[{"quality_controlled":0,"day":"01","issue":"6","year":"2008","_id":"225","publication_status":"published","status":"public","date_created":"2018-12-11T11:45:18Z","doi":"10.1112/S0010437X08003692","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","publisher":"Cambridge University Press","citation":{"ama":"De La Bretèche R, Browning TD. Binary linear forms as sums of two squares. <i>Compositio Mathematica</i>. 2008;144(6):1375-1402. doi:<a href=\"https://doi.org/10.1112/S0010437X08003692\">10.1112/S0010437X08003692</a>","chicago":"De La Bretèche, Régis, and Timothy D Browning. “Binary Linear Forms as Sums of Two Squares.” <i>Compositio Mathematica</i>. Cambridge University Press, 2008. <a href=\"https://doi.org/10.1112/S0010437X08003692\">https://doi.org/10.1112/S0010437X08003692</a>.","short":"R. De La Bretèche, T.D. Browning, Compositio Mathematica 144 (2008) 1375–1402.","mla":"De La Bretèche, Régis, and Timothy D. Browning. “Binary Linear Forms as Sums of Two Squares.” <i>Compositio Mathematica</i>, vol. 144, no. 6, Cambridge University Press, 2008, pp. 1375–402, doi:<a href=\"https://doi.org/10.1112/S0010437X08003692\">10.1112/S0010437X08003692</a>.","ieee":"R. De La Bretèche and T. D. Browning, “Binary linear forms as sums of two squares,” <i>Compositio Mathematica</i>, vol. 144, no. 6. Cambridge University Press, pp. 1375–1402, 2008.","apa":"De La Bretèche, R., &#38; Browning, T. D. (2008). Binary linear forms as sums of two squares. <i>Compositio Mathematica</i>. Cambridge University Press. <a href=\"https://doi.org/10.1112/S0010437X08003692\">https://doi.org/10.1112/S0010437X08003692</a>","ista":"De La Bretèche R, Browning TD. 2008. Binary linear forms as sums of two squares. Compositio Mathematica. 144(6), 1375–1402."},"type":"journal_article","date_updated":"2021-01-12T06:56:17Z","month":"11","extern":1,"intvolume":"       144","page":"1375 - 1402","date_published":"2008-11-01T00:00:00Z","volume":144,"abstract":[{"text":"We revisit recent work of Heath-Brown on the average order of the quantity r(L1(x))⋯r(L4(x)), for suitable binary linear forms L1,...,L4, as x=(x1,x2) ranges over quite general regions in ℤ2. In addition to improving the error term in Heath-Browns estimate, we generalise his result to cover a wider class of linear forms.","lang":"eng"}],"publication":"Compositio Mathematica","publist_id":"7687","author":[{"last_name":"De La Bretèche","first_name":"Régis","full_name":"de la Bretèche, Régis"},{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","last_name":"Browning","first_name":"Timothy D"}],"title":"Binary linear forms as sums of two squares"},{"date_published":"2008-08-01T00:00:00Z","abstract":[{"lang":"eng","text":"We present a review of recent work on the mathematical aspects of the BCS gap equation, covering our results of Ref. 9 as well our recent joint work with Hamza and Solovej and with Frank and Naboko, respectively. In addition, we mention some related new results."}],"author":[{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"}],"publist_id":"4595","title":" Spectral properties of the BCS gap equation of superfluidity","extern":1,"page":"117 - 136","conference":{"name":"QMath: Mathematical Results in Quantum Physics"},"publication_status":"published","_id":"2331","status":"public","date_created":"2018-12-11T11:57:02Z","doi":"10.1142/9789812832382_0009","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0802.0446"}],"publisher":"World Scientific Publishing","citation":{"apa":"Hainzl, C., &#38; Seiringer, R. (2008).  Spectral properties of the BCS gap equation of superfluidity (pp. 117–136). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. <a href=\"https://doi.org/10.1142/9789812832382_0009\">https://doi.org/10.1142/9789812832382_0009</a>","ista":"Hainzl C, Seiringer R. 2008.  Spectral properties of the BCS gap equation of superfluidity. QMath: Mathematical Results in Quantum Physics, 117–136.","ama":"Hainzl C, Seiringer R.  Spectral properties of the BCS gap equation of superfluidity. In: World Scientific Publishing; 2008:117-136. doi:<a href=\"https://doi.org/10.1142/9789812832382_0009\">10.1142/9789812832382_0009</a>","chicago":"Hainzl, Christian, and Robert Seiringer. “ Spectral Properties of the BCS Gap Equation of Superfluidity,” 117–36. World Scientific Publishing, 2008. <a href=\"https://doi.org/10.1142/9789812832382_0009\">https://doi.org/10.1142/9789812832382_0009</a>.","short":"C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.","ieee":"C. Hainzl and R. Seiringer, “ Spectral properties of the BCS gap equation of superfluidity,” presented at the QMath: Mathematical Results in Quantum Physics, 2008, pp. 117–136.","mla":"Hainzl, Christian, and Robert Seiringer. <i> Spectral Properties of the BCS Gap Equation of Superfluidity</i>. World Scientific Publishing, 2008, pp. 117–36, doi:<a href=\"https://doi.org/10.1142/9789812832382_0009\">10.1142/9789812832382_0009</a>."},"type":"conference","month":"08","date_updated":"2021-01-12T06:56:50Z","quality_controlled":0,"day":"01","year":"2008","oa":1},{"year":"2008","day":"30","quality_controlled":0,"oa":1,"main_file_link":[{"url":"http://arxiv.org/abs/0801.0427","open_access":"1"}],"status":"public","doi":"10.1142/9789812832382_0017","date_created":"2018-12-11T11:57:02Z","publication_status":"published","_id":"2332","date_updated":"2021-01-12T06:56:50Z","month":"12","type":"conference","citation":{"short":"R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.","mla":"Seiringer, Robert. <i>Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases</i>. World Scientific Publishing, 2008, pp. 241–54, doi:<a href=\"https://doi.org/10.1142/9789812832382_0017\">10.1142/9789812832382_0017</a>.","ieee":"R. Seiringer, “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” presented at the QMath: Mathematical Results in Quantum Physics, 2008, pp. 241–254.","ama":"Seiringer R. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. In: World Scientific Publishing; 2008:241-254. doi:<a href=\"https://doi.org/10.1142/9789812832382_0017\">10.1142/9789812832382_0017</a>","chicago":"Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” 241–54. World Scientific Publishing, 2008. <a href=\"https://doi.org/10.1142/9789812832382_0017\">https://doi.org/10.1142/9789812832382_0017</a>.","ista":"Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. QMath: Mathematical Results in Quantum Physics, 241–254.","apa":"Seiringer, R. (2008). Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases (pp. 241–254). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. <a href=\"https://doi.org/10.1142/9789812832382_0017\">https://doi.org/10.1142/9789812832382_0017</a>"},"publisher":"World Scientific Publishing","extern":1,"page":"241 - 254","conference":{"name":"QMath: Mathematical Results in Quantum Physics"},"abstract":[{"text":"We present a rigorous proof of the appearance of quantized vortices in dilute trapped Bose gases with repulsive two-body interactions subject to rotation, which was obtained recently in joint work with Elliott Lieb.14 Starting from the many-body Schrödinger equation, we show that the ground state of such gases is, in a suitable limit, well described by the nonlinear Gross-Pitaevskii equation. In the case of axially symmetric traps, our results show that the appearance of quantized vortices causes spontaneous symmetry breaking in the ground state.","lang":"eng"}],"date_published":"2008-12-30T00:00:00Z","title":"Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases","author":[{"first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"publist_id":"4594"},{"page":"595 - 636","intvolume":"       279","extern":1,"title":"Free energy of a dilute Bose gas: Lower bound","author":[{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"publist_id":"4551","volume":279,"abstract":[{"text":"A lower bound is derived on the free energy (per unit volume) of a homogeneous Bose gas at density Q and temperature T. In the dilute regime, i.e., when a3 1, where a denotes the scattering length of the pair-interaction potential, our bound differs to leading order from the expression for non-interacting particles by the term 4πa(2 2}-[ - c]2+). Here, c(T) denotes the critical density for Bose-Einstein condensation (for the non-interacting gas), and [ · ]+ = max{ ·, 0} denotes the positive part. Our bound is uniform in the temperature up to temperatures of the order of the critical temperature, i.e., T ~ 2/3 or smaller. One of the key ingredients in the proof is the use of coherent states to extend the method introduced in [17] for estimating correlations to temperatures below the critical one.","lang":"eng"}],"publication":"Communications in Mathematical Physics","date_published":"2008-05-01T00:00:00Z","oa":1,"year":"2008","quality_controlled":0,"day":"01","issue":"3","type":"journal_article","date_updated":"2021-01-12T06:57:06Z","month":"05","publisher":"Springer","citation":{"ama":"Seiringer R. Free energy of a dilute Bose gas: Lower bound. <i>Communications in Mathematical Physics</i>. 