@article{3493,
  abstract     = {Although agonists and competitive antagonists presumably occupy overlapping binding sites on ligand-gated channels, these interactions cannot be identical because agonists cause channel opening whereas antagonists do not. One explanation is that only agonist binding performs enough work on the receptor to cause the conformational changes that lead to gating. This idea is supported by agonist binding rates at GABAA and nicotinic acetylcholine receptors that are slower than expected for a diffusion-limited process, suggesting that agonist binding involves an energy-requiring event. This hypothesis predicts that competitive antagonist binding should require less activation energy than agonist binding. To test this idea, we developed a novel deconvolution-based method to compare binding and unbinding kinetics of GABAA receptor agonists and antagonists in outside-out patches from rat hippocampal neurons. Agonist and antagonist unbinding rates were steeply correlated with affinity. Unlike the agonists, three of the four antagonists tested had binding rates that were fast, independent of affinity, and could be accounted for by diffusion- and dehydration-limited processes. In contrast, agonist binding involved additional energy-requiring steps, consistent with the idea that channel gating is initiated by agonist-triggered movements within the ligand binding site. Antagonist binding does not appear to produce such movements, and may in fact prevent them.},
  author       = {Jones, M.V and Jonas, Peter M and Sahara, Y. and Westbrook, G.},
  issn         = {0006-3495},
  journal      = {Biophysical Journal},
  number       = {5},
  pages        = {2660 -- 2670},
  publisher    = {Biophysical Society},
  title        = {{Microscopic kinetics and energetics distinguish GABAA receptor agonists from antagonists}},
  doi          = {10.1016/S0006-3495(01)75909-7 },
  volume       = {81},
  year         = {2001},
}

@article{3494,
  abstract     = {Mutual synaptic interactions between GABAergic interneurons are thought to be of critical importance for the generation of network oscillations and for temporal encoding of information in the hippocampus. However, the functional properties of synaptic transmission between hippocampal interneurons are largely unknown. We have made paired recordings from basket cells (BCs) in the dentate gyrus of rat hippocampal slices, followed by correlated light and electron microscopical analysis. Unitary GABAAreceptor-mediated IPSCs at BC–BC synapses recorded at the soma showed a fast rise and decay, with a mean decay time constant of 2.5 ± 0.2 msec (32°C). Synaptic transmission at BC–BC synapses showed paired-pulse depression (PPD) (32 ± 5% for 10 msec interpulse intervals) and multiple-pulse depression during repetitive stimulation. Detailed passive cable model simulations based on somatodendritic morphology and localization of synaptic contacts further indicated that the conductance change at the postsynaptic site was even faster, decaying with a mean time constant of 1.8 ± 0.6 msec. Sequential triple recordings revealed that the decay time course of IPSCs at BC–BC synapses was approximately twofold faster than that at BC–granule cell synapses, whereas the extent of PPD was comparable. To examine the consequences of the fast postsynaptic conductance change for the generation of oscillatory activity, we developed a computational model of an interneuron network. The model showed robust oscillations at frequencies >60 Hz if the excitatory drive was sufficiently large. Thus the fast conductance change at interneuron–interneuron synapses may promote the generation of high-frequency oscillations observed in the dentate gyrusin vivo. },
  author       = {Bartos, Marlene and Vida, Imre and Frotscher, Michael and Geiger, Jörg and Jonas, Peter M},
  issn         = {0270-6474},
  journal      = {Journal of Neuroscience},
  number       = {8},
  pages        = {2687 -- 2698},
  publisher    = {Society for Neuroscience},
  title        = {{Rapid signaling at inhibitory synapses in a dentate gyrus interneuron network.}},
  doi          = {10.1523/JNEUROSCI.21-08-02687.2001},
  volume       = {21},
  year         = {2001},
}

