---
_id: '4568'
abstract:
- lang: eng
  text: We present and evaluate a framework and tool for combining multiple program
    analyses which allows the dynamic (on-line) adjustment of the precision of each
    analysis depending on the accumulated results. For example, the explicit tracking
    of the values of a variable may be switched off in favor of a predicate abstraction
    when and where the number of different variable values that have been encountered
    has exceeded a specified threshold. The method is evaluated on verifying the SSH
    client/server software and shows significant gains compared with predicate abstraction-based
    model checking.
author:
- first_name: Dirk
  full_name: Beyer, Dirk
  last_name: Beyer
- first_name: Thomas A
  full_name: Thomas Henzinger
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Grégory
  full_name: Théoduloz, Grégory
  last_name: Théoduloz
citation:
  ama: 'Beyer D, Henzinger TA, Théoduloz G. Program analysis with dynamic change of
    precision. In: ACM; 2008:29-38. doi:<a href="https://doi.org/10.1109/ASE.2008.13">10.1109/ASE.2008.13</a>'
  apa: 'Beyer, D., Henzinger, T. A., &#38; Théoduloz, G. (2008). Program analysis
    with dynamic change of precision (pp. 29–38). Presented at the ASE: Automated
    Software Engineering, ACM. <a href="https://doi.org/10.1109/ASE.2008.13">https://doi.org/10.1109/ASE.2008.13</a>'
  chicago: Beyer, Dirk, Thomas A Henzinger, and Grégory Théoduloz. “Program Analysis
    with Dynamic Change of Precision,” 29–38. ACM, 2008. <a href="https://doi.org/10.1109/ASE.2008.13">https://doi.org/10.1109/ASE.2008.13</a>.
  ieee: 'D. Beyer, T. A. Henzinger, and G. Théoduloz, “Program analysis with dynamic
    change of precision,” presented at the ASE: Automated Software Engineering, 2008,
    pp. 29–38.'
  ista: 'Beyer D, Henzinger TA, Théoduloz G. 2008. Program analysis with dynamic change
    of precision. ASE: Automated Software Engineering, 29–38.'
  mla: Beyer, Dirk, et al. <i>Program Analysis with Dynamic Change of Precision</i>.
    ACM, 2008, pp. 29–38, doi:<a href="https://doi.org/10.1109/ASE.2008.13">10.1109/ASE.2008.13</a>.
  short: D. Beyer, T.A. Henzinger, G. Théoduloz, in:, ACM, 2008, pp. 29–38.
conference:
  name: 'ASE: Automated Software Engineering'
date_created: 2018-12-11T12:09:31Z
date_published: 2008-10-07T00:00:00Z
date_updated: 2021-01-12T07:59:46Z
day: '07'
doi: 10.1109/ASE.2008.13
extern: 1
main_file_link:
- open_access: '0'
  url: http://pub.ist.ac.at/%7Etah/Publications/program_analysis_with_dynamic_change_of_precision.pdf
month: '10'
page: 29 - 38
publication_status: published
publisher: ACM
publist_id: '140'
quality_controlled: 0
status: public
title: Program analysis with dynamic change of precision
type: conference
year: '2008'
...
---
_id: '11884'
abstract:
- lang: eng
  text: About 20% of the world's population uses the Web, and a large majority thereof
    uses Web search engines to find information. As a result, many Web researchers
    are devoting much effort to improving the speed and capability of search technology.
article_processing_charge: No
article_type: review
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
citation:
  ama: Henzinger M. Search technologies for the internet. <i>Science</i>. 2007;317(5837):468-471.
    doi:<a href="https://doi.org/10.1126/science.1126557">10.1126/science.1126557</a>
  apa: Henzinger, M. (2007). Search technologies for the internet. <i>Science</i>.
    American Association for the Advancement of Science. <a href="https://doi.org/10.1126/science.1126557">https://doi.org/10.1126/science.1126557</a>
  chicago: Henzinger, Monika. “Search Technologies for the Internet.” <i>Science</i>.
    American Association for the Advancement of Science, 2007. <a href="https://doi.org/10.1126/science.1126557">https://doi.org/10.1126/science.1126557</a>.
  ieee: M. Henzinger, “Search technologies for the internet,” <i>Science</i>, vol.
    317, no. 5837. American Association for the Advancement of Science, pp. 468–471,
    2007.
  ista: Henzinger M. 2007. Search technologies for the internet. Science. 317(5837),
    468–471.
  mla: Henzinger, Monika. “Search Technologies for the Internet.” <i>Science</i>,
    vol. 317, no. 5837, American Association for the Advancement of Science, 2007,
    pp. 468–71, doi:<a href="https://doi.org/10.1126/science.1126557">10.1126/science.1126557</a>.
  short: M. Henzinger, Science 317 (2007) 468–471.
date_created: 2022-08-17T07:30:07Z
date_published: 2007-07-27T00:00:00Z
date_updated: 2024-11-06T12:01:07Z
day: '27'
doi: 10.1126/science.1126557
extern: '1'
external_id:
  pmid:
  - '17656714'
intvolume: '       317'
issue: '5837'
language:
- iso: eng
month: '07'
oa_version: None
page: 468-471
pmid: 1
publication: Science
publication_identifier:
  eissn:
  - 1095-9203
  issn:
  - 0036-8075
publication_status: published
publisher: American Association for the Advancement of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: Search technologies for the internet
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 317
year: '2007'
...
---
_id: '11924'
abstract:
- lang: eng
  text: 'How much can smart combinatorial algorithms improve web search engines? To
    address this question we will describe three algorithms that have had a positive
    impact on web search engines: The PageRank algorithm, algorithms for finding near-duplicate
    web pages, and algorithms for index server loadbalancing.'
article_processing_charge: No
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
citation:
  ama: 'Henzinger M. Combinatorial algorithms for web search engines: three success
    stories. In: <i>18th Annual ACM-SIAM Symposium on Discrete Algorithms</i>. Society
    for Industrial &#38; Applied Mathematics; 2007:1022-1026.'
  apa: 'Henzinger, M. (2007). Combinatorial algorithms for web search engines: three
    success stories. In <i>18th Annual ACM-SIAM Symposium on Discrete Algorithms</i>
    (pp. 1022–1026). New Orleans, LA, United States: Society for Industrial &#38;
    Applied Mathematics.'
  chicago: 'Henzinger, Monika. “Combinatorial Algorithms for Web Search Engines: Three
    Success Stories.” In <i>18th Annual ACM-SIAM Symposium on Discrete Algorithms</i>,
    1022–26. Society for Industrial &#38; Applied Mathematics, 2007.'
  ieee: 'M. Henzinger, “Combinatorial algorithms for web search engines: three success
    stories,” in <i>18th Annual ACM-SIAM Symposium on Discrete Algorithms</i>, New
    Orleans, LA, United States, 2007, pp. 1022–1026.'
  ista: 'Henzinger M. 2007. Combinatorial algorithms for web search engines: three
    success stories. 18th Annual ACM-SIAM Symposium on Discrete Algorithms. SODA:
    Symposium on Discrete Algorithms, 1022–1026.'
  mla: 'Henzinger, Monika. “Combinatorial Algorithms for Web Search Engines: Three
    Success Stories.” <i>18th Annual ACM-SIAM Symposium on Discrete Algorithms</i>,
    Society for Industrial &#38; Applied Mathematics, 2007, pp. 1022–26.'
  short: M. Henzinger, in:, 18th Annual ACM-SIAM Symposium on Discrete Algorithms,
    Society for Industrial &#38; Applied Mathematics, 2007, pp. 1022–1026.
conference:
  end_date: 2007-01-09
  location: New Orleans, LA, United States
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 2007-01-07
date_created: 2022-08-18T12:37:03Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2024-11-06T11:59:56Z
day: '01'
extern: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 1022-1026
publication: 18th Annual ACM-SIAM Symposium on Discrete Algorithms
publication_identifier:
  isbn:
  - '9780898716245'
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Combinatorial algorithms for web search engines: three success stories'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2007'
...
---
_id: '12201'
abstract:
- lang: eng
  text: The development of plant lateral organs is interesting because, although many
    of the same genes seem to be involved in the early growth of primordia, completely
    different gene combinations are required for the complete development of organs
    such as leaves and stamens. Thus, the genes common to the development of most
    organs, which generally form and polarize the primordial ‘envelope’, must at some
    stage interact with those that ‘install’ the functional content of the organ –
    in the case of the stamen, the four microsporangia. Although distinct genetic
    pathways of organ initiation, polarity establishment and setting up the reproductive
    cell line can readily be recognized, they do not occur sequentially. Rather, they
    are activated early and run in parallel. There is evidence for continuing crosstalk
    between these pathways.
acknowledgement: X.F. holds a Clarendon Scholarship from the University of Oxford.
  We thank Angela Hay and Jill Harrison for helpful advice and discussion.
article_processing_charge: No
article_type: original
author:
- first_name: Xiaoqi
  full_name: Feng, Xiaoqi
  id: e0164712-22ee-11ed-b12a-d80fcdf35958
  last_name: Feng
  orcid: 0000-0002-4008-1234
- first_name: Hugh G.
  full_name: Dickinson, Hugh G.
  last_name: Dickinson
citation:
  ama: Feng X, Dickinson HG. Packaging the male germline in plants. <i>Trends in Genetics</i>.
    2007;23(10):503-510. doi:<a href="https://doi.org/10.1016/j.tig.2007.08.005">10.1016/j.tig.2007.08.005</a>
  apa: Feng, X., &#38; Dickinson, H. G. (2007). Packaging the male germline in plants.
    <i>Trends in Genetics</i>. Elsevier BV. <a href="https://doi.org/10.1016/j.tig.2007.08.005">https://doi.org/10.1016/j.tig.2007.08.005</a>
  chicago: Feng, Xiaoqi, and Hugh G. Dickinson. “Packaging the Male Germline in Plants.”
    <i>Trends in Genetics</i>. Elsevier BV, 2007. <a href="https://doi.org/10.1016/j.tig.2007.08.005">https://doi.org/10.1016/j.tig.2007.08.005</a>.
  ieee: X. Feng and H. G. Dickinson, “Packaging the male germline in plants,” <i>Trends
    in Genetics</i>, vol. 23, no. 10. Elsevier BV, pp. 503–510, 2007.
  ista: Feng X, Dickinson HG. 2007. Packaging the male germline in plants. Trends
    in Genetics. 23(10), 503–510.
  mla: Feng, Xiaoqi, and Hugh G. Dickinson. “Packaging the Male Germline in Plants.”