2008;279(3):595-636. doi:<a href=\"https://doi.org/10.1007/s00220-008-0428-2\">10.1007/s00220-008-0428-2</a>","chicago":"Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” <i>Communications in Mathematical Physics</i>. Springer, 2008. <a href=\"https://doi.org/10.1007/s00220-008-0428-2\">https://doi.org/10.1007/s00220-008-0428-2</a>.","short":"R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.","ieee":"R. Seiringer, “Free energy of a dilute Bose gas: Lower bound,” <i>Communications in Mathematical Physics</i>, vol. 279, no. 3. Springer, pp. 595–636, 2008.","mla":"Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” <i>Communications in Mathematical Physics</i>, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:<a href=\"https://doi.org/10.1007/s00220-008-0428-2\">10.1007/s00220-008-0428-2</a>.","apa":"Seiringer, R. (2008). Free energy of a dilute Bose gas: Lower bound. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-008-0428-2\">https://doi.org/10.1007/s00220-008-0428-2</a>","ista":"Seiringer R. 2008. Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics. 279(3), 595–636."},"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0608069"}],"_id":"2374","publication_status":"published","date_created":"2018-12-11T11:57:17Z","doi":"10.1007/s00220-008-0428-2","status":"public"},{"oa":1,"year":"2008","issue":"18","day":"28","quality_controlled":0,"date_updated":"2021-01-12T06:57:06Z","month":"05","type":"journal_article","publisher":"American Physical Society","citation":{"ama":"Hainzl C, Seiringer R. Critical temperature and energy gap for the BCS equation. <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2008;77(18). doi:<a href=\"https://doi.org/10.1103/PhysRevB.77.184517\">10.1103/PhysRevB.77.184517</a>","chicago":"Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap for the BCS Equation.” <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society, 2008. <a href=\"https://doi.org/10.1103/PhysRevB.77.184517\">https://doi.org/10.1103/PhysRevB.77.184517</a>.","short":"C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).","mla":"Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap for the BCS Equation.” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 77, no. 18, American Physical Society, 2008, doi:<a href=\"https://doi.org/10.1103/PhysRevB.77.184517\">10.1103/PhysRevB.77.184517</a>.","ieee":"C. Hainzl and R. Seiringer, “Critical temperature and energy gap for the BCS equation,” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 77, no. 18. American Physical Society, 2008.","apa":"Hainzl, C., &#38; Seiringer, R. (2008). Critical temperature and energy gap for the BCS equation. <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.77.184517\">https://doi.org/10.1103/PhysRevB.77.184517</a>","ista":"Hainzl C, Seiringer R. 2008. Critical temperature and energy gap for the BCS equation. Physical Review B - Condensed Matter and Materials Physics. 77(18)."},"main_file_link":[{"url":"http://arxiv.org/abs/0801.4159","open_access":"1"}],"date_created":"2018-12-11T11:57:18Z","doi":"10.1103/PhysRevB.77.184517","status":"public","publication_status":"published","_id":"2376","intvolume":"        77","extern":1,"title":"Critical temperature and energy gap for the BCS equation","publist_id":"4550","author":[{"full_name":"Hainzl, Christian","first_name":"Christian","last_name":"Hainzl"},{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publication":"Physical Review B - Condensed Matter and Materials Physics","abstract":[{"lang":"eng","text":"We derive upper and lower bounds on the critical temperature Tc and the energy gap Ξ (at zero temperature) for the BCS gap equation, describing spin- 1 2 fermions interacting via a local two-body interaction potential λV(x). At weak coupling λ 1 and under appropriate assumptions on V(x), our bounds show that Tc ∼A exp(-B/λ) and Ξ∼C exp(-B/λ) for some explicit coefficients A, B, and C depending on the interaction V(x) and the chemical potential μ. The ratio A/C turns out to be a universal constant, independent of both V(x) and μ. Our analysis is valid for any μ; for small μ, or low density, our formulas reduce to well-known expressions involving the scattering length of V(x)."}],"volume":77,"date_published":"2008-05-28T00:00:00Z"},{"year":"2008","day":"01","issue":"2-3","quality_controlled":0,"oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0803.3324"}],"doi":"10.1007/s11005-008-0242-y","status":"public","date_created":"2018-12-11T11:57:19Z","_id":"2377","publication_status":"published","month":"06","date_updated":"2021-01-12T06:57:07Z","type":"journal_article","citation":{"chicago":"Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for Potentials with Negative Scattering Length.” <i>Letters in Mathematical Physics</i>. Springer, 2008. <a href=\"https://doi.org/10.1007/s11005-008-0242-y\">https://doi.org/10.1007/s11005-008-0242-y</a>.","ama":"Hainzl C, Seiringer R. The BCS critical temperature for potentials with negative scattering length. <i>Letters in Mathematical Physics</i>. 2008;84(2-3):99-107. doi:<a href=\"https://doi.org/10.1007/s11005-008-0242-y\">10.1007/s11005-008-0242-y</a>","ieee":"C. Hainzl and R. Seiringer, “The BCS critical temperature for potentials with negative scattering length,” <i>Letters in Mathematical Physics</i>, vol. 84, no. 2–3. Springer, pp. 99–107, 2008.","mla":"Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for Potentials with Negative Scattering Length.” <i>Letters in Mathematical Physics</i>, vol. 84, no. 2–3, Springer, 2008, pp. 99–107, doi:<a href=\"https://doi.org/10.1007/s11005-008-0242-y\">10.1007/s11005-008-0242-y</a>.","short":"C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.","apa":"Hainzl, C., &#38; Seiringer, R. (2008). The BCS critical temperature for potentials with negative scattering length. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-008-0242-y\">https://doi.org/10.1007/s11005-008-0242-y</a>","ista":"Hainzl C, Seiringer R. 2008. The BCS critical temperature for potentials with negative scattering length. Letters in Mathematical Physics. 84(2–3), 99–107."},"publisher":"Springer","intvolume":"        84","extern":1,"page":"99 - 107","publication":"Letters in Mathematical Physics","abstract":[{"lang":"eng","text":"We prove that the critical temperature for the BCS gap equation is given by T c = μ ( 8\\π e γ-2+ o(1)) e π/(2μa) in the low density limit μ→ 0, with γ denoting Euler's constant. The formula holds for a suitable class of interaction potentials with negative scattering length a in the absence of bound states."}],"volume":84,"date_published":"2008-06-01T00:00:00Z","title":"The BCS critical temperature for potentials with negative scattering length","publist_id":"4548","author":[{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"}]},{"issue":"6","day":"01","quality_controlled":0,"year":"2008","oa":1,"status":"public","doi":"10.1007/s10955-008-9527-x","date_created":"2018-12-11T11:57:19Z","_id":"2378","publication_status":"published","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0712.2810"}],"citation":{"apa":"Seiringer, R., &#38; Yin, J. (2008). Ground state energy of the low density hubbard model. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-008-9527-x\">https://doi.org/10.1007/s10955-008-9527-x</a>","ista":"Seiringer R, Yin J. 2008. Ground state energy of the low density hubbard model. Journal of Statistical Physics. 131(6), 1139–1154.","chicago":"Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.” <i>Journal of Statistical Physics</i>. Springer, 2008. <a href=\"https://doi.org/10.1007/s10955-008-9527-x\">https://doi.org/10.1007/s10955-008-9527-x</a>.","ama":"Seiringer R, Yin J. Ground state energy of the low density hubbard model. <i>Journal of Statistical Physics</i>. 2008;131(6):1139-1154. doi:<a href=\"https://doi.org/10.1007/s10955-008-9527-x\">10.1007/s10955-008-9527-x</a>","ieee":"R. Seiringer and J. Yin, “Ground state energy of the low density hubbard model,” <i>Journal of Statistical Physics</i>, vol. 131, no. 6. Springer, pp. 1139–1154, 2008.","mla":"Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.” <i>Journal of Statistical Physics</i>, vol. 131, no. 6, Springer, 2008, pp. 1139–54, doi:<a href=\"https://doi.org/10.1007/s10955-008-9527-x\">10.1007/s10955-008-9527-x</a>.","short":"R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154."},"publisher":"Springer","date_updated":"2021-01-12T06:57:07Z","month":"06","type":"journal_article","extern":1,"intvolume":"       131","page":"1139 - 1154","date_published":"2008-06-01T00:00:00Z","publication":"Journal of Statistical Physics","abstract":[{"lang":"eng","text":"We derive a lower bound on the ground state energy of the Hubbard model for given value of the total spin. In combination with the upper bound derived previously by Giuliani (J. Math. Phys. 48:023302, [2007]), our result proves that in the low density limit the leading order correction compared to the ground state energy of a non-interacting lattice Fermi gas is given by 8πaσ uσ d , where σ u(d) denotes the density of the spin-up (down) particles, and a is the scattering length of the contact interaction potential. This result extends previous work on the corresponding continuum model to the lattice case."}],"volume":131,"author":[{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Yin, Jun","first_name":"Jun","last_name":"Yin"}],"publist_id":"4549","title":"Ground state energy of the low density hubbard model"},{"page":"925 - 950","intvolume":"        21","extern":1,"title":"Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators","publist_id":"4546","author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert L"},{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"publication":"Journal of the American Mathematical Society","volume":21,"date_published":"2008-01-01T00:00:00Z","oa":1,"year":"2008","issue":"4","day":"01","quality_controlled":0,"date_updated":"2021-01-12T06:57:07Z","month":"01","type":"journal_article","publisher":"American Mathematical Society","citation":{"apa":"Frank, R., Lieb, É., &#38; Seiringer, R. (2008). Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. <i>Journal of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/S0894-0347-07-00582-6\">https://doi.org/10.1090/S0894-0347-07-00582-6</a>","ista":"Frank R, Lieb É, Seiringer R. 2008. Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Journal of the American Mathematical Society. 21(4), 925–950.","chicago":"Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.” <i>Journal of the American Mathematical Society</i>. American Mathematical Society, 2008. <a href=\"https://doi.org/10.1090/S0894-0347-07-00582-6\">https://doi.org/10.1090/S0894-0347-07-00582-6</a>.","ama":"Frank R, Lieb É, Seiringer R. Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. <i>Journal of the American Mathematical Society</i>. 2008;21(4):925-950. doi:<a href=\"https://doi.org/10.1090/S0894-0347-07-00582-6\">10.1090/S0894-0347-07-00582-6</a>","ieee":"R. Frank, É. Lieb, and R. Seiringer, “Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators,” <i>Journal of the American Mathematical Society</i>, vol. 21, no. 4. American Mathematical Society, pp. 925–950, 2008.","mla":"Frank, Rupert, et al. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.” <i>Journal of the American Mathematical Society</i>, vol. 21, no. 4, American Mathematical Society, 2008, pp. 925–50, doi:<a href=\"https://doi.org/10.1090/S0894-0347-07-00582-6\">10.1090/S0894-0347-07-00582-6</a>.","short":"R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950."},"main_file_link":[{"url":"http://arxiv.org/abs/math/0610593","open_access":"1"}],"doi":"10.1090/S0894-0347-07-00582-6","status":"public","date_created":"2018-12-11T11:57:19Z","_id":"2379","publication_status":"published"},{"_id":"2380","publication_status":"published","status":"public","doi":"10.1007/s00220-008-0489-2","date_created":"2018-12-11T11:57:20Z","main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0703086","open_access":"1"}],"citation":{"ista":"Hainzl C, Hamza E, Seiringer R, Solovej J. 2008. The BCS functional for general pair interactions. Communications in Mathematical Physics. 281(2), 349–367.","apa":"Hainzl, C., Hamza, E., Seiringer, R., &#38; Solovej, J. (2008). The BCS functional for general pair interactions. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-008-0489-2\">https://doi.org/10.1007/s00220-008-0489-2</a>","ieee":"C. Hainzl, E. Hamza, R. Seiringer, and J. Solovej, “The BCS functional for general pair interactions,” <i>Communications in Mathematical Physics</i>, vol. 281, no. 2. Springer, pp. 349–367, 2008.","mla":"Hainzl, Christian, et al. “The BCS Functional for General Pair Interactions.” <i>Communications in Mathematical Physics</i>, vol. 281, no. 2, Springer, 2008, pp. 349–67, doi:<a href=\"https://doi.org/10.1007/s00220-008-0489-2\">10.1007/s00220-008-0489-2</a>.","short":"C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.","chicago":"Hainzl, Christian, Eman Hamza, Robert Seiringer, and Jan Solovej. “The BCS Functional for General Pair Interactions.” <i>Communications in Mathematical Physics</i>. Springer, 2008. <a href=\"https://doi.org/10.1007/s00220-008-0489-2\">https://doi.org/10.1007/s00220-008-0489-2</a>.","ama":"Hainzl C, Hamza E, Seiringer R, Solovej J. The BCS functional for general pair interactions. <i>Communications in Mathematical Physics</i>. 2008;281(2):349-367. doi:<a href=\"https://doi.org/10.1007/s00220-008-0489-2\">10.1007/s00220-008-0489-2</a>"},"publisher":"Springer","type":"journal_article","month":"07","date_updated":"2021-01-12T06:57:08Z","quality_controlled":0,"day":"01","issue":"2","year":"2008","oa":1,"date_published":"2008-07-01T00:00:00Z","volume":281,"publication":"Communications in Mathematical Physics","abstract":[{"text":"The Bardeen-Cooper-Schrieffer (BCS) functional has recently received renewed attention as a description of fermionic gases interacting with local pairwise interactions. We present here a rigorous analysis of the BCS functional for general pair interaction potentials. For both zero and positive temperature, we show that the existence of a non-trivial solution of the nonlinear BCS gap equation is equivalent to the existence of a negative eigenvalue of a certain linear operator. From this we conclude the existence of a critical temperature below which the BCS pairing wave function does not vanish identically. For attractive potentials, we prove that the critical temperature is non-zero and exponentially small in the strength of the potential.","lang":"eng"}],"author":[{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"full_name":"Hamza, Eman","last_name":"Hamza","first_name":"Eman"},{"first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"}],"publist_id":"4547","title":"The BCS functional for general pair interactions","extern":1,"intvolume":"       281","page":"349 - 367"},{"volume":255,"abstract":[{"text":"We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces. To do so, we develop a non-linear and non-local version of the ground state representation, which even yields a remainder term. From the sharp Hardy