@article{3496,
  abstract     = {The mossy fiber-CA3 pyramidal neuron synapse is a main component of the hippocampal trisynaptic circuitry. Recent studies, however, suggested that inhibitory interneurons are the major targets of the mossy fiber system. To study the regulation of mossy fiber-interneuron excitation, we examined unitary and compound excitatory postsynaptic currents in dentate gyrus basket cells, evoked by paired recording between granule and basket cells or extracellular stimulation of mossy fiber collaterals. The application of an associative high-frequency stimulation paradigm induced posttetanic potentiation (PTP) followed by homosynaptic long-term potentiation (LTP). Analysis of numbers of failures, coefficient of variation, and paired-pulse modulation indicated that both PTP and LTP were expressed presynaptically. The Ca2+ chelator 1,2-bis(2-aminophenoxy)ethane-N,N,N′,N′-tetraacetic acid (BAPTA) did not affect PTP or LTP at a concentration of 10 mM but attenuated LTP at a concentration of 30 mM. Both forskolin, an adenylyl cyclase activator, and phorbolester diacetate, a protein kinase C stimulator, lead to a long-lasting increase in excitatory postsynaptic current amplitude. H-89, a protein kinase A inhibitor, and bisindolylmaleimide, a protein kinase C antagonist, reduced PTP, whereas only bisindolylmaleimide reduced LTP. These results may suggest a differential contribution of protein kinase A and C pathways to mossy fiber-interneuron plasticity. Interneuron PTP and LTP may provide mechanisms to maintain the balance between synaptic excitation of interneurons and that of principal neurons in the dentate gyrus-CA3 network. },
  author       = {Alle, Henrik and Jonas, Peter M and Geiger, Jörg},
  issn         = {0027-8424},
  journal      = {PNAS},
  number       = {25},
  pages        = {14708 -- 14713},
  publisher    = {National Academy of Sciences},
  title        = {{PTP and LTP at a hippocampal mossy fiber-interneuron synapse}},
  doi          = {10.1073/pnas.251610898 },
  volume       = {98},
  year         = {2001},
}

@misc{3507,
  abstract     = {A molecular classification method is based on a space filling description of a molecule. The three dimensional body corresponding to the space filling molecular structure is divided into Voronoi regions to provide a basis for efficiently processing local structural information. A Delaunay triangulation provides a basis for systematically processing information relating to the Voronoi regions into shape descriptors in the form of topological elements. Preferably, additional shape and/or property descriptors are included in the classification method. The classification methods generally are used to identify similarities between molecules that can be used as property predictors for a variety of applications. Generally, the property predictions are the basis for selection of compounds for incorporation into efficacy evaluations.},
  author       = {Liang, Jie and Edelsbrunner, Herbert},
  title        = {{Molecular classification for property prediction}},
  year         = {2001},
}

@article{3540,
  abstract     = {What determines the firing rate of cortical neurons in the absence of external sensory input or motor behavior, such as during sleep? Hero we report that, in a familiar environment, the discharge frequency of simultaneously recorded individual CA1 pyramidal neurons and the coactivation of cell pairs remain highly correlated across sleep-wake-steep sequences. However, both measures were affected when new sets of neurons were activated in a novel environment. Nevertheless, the grand mean firing rate of the whole pyramidal cell population remained constant across behavioral states and testing conditions. The findings suggest that long-term firing patterns of single cells can be modified by experience. We hypothesize that increased firing rates of recently used neurons are associated with a concomitant decrease in the discharge activity of the remaining population, leaving the mean excitability of the hippocampal network unaltered.},
  author       = {Hirase, Hajima and Leinekugel, Xavier and Czurkó, András and Csicsvari, Jozsef L and Buzsáki, György},
  issn         = {0027-8424},
  journal      = {PNAS},
  number       = {16},
  pages        = {9386 -- 9390},
  publisher    = {National Academy of Sciences},
  title        = {{Firing rates of hippocampal neurons are preserved during subsequent sleep episodes and modified by novel awake experience}},
  doi          = {10.1073/pnas.161274398},
  volume       = {98},
  year         = {2001},
}