    <i>Trends in Genetics</i>, vol. 23, no. 10, Elsevier BV, 2007, pp. 503–10, doi:<a
    href="https://doi.org/10.1016/j.tig.2007.08.005">10.1016/j.tig.2007.08.005</a>.
  short: X. Feng, H.G. Dickinson, Trends in Genetics 23 (2007) 503–510.
date_created: 2023-01-16T09:22:44Z
date_published: 2007-10-01T00:00:00Z
date_updated: 2023-05-08T10:58:47Z
department:
- _id: XiFe
doi: 10.1016/j.tig.2007.08.005
extern: '1'
external_id:
  pmid:
  - '17825943'
intvolume: '        23'
issue: '10'
keyword:
- Genetics
language:
- iso: eng
month: '10'
oa_version: None
page: 503-510
pmid: 1
publication: Trends in Genetics
publication_identifier:
  issn:
  - 0168-9525
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
scopus_import: '1'
status: public
title: Packaging the male germline in plants
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 23
year: '2007'
...
---
_id: '2665'
abstract:
- lang: eng
  text: Substance P (SP) is known to be a peptide that facilitates epileptic activity
    of principal cells in the hippocampus. Paradoxically, in other models, it was
    found to be protective against seizures by activating substance P receptor (SPR)-expressing
    interneurons. Thus, these cells appear to play an important role in the generation
    and regulation of epileptic seizures. The number, distribution, morphological
    features and input characteristics of SPR-immunoreactive cells were analyzed in
    surgically removed hippocampi of 28 temporal lobe epileptic patients and eight
    control hippocampi in order to examine their changes in epileptic tissues. SPR
    is expressed in a subset of inhibitory cells in the control human hippocampus,
    they are multipolar interneurons with smooth dendrites, present in all hippocampal
    subfields. This cell population is considerably different from SPR-positive cells
    of the rat hippocampus. The CA1 (cornu Ammonis subfield 1) region was chosen for
    the detailed morphological analysis of the SPR-immunoreactive cells because of
    its extreme vulnerability in epilepsy. The presence of various neurochemical markers
    identifies functionally distinct interneuron types, such as those responsible
    for perisomatic, dendritic or interneuron-selective inhibition. We found considerable
    colocalization of SPR with calbindin but not with parvalbumin, calretinin, cholecystokinin
    and somatostatin, therefore we suppose that SPR-positive cells participate mainly
    in dendritic inhibition. In the non-sclerotic CA1 region they are mainly preserved,
    whereas their number is decreased in the sclerotic cases. In the epileptic samples
    their morphology is considerably altered, they possessed more dendritic branches,
    which often became beaded. Analyses of synaptic coverage revealed that the ratio
    of symmetric synaptic input of SPR-immunoreactive cells has increased in epileptic
    samples. Our results suggest that SPR-positive cells are preserved while principal
    cells are present in the CA1 region, but show reactive changes in epilepsy including
    intense branching and growth of their dendritic arborization.
author:
- first_name: Kinga
  full_name: Tóth, Kinga
  last_name: Tóth
- first_name: Lucia
  full_name: Wittner, Lucia
  last_name: Wittner
- first_name: Z
  full_name: Urbán, Z
  last_name: Urbán
- first_name: Werner
  full_name: Doyle, Werner K
  last_name: Doyle
- first_name: György
  full_name: Buzsáki, György
  last_name: Buzsáki
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Tamás
  full_name: Freund, Tamás F
  last_name: Freund
- first_name: Zsófia
  full_name: Maglóczky, Zsófia
  last_name: Maglóczky
citation:
  ama: Tóth K, Wittner L, Urbán Z, et al. Morphology and synaptic input of substance
    P receptor-immunoreactive interneurons in control and epileptic human hippocampus.
    <i>Neuroscience</i>. 2007;144(2):495-508. doi:<a href="https://doi.org/10.1016/j.neuroscience.2006.09.039">10.1016/j.neuroscience.2006.09.039</a>
  apa: Tóth, K., Wittner, L., Urbán, Z., Doyle, W., Buzsáki, G., Shigemoto, R., …
    Maglóczky, Z. (2007). Morphology and synaptic input of substance P receptor-immunoreactive
    interneurons in control and epileptic human hippocampus. <i>Neuroscience</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.neuroscience.2006.09.039">https://doi.org/10.1016/j.neuroscience.2006.09.039</a>
  chicago: Tóth, Kinga, Lucia Wittner, Z Urbán, Werner Doyle, György Buzsáki, Ryuichi
    Shigemoto, Tamás Freund, and Zsófia Maglóczky. “Morphology and Synaptic Input
    of Substance P Receptor-Immunoreactive Interneurons in Control and Epileptic Human
    Hippocampus.” <i>Neuroscience</i>. Elsevier, 2007. <a href="https://doi.org/10.1016/j.neuroscience.2006.09.039">https://doi.org/10.1016/j.neuroscience.2006.09.039</a>.
  ieee: K. Tóth <i>et al.</i>, “Morphology and synaptic input of substance P receptor-immunoreactive
    interneurons in control and epileptic human hippocampus,” <i>Neuroscience</i>,
    vol. 144, no. 2. Elsevier, pp. 495–508, 2007.
  ista: Tóth K, Wittner L, Urbán Z, Doyle W, Buzsáki G, Shigemoto R, Freund T, Maglóczky
    Z. 2007. Morphology and synaptic input of substance P receptor-immunoreactive
    interneurons in control and epileptic human hippocampus. Neuroscience. 144(2),
    495–508.
  mla: Tóth, Kinga, et al. “Morphology and Synaptic Input of Substance P Receptor-Immunoreactive
    Interneurons in Control and Epileptic Human Hippocampus.” <i>Neuroscience</i>,
    vol. 144, no. 2, Elsevier, 2007, pp. 495–508, doi:<a href="https://doi.org/10.1016/j.neuroscience.2006.09.039">10.1016/j.neuroscience.2006.09.039</a>.
  short: K. Tóth, L. Wittner, Z. Urbán, W. Doyle, G. Buzsáki, R. Shigemoto, T. Freund,
    Z. Maglóczky, Neuroscience 144 (2007) 495–508.
date_created: 2018-12-11T11:58:57Z
date_published: 2007-01-19T00:00:00Z
date_updated: 2021-01-12T06:58:55Z
day: '19'
doi: 10.1016/j.neuroscience.2006.09.039
extern: 1
intvolume: '       144'
issue: '2'
month: '01'
page: 495 - 508
publication: Neuroscience
publication_status: published
publisher: Elsevier
publist_id: '4232'
quality_controlled: 0
status: public
title: Morphology and synaptic input of substance P receptor-immunoreactive interneurons
  in control and epileptic human hippocampus
type: journal_article
volume: 144
year: '2007'
...
---
_id: '2666'
abstract:
- lang: eng
  text: GABAB receptors (GABABRs) are involved in early events during neuronal development.
    The presence of GABABRs in developing oligodendrocytes has not been established.
    Using immunofluorescent co-localization, we have identified GABABR proteins in
    O4 marker-positive oligodendrocyte precursor cells (OPCs) in 4-day-old mouse brain
    periventricular white matter. In culture, OPCs, differentiated oligodendrocytes
    (DOs) and type 2 astrocytes (ASTs) express both the GABAB1abcdf and GABAB2 subunits
    of the GABABR. Using semiquantitative PCR analysis with GABABR isoform-selective
    primers we found that the expression level of GABAB1abd was substantially higher
    in OPCs or ASTs than in DOs. In contrast, the GABAB2 isoform showed a similar
    level of expression in OPCs and DOs, and a significantly higher level in ASTs.
    This indicates that the expression of GABAB1 and GABAB2 subunits are under independent
    control during oligodendroglial development. Activation of GABABRs using the selective
    agonist baclofen demonstrated that these receptors are functionally active and
    negatively coupled to adenylyl cyclase. Manipulation of GABABR activity had no
    effect on OPC migration in a conventional agarose drop assay, whereas baclofen
    significantly increased OPC migration in a more sensitive transwell microchamber-based
    assay. Exposure of cultured OPCs to baclofen increased their proliferation, providing
    evidence for a functional role of GABABRs in oligodendrocyte development. The
    presence of GABABRs in developing oligodendrocytes provides a new mechanism for
    neuronal-glial interactions during development and may offer a novel target for
    promoting remyelination following white matter injury.
author:
- first_name: Karen
  full_name: Luyt, Karen
  last_name: Luyt
- first_name: Timothy
  full_name: Slade, Timothy P
  last_name: Slade
- first_name: Jienchi
  full_name: Dorward, Jienchi J
  last_name: Dorward
- first_name: Claire
  full_name: Durant, Claire F
  last_name: Durant
- first_name: Yue
  full_name: Wu, Yue
  last_name: Wu
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Stuart
  full_name: Mundell, Stuart J
  last_name: Mundell
- first_name: Anikó
  full_name: Váradi, Anikó
  last_name: Váradi
- first_name: Elek
  full_name: Molnár, Elek
  last_name: Molnár
citation:
  ama: Luyt K, Slade T, Dorward J, et al. Developing oligodendrocytes express functional
    GABAB receptors that stimulate cell proliferation and migration. <i>Journal of
    Neurochemistry</i>. 2007;100(3):822-840. doi:<a href="https://doi.org/10.1111/j.1471-4159.2006.04255.x">10.1111/j.1471-4159.2006.04255.x</a>
  apa: Luyt, K., Slade, T., Dorward, J., Durant, C., Wu, Y., Shigemoto, R., … Molnár,
    E. (2007). Developing oligodendrocytes express functional GABAB receptors that
    stimulate cell proliferation and migration. <i>Journal of Neurochemistry</i>.