inequality we deduce the sharp constant in a Sobolev embedding which is optimal in the Lorentz scale. In the appendix, we characterize the cases of equality in the rearrangement inequality in fractional Sobolev spaces.","lang":"eng"}],"publication":"Journal of Functional Analysis","date_published":"2008-12-15T00:00:00Z","title":"Non-linear ground state representations and sharp Hardy inequalities","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publist_id":"4543","intvolume":"       255","extern":1,"page":"3407 - 3430","main_file_link":[{"url":"http://arxiv.org/abs/0803.0503","open_access":"1"}],"_id":"2381","publication_status":"published","status":"public","date_created":"2018-12-11T11:57:20Z","doi":"10.1016/j.jfa.2008.05.015","type":"journal_article","month":"12","date_updated":"2021-01-12T06:57:08Z","publisher":"Academic Press","citation":{"apa":"Frank, R., &#38; Seiringer, R. (2008). Non-linear ground state representations and sharp Hardy inequalities. <i>Journal of Functional Analysis</i>. Academic Press. <a href=\"https://doi.org/10.1016/j.jfa.2008.05.015\">https://doi.org/10.1016/j.jfa.2008.05.015</a>","ista":"Frank R, Seiringer R. 2008. Non-linear ground state representations and sharp Hardy inequalities. Journal of Functional Analysis. 255(12), 3407–3430.","ama":"Frank R, Seiringer R. Non-linear ground state representations and sharp Hardy inequalities. <i>Journal of Functional Analysis</i>. 2008;255(12):3407-3430. doi:<a href=\"https://doi.org/10.1016/j.jfa.2008.05.015\">10.1016/j.jfa.2008.05.015</a>","chicago":"Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations and Sharp Hardy Inequalities.” <i>Journal of Functional Analysis</i>. Academic Press, 2008. <a href=\"https://doi.org/10.1016/j.jfa.2008.05.015\">https://doi.org/10.1016/j.jfa.2008.05.015</a>.","short":"R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.","mla":"Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations and Sharp Hardy Inequalities.” <i>Journal of Functional Analysis</i>, vol. 255, no. 12, Academic Press, 2008, pp. 3407–30, doi:<a href=\"https://doi.org/10.1016/j.jfa.2008.05.015\">10.1016/j.jfa.2008.05.015</a>.","ieee":"R. Frank and R. Seiringer, “Non-linear ground state representations and sharp Hardy inequalities,” <i>Journal of Functional Analysis</i>, vol. 255, no. 12. Academic Press, pp. 3407–3430, 2008."},"year":"2008","quality_controlled":0,"day":"15","issue":"12","oa":1},{"date_published":"2008-12-01T00:00:00Z","publication":"Communications in Mathematical Physics","abstract":[{"lang":"eng","text":"We show that the Lieb-Liniger model for one-dimensional bosons with repulsive δ-function interaction can be rigorously derived via a scaling limit from a dilute three-dimensional Bose gas with arbitrary repulsive interaction potential of finite scattering length. For this purpose, we prove bounds on both the eigenvalues and corresponding eigenfunctions of three-dimensional bosons in strongly elongated traps and relate them to the corresponding quantities in the Lieb-Liniger model. In particular, if both the scattering length a and the radius r of the cylindrical trap go to zero, the Lieb-Liniger model with coupling constant g ∼ a/r 2 is derived. Our bounds are uniform in g in the whole parameter range 0 ≤ g ≤ ∞, and apply to the Hamiltonian for three-dimensional bosons in a spectral window of size ∼ r -2 above the ground state energy."}],"volume":284,"author":[{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jun","last_name":"Yin","full_name":"Yin, Jun"}],"publist_id":"4544","title":"The Lieb-Liniger model as a limit of dilute bosons in three dimensions","extern":1,"intvolume":"       284","page":"459 - 479","doi":"10.1007/s00220-008-0521-6","date_created":"2018-12-11T11:57:21Z","status":"public","_id":"2382","publication_status":"published","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0709.4022"}],"citation":{"ista":"Seiringer R, Yin J. 2008. The Lieb-Liniger model as a limit of dilute bosons in three dimensions. Communications in Mathematical Physics. 284(2), 459–479.","apa":"Seiringer, R., &#38; Yin, J. (2008). The Lieb-Liniger model as a limit of dilute bosons in three dimensions. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-008-0521-6\">https://doi.org/10.1007/s00220-008-0521-6</a>","short":"R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.","mla":"Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions.” <i>Communications in Mathematical Physics</i>, vol. 284, no. 2, Springer, 2008, pp. 459–79, doi:<a href=\"https://doi.org/10.1007/s00220-008-0521-6\">10.1007/s00220-008-0521-6</a>.","ieee":"R. Seiringer and J. Yin, “The Lieb-Liniger model as a limit of dilute bosons in three dimensions,” <i>Communications in Mathematical Physics</i>, vol. 284, no. 2. Springer, pp. 459–479, 2008.","ama":"Seiringer R, Yin J. The Lieb-Liniger model as a limit of dilute bosons in three dimensions. <i>Communications in Mathematical Physics</i>. 2008;284(2):459-479. doi:<a href=\"https://doi.org/10.1007/s00220-008-0521-6\">10.1007/s00220-008-0521-6</a>","chicago":"Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions.” <i>Communications in Mathematical Physics</i>. Springer, 2008. <a href=\"https://doi.org/10.1007/s00220-008-0521-6\">https://doi.org/10.1007/s00220-008-0521-6</a>."},"publisher":"Springer","month":"12","date_updated":"2021-01-12T06:57:08Z","type":"journal_article","day":"01","issue":"2","quality_controlled":0,"year":"2008","oa":1},{"issue":"10","day":"01","quality_controlled":0,"year":"2008","oa":1,"status":"public","doi":"10.1142/S0129055X08003547","date_created":"2018-12-11T11:57:21Z","publication_status":"published","_id":"2383","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0802.4054"}],"publisher":"World Scientific Publishing","citation":{"ama":"Hainzl C, Lewin M, Seiringer R. A nonlinear model for relativistic electrons at positive temperature. <i>Reviews in Mathematical Physics</i>. 2008;20(10):1283-1307. doi:<a href=\"https://doi.org/10.1142/S0129055X08003547\">10.1142/S0129055X08003547</a>","chicago":"Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2008. <a href=\"https://doi.org/10.1142/S0129055X08003547\">https://doi.org/10.1142/S0129055X08003547</a>.","short":"C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.","mla":"Hainzl, Christian, et al. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” <i>Reviews in Mathematical Physics</i>, vol. 20, no. 10, World Scientific Publishing, 2008, pp. 1283–307, doi:<a href=\"https://doi.org/10.1142/S0129055X08003547\">10.1142/S0129055X08003547</a>.","ieee":"C. Hainzl, M. Lewin, and R. Seiringer, “A nonlinear model for relativistic electrons at positive temperature,” <i>Reviews in Mathematical Physics</i>, vol. 20, no. 10. World Scientific Publishing, pp. 1283–1307, 2008.","apa":"Hainzl, C., Lewin, M., &#38; Seiringer, R. (2008). A nonlinear model for relativistic electrons at positive temperature. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X08003547\">https://doi.org/10.1142/S0129055X08003547</a>","ista":"Hainzl C, Lewin M, Seiringer R. 2008. A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics. 20(10), 1283–1307."