@article{3546,
  abstract     = {Local versus distant coherence of hippocampal CA1 pyramidal cells was investigated in the behaving rat. Temporal cross-correlation of pyramidal cells revealed a significantly stronger relationship among local (<140 <mu>m) pyramidal neurons compared with distant (>300 mum) neurons during non-theta-associated immobility and sleep but not during theta-associated running and walking. In contrast, cross-correlation between local pyramidal cell-interneuron pairs was significantly stronger than between distant pairs during theta oscillations but were similar during non-theta-associated behaviors. We suggest that network state-dependent functional clustering of neuronal activity emerges because of the differential contribution of the main excitatory inputs, the perforant path, and Schaffer collaterals during theta and non-theta behaviors.},
  author       = {Hirase, Hajima and Leinekugel, Xavier and Csicsvari, Jozsef L and Czurkó, András and Buzsáki, György},
  issn         = {0270-6474},
  journal      = {Journal of Neuroscience},
  number       = {10},
  publisher    = {Society for Neuroscience},
  title        = {{Behavior-dependent states of the hippocampal network affect functional clustering of neurons}},
  doi          = {10.1523/JNEUROSCI.21-10-j0003.2001},
  volume       = {21},
  year         = {2001},
}

@article{3927,
  abstract     = {TNF-alpha has been clearly identified as central mediator of T cell activation-induced acute hepatic injury in mice, e.g., Con A hepatitis. In this model, liver injury depends on both TNFRs, i.e., the 55-kDa TNFR1 as well as the 75-kDa TNFR2. We show in this report that the hepatic TNFRs are not transcriptionally regulated, but are regulated by receptor shedding. TNF directly mediates hepatocellular death by activation of TNFR1 but also induces the expression of inflammatory proteins, such as cytokines and adhesion molecules. Here we provide evidence that resistance of TNFR1(-/-) and TNFR2(-/-) mice against Con A hepatitis is not due to an impaired production of the central mediators TNF and IFN-gamma. Con A injection results in a massive induction of ICAM-1, VCAM-1, and E-selectin in the liver. Lack of either one of both TNFRs did not change adhesion molecule expression in the livers of Con A-treated mice, presumably reflecting the fact that other endothelial cell-activating cytokines up-regulated adhesion molecule expression. However, treatment of TNFR1(-/-) and TNFR2(-/-) mice with murine rTNF revealed a predominant role for TNFR1 for the induction of hepatic adhesion molecule expression. Pretreatment with blocking Abs against E- and P-selectin or of ICAM(-/-) mice with anti-VCAM-1 Abs failed to prevent Con A hepatitis, although accumulation of the critical cell population, i.e., CD4(+) T cells was significantly inhibited. Hence, up-regulation of adhesion molecules during acute hepatitis unlikely contributes to organ injury but rather represents a defense mechanism.},
  author       = {Wolf, Dominik and Hallmann, Rupert and Sass, Gabriele and Sixt, Michael K and Küsters, Sabine and Fregien, Bastian and Trautwein, Christian and Tiegs, Gisa},
  issn         = {0022-1767},
  journal      = {Journal of Immunology},
  number       = {2},
  pages        = {1300 -- 1307},
  publisher    = {American Association of Immunologists},
  title        = {{TNF-α-induced expression of adhesion molecules in the liver is under the control of TNFR1--relevance for concanavalin A-induced hepatitis}},
  doi          = {10.4049/jimmunol.166.2.1300},
  volume       = {166},
  year         = {2001},
}