    Wiley-Blackwell. <a href="https://doi.org/10.1111/j.1471-4159.2006.04255.x">https://doi.org/10.1111/j.1471-4159.2006.04255.x</a>
  chicago: Luyt, Karen, Timothy Slade, Jienchi Dorward, Claire Durant, Yue Wu, Ryuichi
    Shigemoto, Stuart Mundell, Anikó Váradi, and Elek Molnár. “Developing Oligodendrocytes
    Express Functional GABAB Receptors That Stimulate Cell Proliferation and Migration.”
    <i>Journal of Neurochemistry</i>. Wiley-Blackwell, 2007. <a href="https://doi.org/10.1111/j.1471-4159.2006.04255.x">https://doi.org/10.1111/j.1471-4159.2006.04255.x</a>.
  ieee: K. Luyt <i>et al.</i>, “Developing oligodendrocytes express functional GABAB
    receptors that stimulate cell proliferation and migration,” <i>Journal of Neurochemistry</i>,
    vol. 100, no. 3. Wiley-Blackwell, pp. 822–840, 2007.
  ista: Luyt K, Slade T, Dorward J, Durant C, Wu Y, Shigemoto R, Mundell S, Váradi
    A, Molnár E. 2007. Developing oligodendrocytes express functional GABAB receptors
    that stimulate cell proliferation and migration. Journal of Neurochemistry. 100(3),
    822–840.
  mla: Luyt, Karen, et al. “Developing Oligodendrocytes Express Functional GABAB Receptors
    That Stimulate Cell Proliferation and Migration.” <i>Journal of Neurochemistry</i>,
    vol. 100, no. 3, Wiley-Blackwell, 2007, pp. 822–40, doi:<a href="https://doi.org/10.1111/j.1471-4159.2006.04255.x">10.1111/j.1471-4159.2006.04255.x</a>.
  short: K. Luyt, T. Slade, J. Dorward, C. Durant, Y. Wu, R. Shigemoto, S. Mundell,
    A. Váradi, E. Molnár, Journal of Neurochemistry 100 (2007) 822–840.
date_created: 2018-12-11T11:58:57Z
date_published: 2007-02-01T00:00:00Z
date_updated: 2021-01-12T06:58:55Z
day: '01'
doi: 10.1111/j.1471-4159.2006.04255.x
extern: 1
intvolume: '       100'
issue: '3'
month: '02'
page: 822 - 840
publication: Journal of Neurochemistry
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4231'
quality_controlled: 0
status: public
title: Developing oligodendrocytes express functional GABAB receptors that stimulate
  cell proliferation and migration
type: journal_article
volume: 100
year: '2007'
...
---
_id: '2667'
abstract:
- lang: eng
  text: The number of AMPA receptor (AMPAR) is the major determinant of synaptic strength
    at glutamatergic synapses, but little is known about the absolute number and density
    of AMPARs in individual synapses. Using SDS-digested freeze-fracture replica labeling,
    which has high detection efficiency comparable with electrophysiological noise
    analysis for functional AMPAR, we analyzed three kinds of excitatory synapses
    in the molecular layer of the adult rat cerebellum. In parallel fiber (PF)-Purkinje
    cell (PC) synapses, we found large variability in the number (38.1 ± 34.4 particles
    per synapse, mean ± SD; range, 2-178 particles per synapse) and density (437 ±
    277 particles/μm2; range, 48-1210 particles/μm2) of immunogold-labeled AMPARs.
    Two-dimensional view and high sensitivity of this method revealed irregular-shaped
    small AMPAR clusters within synapses. Climbing fiber (CF)-PC synapses had higher
    number of AMPAR labeling (68.6 ± 34.5 particles per synapse) than PF-PC and PF-interneuron
    synapses (36.8 ± 14.4 particles per synapse). Furthermore, AMPAR density at CF-PC
    and PF-interneuron synapses was approximately five times higher and more uniform
    than that at PF-PC synapses. These results suggest input- and target-dependent
    regulation of AMPAR-mediated synaptic strength.
author:
- first_name: Miwako
  full_name: Masugi-Tokita, Miwako
  last_name: Masugi Tokita
- first_name: Etsuko
  full_name: Tarusawa, Etsuko
  last_name: Tarusawa
- first_name: Masahiko
  full_name: Watanabe, Masahiko
  last_name: Watanabe
- first_name: Elek
  full_name: Molnár, Elek
  last_name: Molnár
- first_name: Kazushi
  full_name: Fujimoto, Kazushi
  last_name: Fujimoto
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
citation:
  ama: Masugi Tokita M, Tarusawa E, Watanabe M, Molnár E, Fujimoto K, Shigemoto R.
    Number and density of AMPA receptors in individual synapses in the rat cerebellum
    as revealed by SDS-digested freeze-fracture replica labeling. <i>Journal of Neuroscience</i>.
    2007;27(8):2135-2144. doi:<a href="https://doi.org/10.1523/JNEUROSCI.2861-06.2007">10.1523/JNEUROSCI.2861-06.2007</a>
  apa: Masugi Tokita, M., Tarusawa, E., Watanabe, M., Molnár, E., Fujimoto, K., &#38;
    Shigemoto, R. (2007). Number and density of AMPA receptors in individual synapses
    in the rat cerebellum as revealed by SDS-digested freeze-fracture replica labeling.
    <i>Journal of Neuroscience</i>. Society for Neuroscience. <a href="https://doi.org/10.1523/JNEUROSCI.2861-06.2007">https://doi.org/10.1523/JNEUROSCI.2861-06.2007</a>
  chicago: Masugi Tokita, Miwako, Etsuko Tarusawa, Masahiko Watanabe, Elek Molnár,
    Kazushi Fujimoto, and Ryuichi Shigemoto. “Number and Density of AMPA Receptors
    in Individual Synapses in the Rat Cerebellum as Revealed by SDS-Digested Freeze-Fracture
    Replica Labeling.” <i>Journal of Neuroscience</i>. Society for Neuroscience, 2007.
    <a href="https://doi.org/10.1523/JNEUROSCI.2861-06.2007">https://doi.org/10.1523/JNEUROSCI.2861-06.2007</a>.
  ieee: M. Masugi Tokita, E. Tarusawa, M. Watanabe, E. Molnár, K. Fujimoto, and R.
    Shigemoto, “Number and density of AMPA receptors in individual synapses in the
    rat cerebellum as revealed by SDS-digested freeze-fracture replica labeling,”
    <i>Journal of Neuroscience</i>, vol. 27, no. 8. Society for Neuroscience, pp.
    2135–2144, 2007.
  ista: Masugi Tokita M, Tarusawa E, Watanabe M, Molnár E, Fujimoto K, Shigemoto R.
    2007. Number and density of AMPA receptors in individual synapses in the rat cerebellum
    as revealed by SDS-digested freeze-fracture replica labeling. Journal of Neuroscience.
    27(8), 2135–2144.
  mla: Masugi Tokita, Miwako, et al. “Number and Density of AMPA Receptors in Individual
    Synapses in the Rat Cerebellum as Revealed by SDS-Digested Freeze-Fracture Replica
    Labeling.” <i>Journal of Neuroscience</i>, vol. 27, no. 8, Society for Neuroscience,
    2007, pp. 2135–44, doi:<a href="https://doi.org/10.1523/JNEUROSCI.2861-06.2007">10.1523/JNEUROSCI.2861-06.2007</a>.
  short: M. Masugi Tokita, E. Tarusawa, M. Watanabe, E. Molnár, K. Fujimoto, R. Shigemoto,
    Journal of Neuroscience 27 (2007) 2135–2144.
date_created: 2018-12-11T11:58:58Z
date_published: 2007-02-21T00:00:00Z
date_updated: 2021-01-12T06:58:55Z
day: '21'
doi: 10.1523/JNEUROSCI.2861-06.2007
extern: 1
intvolume: '        27'
issue: '8'
month: '02'
page: 2135 - 2144
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '4230'
quality_controlled: 0
status: public
title: Number and density of AMPA receptors in individual synapses in the rat cerebellum
  as revealed by SDS-digested freeze-fracture replica labeling
type: journal_article
volume: 27
year: '2007'
...
---
_id: '2668'
abstract:
- lang: eng
  text: Hyperpolarization-activated, cyclic nucleotide-gated cation (HCN) channels
    are expressed postsynaptically in the rodent globus pallidus (GP), where they
    play several important roles in controlling GP neuronal activity. To further elucidate
    the role of HCN channels in the GP, immunocytochemical and electrophysiological
    approaches were used to test the hypothesis that HCN channels are also expressed
    presynaptically on the local axon collaterals of GP neurons. At the electron microscopic
    level, immunoperoxidase labelling for HCN1 and HCN2 was localized in GP somata
    and dendritic processes, myelinated and unmyelinated axons, and axon terminals.
    One population of labelled terminals formed symmetric synapses with somata and
    proximal dendrites and were immunoreactive for parvalbumin, consistent with the
    axon collaterals of GABAergic GP projection neurons. In addition, labelling for
    HCN2 and, to a lesser degree, HCN1 was observed in axon terminals that formed
    asymmetric synapses and were immunoreactive for the vesicular glutamate transporter
    2. Immunogold labelling demonstrated that HCN1 and HCN2 were located predominantly
    at extrasynaptic sites along the plasma membrane of both types of terminal. To
    determine the function of presynaptic HCN channels in the GP, we performed whole-cell
    recordings from GP neurons in vitro. Bath application of the HCN channel blocker
    ZD7288 resulted in an increase in the frequency of mIPSCs but had no effect on
    their amplitude, implying that HCN channels tonically regulate the release of
    GABA. Their presence, and predicted role in modulating transmitter release, represents
    a hitherto unidentified mechanism whereby HCN channels influence the activity
    of GP neurons.
author:
- first_name: Justin
  full_name: Boyes, Justin
  last_name: Boyes
- first_name: John
  full_name: Bolam, John P
  last_name: Bolam
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Ian
  full_name: Stanford, Ian M
  last_name: Stanford
citation:
  ama: Boyes J, Bolam J, Shigemoto R, Stanford I. Functional presynaptic HCN channels
    in the rat globus pallidus. <i>European Journal of Neuroscience</i>. 2007;25(7):2081-2092.
    doi:<a href="https://doi.org/10.1111/j.1460-9568.2007.05463.x">10.1111/j.1460-9568.2007.05463.x</a>
  apa: Boyes, J., Bolam, J., Shigemoto, R., &#38; Stanford, I. (2007). Functional
    presynaptic HCN channels in the rat globus pallidus. <i>European Journal of Neuroscience</i>.
