Watanabe, and R. Shigemoto, “High level of mGluR7 in the presynaptic active zones of select populations of GABAergic terminals innervating interneurons in the rat hippocampus,” European Journal of Neuroscience, vol. 17, no. 12. Wiley-Blackwell, pp. 2503–2520, 2003. ista: Somogyi P, Dalezios Y, Luján R, Roberts J, Watanabe M, Shigemoto R. 2003. High level of mGluR7 in the presynaptic active zones of select populations of GABAergic terminals innervating interneurons in the rat hippocampus. European Journal of Neuroscience. 17(12), 2503–2520. mla: Somogyi, Péter, et al. “High Level of MGluR7 in the Presynaptic Active Zones of Select Populations of GABAergic Terminals Innervating Interneurons in the Rat Hippocampus.” European Journal of Neuroscience, vol. 17, no. 12, Wiley-Blackwell, 2003, pp. 2503–20, doi:10.1046/j.1460-9568.2003.02697.x. short: P. Somogyi, Y. Dalezios, R. Luján, J. Roberts, M. Watanabe, R. Shigemoto, European Journal of Neuroscience 17 (2003) 2503–2520. date_created: 2018-12-11T11:58:46Z date_published: 2003-06-01T00:00:00Z date_updated: 2021-01-12T06:58:41Z day: '01' doi: 10.1046/j.1460-9568.2003.02697.x extern: 1 intvolume: ' 17' issue: '12' month: '06' page: 2503 - 2520 publication: European Journal of Neuroscience publication_status: published publisher: Wiley-Blackwell publist_id: '4269' quality_controlled: 0 status: public title: High level of mGluR7 in the presynaptic active zones of select populations of GABAergic terminals innervating interneurons in the rat hippocampus type: journal_article volume: 17 year: '2003' ... --- _id: '2628' abstract: - lang: eng text: 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: - first_name: Akiko full_name: Momiyama, Akiko last_name: Momiyama - first_name: Rachel full_name: Silver, Rachel A last_name: Silver - first_name: Michael full_name: Häusser, Michael A last_name: Häusser - first_name: Takuya full_name: Notomi, Takuya last_name: Notomi - first_name: Yue full_name: Wu, Yue last_name: Wu - first_name: Ryuichi full_name: Ryuichi Shigemoto id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Stuart full_name: Cull-Candy, Stuart G last_name: Cull Candy citation: ama: Momiyama A, Silver R, Häusser M, et al. The density of AMPA receptors activated by a transmitter quantum at the climbing fibre - Purkinje cell synapse in immature rats. Journal of Physiology. 2003;549(1):75-92. doi:10.1113/jphysiol.2002.033472 apa: Momiyama, A., Silver, R., Häusser, M., Notomi, T., Wu, Y., Shigemoto, R., & Cull Candy, S. (2003). The density of AMPA receptors activated by a transmitter quantum at the climbing fibre - Purkinje cell synapse in immature rats. Journal of Physiology. Wiley-Blackwell. https://doi.org/10.1113/jphysiol.2002.033472 chicago: Momiyama, Akiko, Rachel Silver, Michael Häusser, Takuya Notomi, Yue Wu, Ryuichi Shigemoto, and Stuart Cull Candy. “The Density of AMPA Receptors Activated by a Transmitter Quantum at the Climbing Fibre - Purkinje Cell Synapse in Immature Rats.” Journal of Physiology. Wiley-Blackwell, 2003. https://doi.org/10.1113/jphysiol.2002.033472. ieee: A. Momiyama et al., “The density of AMPA receptors activated by a transmitter quantum at the climbing fibre - Purkinje cell synapse in immature rats,” Journal of Physiology, vol. 549, no. 1. Wiley-Blackwell, pp. 75–92, 2003. ista: Momiyama A, Silver R, Häusser M, Notomi T, Wu Y, Shigemoto R, Cull Candy S. 2003. The density of AMPA receptors activated by a transmitter quantum at the climbing fibre - Purkinje cell synapse in immature rats. Journal of Physiology. 