},"month":"11","date_updated":"2021-01-12T06:57:09Z","type":"journal_article","extern":1,"intvolume":"        20","page":"1283 - 1307","date_published":"2008-11-01T00:00:00Z","publication":"Reviews in Mathematical Physics","abstract":[{"text":"We study the relativistic electron-positron field at positive temperature in the Hartree-Fock approximation. We consider both the case with and without exchange terms, and investigate the existence and properties of minimizers. Our approach is non-perturbative in the sense that the relevant electron subspace is determined in a self-consistent way. The present work is an extension of previous work by Hainzl, Lewin, Séré and Solovej where the case of zero temperature was considered.","lang":"eng"}],"volume":20,"author":[{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"full_name":"Lewin, Mathieu","last_name":"Lewin","first_name":"Mathieu"},{"first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"publist_id":"4545","title":"A nonlinear model for relativistic electrons at positive temperature"},{"type":"book_chapter","date_updated":"2021-01-12T06:57:21Z","month":"01","citation":{"apa":"Wagner, U. (2008). k-Sets and k-facets. In J. Goodman, J. Pach, &#38; R. Pollack (Eds.), <i>Surveys on Discrete and Computational Geometry: Twenty Years Later</i> (Vol. 453, pp. 443–514). American Mathematical Society. <a href=\"https://doi.org/10.1090/conm/453\">https://doi.org/10.1090/conm/453</a>","ista":"Wagner U. 2008.k-Sets and k-facets. In: Surveys on Discrete and Computational Geometry: Twenty Years Later. Contemporary Mathematics, vol. 453, 443–514.","ama":"Wagner U. k-Sets and k-facets. In: Goodman J, Pach J, Pollack R, eds. <i>Surveys on Discrete and Computational Geometry: Twenty Years Later</i>. Vol 453. American Mathematical Society; 2008:443-514. doi:<a href=\"https://doi.org/10.1090/conm/453\">10.1090/conm/453</a>","chicago":"Wagner, Uli. “K-Sets and k-Facets.” In <i>Surveys on Discrete and Computational Geometry: Twenty Years Later</i>, edited by Jacob Goodman, János Pach, and Richard Pollack, 453:443–514. American Mathematical Society, 2008. <a href=\"https://doi.org/10.1090/conm/453\">https://doi.org/10.1090/conm/453</a>.","short":"U. Wagner, in:, J. Goodman, J. Pach, R. Pollack (Eds.), Surveys on Discrete and Computational Geometry: Twenty Years Later, American Mathematical Society, 2008, pp. 443–514.","ieee":"U. Wagner, “k-Sets and k-facets,” in <i>Surveys on Discrete and Computational Geometry: Twenty Years Later</i>, vol. 453, J. Goodman, J. Pach, and R. Pollack, Eds. American Mathematical Society, 2008, pp. 443–514.","mla":"Wagner, Uli. “K-Sets and k-Facets.” <i>Surveys on Discrete and Computational Geometry: Twenty Years Later</i>, edited by Jacob Goodman et al., vol. 453, American Mathematical Society, 2008, pp. 443–514, doi:<a href=\"https://doi.org/10.1090/conm/453\">10.1090/conm/453</a>."},"publisher":"American Mathematical Society","publication_status":"published","_id":"2415","status":"public","date_created":"2018-12-11T11:57:32Z","doi":"10.1090/conm/453","year":"2008","quality_controlled":0,"day":"01","title":"k-Sets and k-facets","publist_id":"4510","author":[{"full_name":"Uli Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","first_name":"Uli","last_name":"Wagner"}],"volume":453,"alternative_title":["Contemporary Mathematics"],"publication":"Surveys on Discrete and Computational Geometry: Twenty Years Later","date_published":"2008-01-01T00:00:00Z","page":"443 - 514","intvolume":"       453","editor":[{"full_name":"Goodman, Jacob E","first_name":"Jacob","last_name":"Goodman"},{"last_name":"Pach","first_name":"János","full_name":"Pach, János"},{"full_name":"Pollack, Richard","first_name":"Richard","last_name":"Pollack"}],"extern":1},{"extern":1,"intvolume":"      5092","conference":{"name":"COCOON: Conference on Computing and Combinatorics"},"page":"363 - 373","date_published":"2008-01-01T00:00:00Z","alternative_title":["LNCS"],"volume":5092,"abstract":[{"lang":"eng","text":"We study the disk containment problem introduced by Neumann-Lara and Urrutia and its generalization to higher dimensions. We relate the problem to centerpoints and lower centerpoints of point sets. Moreover, we show that for any set of n points in ℝd, there is a subset A ⊆ S of size [d+3/2] such that any ball containing A contains at least roughly 4/5ed 3n points of S. This improves previous bounds for which the constant was exponentially small in d. We also consider a generalization of the planar disk containment problem to families of pseudodisks."}],"author":[{"last_name":"Smorodinsky","first_name":"Shakhar","full_name":"Smorodinsky, Shakhar"},{"first_name":"Marek","last_name":"Sulovský","full_name":"Sulovský, Marek"},{"last_name":"Wagner","first_name":"Uli","orcid":"0000-0002-1494-0568","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","full_name":"Uli Wagner"}],"publist_id":"4482","title":"On center regions and balls containing many points","quality_controlled":0,"day":"01","year":"2008","_id":"2432","publication_status":"published","date_created":"2018-12-11T11:57:38Z","doi":"10.1007/978-3-540-69733-6_36","status":"public","citation":{"ista":"Smorodinsky S, Sulovský M, Wagner U. 2008. On center regions and balls containing many points. COCOON: Conference on Computing and Combinatorics, LNCS, vol. 5092, 363–373.","apa":"Smorodinsky, S., Sulovský, M., &#38; Wagner, U. (2008). On center regions and balls containing many points (Vol. 5092, pp. 363–373). Presented at the COCOON: Conference on Computing and Combinatorics, Springer. <a href=\"https://doi.org/10.1007/978-3-540-69733-6_36\">https://doi.org/10.1007/978-3-540-69733-6_36</a>","mla":"Smorodinsky, Shakhar, et al. <i>On Center Regions and Balls Containing Many Points</i>. Vol. 5092, Springer, 2008, pp. 363–73, doi:<a href=\"https://doi.org/10.1007/978-3-540-69733-6_36\">10.1007/978-3-540-69733-6_36</a>.","ieee":"S. Smorodinsky, M. Sulovský, and U. Wagner, “On center regions and balls containing many points,” presented at the COCOON: Conference on Computing and Combinatorics, 2008, vol. 5092, pp. 363–373.","short":"S. Smorodinsky, M. Sulovský, U. Wagner, in:, Springer, 2008, pp. 363–373.","chicago":"Smorodinsky, Shakhar, Marek Sulovský, and Uli Wagner. “On Center Regions and Balls Containing Many Points,” 5092:363–73. Springer, 2008. <a href=\"https://doi.org/10.1007/978-3-540-69733-6_36\">https://doi.org/10.1007/978-3-540-69733-6_36</a>.","ama":"Smorodinsky S, Sulovský M, Wagner U. On center regions and balls containing many points. In: Vol 5092. Springer; 2008:363-373. doi:<a href=\"https://doi.org/10.1007/978-3-540-69733-6_36\">10.1007/978-3-540-69733-6_36</a>"},"publisher":"Springer","type":"conference","date_updated":"2021-01-12T06:57:27Z","month":"01"},{"page":"546 - 556","extern":1,"intvolume":"       105","author":[{"first_name":"Hiromi","last_name":"Sano","full_name":"Sano, Hiromi"},{"full_name":"Nagai, Yumiko","last_name":"Nagai","first_name":"Yumiko"},{"last_name":"Miyakawa","first_name":"Tsuyoshi","full_name":"Miyakawa, Tsuyoshi"},{"orcid":"0000-0001-8761-9444","full_name":"Ryuichi Shigemoto","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","first_name":"Ryuichi","last_name":"Shigemoto"},{"first_name":"Mineto","last_name":"Yokoi","full_name":"Yokoi, Mineto"}],"publist_id":"4404","title":"Increased social interaction in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase 10A2","date_published":"2008-04-01T00:00:00Z","volume":105,"abstract":[{"lang":"eng","text":"Cyclic nucleotide phosphodiesterase 10A (PDE10A) is a member of phosphodiesterase families that degrade cAMP and/or cGMP in distinct intracellular sites. PDE10A has a dual activity on hydrolysis of both cAMP and cGMP, and is prominently expressed in the striatum and the testis. Previous studies suggested that PDE10A is involved in regulation of locomotor activity and potentially related to psychosis, but concrete physiological roles of PDE10A remains elusive yet. In this study, we genetically inactivated PDE10A2, a prominent isoform of PDE10A in the brain, in mice, and demonstrate that PDE10A2 deficiency results in increased social interaction without any major influence on different other behaviors, along with increased levels of striatal cAMP. We also demonstrate that PDE10A2 is selectively distributed in medium spiny neurons, but not interneurons, of the striatal complex. Thus, our results establish a physiological role for PDE10A2 in regulating cAMP pathway and social interaction, and suggest that cAMP signaling cascade in striatal medium spiny neurons might be involved in regulating social interaction behavior in mice."