    Wiley-Blackwell. <a href="https://doi.org/10.1111/j.1460-9568.2007.05463.x">https://doi.org/10.1111/j.1460-9568.2007.05463.x</a>
  chicago: Boyes, Justin, John Bolam, Ryuichi Shigemoto, and Ian Stanford. “Functional
    Presynaptic HCN Channels in the Rat Globus Pallidus.” <i>European Journal of Neuroscience</i>.
    Wiley-Blackwell, 2007. <a href="https://doi.org/10.1111/j.1460-9568.2007.05463.x">https://doi.org/10.1111/j.1460-9568.2007.05463.x</a>.
  ieee: J. Boyes, J. Bolam, R. Shigemoto, and I. Stanford, “Functional presynaptic
    HCN channels in the rat globus pallidus,” <i>European Journal of Neuroscience</i>,
    vol. 25, no. 7. Wiley-Blackwell, pp. 2081–2092, 2007.
  ista: Boyes J, Bolam J, Shigemoto R, Stanford I. 2007. Functional presynaptic HCN
    channels in the rat globus pallidus. European Journal of Neuroscience. 25(7),
    2081–2092.
  mla: Boyes, Justin, et al. “Functional Presynaptic HCN Channels in the Rat Globus
    Pallidus.” <i>European Journal of Neuroscience</i>, vol. 25, no. 7, Wiley-Blackwell,
    2007, pp. 2081–92, doi:<a href="https://doi.org/10.1111/j.1460-9568.2007.05463.x">10.1111/j.1460-9568.2007.05463.x</a>.
  short: J. Boyes, J. Bolam, R. Shigemoto, I. Stanford, European Journal of Neuroscience
    25 (2007) 2081–2092.
date_created: 2018-12-11T11:58:58Z
date_published: 2007-04-01T00:00:00Z
date_updated: 2021-01-12T06:58:56Z
day: '01'
doi: 10.1111/j.1460-9568.2007.05463.x
extern: 1
intvolume: '        25'
issue: '7'
month: '04'
page: 2081 - 2092
publication: European Journal of Neuroscience
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4228'
quality_controlled: 0
status: public
title: Functional presynaptic HCN channels in the rat globus pallidus
type: journal_article
volume: 25
year: '2007'
...
---
_id: '2669'
abstract:
- lang: eng
  text: The properties of the hyperpolarization-activated current (Ih) and its roles
    in hippocampal network function evolve radically during development. Because Ih
    is conducted by the hyperpolarization- activated cyclic nucleotide-gated (HCN)
    cation channels, we tested the hypothesis that understanding the quantitative
    developmental profiles of HCN1, HCN2, and HCN4 expression, and the isoform- and
    age-specific progression of their subcellular distribution, should shed light
    on the established modifications of the properties of Ih throughout development.
    Combined quantitative in situ hybridization, regional western blots, and high-resolution,
    dual-label immunocytochemistry revealed striking and novel information about the
    expression and distribution of the HCN channel isoforms in the developing hippocampal
    formation. In cornus ammon 1 (CA) pyramidal cell layer, a robust increase of HCN1
    mRNA and protein expression occurred with age, with reciprocal reduction of HCN4
    and relatively stable HCN2 levels. These distinct expression patterns raised the
    contribution of HCN1 to the total HCN channel pool from 33% to 65% consonant with
    acceleration and reduced cyclic adenosine mono phosphate (cAMP) sensitivity of
    Ih in this region with age. In CA3, strong expression of HCN1 already neonatally
    supports the recently established role of this conductance in neonatal, age-specific,
    hippocampal oscillations (giant depolarizing potentials). Notably, HCN1 channels
    were present and probably transported to dendritic compartments already on postnatal
    day (P) 2, whereas HCN2 channel protein was not evident in dendrites for the first
    2 weeks of life. HCN2 mRNA and protein expression remained fairly constant subsequent
    to the first week of life in all hippocampal subfields examined, whereas HCN4
    mRNA and protein expression declined after maximal neonatal expression, so that
    the contribution of this isoform to the total HCN channel pool dropped from 43%
    (CA1) and 34% (CA3) on P11 to 8% (CA1) and 19% (CA3) on P90. Interneuronal expression
    of all HCN channel isoforms in stratum pyramidale was robust in parvalbumin-but
    not in cholecystokinin-expressing populations and with a subunit-specific subcellular
    distribution. Taken together, these data suggest that early in life, HCN4 may
    contribute significantly to the functions of Ih in specific hippocampal regions.
    In addition, these evolving, differential quantitative, and subcellular expression
    patterns of the HCN channel isoforms support age-specific properties and functions
    of Ih within the developing hippocampal formation.
author:
- first_name: Amy
  full_name: Brewster, Amy L
  last_name: Brewster
- first_name: Yuncai
  full_name: Chen, Yuncai
  last_name: Chen
- first_name: Roland
  full_name: Bender, Roland A
  last_name: Bender
- first_name: Amy
  full_name: Yeh, Amy
  last_name: Yeh
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Tallie
  full_name: Baram, Tallie Z
  last_name: Baram
citation:
  ama: Brewster A, Chen Y, Bender R, Yeh A, Shigemoto R, Baram T. Quantitative analysis
    and subcellular distribution of mRNA and protein expression of the hyperpolarization-activated
    cyclic nucleotide-gated channels throughout development in rat hippocampus. <i>Cerebral
    Cortex</i>. 2007;17(3):702-712. doi:<a href="https://doi.org/10.1093/cercor/bhk021">10.1093/cercor/bhk021</a>
  apa: Brewster, A., Chen, Y., Bender, R., Yeh, A., Shigemoto, R., &#38; Baram, T.
    (2007). Quantitative analysis and subcellular distribution of mRNA and protein
    expression of the hyperpolarization-activated cyclic nucleotide-gated channels
    throughout development in rat hippocampus. <i>Cerebral Cortex</i>. Oxford University
    Press. <a href="https://doi.org/10.1093/cercor/bhk021">https://doi.org/10.1093/cercor/bhk021</a>
  chicago: Brewster, Amy, Yuncai Chen, Roland Bender, Amy Yeh, Ryuichi Shigemoto,
    and Tallie Baram. “Quantitative Analysis and Subcellular Distribution of MRNA
    and Protein Expression of the Hyperpolarization-Activated Cyclic Nucleotide-Gated
    Channels throughout Development in Rat Hippocampus.” <i>Cerebral Cortex</i>. Oxford
    University Press, 2007. <a href="https://doi.org/10.1093/cercor/bhk021">https://doi.org/10.1093/cercor/bhk021</a>.
  ieee: A. Brewster, Y. Chen, R. Bender, A. Yeh, R. Shigemoto, and T. Baram, “Quantitative
    analysis and subcellular distribution of mRNA and protein expression of the hyperpolarization-activated
    cyclic nucleotide-gated channels throughout development in rat hippocampus,” <i>Cerebral
    Cortex</i>, vol. 17, no. 3. Oxford University Press, pp. 702–712, 2007.
  ista: Brewster A, Chen Y, Bender R, Yeh A, Shigemoto R, Baram T. 2007. Quantitative
    analysis and subcellular distribution of mRNA and protein expression of the hyperpolarization-activated
    cyclic nucleotide-gated channels throughout development in rat hippocampus. Cerebral
    Cortex. 17(3), 702–712.
  mla: Brewster, Amy, et al. “Quantitative Analysis and Subcellular Distribution of
    MRNA and Protein Expression of the Hyperpolarization-Activated Cyclic Nucleotide-Gated
    Channels throughout Development in Rat Hippocampus.” <i>Cerebral Cortex</i>, vol.
    17, no. 3, Oxford University Press, 2007, pp. 702–12, doi:<a href="https://doi.org/10.1093/cercor/bhk021">10.1093/cercor/bhk021</a>.
  short: A. Brewster, Y. Chen, R. Bender, A. Yeh, R. Shigemoto, T. Baram, Cerebral
    Cortex 17 (2007) 702–712.
date_created: 2018-12-11T11:58:58Z
date_published: 2007-03-01T00:00:00Z
date_updated: 2021-01-12T06:58:56Z
day: '01'
doi: 10.1093/cercor/bhk021
extern: 1
intvolume: '        17'
issue: '3'
month: '03'
page: 702 - 712
publication: Cerebral Cortex
publication_status: published
publisher: Oxford University Press
publist_id: '4229'
quality_controlled: 0
status: public
title: Quantitative analysis and subcellular distribution of mRNA and protein expression
  of the hyperpolarization-activated cyclic nucleotide-gated channels throughout development
  in rat hippocampus
type: journal_article
volume: 17
year: '2007'
...
---
_id: '2670'
abstract:
- lang: eng
  text: Glutamate and GABA are the main transmitters in the central nervous system
    and their effects are mediated by ionotropic and metabotropic receptors. Immunogold
    electron microscopy has revealed the quantitative localization of these receptors
    at 20-30 nm resolution. SDS-digested freeze-fracture replica labeling (SDS-FRL),
    a newly developed immunogold method, provides an accurate estimate of molecule
    numbers. Here, we summarize the recent advances in quantitative receptor localization,
    including use of SDS-FRL analyses to determine numbers of AMPA-type glutamate
    receptors in the cerebellum. The two-dimensional view and high sensitivity of
    SDS-FRL have revealed small, irregularly shaped AMPA receptor clusters within
    cerebellar synapses.
author:
- first_name: Miwako
  full_name: Masugi-Tokita, Miwako
  last_name: Masugi Tokita
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
citation:
  ama: Masugi Tokita M, Shigemoto R. High-resolution quantitative visualization of
    glutamate and GABA receptors at central synapses. <i>Current Opinion in Neurobiology</i>.