@article{3928,
  abstract     = {Regulated adhesion of leukocytes to the extracellular matrix is essential for transmigration of blood vessels and subsequent migration into the stroma of inflamed tissues. Although beta(2)-integrins play an indisputable role in adhesion of polymorphonuclear granulocytes (PMN) to endothelium, we show here that beta(1)- and beta(3)-integrins but not beta(2)-integrin are essential for the adhesion to and migration on extracellular matrix molecules of the endothelial cell basement membrane and subjacent interstitial matrix. Mouse wild type and beta(2)-integrin null PMN and the progranulocytic cell line 32DC13 were employed in in vitro adhesion and migration assays using extracellular matrix molecules expressed at sites of extravasation in vivo, in particular the endothelial cell laminins 8 and 10. Wild type and beta(2)-integrin null PMN showed the same pattern of ECM binding, indicating that beta(2)-integrins do not mediate specific adhesion of PMN to the extracellular matrix molecules tested; binding was observed to the interstitial matrix molecules, fibronectin and vitronectin, via integrins alpha(5)beta(1) and alpha(v)beta(3), respectively; to laminin 10 via alpha(6)beta(1); but not to laminins 1, 2, and 8, collagen type I and IV, perlecan, or tenascin-C. PMN binding to laminins 1, 2, and 8 could not be induced despite surface expression of functionally active integrin alpha(6)beta(1), a major laminin receptor, demonstrating that expression of alpha(6)beta(1) alone is insufficient for ligand binding and suggesting the involvement of accessory factors. Nevertheless, laminins 1, 8, and 10 supported PMN migration, indicating that differential cellular signaling via laminins is independent of the extent of adhesion. The data demonstrate that adhesive and nonadhesive interactions with components of the endothelial cell basement membrane and subjacent interstitium play decisive roles in controlling PMN movement into sites of inflammation and illustrate that beta(2)-integrins are not essential for such interactions.},
  author       = {Sixt, Michael K and Hallmann, Rupert and Wendler, Olaf and Scharffetter Kochanek, Karin and Sorokin, Lydia},
  issn         = {0021-9258},
  journal      = {Journal of Biological Chemistry},
  number       = {22},
  pages        = {18878 -- 18887},
  publisher    = {American Society for Biochemistry and Molecular Biology},
  title        = {{Cell adhesion and migration properties of β2-integrin negative polymorphonuclear granulocytes on defined extracellular matrix molecules. Relevance for leukocyte extravasation}},
  doi          = {10.1074/jbc.M010898200},
  volume       = {276},
  year         = {2001},
}

@article{3930,
  abstract     = {An active involvement of blood-brain barrier endothelial cell basement membranes in development of inflammatory lesions in the central nervous system (CNS) has not been considered to date. Here we investigated the molecular composition and possible function of the extracellular matrix encountered by extravasating T lymphocytes during experimental autoimmune encephalomyelitis (EAE). Endothelial basement membranes contained laminin 8 (alpha4beta1gamma1) and/or 10 (alpha5beta1gamma1) and their expression was influenced by proinflammatory cytokines or angiostatic agents. T cells emigrating into the CNS during EAE encountered two biochemically distinct basement membranes, the endothelial (containing laminins 8 and 10) and the parenchymal (containing laminins 1 and 2) basement membranes. However, inflammatory cuffs occurred exclusively around endothelial basement membranes containing laminin 8, whereas in the presence of laminin 10 no infiltration was detectable. In vitro assays using encephalitogenic T cell lines revealed adhesion to laminins 8 and 10, whereas binding to laminins 1 and 2 could not be induced. Downregulation of integrin alpha6 on cerebral endothelium at sites of T cell infiltration, plus a high turnover of laminin 8 at these sites, suggested two possible roles for laminin 8 in the endothelial basement membrane: one at the level of the endothelial cells resulting in reduced adhesion and, thereby, increased penetrability of the monolayer; and secondly at the level of the T cells providing direct signals to the transmigrating cells.},
  author       = {Sixt, Michael K and Engelhardt, Britta and Pausch, Friederike and Hallmann, Rupert and Wendler, Olaf and Sorokin, Lydia},
  issn         = {0021-9525},
  journal      = {Journal of Cell Biology},
  number       = {5},
  pages        = {933 -- 946},
  publisher    = {Rockefeller University Press},
  title        = {{Endothelial cell laminin isoforms, laminins 8 and 10, play decisive roles in T cell recruitment across the blood-brain barrier in experimental autoimmune encephalomyelitis}},
  doi          = {10.1083/jcb.153.5.933 },
  volume       = {153},
  year         = {2001},
}