549(1), 75–92. mla: Momiyama, Akiko, et al. “The Density of AMPA Receptors Activated by a Transmitter Quantum at the Climbing Fibre - Purkinje Cell Synapse in Immature Rats.” Journal of Physiology, vol. 549, no. 1, Wiley-Blackwell, 2003, pp. 75–92, doi:10.1113/jphysiol.2002.033472. short: A. Momiyama, R. Silver, M. Häusser, T. Notomi, Y. Wu, R. Shigemoto, S. Cull Candy, Journal of Physiology 549 (2003) 75–92. date_created: 2018-12-11T11:58:45Z date_published: 2003-05-15T00:00:00Z date_updated: 2021-01-12T06:58:40Z day: '15' doi: 10.1113/jphysiol.2002.033472 extern: 1 intvolume: ' 549' issue: '1' month: '05' page: 75 - 92 publication: Journal of Physiology publication_status: published publisher: Wiley-Blackwell publist_id: '4270' quality_controlled: 0 status: public title: The density of AMPA receptors activated by a transmitter quantum at the climbing fibre - Purkinje cell synapse in immature rats type: journal_article volume: 549 year: '2003' ... --- _id: '2631' abstract: - lang: eng text: Cyclic ADP-ribose (cADP-ribose) is a putative second messenger or modulator. However, the role of cADP-ribose in the downstream signals of the metabotropic glutamate receptors (mGluRs) is unclear. Here, we show that glutamate stimulates ADP-ribosyl cyclase activity in rat or mouse crude membranes of retina via group III mGluRs or in superior cervical ganglion via group I mGluRs. The retina of mGluR6-deficient mice showed no increase in the ADP-ribosyl cyclase level in response to glutamate. GTP enhanced the initial rate of basal and glutamate-stimulated cyclase activity. GTP-γ-S also stimulated basal activity. To determine whether the coupling mode of mGluRs to ADP-ribosyl cyclase is a feature common to individual cloned mGluRs, we expressed each mGluR subtype in NG108-15 neuroblastoma x glioma hybrid cells. The glutamate-induced stimulation of the cyclase occurs preferentially in NG108-15 cells over-expressing mGluRs1, 3, 5, and 6. Cells expressing mGluR2 or mGluRs4 and 7 exhibit inhibition or no coupling, respectively. Glutamate-induced activation or inhibition of the cyclase activity was eliminated after pre-treatment with cholera or pertussis toxin, respectively. Thus, the subtype-specific coupling of mGluRs to ADP-ribosyl cyclase via G proteins suggests that some glutamate-evoked neuronal functions are mediated by cADP-ribose. author: - first_name: Haruhiro full_name: Higashida, Haruhiro last_name: Higashida - first_name: Jia full_name: Zhang, Jia-Sheng last_name: Zhang - first_name: Sumiko full_name: Mochida, Sumiko last_name: Mochida - first_name: Xiao full_name: Chen, Xiao-Liang last_name: Chen - first_name: Yeonsook full_name: Shin, Yeonsook last_name: Shin - first_name: Mami full_name: Noda, Mami last_name: Noda - first_name: Kazi full_name: Hossain, Kazi Z last_name: Hossain - first_name: Naoto full_name: Hoshi, Naoto last_name: Hoshi - first_name: Minako full_name: Hashii, Minako last_name: Hashii - first_name: Ryuichi full_name: Ryuichi Shigemoto id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Shigetada full_name: Nakanishi, Shigetada last_name: Nakanishi - first_name: Yutaka full_name: Fukuda, Yutaka last_name: Fukuda - first_name: Shigeru full_name: Yokoyama, Shigeru last_name: Yokoyama citation: ama: Higashida H, Zhang J, Mochida S, et al. Subtype-specific coupling with ADP-ribosyl cyclase of metabotropic glutamate receptors in retina, cervical superior ganglion and NG108-15 cells. Journal of Neurochemistry. 