    2007;17(3):387-393. doi:<a href="https://doi.org/10.1016/j.conb.2007.04.012">10.1016/j.conb.2007.04.012</a>
  apa: Masugi Tokita, M., &#38; Shigemoto, R. (2007). High-resolution quantitative
    visualization of glutamate and GABA receptors at central synapses. <i>Current
    Opinion in Neurobiology</i>. Elsevier. <a href="https://doi.org/10.1016/j.conb.2007.04.012">https://doi.org/10.1016/j.conb.2007.04.012</a>
  chicago: Masugi Tokita, Miwako, and Ryuichi Shigemoto. “High-Resolution Quantitative
    Visualization of Glutamate and GABA Receptors at Central Synapses.” <i>Current
    Opinion in Neurobiology</i>. Elsevier, 2007. <a href="https://doi.org/10.1016/j.conb.2007.04.012">https://doi.org/10.1016/j.conb.2007.04.012</a>.
  ieee: M. Masugi Tokita and R. Shigemoto, “High-resolution quantitative visualization
    of glutamate and GABA receptors at central synapses,” <i>Current Opinion in Neurobiology</i>,
    vol. 17, no. 3. Elsevier, pp. 387–393, 2007.
  ista: Masugi Tokita M, Shigemoto R. 2007. High-resolution quantitative visualization
    of glutamate and GABA receptors at central synapses. Current Opinion in Neurobiology.
    17(3), 387–393.
  mla: Masugi Tokita, Miwako, and Ryuichi Shigemoto. “High-Resolution Quantitative
    Visualization of Glutamate and GABA Receptors at Central Synapses.” <i>Current
    Opinion in Neurobiology</i>, vol. 17, no. 3, Elsevier, 2007, pp. 387–93, doi:<a
    href="https://doi.org/10.1016/j.conb.2007.04.012">10.1016/j.conb.2007.04.012</a>.
  short: M. Masugi Tokita, R. Shigemoto, Current Opinion in Neurobiology 17 (2007)
    387–393.
date_created: 2018-12-11T11:58:58Z
date_published: 2007-06-01T00:00:00Z
date_updated: 2020-07-14T12:45:44Z
day: '01'
doi: 10.1016/j.conb.2007.04.012
extern: 1
intvolume: '        17'
issue: '3'
month: '06'
page: 387 - 393
publication: Current Opinion in Neurobiology
publication_status: published
publisher: Elsevier
publist_id: '4226'
quality_controlled: 0
status: public
title: High-resolution quantitative visualization of glutamate and GABA receptors
  at central synapses
type: review
volume: 17
year: '2007'
...
---
_id: '2671'
abstract:
- lang: eng
  text: 'Increasing evidence supports roles for the current mediated by hyperpolarization-activated
    cyclic nucleotide-gated (HCN) channels, I h, in hippocampal maturation and specifically
    in the evolving changes of intrinsic properties as well as network responses of
    hippocampal neurons. Here, we describe a novel developmental plasticity of HCN
    channel expression in axonal and presynaptic compartments: HCN1 channels were
    localized to axon terminals of the perforant path (the major hippocampal afferent
    pathway) of immature rats, where they modulated synaptic efficacy. However, presynaptic
    expression and functions of the channels disappeared with maturation. This was
    a result of altered channel transport to the axons, because HCN1 mRNA and protein
    levels in entorhinal cortex neurons, where the perforant path axons originate,
    were stable through adulthood. Blocking action potential firing in vitro increased
    presynaptic expression of HCN1 channels in the perforant path, suggesting that
    network activity contributed to regulating this expression. These findings support
    a novel developmentally regulated axonal transport of functional ion channels
    and suggest a role for HCN1 channel-mediated presynaptic I h in hippocampal maturation.'
author:
- first_name: Roland
  full_name: Bender, Roland A
  last_name: Bender
- first_name: Timo
  full_name: Kirschstein, Timo
  last_name: Kirschstein
- first_name: Oliver
  full_name: Kretz, Oliver
  last_name: Kretz
- first_name: Amy
  full_name: Brewster, Amy L
  last_name: Brewster
- first_name: Cristina
  full_name: Richichi, Cristina
  last_name: Richichi
- first_name: Christiane
  full_name: Rüschenschmidt, Christiane
  last_name: Rüschenschmidt
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Heinz
  full_name: Beck,Heinz
  last_name: Beck
- first_name: Michael
  full_name: Frotscher, Michael
  last_name: Frotscher
- first_name: Tallie
  full_name: Baram, Tallie Z
  last_name: Baram
citation:
  ama: 'Bender R, Kirschstein T, Kretz O, et al. Localization of HCN1 channels to
    presynaptic compartments: Novel plasticity that may contribute to hippocampal
    maturation. <i>Journal of Neuroscience</i>. 2007;27(17):4697-4706. doi:<a href="https://doi.org/10.1523/JNEUROSCI.4699-06.2007">10.1523/JNEUROSCI.4699-06.2007</a>'
  apa: 'Bender, R., Kirschstein, T., Kretz, O., Brewster, A., Richichi, C., Rüschenschmidt,
    C., … Baram, T. (2007). Localization of HCN1 channels to presynaptic compartments:
    Novel plasticity that may contribute to hippocampal maturation. <i>Journal of
    Neuroscience</i>. Society for Neuroscience. <a href="https://doi.org/10.1523/JNEUROSCI.4699-06.2007">https://doi.org/10.1523/JNEUROSCI.4699-06.2007</a>'
  chicago: 'Bender, Roland, Timo Kirschstein, Oliver Kretz, Amy Brewster, Cristina
    Richichi, Christiane Rüschenschmidt, Ryuichi Shigemoto, Heinz Beck, Michael Frotscher,
    and Tallie Baram. “Localization of HCN1 Channels to Presynaptic Compartments:
    Novel Plasticity That May Contribute to Hippocampal Maturation.” <i>Journal of
    Neuroscience</i>. Society for Neuroscience, 2007. <a href="https://doi.org/10.1523/JNEUROSCI.4699-06.2007">https://doi.org/10.1523/JNEUROSCI.4699-06.2007</a>.'
  ieee: 'R. Bender <i>et al.</i>, “Localization of HCN1 channels to presynaptic compartments:
    Novel plasticity that may contribute to hippocampal maturation,” <i>Journal of
    Neuroscience</i>, vol. 27, no. 17. Society for Neuroscience, pp. 4697–4706, 2007.'
  ista: 'Bender R, Kirschstein T, Kretz O, Brewster A, Richichi C, Rüschenschmidt
    C, Shigemoto R, Beck H, Frotscher M, Baram T. 2007. Localization of HCN1 channels
    to presynaptic compartments: Novel plasticity that may contribute to hippocampal
    maturation. Journal of Neuroscience. 27(17), 4697–4706.'
  mla: 'Bender, Roland, et al. “Localization of HCN1 Channels to Presynaptic Compartments:
    Novel Plasticity That May Contribute to Hippocampal Maturation.” <i>Journal of
    Neuroscience</i>, vol. 27, no. 17, Society for Neuroscience, 2007, pp. 4697–706,
    doi:<a href="https://doi.org/10.1523/JNEUROSCI.4699-06.2007">10.1523/JNEUROSCI.4699-06.2007</a>.'
  short: R. Bender, T. Kirschstein, O. Kretz, A. Brewster, C. Richichi, C. Rüschenschmidt,
    R. Shigemoto, H. Beck, M. Frotscher, T. Baram, Journal of Neuroscience 27 (2007)
    4697–4706.
date_created: 2018-12-11T11:58:59Z
date_published: 2007-04-25T00:00:00Z
date_updated: 2021-01-12T06:58:57Z
day: '25'
doi: 10.1523/JNEUROSCI.4699-06.2007
extern: 1
intvolume: '        27'
issue: '17'
month: '04'
page: 4697 - 4706
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '4227'
quality_controlled: 0
status: public
title: 'Localization of HCN1 channels to presynaptic compartments: Novel plasticity
  that may contribute to hippocampal maturation'
type: journal_article
volume: 27
year: '2007'
...
---
_id: '2672'
abstract:
- lang: eng
  text: Hyperpolarization-activated cyclic nucleotide-modulated (HCN) &quot;pacemaker&quot;
    channel subunits are integral membrane proteins that assemble as tetramers to
    form channels in cardiac conduction tissue and nerve cells. Previous studies have
    suggested that the HCN2 and HCN4 channel isoforms physically interact when overexpressed
    in mammalian cells, but whether they are able to co-assemble and form functional
    channels remains unclear. The extent to which co-assembly occurs over self-assembly
    and whether HCN2-HCN4 heteromeric channels are formed in native tissue are not
    known. In this study, we show co-assembly of HCN2 and HCN4 in live Chinese hamster
    ovary cells using bioluminescence resonance energy transfer (BRET2), a novel approach
    for studying tetramerization of ion channel subunits. Together with results from
    electrophysiological and imaging approaches, the BRET2 data show that HCN2 and
    HCN4 subunits self-assemble and co-assemble with equal preference. We also demonstrate
    colocalization of HCN2 and HCN4 and a positive correlation of their intensities
    in the embryonic mouse heart using immunohistochemistry, as well as physical interactions
    between these isoforms in the rat thalamus by coimmunoprecipitation. Together,
    these data support the formation of HCN2-HCN4 heteromeric channels in native tissue.
author:
- first_name: Gina
  full_name: Whitaker, Gina M
  last_name: Whitaker
- first_name: Damiano
  full_name: Angoli, Damiano
  last_name: Angoli
- first_name: Hamed
  full_name: Nazzari, Hamed
  last_name: Nazzari
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Eric
  full_name: Accili, Eric A
  last_name: Accili
citation:
  ama: Whitaker G, Angoli D, Nazzari H, Shigemoto R, Accili E. HCN2 and HCN4 isoforms
    self-assemble and co-assemble with equal preference to form functional pacemaker
    channels. <i>Journal of Biological Chemistry</i>. 2007;282(31):22900-22909. doi:<a
    href="https://doi.org/10.1074/jbc.M610978200">10.1074/jbc.M610978200</a>
  apa: Whitaker, G., Angoli, D., Nazzari, H., Shigemoto, R., &#38; Accili, E. (2007).
    HCN2 and HCN4 isoforms self-assemble and co-assemble with equal preference to
    form functional pacemaker channels. <i>Journal of Biological Chemistry</i>. American
    Society for Biochemistry and Molecular Biology. <a href="https://doi.org/10.1074/jbc.M610978200">https://doi.org/10.1074/jbc.M610978200</a>
  chicago: Whitaker, Gina, Damiano Angoli, Hamed Nazzari, Ryuichi Shigemoto, and Eric
    Accili. “HCN2 and HCN4 Isoforms Self-Assemble and Co-Assemble with Equal Preference
    to Form Functional Pacemaker Channels.” <i>Journal of Biological Chemistry</i>.