}],"publication":"Journal of Neurochemistry","quality_controlled":0,"day":"01","issue":"2","year":"2008","publisher":"Wiley-Blackwell","citation":{"apa":"Sano, H., Nagai, Y., Miyakawa, T., Shigemoto, R., &#38; Yokoi, M. (2008). Increased social interaction in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase 10A2. <i>Journal of Neurochemistry</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.1111/j.1471-4159.2007.05152.x\">https://doi.org/10.1111/j.1471-4159.2007.05152.x</a>","ista":"Sano H, Nagai Y, Miyakawa T, Shigemoto R, Yokoi M. 2008. Increased social interaction in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase 10A2. Journal of Neurochemistry. 105(2), 546–556.","ama":"Sano H, Nagai Y, Miyakawa T, Shigemoto R, Yokoi M. Increased social interaction in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase 10A2. <i>Journal of Neurochemistry</i>. 2008;105(2):546-556. doi:<a href=\"https://doi.org/10.1111/j.1471-4159.2007.05152.x\">10.1111/j.1471-4159.2007.05152.x</a>","chicago":"Sano, Hiromi, Yumiko Nagai, Tsuyoshi Miyakawa, Ryuichi Shigemoto, and Mineto Yokoi. “Increased Social Interaction in Mice Deficient of the Striatal Medium Spiny Neuron-Specific Phosphodiesterase 10A2.” <i>Journal of Neurochemistry</i>. Wiley-Blackwell, 2008. <a href=\"https://doi.org/10.1111/j.1471-4159.2007.05152.x\">https://doi.org/10.1111/j.1471-4159.2007.05152.x</a>.","short":"H. Sano, Y. Nagai, T. Miyakawa, R. Shigemoto, M. Yokoi, Journal of Neurochemistry 105 (2008) 546–556.","ieee":"H. Sano, Y. Nagai, T. Miyakawa, R. Shigemoto, and M. Yokoi, “Increased social interaction in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase 10A2,” <i>Journal of Neurochemistry</i>, vol. 105, no. 2. Wiley-Blackwell, pp. 546–556, 2008.","mla":"Sano, Hiromi, et al. “Increased Social Interaction in Mice Deficient of the Striatal Medium Spiny Neuron-Specific Phosphodiesterase 10A2.” <i>Journal of Neurochemistry</i>, vol. 105, no. 2, Wiley-Blackwell, 2008, pp. 546–56, doi:<a href=\"https://doi.org/10.1111/j.1471-4159.2007.05152.x\">10.1111/j.1471-4159.2007.05152.x</a>."},"type":"journal_article","date_updated":"2021-01-12T06:57:50Z","month":"04","publication_status":"published","_id":"2497","status":"public","doi":"10.1111/j.1471-4159.2007.05152.x","date_created":"2018-12-11T11:58:01Z"},{"date_updated":"2020-07-14T12:45:44Z","month":"03","type":"review","publisher":"Kyoritsu Shuppan","citation":{"ista":"Fukazawa Y, Tarusawa E, Matsui K, Shigemoto R. 2008.  Ultrastructural insights of postsynaptic glutamate receptor organization . Tanpakushitsu kakusan koso Protein nucleic acid enzyme. 53(4 Suppl), 436–441.","apa":"Fukazawa, Y., Tarusawa, E., Matsui, K., &#38; Shigemoto, R. (2008).  Ultrastructural insights of postsynaptic glutamate receptor organization . <i>Tanpakushitsu Kakusan Koso Protein Nucleic Acid Enzyme</i>. Kyoritsu Shuppan.","mla":"Fukazawa, Yugo, et al. “ Ultrastructural Insights of Postsynaptic Glutamate Receptor Organization .” <i>Tanpakushitsu Kakusan Koso Protein Nucleic Acid Enzyme</i>, vol. 53, no. 4 Suppl, Kyoritsu Shuppan, 2008, pp. 436–41.","ieee":"Y. Fukazawa, E. Tarusawa, K. Matsui, and R. Shigemoto, “ Ultrastructural insights of postsynaptic glutamate receptor organization ,” <i>Tanpakushitsu kakusan koso Protein nucleic acid enzyme</i>, vol. 53, no. 4 Suppl. Kyoritsu Shuppan, pp. 436–441, 2008.","short":"Y. Fukazawa, E. Tarusawa, K. Matsui, R. Shigemoto, Tanpakushitsu Kakusan Koso Protein Nucleic Acid Enzyme 53 (2008) 436–441.","chicago":"Fukazawa, Yugo, Etsuko Tarusawa, Ko Matsui, and Ryuichi Shigemoto. “ Ultrastructural Insights of Postsynaptic Glutamate Receptor Organization .” <i>Tanpakushitsu Kakusan Koso Protein Nucleic Acid Enzyme</i>. Kyoritsu Shuppan, 2008.","ama":"Fukazawa Y, Tarusawa E, Matsui K, Shigemoto R.  Ultrastructural insights of postsynaptic glutamate receptor organization . <i>Tanpakushitsu kakusan koso Protein nucleic acid enzyme</i>. 2008;53(4 Suppl):436-441."},"status":"public","date_created":"2018-12-11T11:59:00Z","publication_status":"published","_id":"2674","year":"2008","issue":"4 Suppl","day":"01","quality_controlled":0,"title":" Ultrastructural insights of postsynaptic glutamate receptor organization ","publist_id":"4223","author":[{"full_name":"Fukazawa, Yugo","last_name":"Fukazawa","first_name":"Yugo"},{"full_name":"Tarusawa, Etsuko","last_name":"Tarusawa","first_name":"Etsuko"},{"first_name":"Ko","last_name":"Matsui","full_name":"Matsui, Ko"},{"last_name":"Shigemoto","first_name":"Ryuichi","orcid":"0000-0001-8761-9444","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","full_name":"Ryuichi Shigemoto"}],"publication":"Tanpakushitsu kakusan koso Protein nucleic acid enzyme","volume":53,"date_published":"2008-03-01T00:00:00Z","page":"436 - 441","intvolume":"        53","extern":1},{"status":"public","doi":"10.1152/jn.00556.2007","date_created":"2018-12-11T11:59:00Z","_id":"2675","publication_status":"published","date_updated":"2021-01-12T06:58:59Z","month":"05","type":"journal_article","citation":{"ama":"Endo T, Tarusawa E, Notomi T, et al. Dendritic Ih ensures high-fidelity dendritic spike responses of motion-sensitive neurons in rat superior colliculus. <i>Journal of Neurophysiology</i>. 2008;99(5):2066-2076. doi:<a href=\"https://doi.org/10.1152/jn.00556.2007\">10.1152/jn.00556.2007</a>","chicago":"Endo, Toshiaki, Etsuko Tarusawa, Takuya Notomi, Katsuyuki Kaneda, Masumi Hirabayashi, Ryuichi Shigemoto, and Tadashi Isa. “Dendritic Ih Ensures High-Fidelity Dendritic Spike Responses of Motion-Sensitive Neurons in Rat Superior Colliculus.” <i>Journal of Neurophysiology</i>. American Physiological Society, 2008. <a href=\"https://doi.org/10.1152/jn.00556.2007\">https://doi.org/10.1152/jn.00556.2007</a>.","short":"T. Endo, E. Tarusawa, T. Notomi, K. Kaneda, M. Hirabayashi, R. Shigemoto, T. Isa, Journal of Neurophysiology 99 (2008) 2066–2076.","mla":"Endo, Toshiaki, et al. “Dendritic Ih Ensures High-Fidelity Dendritic Spike Responses of Motion-Sensitive Neurons in Rat Superior Colliculus.” <i>Journal of Neurophysiology</i>, vol. 99, no. 5, American Physiological Society, 2008, pp. 2066–76, doi:<a href=\"https://doi.org/10.1152/jn.00556.2007\">10.1152/jn.00556.2007</a>.","ieee":"T. Endo <i>et al.</i>, “Dendritic Ih ensures high-fidelity dendritic spike responses of motion-sensitive neurons in rat superior colliculus,” <i>Journal of Neurophysiology</i>, vol. 99, no. 5. American Physiological Society, pp. 2066–2076, 2008.","apa":"Endo, T., Tarusawa, E., Notomi, T., Kaneda, K., Hirabayashi, M., Shigemoto, R., &#38; Isa, T. (2008). Dendritic Ih ensures high-fidelity dendritic spike responses of motion-sensitive neurons in rat superior colliculus. <i>Journal of Neurophysiology</i>. American Physiological Society. <a href=\"https://doi.org/10.1152/jn.00556.2007\">https://doi.org/10.1152/jn.00556.2007</a>","ista":"Endo T, Tarusawa E, Notomi T, Kaneda K, Hirabayashi M, Shigemoto R, Isa T. 2008. Dendritic Ih ensures high-fidelity dendritic spike responses of motion-sensitive neurons in rat superior colliculus. Journal of Neurophysiology. 99(5), 2066–2076."},"publisher":"American Physiological Society","year":"2008","issue":"5","day":"01","quality_controlled":0,"abstract":[{"lang":"eng","text":"Hyperpolarization-activated cyclic nucleotide-gated (HCN) channels that generate Ih currents are widely distributed in the brain and have been shown to contribute to various neuronal functions. In the present study, we investigated the functions of Ih in the motion-sensitive projection neurons [wide field vertical (WFV) cells] of the superior colliculus, a pivotal visual center for detection of and orientating to salient objects. Combination of whole cell recordings and immunohistochemical investigations suggested that HCN1 channels dominantly contribute to the Ih in WFV cells among HCN isoforms expressed in the superficial superior colliculus and mainly located on their expansive dendritic trees. We found that blocking Ih suppressed the initiation of short- and fixed-latency dendritic spike responses and led instead to long- and fluctuating-latency somatic spike responses to optic fiber stimulations. These results suggest that the dendritic Ih facilitates the dendritic initiation and/or propagation of action potentials and ensures that WFV cells generate spike responses to distal synaptic inputs in a sensitive and robustly time-locked manner, probably by acting as continuous depolarizing drive and fixing dendritic membrane potentials close to the spike threshold. These functions are different from known functions of dendritic Ih revealed in hippocampal and neocortical pyramidal cells, where they spatiotemporally limit the propagations of synaptic inputs along the apical dendrites by reducing dendritic membrane resistance. Thus we have revealed new functional aspects of Ih, and these dendritic properties are likely critical for visual motion processing in these neurons."