2003;85(5):1148-1158. doi:10.1046/j.1471-4159.2003.01751.x apa: Higashida, H., Zhang, J., Mochida, S., Chen, X., Shin, Y., Noda, M., … Yokoyama, S. (2003). Subtype-specific coupling with ADP-ribosyl cyclase of metabotropic glutamate receptors in retina, cervical superior ganglion and NG108-15 cells. Journal of Neurochemistry. Wiley-Blackwell. https://doi.org/10.1046/j.1471-4159.2003.01751.x chicago: Higashida, Haruhiro, Jia Zhang, Sumiko Mochida, Xiao Chen, Yeonsook Shin, Mami Noda, Kazi Hossain, et al. “Subtype-Specific Coupling with ADP-Ribosyl Cyclase of Metabotropic Glutamate Receptors in Retina, Cervical Superior Ganglion and NG108-15 Cells.” Journal of Neurochemistry. Wiley-Blackwell, 2003. https://doi.org/10.1046/j.1471-4159.2003.01751.x. ieee: H. Higashida et al., “Subtype-specific coupling with ADP-ribosyl cyclase of metabotropic glutamate receptors in retina, cervical superior ganglion and NG108-15 cells,” Journal of Neurochemistry, vol. 85, no. 5. Wiley-Blackwell, pp. 1148–1158, 2003. ista: Higashida H, Zhang J, Mochida S, Chen X, Shin Y, Noda M, Hossain K, Hoshi N, Hashii M, Shigemoto R, Nakanishi S, Fukuda Y, Yokoyama S. 2003. Subtype-specific coupling with ADP-ribosyl cyclase of metabotropic glutamate receptors in retina, cervical superior ganglion and NG108-15 cells. Journal of Neurochemistry. 85(5), 1148–1158. mla: Higashida, Haruhiro, et al. “Subtype-Specific Coupling with ADP-Ribosyl Cyclase of Metabotropic Glutamate Receptors in Retina, Cervical Superior Ganglion and NG108-15 Cells.” Journal of Neurochemistry, vol. 85, no. 5, Wiley-Blackwell, 2003, pp. 1148–58, doi:10.1046/j.1471-4159.2003.01751.x. short: H. Higashida, J. Zhang, S. Mochida, X. Chen, Y. Shin, M. Noda, K. Hossain, N. Hoshi, M. Hashii, R. Shigemoto, S. Nakanishi, Y. Fukuda, S. Yokoyama, Journal of Neurochemistry 85 (2003) 1148–1158. date_created: 2018-12-11T11:58:46Z date_published: 2003-06-01T00:00:00Z date_updated: 2021-01-12T06:58:42Z day: '01' doi: 10.1046/j.1471-4159.2003.01751.x extern: 1 intvolume: ' 85' issue: '5' month: '06' page: 1148 - 1158 publication: Journal of Neurochemistry publication_status: published publisher: Wiley-Blackwell publist_id: '4268' quality_controlled: 0 status: public title: Subtype-specific coupling with ADP-ribosyl cyclase of metabotropic glutamate receptors in retina, cervical superior ganglion and NG108-15 cells type: journal_article volume: 85 year: '2003' ... --- _id: '2633' abstract: - lang: eng text: The modulation of calcium channels by metabotropic glutamate receptors (mGluRs) is a key event in the fine-tuning of neurotransmitter release. Here we report that, in cerebrocortical nerve terminals of adult rats, the inhibition of glutamate release is mediated by mGluR7. In this preparation, the major component of glutamate release is supported by P/Q-type Ca2+ channels (72.7%). However, mGluR7 selectively reduced the release component that is associated with N-type Ca2+ channels (29.9%). Inhibition of P/Q channels by mGluR7 is not masked by the higher efficiency of these channels in driving glutamate release when compared with N-type channels. Thus, activation of mGluR7 failed to reduce the release associated with P/Q channels when the extracellular calcium concentration, ([Ca2+]o), was reduced from 1.3 to 0.5 mM. Through Ca2+ imaging, we show that Ca2+ channels are distributed in a heterogeneous manner in individual nerve terminals. Indeed, in this preparation, nerve terminals were observed that contain N-type (31.1%; conotoxin GVIA-sensitive) or P/Q-type (64.3%; agatoxin IVA-sensitive) channels or that were insensitive to these two toxins (4.6%). Interestingly, the great majority of the responses to L-AP4 (95.4%) were observed in nerve terminals containing N-type channels. This specific co-localization of mGluR7 and N-type Ca2+-channels could explain the failure of the receptor to inhibit the P/Q channel-associated release component and also reveal the existence of specific targeting mechanisms to localize the two proteins in the same nerve terminal subset. author: - first_name: Carmelo full_name: Millán, Carmelo last_name: Millán - first_name: Enrique full_name: Castro, Enrique G last_name: Castro - first_name: Magdalena full_name: Torres, Magdalena last_name: Torres - first_name: Ryuichi full_name: Ryuichi Shigemoto id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: José full_name: Sánchez-Prieto, José last_name: Sánchez Prieto citation: ama: Millán C, Castro E, Torres M, Shigemoto R, Sánchez Prieto J. Co-expression of metabotropic glutamate receptor 7 and N-type Ca2+ channels in single cerebrocortical nerve terminals of adult rats. Journal of Biological Chemistry. 