    American Society for Biochemistry and Molecular Biology, 2007. <a href="https://doi.org/10.1074/jbc.M610978200">https://doi.org/10.1074/jbc.M610978200</a>.
  ieee: G. Whitaker, D. Angoli, H. Nazzari, R. Shigemoto, and E. Accili, “HCN2 and
    HCN4 isoforms self-assemble and co-assemble with equal preference to form functional
    pacemaker channels,” <i>Journal of Biological Chemistry</i>, vol. 282, no. 31.
    American Society for Biochemistry and Molecular Biology, pp. 22900–22909, 2007.
  ista: Whitaker G, Angoli D, Nazzari H, Shigemoto R, Accili E. 2007. HCN2 and HCN4
    isoforms self-assemble and co-assemble with equal preference to form functional
    pacemaker channels. Journal of Biological Chemistry. 282(31), 22900–22909.
  mla: Whitaker, Gina, et al. “HCN2 and HCN4 Isoforms Self-Assemble and Co-Assemble
    with Equal Preference to Form Functional Pacemaker Channels.” <i>Journal of Biological
    Chemistry</i>, vol. 282, no. 31, American Society for Biochemistry and Molecular
    Biology, 2007, pp. 22900–09, doi:<a href="https://doi.org/10.1074/jbc.M610978200">10.1074/jbc.M610978200</a>.
  short: G. Whitaker, D. Angoli, H. Nazzari, R. Shigemoto, E. Accili, Journal of Biological
    Chemistry 282 (2007) 22900–22909.
date_created: 2018-12-11T11:58:59Z
date_published: 2007-08-03T00:00:00Z
date_updated: 2021-01-12T06:58:58Z
day: '03'
doi: 10.1074/jbc.M610978200
extern: 1
intvolume: '       282'
issue: '31'
month: '08'
page: 22900 - 22909
publication: Journal of Biological Chemistry
publication_status: published
publisher: American Society for Biochemistry and Molecular Biology
publist_id: '4225'
quality_controlled: 0
status: public
title: HCN2 and HCN4 isoforms self-assemble and co-assemble with equal preference
  to form functional pacemaker channels
type: journal_article
volume: 282
year: '2007'
...
---
_id: '2673'
abstract:
- lang: eng
  text: Excitatory synaptic transmission is inhibited by G protein coupled receptors,
    including the adenosine A1, GABAB, and metabotropic glutamate receptor 7. These
    receptors are present in nerve terminals where they reduce the release of glutamate
    through activating signaling pathways negatively coupled to Ca2+ channels and
    adenylyl cyclase. However, it is not clear whether these receptors operate in
    distinct subpopulations of nerve terminals or if they are co-expressed in the
    same nerve terminals, despite the functional consequences that such distributions
    may have on synaptic transmission. Applying Ca2+ imaging and immunocytochemistry,
    we show that these three G protein coupled receptors coexist in a subpopulation
    of cerebrocortical nerve terminals. The three receptors share an intracellular
    signaling pathway through which their inhibitory responses are integrated and
    coactivation of these receptors produced an integrated response. Indeed, this
    response was highly variable, from a synergistic response at subthreshold agonist
    concentrations to an occluded response at high agonist concentrations. The presence
    of multiple receptors in a nerve terminal could be responsible for the physiological
    effects of neurotransmitter spillover from neighboring synapses or alternatively,
    the co-release of transmitters by the same nerve terminal.
author:
- first_name: Carolina
  full_name: Ladera, Carolina
  last_name: Ladera
- first_name: María
  full_name: Godino, María D
  last_name: Godino
- first_name: Ricardo
  full_name: Martín, Ricardo J
  last_name: Martín
- first_name: Rafael
  full_name: Luján, Rafael
  last_name: Luján
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Francisco
  full_name: Ciruela, Francisco
  last_name: Ciruela
- first_name: Magdalena
  full_name: Torres, Magdalena
  last_name: Torres
- first_name: José
  full_name: Sánchez-Prieto, José
  last_name: Sánchez Prieto
citation:
  ama: Ladera C, Godino M, Martín R, et al.  The coexistence of multiple receptors
    in a single nerve terminal provides evidence for pre-synaptic integration. <i>Journal
    of Neurochemistry</i>. 2007;103(6):2314-2326. doi:<a href="https://doi.org/10.1111/j.1471-4159.2007.04964.x">10.1111/j.1471-4159.2007.04964.x</a>
  apa: Ladera, C., Godino, M., Martín, R., Luján, R., Shigemoto, R., Ciruela, F.,
    … Sánchez Prieto, J. (2007).  The coexistence of multiple receptors in a single
    nerve terminal provides evidence for pre-synaptic integration. <i>Journal of Neurochemistry</i>.
    Wiley-Blackwell. <a href="https://doi.org/10.1111/j.1471-4159.2007.04964.x">https://doi.org/10.1111/j.1471-4159.2007.04964.x</a>
  chicago: Ladera, Carolina, María Godino, Ricardo Martín, Rafael Luján, Ryuichi Shigemoto,
    Francisco Ciruela, Magdalena Torres, and José Sánchez Prieto. “ The Coexistence
    of Multiple Receptors in a Single Nerve Terminal Provides Evidence for Pre-Synaptic
    Integration.” <i>Journal of Neurochemistry</i>. Wiley-Blackwell, 2007. <a href="https://doi.org/10.1111/j.1471-4159.2007.04964.x">https://doi.org/10.1111/j.1471-4159.2007.04964.x</a>.
  ieee: C. Ladera <i>et al.</i>, “ The coexistence of multiple receptors in a single
    nerve terminal provides evidence for pre-synaptic integration,” <i>Journal of
    Neurochemistry</i>, vol. 103, no. 6. Wiley-Blackwell, pp. 2314–2326, 2007.
  ista: Ladera C, Godino M, Martín R, Luján R, Shigemoto R, Ciruela F, Torres M, Sánchez
    Prieto J. 2007.  The coexistence of multiple receptors in a single nerve terminal
    provides evidence for pre-synaptic integration. Journal of Neurochemistry. 103(6),
    2314–2326.
  mla: Ladera, Carolina, et al. “ The Coexistence of Multiple Receptors in a Single
    Nerve Terminal Provides Evidence for Pre-Synaptic Integration.” <i>Journal of
    Neurochemistry</i>, vol. 103, no. 6, Wiley-Blackwell, 2007, pp. 2314–26, doi:<a
    href="https://doi.org/10.1111/j.1471-4159.2007.04964.x">10.1111/j.1471-4159.2007.04964.x</a>.
  short: C. Ladera, M. Godino, R. Martín, R. Luján, R. Shigemoto, F. Ciruela, M. Torres,
    J. Sánchez Prieto, Journal of Neurochemistry 103 (2007) 2314–2326.
date_created: 2018-12-11T11:58:59Z
date_published: 2007-12-01T00:00:00Z
date_updated: 2021-01-12T06:58:58Z
day: '01'
doi: 10.1111/j.1471-4159.2007.04964.x
extern: 1
intvolume: '       103'
issue: '6'
month: '12'
page: 2314 - 2326
publication: Journal of Neurochemistry
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4224'
quality_controlled: 0
status: public
title: ' The coexistence of multiple receptors in a single nerve terminal provides
  evidence for pre-synaptic integration'
type: journal_article
volume: 103
year: '2007'
...
---
_id: '2705'
alternative_title:
- Proceedings of Symposia in Pure Mathematics
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
citation:
  ama: 'Erdös L. Recent developments in quantum mechanics with magnetic fields. In:
    Gesztesy F, Deift P, Galvez P, Perry P, Schlag W, eds. <i>Spectral Theory and
    Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday </i>.
    Vol 76. American Mathematical Society; 2007:401-428.'
  apa: 'Erdös, L. (2007). Recent developments in quantum mechanics with magnetic fields.
    In F. Gesztesy, P. Deift, P. Galvez, P. Perry, &#38; W. Schlag (Eds.), <i>Spectral
    Theory and Mathematical Physics: a Festschrift in Honor of Barry Simon’s 60th
    Birthday </i> (Vol. 76, pp. 401–428). American Mathematical Society.'
  chicago: 'Erdös, László. “Recent Developments in Quantum Mechanics with Magnetic
    Fields.” In <i>Spectral Theory and Mathematical Physics: A Festschrift in Honor
    of Barry Simon’s 60th Birthday </i>, edited by Fritz Gesztesy, Percy Deift, Percy
    Galvez, Peter Perry, and Wilhelm Schlag, 76:401–28. American Mathematical Society,
    2007.'
  ieee: 'L. Erdös, “Recent developments in quantum mechanics with magnetic fields,”
    in <i>Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry
    Simon’s 60th Birthday </i>, vol. 76, F. Gesztesy, P. Deift, P. Galvez, P. Perry,
    and W. Schlag, Eds. American Mathematical Society, 2007, pp. 401–428.'
  ista: 'Erdös L. 2007.Recent developments in quantum mechanics with magnetic fields.
    In: Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry
    Simon’s 60th Birthday . Proceedings of Symposia in Pure Mathematics, vol. 76,
    401–428.'
  mla: 'Erdös, László. “Recent Developments in Quantum Mechanics with Magnetic Fields.”
    <i>Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s
    60th Birthday </i>, edited by Fritz Gesztesy et al., vol. 76, American Mathematical
    Society, 2007, pp. 401–28.'
  short: 'L. Erdös, in:, F. Gesztesy, P. Deift, P. Galvez, P. Perry, W. Schlag (Eds.),
    Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s
    60th Birthday , American Mathematical Society, 2007, pp. 401–428.'
date_created: 2018-12-11T11:59:10Z
date_published: 2007-03-30T00:00:00Z
date_updated: 2021-01-12T06:59:10Z
day: '30'
editor:
- first_name: Fritz
  full_name: Gesztesy, Fritz
  last_name: Gesztesy
- first_name: Percy
  full_name: Deift, Percy
  last_name: Deift
- first_name: Percy
  full_name: Galvez, Percy
  last_name: Galvez
- first_name: Peter
  full_name: Perry, Peter
  last_name: Perry
- first_name: Wilhelm
  full_name: Schlag, Wilhelm
  last_name: Schlag
extern: 1
intvolume: '        76'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0510055v2
month: '03'
oa: 1
page: 401 - 428
publication: 'Spectral Theory and Mathematical Physics: a Festschrift in Honor of
  Barry Simon''s 60th Birthday '
publication_status: published
publisher: American Mathematical Society
publist_id: '4191'
quality_controlled: 0
status: public
title: Recent developments in quantum mechanics with magnetic fields
type: book_chapter
volume: 76
year: '2007'
...