}],"publication":"Journal of Neurophysiology","volume":99,"date_published":"2008-05-01T00:00:00Z","title":"Dendritic Ih ensures high-fidelity dendritic spike responses of motion-sensitive neurons in rat superior colliculus","publist_id":"4221","author":[{"full_name":"Endo, Toshiaki","first_name":"Toshiaki","last_name":"Endo"},{"first_name":"Etsuko","last_name":"Tarusawa","full_name":"Tarusawa, Etsuko"},{"full_name":"Notomi, Takuya","first_name":"Takuya","last_name":"Notomi"},{"last_name":"Kaneda","first_name":"Katsuyuki","full_name":"Kaneda, Katsuyuki"},{"first_name":"Masumi","last_name":"Hirabayashi","full_name":"Hirabayashi, Masumi"},{"last_name":"Shigemoto","first_name":"Ryuichi","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","full_name":"Ryuichi Shigemoto","orcid":"0000-0001-8761-9444"},{"full_name":"Isa, Tadashi","first_name":"Tadashi","last_name":"Isa"}],"intvolume":"        99","extern":1,"page":"2066 - 2076"},{"date_updated":"2021-01-12T06:58:59Z","month":"04","type":"journal_article","publisher":"Public Library of Science","citation":{"ama":"Kawakami R, Dobi A, Shigemoto R, Ito I. Right isomerism of the brain in inversus viscerum mutant mice. <i>PLoS One</i>. 2008;3(4). doi:<a href=\"https://doi.org/10.1371/journal.pone.0001945\">10.1371/journal.pone.0001945</a>","chicago":"Kawakami, Ryosuke, Alice Dobi, Ryuichi Shigemoto, and Isao Ito. “Right Isomerism of the Brain in Inversus Viscerum Mutant Mice.” <i>PLoS One</i>. Public Library of Science, 2008. <a href=\"https://doi.org/10.1371/journal.pone.0001945\">https://doi.org/10.1371/journal.pone.0001945</a>.","short":"R. Kawakami, A. Dobi, R. Shigemoto, I. Ito, PLoS One 3 (2008).","ieee":"R. Kawakami, A. Dobi, R. Shigemoto, and I. Ito, “Right isomerism of the brain in inversus viscerum mutant mice,” <i>PLoS One</i>, vol. 3, no. 4. Public Library of Science, 2008.","mla":"Kawakami, Ryosuke, et al. “Right Isomerism of the Brain in Inversus Viscerum Mutant Mice.” <i>PLoS One</i>, vol. 3, no. 4, Public Library of Science, 2008, doi:<a href=\"https://doi.org/10.1371/journal.pone.0001945\">10.1371/journal.pone.0001945</a>.","apa":"Kawakami, R., Dobi, A., Shigemoto, R., &#38; Ito, I. (2008). Right isomerism of the brain in inversus viscerum mutant mice. <i>PLoS One</i>. Public Library of Science. <a href=\"https://doi.org/10.1371/journal.pone.0001945\">https://doi.org/10.1371/journal.pone.0001945</a>","ista":"Kawakami R, Dobi A, Shigemoto R, Ito I. 2008. Right isomerism of the brain in inversus viscerum mutant mice. PLoS One. 3(4)."},"status":"public","doi":"10.1371/journal.pone.0001945","date_created":"2018-12-11T11:59:00Z","publication_status":"published","_id":"2676","year":"2008","day":"16","issue":"4","quality_controlled":0,"title":"Right isomerism of the brain in inversus viscerum mutant mice","author":[{"full_name":"Kawakami, Ryosuke","first_name":"Ryosuke","last_name":"Kawakami"},{"first_name":"Alice","last_name":"Dobi","full_name":"Dobi, Alice"},{"id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","full_name":"Ryuichi Shigemoto","orcid":"0000-0001-8761-9444","last_name":"Shigemoto","first_name":"Ryuichi"},{"full_name":"Ito, Isao","last_name":"Ito","first_name":"Isao"}],"publist_id":"4222","abstract":[{"text":"Left-right (L-R) asymmetry is a fundamental feature of higher-order neural function. However, the molecular basis of brain asymmetry remains unclear. We recently reported L-R asymmetry of hippocampal circuitry caused by differential allocation of N-methyl-O-aspartate receptor (NMDAR) subunit GluRε2 (NR2B) in hippocambal synapses. Using electrophysiology and immunocytochemistry, here we analyzed the hippocampal circuitry of the inversus viscerum (iv) mouse that has a randomized laterality of internal organs. The iv mouse hippocampus lacks L-R asymmetry, it exhibits right isomerism in the synaptic distribution of the ε2 subunit, irrespective of the laterality of visceral organs. This independent right isomerism of the hippocampus is the first evidence that a distinct mechanism downstream of the iv mutation generates brain asymmetry.","lang":"eng"}],"publication":"PLoS One","volume":3,"date_published":"2008-04-16T00:00:00Z","intvolume":"         3","extern":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"}},{"year":"2008","issue":"16","day":"15","quality_controlled":0,"status":"public","date_created":"2018-12-11T11:59:01Z","doi":"10.1113/jphysiol.2008.155242","publication_status":"published","_id":"2677","month":"08","date_updated":"2021-01-12T06:58:59Z","type":"journal_article","publisher":"Wiley-Blackwell","citation":{"ista":"Varga V, Hangya B, Kránitz K, Ludányi A, Zemankovics R, Katona I, Shigemoto R, Freund T, Borhegyi Z. 2008. The presence of pacemaker HCN channels identifies theta rhythmic GABAergic neurons in the medial septum. Journal of Physiology. 586(16), 3893–3915.","apa":"Varga, V., Hangya, B., Kránitz, K., Ludányi, A., Zemankovics, R., Katona, I., … Borhegyi, Z. (2008). The presence of pacemaker HCN channels identifies theta rhythmic GABAergic neurons in the medial septum. <i>Journal of Physiology</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.1113/jphysiol.2008.155242\">https://doi.org/10.1113/jphysiol.2008.155242</a>","mla":"Varga, Viktor, et al. “The Presence of Pacemaker HCN Channels Identifies Theta Rhythmic GABAergic Neurons in the Medial Septum.” <i>Journal of Physiology</i>, vol. 586, no. 16, Wiley-Blackwell, 2008, pp. 3893–915, doi:<a href=\"https://doi.org/10.1113/jphysiol.2008.155242\">10.1113/jphysiol.2008.155242</a>.","ieee":"V. Varga <i>et al.</i>, “The presence of pacemaker HCN channels identifies theta rhythmic GABAergic neurons in the medial septum,” <i>Journal of Physiology</i>, vol. 586, no. 16. Wiley-Blackwell, pp. 3893–3915, 2008.","short":"V. Varga, B. Hangya, K. Kránitz, A. Ludányi, R. Zemankovics, I. Katona, R. Shigemoto, T. Freund, Z. Borhegyi, Journal of Physiology 586 (2008) 3893–3915.","chicago":"Varga, Viktor, Balázs Hangya, Kinga Kránitz, Anikó Ludányi, Rita Zemankovics, István Katona, Ryuichi Shigemoto, Tamás Freund, and Zsolt Borhegyi. “The Presence of Pacemaker HCN Channels Identifies Theta Rhythmic GABAergic Neurons in the Medial Septum.” <i>Journal of Physiology</i>. Wiley-Blackwell, 2008. <a href=\"https://doi.org/10.1113/jphysiol.2008.155242\">https://doi.org/10.1113/jphysiol.2008.155242</a>.","ama":"Varga V, Hangya B, Kránitz K, et al. The presence of pacemaker HCN channels identifies theta rhythmic GABAergic neurons in the medial septum. <i>Journal of Physiology</i>. 