@article{4200,
  abstract     = {Zebrafish embryos homozygous for the masterblind (mb1) mutation exhibit a striking phenotype in which the eyes and telencephalon are reduced or absent and diencephalic fates expand to the front of the brain. Here we show that mb1(-/-) embryos carry an amino-acid change at a conserved site in the Wnt pathway scaffolding protein, Axin1. The amino-acid substitution present in the mbl allele abolishes the binding of Axin to Gsk3 and affects Tcf-dependent transcription. Therefore, Gsk3 activity may be decreased in mbl(-/-) embryos and in support of this possibility, overexpression of either wild-type Axin1 or Gsk3 beta can restore eye and telencephalic fates to mb1(-/-) embryos. Our data reveal a crucial role for Axin1-dependent inhibition of the Wnt pathway in the early regional subdivision of the anterior neural plate into telencephalic, diencephalic, and eye-forming territories.},
  author       = {Heisenberg, Carl-Philipp J and Houart, Corinne and Take Uchi, Masaya and Rauch, Gerd and Young, Neville and Coutinho, Pedro and Masai, Ichiro and Caneparo, Luca and Concha, Miguel and Geisler, Robert and Dale, Trevor and Wilson, Stephen and Stemple, Derek},
  issn         = {0890-9369},
  journal      = {Genes and Development},
  number       = {11},
  pages        = {1427 -- 1434},
  publisher    = {Cold Spring Harbor Laboratory Press},
  title        = {{A mutation in the Gsk3-binding domain of zebrafish Masterblind/Axin1 leads to a fate transformation of telencephalon and eyes to diencephalon}},
  doi          = {10.1101/gad.194301},
  volume       = {15},
  year         = {2001},
}

@inproceedings{2340,
  abstract     = {Recent experimental breakthroughs in the treatment of dilute Bose gases have renewed interest in their quantum mechanical description, respectively in approximations to it. The ground state properties of dilute Bose gases confined in external potentials and interacting via repulsive short range forces are usually described by means of the Gross-Pitaevskii energy functional. In joint work with Elliott H. Lieb and Jakob Yngvason its status as an approximation for the quantum mechanical many-body ground state problem has recently been rigorously clarified. We present a summary of this work, for both the two-and three-dimensional case.
},
  author       = {Seiringer, Robert},
  editor       = {Demuth, Michael and Schultze, Bert},
  isbn         = {9783034894838},
  location     = {Clausthal, Germany},
  pages        = {307 -- 314},
  publisher    = {Birkhäuser},
  title        = {{Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula}},
  doi          = {10.1007/978-3-0348-8231-6},
  volume       = {126},
  year         = {2001},
}

@article{2341,
  abstract     = {We study the ground state properties of an atom with nuclear charge Z and N bosonic "electrons" in the presence of a homogeneous magnetic field B. We investigate the mean field limit N→∞ with N / Z fixed, and identify three different asymptotic regions, according to B≪Z2,B∼Z2,andB≫Z2 . In Region 1 standard Hartree theory is applicable. Region 3 is described by a one-dimensional functional, which is identical to the so-called Hyper-Strong functional introduced by Lieb, Solovej and Yngvason for atoms with fermionic electrons in the region B≫Z3 ; i.e., for very strong magnetic fields the ground state properties of atoms are independent of statistics. For Region 2 we introduce a general magnetic Hartree functional, which is studied in detail. It is shown that in the special case of an atom it can be restricted to the subspace of zero angular momentum parallel to the magnetic field, which simplifies the theory considerably. The functional reproduces the energy and the one-particle reduced density matrix for the full N-particle ground state to leading order in N, and it implies the description of the other regions as limiting cases.},
  author       = {Baumgartner, Bernhard and Seiringer, Robert},
  issn         = {1424-0637},
  journal      = {Annales Henri Poincare},
  number       = {1},
  pages        = {41 -- 76},
  publisher    = {Birkhäuser},
  title        = {{Atoms with bosonic "electrons" in strong magnetic fields}},
  doi          = {10.1007/PL00001032},
  volume       = {2},
  year         = {2001},
}