2003;278(26):23955-23962. doi:10.1074/jbc.M211471200 apa: Millán, C., Castro, E., Torres, M., Shigemoto, R., & Sánchez Prieto, J. (2003). Co-expression of metabotropic glutamate receptor 7 and N-type Ca2+ channels in single cerebrocortical nerve terminals of adult rats. Journal of Biological Chemistry. American Society for Biochemistry and Molecular Biology. https://doi.org/10.1074/jbc.M211471200 chicago: Millán, Carmelo, Enrique Castro, Magdalena Torres, Ryuichi Shigemoto, and José Sánchez Prieto. “Co-Expression of Metabotropic Glutamate Receptor 7 and N-Type Ca2+ Channels in Single Cerebrocortical Nerve Terminals of Adult Rats.” Journal of Biological Chemistry. American Society for Biochemistry and Molecular Biology, 2003. https://doi.org/10.1074/jbc.M211471200. ieee: C. Millán, E. Castro, M. Torres, R. Shigemoto, and J. Sánchez Prieto, “Co-expression of metabotropic glutamate receptor 7 and N-type Ca2+ channels in single cerebrocortical nerve terminals of adult rats,” Journal of Biological Chemistry, vol. 278, no. 26. American Society for Biochemistry and Molecular Biology, pp. 23955–23962, 2003. ista: Millán C, Castro E, Torres M, Shigemoto R, Sánchez Prieto J. 2003. Co-expression of metabotropic glutamate receptor 7 and N-type Ca2+ channels in single cerebrocortical nerve terminals of adult rats. Journal of Biological Chemistry. 278(26), 23955–23962. mla: Millán, Carmelo, et al. “Co-Expression of Metabotropic Glutamate Receptor 7 and N-Type Ca2+ Channels in Single Cerebrocortical Nerve Terminals of Adult Rats.” Journal of Biological Chemistry, vol. 278, no. 26, American Society for Biochemistry and Molecular Biology, 2003, pp. 23955–62, doi:10.1074/jbc.M211471200. short: C. Millán, E. Castro, M. Torres, R. Shigemoto, J. Sánchez Prieto, Journal of Biological Chemistry 278 (2003) 23955–23962. date_created: 2018-12-11T11:58:47Z date_published: 2003-07-27T00:00:00Z date_updated: 2021-01-12T06:58:42Z day: '27' doi: 10.1074/jbc.M211471200 extern: 1 intvolume: ' 278' issue: '26' month: '07' page: 23955 - 23962 publication: Journal of Biological Chemistry publication_status: published publisher: American Society for Biochemistry and Molecular Biology publist_id: '4265' quality_controlled: 0 status: public title: Co-expression of metabotropic glutamate receptor 7 and N-type Ca2+ channels in single cerebrocortical nerve terminals of adult rats type: journal_article volume: 278 year: '2003' ... --- _id: '2632' abstract: - lang: eng text: In many brain regions, hyperpolarization-activated cationic currents (Ih) are involved in the generation of rhythmic activities, but the role of Ih in olfactory oscillations remains unclear. Knowledge of the cellular and subcellular distributions of hyperpolarization-activated and cyclic nucleotide-gated channel (HCN) subunits is necessary for understanding the role of Ih in olfactory network activities. Using light microscopic immunocytochemistry, we demonstrate strong HCN1 labelling of the glomerular layer and moderate staining of granule cell, internal and external plexiform layers of the rat main olfactory bulb. In the glomerular layer, among many unlabelled neurons, two distinct subpopulations of juxtaglomerular cells are labelled. Approximately 10% of the juxtaglomerular cells strongly express HCN1. These small diameter cells are immunoreactive for GABA and comprise a subpopulation of periglomerular cells. An additional