---
_id: '2748'
abstract:
- lang: eng
  text: The time-dependent Gross-Pitaevskii equation describes the dynamics of initially
    trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting
    from a many-body bosonic Schrödinger equation with a short-scale repulsive interaction
    in the dilute limit. Our proof shows the persistence of an explicit short-scale
    correlation structure in the condensate.
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
- first_name: Horng
  full_name: Yau, Horng-Tzer
  last_name: Yau
citation:
  ama: Erdös L, Schlein B, Yau H. Rigorous derivation of the Gross-Pitaevskii equation.
    <i>Physical Review Letters</i>. 2007;98(4). doi:<a href="https://doi.org/10.1103/PhysRevLett.98.040404">10.1103/PhysRevLett.98.040404</a>
  apa: Erdös, L., Schlein, B., &#38; Yau, H. (2007). Rigorous derivation of the Gross-Pitaevskii
    equation. <i>Physical Review Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.98.040404">https://doi.org/10.1103/PhysRevLett.98.040404</a>
  chicago: Erdös, László, Benjamin Schlein, and Horng Yau. “Rigorous Derivation of
    the Gross-Pitaevskii Equation.” <i>Physical Review Letters</i>. American Physical
    Society, 2007. <a href="https://doi.org/10.1103/PhysRevLett.98.040404">https://doi.org/10.1103/PhysRevLett.98.040404</a>.
  ieee: L. Erdös, B. Schlein, and H. Yau, “Rigorous derivation of the Gross-Pitaevskii
    equation,” <i>Physical Review Letters</i>, vol. 98, no. 4. American Physical Society,
    2007.
  ista: Erdös L, Schlein B, Yau H. 2007. Rigorous derivation of the Gross-Pitaevskii
    equation. Physical Review Letters. 98(4).
  mla: Erdös, László, et al. “Rigorous Derivation of the Gross-Pitaevskii Equation.”
    <i>Physical Review Letters</i>, vol. 98, no. 4, American Physical Society, 2007,
    doi:<a href="https://doi.org/10.1103/PhysRevLett.98.040404">10.1103/PhysRevLett.98.040404</a>.
  short: L. Erdös, B. Schlein, H. Yau, Physical Review Letters 98 (2007).
date_created: 2018-12-11T11:59:23Z
date_published: 2007-01-26T00:00:00Z
date_updated: 2021-01-12T06:59:26Z
day: '26'
doi: 10.1103/PhysRevLett.98.040404
extern: 1
intvolume: '        98'
issue: '4'
month: '01'
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '4144'
quality_controlled: 0
status: public
title: Rigorous derivation of the Gross-Pitaevskii equation
type: journal_article
volume: 98
year: '2007'
...
---
_id: '2749'
abstract:
- lang: eng
  text: 'We prove rigorously that the one-particle density matrix of three dimensional
    interacting Bose systems with a short-scale repulsive pair interaction converges
    to the solution of the cubic non-linear Schrödinger equation in a suitable scaling
    limit. The result is extended to k-particle density matrices for all positive
    integer k. '
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
- first_name: Horng
  full_name: Yau, Horng-Tzer
  last_name: Yau
citation:
  ama: Erdös L, Schlein B, Yau H. Derivation of the cubic non linear Schrödinger equation
    from quantum dynamics of many body systems. <i>Inventiones Mathematicae</i>. 2007;167(3):515-614.
    doi:<a href="https://doi.org/10.1007/s00222-006-0022-1">10.1007/s00222-006-0022-1</a>
  apa: Erdös, L., Schlein, B., &#38; Yau, H. (2007). Derivation of the cubic non linear
    Schrödinger equation from quantum dynamics of many body systems. <i>Inventiones
    Mathematicae</i>. Springer. <a href="https://doi.org/10.1007/s00222-006-0022-1">https://doi.org/10.1007/s00222-006-0022-1</a>
  chicago: Erdös, László, Benjamin Schlein, and Horng Yau. “Derivation of the Cubic
    Non Linear Schrödinger Equation from Quantum Dynamics of Many Body Systems.” <i>Inventiones
    Mathematicae</i>. Springer, 2007. <a href="https://doi.org/10.1007/s00222-006-0022-1">https://doi.org/10.1007/s00222-006-0022-1</a>.
  ieee: L. Erdös, B. Schlein, and H. Yau, “Derivation of the cubic non linear Schrödinger
    equation from quantum dynamics of many body systems,” <i>Inventiones Mathematicae</i>,
    vol. 167, no. 3. Springer, pp. 515–614, 2007.
  ista: Erdös L, Schlein B, Yau H. 2007. Derivation of the cubic non linear Schrödinger
    equation from quantum dynamics of many body systems. Inventiones Mathematicae.
    167(3), 515–614.
  mla: Erdös, László, et al. “Derivation of the Cubic Non Linear Schrödinger Equation
    from Quantum Dynamics of Many Body Systems.” <i>Inventiones Mathematicae</i>,
    vol. 167, no. 3, Springer, 2007, pp. 515–614, doi:<a href="https://doi.org/10.1007/s00222-006-0022-1">10.1007/s00222-006-0022-1</a>.
  short: L. Erdös, B. Schlein, H. Yau, Inventiones Mathematicae 167 (2007) 515–614.
date_created: 2018-12-11T11:59:24Z
date_published: 2007-03-01T00:00:00Z
date_updated: 2019-04-26T07:22:19Z
day: '01'
doi: 10.1007/s00222-006-0022-1
extern: 1
intvolume: '       167'
issue: '3'
month: '03'
page: 515 - 614
publication: Inventiones Mathematicae
publication_status: published
publisher: Springer
publist_id: '4143'
quality_controlled: 0
status: public
title: Derivation of the cubic non linear Schrödinger equation from quantum dynamics
  of many body systems
type: review
volume: 167
year: '2007'
...
---
_id: '2750'
abstract:
- lang: eng
  text: We consider random Schrödinger equations on ℝd for d ≥ 3 with a homogeneous
    Anderson-Poisson type random potential. Denote by λ the coupling constant and
    ψt the solution with initial data ψ0. The space and time variables scale as χ
    ≃λ-2-κ/2, t ≃λ-2-κ with 0 &lt; kappa; &lt; kappa;0(d). We prove that, in the limit
    λ → 0, the expectation of the Wigner distribution of ψt converges weakly to the
    solution of a heat equation in the space variable x for arbitrary L2 initial data.
    The proof is based on a rigorous analysis of Feynman diagrams. In the companion
    paper [10] the analysis of the non-repetition diagrams was presented. In this
    paper we complete the proof by estimating the recollision diagrams and showing
    that the main terms, i.e. the ladder diagrams with renormalized propagator, converge
    to the heat equation.
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Manfred
  full_name: Salmhofer, Manfred
  last_name: Salmhofer
- first_name: Horng
  full_name: Yau, Horng-Tzer
  last_name: Yau
citation:
  ama: Erdös L, Salmhofer M, Yau H. Quantum diffusion of the random Schrödinger evolution
    in the scaling limit II. The recollision diagrams. <i>Communications in Mathematical
    Physics</i>. 2007;271(1):1-53. doi:<a href="https://doi.org/10.1007/s00220-006-0158-2">10.1007/s00220-006-0158-2</a>
  apa: Erdös, L., Salmhofer, M., &#38; Yau, H. (2007). Quantum diffusion of the random
    Schrödinger evolution in the scaling limit II. The recollision diagrams. <i>Communications
    in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s00220-006-0158-2">https://doi.org/10.1007/s00220-006-0158-2</a>
  chicago: Erdös, László, Manfred Salmhofer, and Horng Yau. “Quantum Diffusion of
    the Random Schrödinger Evolution in the Scaling Limit II. The Recollision Diagrams.”
    <i>Communications in Mathematical Physics</i>. Springer, 2007. <a href="https://doi.org/10.1007/s00220-006-0158-2">https://doi.org/10.1007/s00220-006-0158-2</a>.
  ieee: L. Erdös, M. Salmhofer, and H. Yau, “Quantum diffusion of the random Schrödinger
    evolution in the scaling limit II. The recollision diagrams,” <i>Communications
    in Mathematical Physics</i>, vol. 271, no. 1. Springer, pp. 1–53, 2007.
  ista: Erdös L, Salmhofer M, Yau H. 2007. Quantum diffusion of the random Schrödinger
    evolution in the scaling limit II. The recollision diagrams. Communications in
    Mathematical Physics. 271(1), 1–53.
  mla: Erdös, László, et al. “Quantum Diffusion of the Random Schrödinger Evolution
    in the Scaling Limit II. The Recollision Diagrams.” <i>Communications in Mathematical
    Physics</i>, vol. 271, no. 1, Springer, 2007, pp. 1–53, doi:<a href="https://doi.org/10.1007/s00220-006-0158-2">10.1007/s00220-006-0158-2</a>.
  short: L. Erdös, M. Salmhofer, H. Yau, Communications in Mathematical Physics 271
    (2007) 1–53.
date_created: 2018-12-11T11:59:24Z
date_published: 2007-04-01T00:00:00Z
date_updated: 2021-01-12T06:59:27Z
day: '01'
doi: 10.1007/s00220-006-0158-2
extern: 1
intvolume: '       271'
issue: '1'
month: '04'
page: 1 - 53
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4142'
quality_controlled: 0
status: public
title: Quantum diffusion of the random Schrödinger evolution in the scaling limit
  II. The recollision diagrams
type: journal_article
volume: 271
year: '2007'
...