@article{2345,
  abstract     = {We give upper bounds for the number of spin-1/2 particles that can be bound to a nucleus of charge Z in the presence of a magnetic field B, including the spin-field coupling. We use Lieb's strategy, which is known to yield Nc < 2Z + 1 for magnetic fields that go to zero at infinity, ignoring the spin-field interaction. For particles with fermionic statistics in a homogeneous magnetic field our upper bound has an additional term of the order of Z × min {(B/Z3)2/5, 1 + | 1n(B/Z3)|2}.},
  author       = {Seiringer, Robert},
  issn         = {0305-4470},
  journal      = {Journal of Physics A: Mathematical and General},
  number       = {9},
  pages        = {1943 -- 1948},
  publisher    = {IOP Publishing Ltd.},
  title        = {{On the maximal ionization of atoms in strong magnetic fields}},
  doi          = {10.1088/0305-4470/34/9/311},
  volume       = {34},
  year         = {2001},
}

@article{2346,
  abstract     = {By means of a generalization of the Fefferman - de la Llave decomposition we derive a general lower bound on the interaction energy of one-dimensional quantum systems. We apply this result to a specific class of lowest Landau band wave functions.},
  author       = {Hainzl, Christian and Seiringer, Robert},
  issn         = {0377-9017},
  journal      = {Letters in Mathematical Physics},
  number       = {2},
  pages        = {133 -- 142},
  publisher    = {Springer},
  title        = {{Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics}},
  doi          = {10.1023/A:1010951905548},
  volume       = {55},
  year         = {2001},
}

@article{2347,
  abstract     = {We consider the ground state properties of an inhomogeneous two-dimensional Bose gas with a repulsive, short range pair interaction and an external confining potential. In the limit when the particle number N is large but ρ̅a 2 is small, where ρ̅ is the average particle density and a the scattering length, the ground state energy and density are rigorously shown to be given to leading order by a Gross–Pitaevskii (GP) energy functional with a coupling constant g~1/|1n(ρ̅a 2)|. In contrast to the 3D case the coupling constant depends on N through the mean density. The GP energy per particle depends only on Ng. In 2D this parameter is typically so large that the gradient term in the GP energy functional is negligible and the simpler description by a Thomas–Fermi type functional is adequate.},
  author       = {Lieb, Élliott and Seiringer, Robert and Yngvason, Jakob},
  issn         = {0010-3616},
  journal      = {Communications in Mathematical Physics},
  number       = {1},
  pages        = {17 -- 31},
  publisher    = {Springer},
  title        = {{A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas}},
  doi          = {10.1007/s002200100533},
  volume       = {224},
  year         = {2001},
}

@article{2348,
  abstract     = {This paper concerns the asymptotic ground state properties of heavy atoms in strong, homogeneous magnetic fields. In the limit when the nuclear charge Z tends to ∞ with the magnetic field B satisfying B ≫ Z4/3 all the electrons are confined to the lowest Landau band. We consider here an energy functional, whose variable is a sequence of one-dimensional density matrices corresponding to different angular momentum functions in the lowest Landau band. We study this functional in detail and derive various interesting properties, which are compared with the density matrix (DM) theory introduced by Lieb, Solovej and Yngvason. In contrast to the DM theory the variable perpendicular to the field is replaced by the discrete angular momentum quantum numbers. Hence we call the new functional a discrete density matrix (DDM) functional. We relate this DDM theory to the lowest Landau band quantum mechanics and show that it reproduces correctly the ground state energy apart from errors due to the indirect part of the Coulomb interaction energy.},
  author       = {Hainzl, Christian and Seiringer, Robert},
  issn         = {0010-3616},
  journal      = {Communications in Mathematical Physics},
  number       = {1},
  pages        = {229 -- 248},
  publisher    = {Springer},
  title        = {{A discrete density matrix theory for atoms in strong magnetic fields}},
  doi          = {10.1007/s002200100373},
  volume       = {217},
  year         = {2001},
}