2008;586(16):3893-3915. doi:<a href=\"https://doi.org/10.1113/jphysiol.2008.155242\">10.1113/jphysiol.2008.155242</a>"},"intvolume":"       586","extern":1,"page":"3893 - 3915","abstract":[{"text":"The medial septum (MS) is an indispensable component of the subcortical network which synchronizes the hippocampus at theta frequency during specific stages of information processing. GABAergic neurons exhibiting highly regular firing coupled to the hippocampal theta rhythm are thought to form the core of the MS rhythm-generating network. In recent studies the hyperpolarization-activated, cyclic nucleotide-gated non-selective cation (HCN) channel was shown to participate in theta synchronization of the medial septum. Here, we tested the hypothesis that HCN channel expression correlates with theta modulated firing behaviour of MS neurons by a combined anatomical and electrophysiological approach. HCN-expressing neurons represented a subpopulation of GABAergic cells in the MS partly overlapping with parvalbumin (PV)-containing neurons. Rhythmic firing in the theta frequency range was characteristic of all HCN-expressing neurons. In contrast, only a minority of HCN-negative cells displayed theta related activity. All HCN cells had tight phase coupling to hippocampal theta waves. As a group, PV-expressing HCN neurons had a marked bimodal phase distribution, whereas PV-immunonegative HCN neurons did not show group-level phase preference despite significant individual phase coupling. Microiontophoretic blockade of HCN channels resulted in the reduction of discharge frequency, but theta rhythmic firing was perturbed only in a few cases. Our data imply that HCN-expressing GABAergic neurons provide rhythmic drive in all phases of the hippocampal theta activity. In most MS theta cells rhythm genesis is apparently determined by interactions at the level of the network rather than by the pacemaking property of HCN channels alone.","lang":"eng"}],"publication":"Journal of Physiology","volume":586,"date_published":"2008-08-15T00:00:00Z","title":"The presence of pacemaker HCN channels identifies theta rhythmic GABAergic neurons in the medial septum","publist_id":"4220","author":[{"last_name":"Varga","first_name":"Viktor","full_name":"Varga, Viktor"},{"full_name":"Hangya, Balázs","first_name":"Balázs","last_name":"Hangya"},{"full_name":"Kránitz, Kinga","first_name":"Kinga","last_name":"Kránitz"},{"last_name":"Ludányi","first_name":"Anikó","full_name":"Ludányi, Anikó"},{"first_name":"Rita","last_name":"Zemankovics","full_name":"Zemankovics, Rita"},{"last_name":"Katona","first_name":"István","full_name":"Katona, István"},{"first_name":"Ryuichi","last_name":"Shigemoto","orcid":"0000-0001-8761-9444","full_name":"Ryuichi Shigemoto","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Tamás","last_name":"Freund","full_name":"Freund, Tamás F"},{"last_name":"Borhegyi","first_name":"Zsolt","full_name":"Borhegyi, Zsolt"}]},{"year":"2008","day":"24","issue":"39","quality_controlled":0,"month":"09","date_updated":"2021-01-12T06:59:00Z","type":"journal_article","publisher":"Society for Neuroscience","citation":{"short":"X. Li, N. Kamasawa, C. Ciolofan, C. Olson, S. Lu, K. Davidson, T. Yasumura, R. Shigemoto, J. Rash, J. Nagy, Journal of Neuroscience 28 (2008) 9769–9789.","mla":"Li, Xinbo, et al. “Connexin45-Containing Neuronal Gap Junctions in Rodent Retina Also Contain Connexin36 in Both Apposing Hemiplaques, Forming Bihomotypic Gap Junctions, with Scaffolding Contributed by Zonula Occludens-1.” <i>Journal of Neuroscience</i>, vol. 28, no. 39, Society for Neuroscience, 2008, pp. 9769–89, doi:<a href=\"https://doi.org/10.1523/JNEUROSCI.2137-08.2008\">10.1523/JNEUROSCI.2137-08.2008</a>.","ieee":"X. Li <i>et al.</i>, “Connexin45-containing neuronal gap junctions in rodent retina also contain connexin36 in both apposing hemiplaques, forming bihomotypic gap junctions, with scaffolding contributed by zonula occludens-1,” <i>Journal of Neuroscience</i>, vol. 28, no. 39. Society for Neuroscience, pp. 9769–9789, 2008.","ama":"Li X, Kamasawa N, Ciolofan C, et al. Connexin45-containing neuronal gap junctions in rodent retina also contain connexin36 in both apposing hemiplaques, forming bihomotypic gap junctions, with scaffolding contributed by zonula occludens-1. <i>Journal of Neuroscience</i>. 2008;28(39):9769-9789. doi:<a href=\"https://doi.org/10.1523/JNEUROSCI.2137-08.2008\">10.1523/JNEUROSCI.2137-08.2008</a>","chicago":"Li, Xinbo, Naomi Kamasawa, Cristina Ciolofan, Carl Olson, Shijun Lu, Kimberly Davidson, Thomas Yasumura, Ryuichi Shigemoto, John Rash, and James Nagy. “Connexin45-Containing Neuronal Gap Junctions in Rodent Retina Also Contain Connexin36 in Both Apposing Hemiplaques, Forming Bihomotypic Gap Junctions, with Scaffolding Contributed by Zonula Occludens-1.” <i>Journal of Neuroscience</i>. Society for Neuroscience, 2008. <a href=\"https://doi.org/10.1523/JNEUROSCI.2137-08.2008\">https://doi.org/10.1523/JNEUROSCI.2137-08.2008</a>.","ista":"Li X, Kamasawa N, Ciolofan C, Olson C, Lu S, Davidson K, Yasumura T, Shigemoto R, Rash J, Nagy J. 2008. Connexin45-containing neuronal gap junctions in rodent retina also contain connexin36 in both apposing hemiplaques, forming bihomotypic gap junctions, with scaffolding contributed by zonula occludens-1. Journal of Neuroscience. 28(39), 9769–9789.","apa":"Li, X., Kamasawa, N., Ciolofan, C., Olson, C., Lu, S., Davidson, K., … Nagy, J. (2008). Connexin45-containing neuronal gap junctions in rodent retina also contain connexin36 in both apposing hemiplaques, forming bihomotypic gap junctions, with scaffolding contributed by zonula occludens-1. <i>Journal of Neuroscience</i>. Society for Neuroscience. <a href=\"https://doi.org/10.1523/JNEUROSCI.2137-08.2008\">https://doi.org/10.1523/JNEUROSCI.2137-08.2008</a>"},"status":"public","doi":"10.1523/JNEUROSCI.2137-08.2008","date_created":"2018-12-11T11:59:01Z","_id":"2678","publication_status":"published","page":"9769 - 9789","intvolume":"        28","extern":1,"title":"Connexin45-containing neuronal gap junctions in rodent retina also contain connexin36 in both apposing hemiplaques, forming bihomotypic gap junctions, with scaffolding contributed by zonula occludens-1","publist_id":"4218","author":[{"first_name":"Xinbo","last_name":"Li","full_name":"Li, Xinbo"},{"last_name":"Kamasawa","first_name":"Naomi","full_name":"Kamasawa, Naomi"},{"last_name":"Ciolofan","first_name":"Cristina","full_name":"Ciolofan, Cristina"},{"first_name":"Carl","last_name":"Olson","full_name":"Olson, Carl O"},{"full_name":"Lu, Shijun","last_name":"Lu","first_name":"Shijun"},{"first_name":"Kimberly","last_name":"Davidson","full_name":"Davidson, Kimberly G"},{"last_name":"Yasumura","first_name":"Thomas","full_name":"Yasumura, Thomas"},{"last_name":"Shigemoto","first_name":"Ryuichi","orcid":"0000-0001-8761-9444","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","full_name":"Ryuichi Shigemoto"},{"full_name":"Rash, John E","first_name":"John","last_name":"Rash"},{"first_name":"James","last_name":"Nagy","full_name":"Nagy, James I"}],"abstract":[{"lang":"eng","text":"Mammalian retinas contain abundant neuronal gap junctions, particularly in the inner plexiform layer (IPL), where the two principal neuronal connexin proteins are Cx36 and Cx45. Currently undetermined are coupling relationships between these connexins and whether both are expressed together or separately in a neuronal subtype-specific manner. Although Cx45-expressing neurons strongly couple with Cx36-expressing neurons, possibly via heterotypic gap junctions, Cx45 and Cx36 failed to form functional heterotypic channels in vitro. We now show that Cx36 and Cx45 coexpressed in HeLa cells were colocalized in immunofluorescent puncta between contacting cells, demonstrating targeting/scaffolding competence for both connexins in vitro. However, Cx36 and Cx45 expressed separately did not form immunofluorescent puncta containing both connexins, supporting lack of heterotypic coupling competence. In IPL, 87% of Cx45-immunofluorescent puncta were colocalized with Cx36, supporting either widespread heterotypic coupling or bihomotypic coupling. Ultrastructurally, Cx45 was detected in 9% of IPL gap junction hemiplaques, 90-100% of which also contained Cx36, demonstrating connexin coexpression and cotargeting in virtually all IPL neurons that express Cx45. Moreover, double replicas revealed both connexins in separate domains mirrored on both sides of matched hemiplaques. With previous evidence that Cx36 interacts with PDZ1 domain of zonula occludens-1 (ZO-1), we show that Cx45 interacts with PDZ2 domain of ZO-1, and that Cx36, Cx45, and ZO-1 coimmunoprecipitate, suggesting that ZO-1 provides for coscaffolding of Cx45 with Cx36. These data document that in Cx45-expressing neurons of IPL, Cx45 is almost always accompanied by Cx36, forming &quot;bihomotypic&quot; gap junctions, with Cx45 structurally coupling to Cx45 and Cx36 coupling to Cx36."}],"publication":"Journal of Neuroscience","volume":28,"date_published":"2008-09-24T00:00:00Z"}]