subset of juxtaglomerular cells (≈ 1%) expresses low levels of HCN1. They are large in diameter, GABA immunonegative but immunopositive for vesicular glutamate transporter 2, characterizing them as external tufted cells. Quantitative immunogold localization revealed that the somatic plasma membranes of periglomerular cells contain approximately four times more HCN1 labelling than those of external tufted cells. Unlike in cortical pyramidal cells, immunogold density for HCN1 does not significantly differ in somatic and dendritic plasma membranes of external tufted cells, indicating that post-synaptic potentials arriving at proximal and distal dendrites are modulated by the same density of I h. Our results demonstrate a cell type-dependent expression of HCN1 in the olfactory bulb and predict a differential contribution of distinct juxtaglomerular cell types to network oscillations. author: - first_name: Noémi full_name: Holderith, Noémi B last_name: Holderith - first_name: Ryuichi full_name: Ryuichi Shigemoto id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Zoltán full_name: Nusser, Zoltán last_name: Nusser citation: ama: Holderith N, Shigemoto R, Nusser Z. Cell type-dependent expression of HCN1 in the main olfactory bulb. European Journal of Neuroscience. 2003;18(2):344-354. doi:10.1046/j.1460-9568.2003.02756.x apa: Holderith, N., Shigemoto, R., & Nusser, Z. (2003). Cell type-dependent expression of HCN1 in the main olfactory bulb. European Journal of Neuroscience. Wiley-Blackwell. https://doi.org/10.1046/j.1460-9568.2003.02756.x chicago: Holderith, Noémi, Ryuichi Shigemoto, and Zoltán Nusser. “Cell Type-Dependent Expression of HCN1 in the Main Olfactory Bulb.” European Journal of Neuroscience. Wiley-Blackwell, 2003. https://doi.org/10.1046/j.1460-9568.2003.02756.x. ieee: N. Holderith, R. Shigemoto, and Z. Nusser, “Cell type-dependent expression of HCN1 in the main olfactory bulb,” European Journal of Neuroscience, vol. 18, no. 2. Wiley-Blackwell, pp. 344–354, 2003. ista: Holderith N, Shigemoto R, Nusser Z. 2003. Cell type-dependent expression of HCN1 in the main olfactory bulb. European Journal of Neuroscience. 18(2), 344–354. mla: Holderith, Noémi, et al. “Cell Type-Dependent Expression of HCN1 in the Main Olfactory Bulb.” European Journal of Neuroscience, vol. 18, no. 2, Wiley-Blackwell, 2003, pp. 344–54, doi:10.1046/j.1460-9568.2003.02756.x. short: N. Holderith, R. Shigemoto, Z. Nusser, European Journal of Neuroscience 18 (2003) 344–354. date_created: 2018-12-11T11:58:47Z date_published: 2003-07-01T00:00:00Z date_updated: 2021-01-12T06:58:42Z day: '01' doi: 10.1046/j.1460-9568.2003.02756.x extern: 1 intvolume: ' 18' issue: '2' month: '07' page: 344 - 354 publication: European Journal of Neuroscience publication_status: published publisher: Wiley-Blackwell publist_id: '4266' quality_controlled: 0 status: public title: Cell type-dependent expression of HCN1 in the main olfactory bulb type: journal_article volume: 18 year: '2003' ... --- _id: '2635' abstract: - lang: eng text: Metabotropic GABAB receptors mediate slow inhibitory effects presynaptically and postsynaptically. Using preembedding immunohistochemical methods combined with quantitative analysis of GABAB receptor subunit immunoreactivity, this study provides a detailed description of the cellular and subcellular localization of GABAB1a/b and GABA B2 in the rat hippocampus. At the light microscopic level, an overlapping distribution of GABAB1a/b and GABAB2 was revealed in the dendritic layers of the hippocampus. In addition, expression of the GABAB1a/b subunit was found in somata of CA1 pyramidal cells and of a subset of GABAergic interneurons. At the electron microscopic level, immunoreactivity for both subunits was observed on presynaptic and, more