@article{2610,
  abstract     = {To study the role of mGlu7 receptors (mGluR7), we used homologous recombination to generate mice lacking this metabotropic receptor subtype (mGluR7 -/-). After the serendipitous discovery of a sensory stimulus-evoked epileptic phenotype, we tested two convulsant drugs, pentylenetetrazole (PTZ) and bicuculline. In animals aged 12 weeks and older, subthreshold doses of these drugs induced seizures in mGluR7 -/-, but not in mGluR7 +/-, mice. PTZ-induced seizures were inhibited by three standard anticonvulsant drugs, but not by the group III selective mGluR agonist (R,S)-4-phosphonophenylglycine (PPG). Consistent with the lack of signs of epileptic activity in the absence of specific stimuli, mGluR7 -/- mice showed no major changes in synaptic properties in two slice preparations. However, slightly increased excitability was evident in hippocampal slices. In addition, there was slower recovery from frequency facilitation in cortical slices, suggesting a role for mGluR7 as a frequency-dependent regulator in presynaptic terminals. Our findings suggest that mGluR7 receptors have a unique role in regulating neuronal excitability and that these receptors may be a novel target for the development of anticonvulsant drugs.},
  author       = {Sansig, Gilles and Bushell, Trevor and Clarke, Vernon and Rozov, Andrei and Burnashev, Nail and Portet, Chantal and Gasparini, Fabrizio and Schmutz, Markus and Klebs, Klaus and Shigemoto, Ryuichi and Flor, Peter and Kühn, Rainer and Knoepfel, Thomas and Schroeder, Markus and Hampson, David and Collett, Valerie and Zhang, Congxiao and Duvoisin, Robert and Collingridge, Graham and Van Der Putten, Herman},
  issn         = {0270-6474},
  journal      = {Journal of Neuroscience},
  number       = {22},
  pages        = {8734 -- 8745},
  publisher    = {Society for Neuroscience},
  title        = {{Increased seizure susceptibility in mice lacking metabotropic glutamate receptor 7}},
  doi          = {10.1523/JNEUROSCI.21-22-08734.2001},
  volume       = {21},
  year         = {2001},
}

@article{2734,
  abstract     = {In this paper we describe an intrinsically geometric way of producing magnetic fields on S3 and R3 for which the corresponding Dirac operators have a non-trivial kernel. In many cases we are able to compute the dimension of the kernel. In particular we can give examples where the kernel has any given dimension. This generalizes the examples of Loss and Yau [1].},
  author       = {Erdös, László and Solovej, Jan},
  issn         = {0129-055X},
  journal      = {Reviews in Mathematical Physics},
  number       = {10},
  pages        = {1247 -- 1280},
  publisher    = {World Scientific Publishing},
  title        = {{The kernel of Dirac operators on S3 and R3}},
  doi          = {10.1142/S0129055X01000983},
  volume       = {13},
  year         = {2001},
}

@article{2735,
  abstract     = {We establish the exact low-energy asymptotics of the integrated density of states (Lifschitz tail) in a homogeneous magnetic field and Poissonian impurities with a repulsive single-site potential of Gaussian decay. It has been known that the Gaussian potential tail discriminates between the so-called “classical” and “quantum” regimes, and precise asymptotics are known in these cases. For the borderline case, the coexistence of the classical and quantum regimes was conjectured. Here we settle this last remaining open case to complete the full picture of the magnetic Lifschitz tails.},
  author       = {Erdös, László},
  issn         = {0044-3719},
  journal      = {Probability Theory and Related Fields},
  number       = {2},
  pages        = {219 -- 236},
  publisher    = {Springer},
  title        = {{Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case}},
  doi          = {10.1007/PL00008803},
  volume       = {121},
  year         = {2001},
}

@article{2736,
  abstract     = {We consider the time evolution of N bosonic particles interacting via a mean field Coulomb potential. Suppose the initial state is a product wavefunction. We show that at any finite time the correlation functions factorize in the limit N → ∞. Furthermore, the limiting one particle density matrix satisfies the nonlinear Hartree equation. The key ingredients are the uniqueness of the BBGKY hierarchy for the correlation functions and a new apriori estimate for the many-body Schrödinger equations.},
  author       = {Erdös, László and Yau, Horng},
  issn         = {1095-0761},
  journal      = {Advances in Theoretical and Mathematical Physics},
  number       = {6},
  pages        = {1169 -- 1205},
  publisher    = {International Press},
  title        = {{Derivation of the nonlinear Schrödinger equation from a many body Coulomb system}},
  doi          = {10.48550/arXiv.math-ph/0111042},
  volume       = {5},
  year         = {2001},
}