---
_id: '2751'
abstract:
- lang: eng
  text: We consider random Schrödinger equations on ℤd for d ≥ 3 with identically
    distributed random potential. Denote by λ the coupling constant and ψ t the solution
    with initial data ψ 0. The space and time variables scale as x ∼ λ -2-κ/2,t ∼
    λ-2-κ with 0 &lt; κ &lt; κ0(d). We prove that, in the limit λ → 0, the expectation
    of the Wigner distribution of ψ t converges weakly to a solution of a heat equation
    in the space variable x for arbitrary L 2 initial data. The diffusion coefficient
    is uniquely determined by the kinetic energy associated to the momentum υ. This
    work is an extension to the lattice case of our previous result in the continuum
    [8,9]. Due to the non-convexity of the level surfaces of the dispersion relation,
    the estimates of several Feynman graphs are more involved.
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Manfred
  full_name: Salmhofer, Manfred
  last_name: Salmhofer
- first_name: Horng
  full_name: Yau, Horng-Tzer
  last_name: Yau
citation:
  ama: Erdös L, Salmhofer M, Yau H. Quantum diffusion for the Anderson model in the
    scaling limit. <i>Annales Henri Poincare</i>. 2007;8(4):621-685. doi:<a href="https://doi.org/10.1007/s00023-006-0318-0">10.1007/s00023-006-0318-0</a>
  apa: Erdös, L., Salmhofer, M., &#38; Yau, H. (2007). Quantum diffusion for the Anderson
    model in the scaling limit. <i>Annales Henri Poincare</i>. Birkhäuser. <a href="https://doi.org/10.1007/s00023-006-0318-0">https://doi.org/10.1007/s00023-006-0318-0</a>
  chicago: Erdös, László, Manfred Salmhofer, and Horng Yau. “Quantum Diffusion for
    the Anderson Model in the Scaling Limit.” <i>Annales Henri Poincare</i>. Birkhäuser,
    2007. <a href="https://doi.org/10.1007/s00023-006-0318-0">https://doi.org/10.1007/s00023-006-0318-0</a>.
  ieee: L. Erdös, M. Salmhofer, and H. Yau, “Quantum diffusion for the Anderson model
    in the scaling limit,” <i>Annales Henri Poincare</i>, vol. 8, no. 4. Birkhäuser,
    pp. 621–685, 2007.
  ista: Erdös L, Salmhofer M, Yau H. 2007. Quantum diffusion for the Anderson model
    in the scaling limit. Annales Henri Poincare. 8(4), 621–685.
  mla: Erdös, László, et al. “Quantum Diffusion for the Anderson Model in the Scaling
    Limit.” <i>Annales Henri Poincare</i>, vol. 8, no. 4, Birkhäuser, 2007, pp. 621–85,
    doi:<a href="https://doi.org/10.1007/s00023-006-0318-0">10.1007/s00023-006-0318-0</a>.
  short: L. Erdös, M. Salmhofer, H. Yau, Annales Henri Poincare 8 (2007) 621–685.
date_created: 2018-12-11T11:59:24Z
date_published: 2007-07-01T00:00:00Z
date_updated: 2021-01-12T06:59:27Z
day: '01'
doi: 10.1007/s00023-006-0318-0
extern: 1
intvolume: '         8'
issue: '4'
month: '07'
page: 621 - 685
publication: Annales Henri Poincare
publication_status: published
publisher: Birkhäuser
publist_id: '4141'
quality_controlled: 0
status: public
title: Quantum diffusion for the Anderson model in the scaling limit
type: journal_article
volume: 8
year: '2007'
...
---
_id: '2752'
abstract:
- lang: eng
  text: We prove L p -bounds on the Fourier transform of measures μ supported on two
    dimensional surfaces. Our method allows to consider surfaces whose Gauss curvature
    vanishes on a one-dimensional submanifold. Under a certain non-degeneracy condition,
    we prove that μ ∧ ε L 4+β, β &gt; 0, and we give a logarithmically divergent bound
    on the L 4-norm. We use this latter bound to estimate almost singular integrals
    involving the dispersion relation, e(p)= ∑13 [1-\cos p_j]} , of the discrete Laplace
    operator on the cubic lattice. We briefly explain our motivation for this bound
    originating in the theory of random Schrödinger operators.
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Manfred
  full_name: Salmhofer, Manfred
  last_name: Salmhofer
citation:
  ama: Erdös L, Salmhofer M. Decay of the Fourier transform of surfaces with vanishing
    curvature. <i>Mathematische Zeitschrift</i>. 2007;257(2):261-294. doi:<a href="https://doi.org/10.1007/s00209-007-0125-4">10.1007/s00209-007-0125-4</a>
  apa: Erdös, L., &#38; Salmhofer, M. (2007). Decay of the Fourier transform of surfaces
    with vanishing curvature. <i>Mathematische Zeitschrift</i>. Springer. <a href="https://doi.org/10.1007/s00209-007-0125-4">https://doi.org/10.1007/s00209-007-0125-4</a>
  chicago: Erdös, László, and Manfred Salmhofer. “Decay of the Fourier Transform of
    Surfaces with Vanishing Curvature.” <i>Mathematische Zeitschrift</i>. Springer,
    2007. <a href="https://doi.org/10.1007/s00209-007-0125-4">https://doi.org/10.1007/s00209-007-0125-4</a>.
  ieee: L. Erdös and M. Salmhofer, “Decay of the Fourier transform of surfaces with
    vanishing curvature,” <i>Mathematische Zeitschrift</i>, vol. 257, no. 2. Springer,
    pp. 261–294, 2007.
  ista: Erdös L, Salmhofer M. 2007. Decay of the Fourier transform of surfaces with
    vanishing curvature. Mathematische Zeitschrift. 257(2), 261–294.
  mla: Erdös, László, and Manfred Salmhofer. “Decay of the Fourier Transform of Surfaces
    with Vanishing Curvature.” <i>Mathematische Zeitschrift</i>, vol. 257, no. 2,
    Springer, 2007, pp. 261–94, doi:<a href="https://doi.org/10.1007/s00209-007-0125-4">10.1007/s00209-007-0125-4</a>.
  short: L. Erdös, M. Salmhofer, Mathematische Zeitschrift 257 (2007) 261–294.
date_created: 2018-12-11T11:59:25Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T06:59:28Z
day: '01'
doi: 10.1007/s00209-007-0125-4
extern: 1
intvolume: '       257'
issue: '2'
month: '01'
page: 261 - 294
publication: Mathematische Zeitschrift
publication_status: published
publisher: Springer
publist_id: '4140'
quality_controlled: 0
status: public
title: Decay of the Fourier transform of surfaces with vanishing curvature
type: journal_article
volume: 257
year: '2007'
...
---
_id: '2793'
abstract:
- lang: eng
  text: Pipe flow is a prominent example among the shear flows that undergo transition
    to turbulence without mediation by a linear instability of the laminar profile.
    Experiments on pipe flow, as well as plane Couette and plane Poiseuille flow,
    show that triggering turbulence depends sensitively on initial conditions, that
    between the laminar and the turbulent states there exists no intermediate state
    with simple spatial or temporal characteristics, and that turbulence is not persistent,
    i.e., it can decay again, if the observation time is long enough. All these features
    can consistently be explained on the assumption that the turbulent state corresponds
    to a chaotic saddle in state space. The goal of this review is to explain this
    concept, summarize the numerical and experimental evidence for pipe flow, and
    outline the consequences for related flows.
author:
- first_name: Bruno
  full_name: Eckhardt, Bruno
  last_name: Eckhardt
- first_name: Tobias
  full_name: Schneider, Tobias M
  last_name: Schneider
- first_name: Björn
  full_name: Björn Hof
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
- first_name: Jerry
  full_name: Westerweel, Jerry
  last_name: Westerweel
citation:
  ama: Eckhardt B, Schneider T, Hof B, Westerweel J. Turbulence transition in pipe
    flow. <i>Annual Review of Fluid Mechanics</i>. 2007;39:447-468. doi:<a href="https://doi.org/10.1146/annurev.fluid.39.050905.110308">10.1146/annurev.fluid.39.050905.110308</a>
  apa: Eckhardt, B., Schneider, T., Hof, B., &#38; Westerweel, J. (2007). Turbulence
    transition in pipe flow. <i>Annual Review of Fluid Mechanics</i>. Annual Reviews.
    <a href="https://doi.org/10.1146/annurev.fluid.39.050905.110308">https://doi.org/10.1146/annurev.fluid.39.050905.110308</a>
  chicago: Eckhardt, Bruno, Tobias Schneider, Björn Hof, and Jerry Westerweel. “Turbulence
    Transition in Pipe Flow.” <i>Annual Review of Fluid Mechanics</i>. Annual Reviews,
    2007. <a href="https://doi.org/10.1146/annurev.fluid.39.050905.110308">https://doi.org/10.1146/annurev.fluid.39.050905.110308</a>.
  ieee: B. Eckhardt, T. Schneider, B. Hof, and J. Westerweel, “Turbulence transition
    in pipe flow,” <i>Annual Review of Fluid Mechanics</i>, vol. 39. Annual Reviews,
    pp. 447–468, 2007.
  ista: Eckhardt B, Schneider T, Hof B, Westerweel J. 2007. Turbulence transition
    in pipe flow. Annual Review of Fluid Mechanics. 39, 447–468.
  mla: Eckhardt, Bruno, et al. “Turbulence Transition in Pipe Flow.” <i>Annual Review
    of Fluid Mechanics</i>, vol. 39, Annual Reviews, 2007, pp. 447–68, doi:<a href="https://doi.org/10.1146/annurev.fluid.39.050905.110308">10.1146/annurev.fluid.39.050905.110308</a>.
  short: B. Eckhardt, T. Schneider, B. Hof, J. Westerweel, Annual Review of Fluid
    Mechanics 39 (2007) 447–468.
date_created: 2018-12-11T11:59:38Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2019-04-26T07:22:20Z
day: '01'
doi: 10.1146/annurev.fluid.39.050905.110308
extern: 1
intvolume: '        39'
month: '01'
page: 447 - 468
publication: Annual Review of Fluid Mechanics
publication_status: published
publisher: Annual Reviews
publist_id: '4096'
quality_controlled: 0
status: public
title: Turbulence transition in pipe flow
type: review
volume: 39
year: '2007'
...