abundantly, on postsynaptic elements. Presynaptically, subunits were mainly detected in the extrasynaptic membrane and occasionally over the presynaptic membrane specialization of putative glutamatergic and, to a lesser extent, GABAergic axon terminals. Postsynaptically, the majority of GABAB receptor subunits were localized to the extrasynaptic plasma membrane of spines and dendritic shafts of principal cells and shafts of interneuron dendrites. Quantitative analysis revealed enrichment of GABAB1a/b around putative glutamatergic synapses on spines and an even distribution on dendritic shafts of pyramidal cells contacted by GABAergic boutons. The association of GABAB receptors with glutamatergic synapses at both presynaptic and postsynaptic sides indicates their intimate involvement in the modulation of glutamatergic neurotransmission. The dominant extrasynaptic localization of GABAB receptor subunits suggests that their activation is dependent on spillover of GABA requiring simultaneous activity of populations of GABAergic cells as it occurs during population oscillations or epileptic seizures. author: - first_name: Ákos full_name: Kulik, Ákos last_name: Kulik - first_name: Imre full_name: Vida, Imre last_name: Vida - first_name: Rafael full_name: Luján, Rafael last_name: Luján - first_name: Carola full_name: Haas, Carola A last_name: Haas - first_name: Guillermina full_name: López-Bendito, Guillermina last_name: López Bendito - first_name: Ryuichi full_name: Ryuichi Shigemoto id: 499F3ABC-F248-11E8-B48F-1D18A9856A87 last_name: Shigemoto orcid: 0000-0001-8761-9444 - first_name: Michael full_name: Frotscher, Michael last_name: Frotscher citation: ama: Kulik Á, Vida I, Luján R, et al. Subcellular Localization of Metabotropic GABAB Receptor Subunits GABAB1a/b and GABAB2 in the Rat Hippocampus. Journal of Neuroscience. 2003;23(35):11026-11035. apa: Kulik, Á., Vida, I., Luján, R., Haas, C., López Bendito, G., Shigemoto, R., & Frotscher, M. (2003). Subcellular Localization of Metabotropic GABAB Receptor Subunits GABAB1a/b and GABAB2 in the Rat Hippocampus. Journal of Neuroscience. Society for Neuroscience. chicago: Kulik, Ákos, Imre Vida, Rafael Luján, Carola Haas, Guillermina López Bendito, Ryuichi Shigemoto, and Michael Frotscher. “Subcellular Localization of Metabotropic GABAB Receptor Subunits GABAB1a/b and GABAB2 in the Rat Hippocampus.” Journal of Neuroscience. Society for Neuroscience, 2003. ieee: Á. Kulik et al., “Subcellular Localization of Metabotropic GABAB Receptor Subunits GABAB1a/b and GABAB2 in the Rat Hippocampus,” Journal of Neuroscience, vol. 23, no. 35. Society for Neuroscience, pp. 11026–11035, 2003. ista: Kulik Á, Vida I, Luján R, Haas C, López Bendito G, Shigemoto R, Frotscher M. 2003. Subcellular Localization of Metabotropic GABAB Receptor Subunits GABAB1a/b and GABAB2 in the Rat Hippocampus. Journal of Neuroscience. 23(35), 11026–11035. mla: Kulik, Ákos, et al. “Subcellular Localization of Metabotropic GABAB Receptor Subunits GABAB1a/b and GABAB2 in the Rat Hippocampus.” Journal of Neuroscience, vol. 23, no. 35, Society for Neuroscience, 2003, pp. 11026–35. short: Á. Kulik, I. Vida, R. Luján, C. Haas, G. López Bendito, R. Shigemoto, M. Frotscher, Journal of Neuroscience 23 (2003) 11026–11035. date_created: 2018-12-11T11:58:47Z date_published: 2003-12-03T00:00:00Z date_updated: 2021-01-12T06:58:43Z day: '03' extern: 1 intvolume: ' 23' issue: '35' month: '12' page: 11026 - 11035 publication: Journal of Neuroscience publication_status: published publisher: Society for Neuroscience publist_id: '4263' quality_controlled: 0 status: public title: Subcellular Localization of Metabotropic GABAB Receptor Subunits GABAB1a/b and GABAB2 in the Rat Hippocampus type: journal_article volume: 23 year: '2003' ...