---
_id: '4061'
abstract:
- lang: eng
  text: We present an algorithm to compute a Euclidean minimum spanning tree of a
    given set S of N points in Ed in time O(Fd (N,N) logd N), where Fd (n,m) is the
    time required to compute a bichromatic closest pair among n red and m green points
    in Ed . If Fd (N,N)=Ω(N1+ε), for some fixed e{open}&gt;0, then the running time
    improves to O(Fd (N,N)). Furthermore, we describe a randomized algorithm to compute
    a bichromatic closest pair in expected time O((nm log n log m)2/3+m log2 n+n log2
    m) in E3, which yields an O(N4/3 log4/3 N) expected time, algorithm for computing
    a Euclidean minimum spanning tree of N points in E3. In d≥4 dimensions we obtain
    expected time O((nm)1-1/([d/2]+1)+ε+m log n+n log m) for the bichromatic closest
    pair problem and O(N2-2/([d/2]+1)ε) for the Euclidean minimum spanning tree problem,
    for any positive e{open}.
acknowledgement: The first, second, and fourth authors acknowledge support from the
  Center for Discrete Mathematics and Theoretical Computer Science (DIMACS), a National
  Science Foundation Science and Technology Center under NSF Grant STC 88-09648. The
  second author's work was supported by the National Science Foundation under Grant
  CCR-8714565. The third author's work was supported by the Deutsche Forschungsgemeinschaft
  under Grant A1 253/1-3, Schwerpunktprogramm "Datenstrukturen und effiziente Algorithmen."
  The last two authors' work was also partially supported by the ESPRIT II Basic Research
  Action of the EC under Contract No. 3075 (project ALCOM).
article_processing_charge: No
article_type: original
author:
- first_name: Pankaj
  full_name: Agarwal, Pankaj
  last_name: Agarwal
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Otfried
  full_name: Schwarzkopf, Otfried
  last_name: Schwarzkopf
- first_name: Emo
  full_name: Welzl, Emo
  last_name: Welzl
citation:
  ama: Agarwal P, Edelsbrunner H, Schwarzkopf O, Welzl E. Euclidean minimum spanning
    trees and bichromatic closest pairs. <i>Discrete &#38; Computational Geometry</i>.
    1991;6(1):407-422. doi:<a href="https://doi.org/10.1007/BF02574698">10.1007/BF02574698</a>
  apa: Agarwal, P., Edelsbrunner, H., Schwarzkopf, O., &#38; Welzl, E. (1991). Euclidean
    minimum spanning trees and bichromatic closest pairs. <i>Discrete &#38; Computational
    Geometry</i>. Springer. <a href="https://doi.org/10.1007/BF02574698">https://doi.org/10.1007/BF02574698</a>
  chicago: Agarwal, Pankaj, Herbert Edelsbrunner, Otfried Schwarzkopf, and Emo Welzl.
    “Euclidean Minimum Spanning Trees and Bichromatic Closest Pairs.” <i>Discrete
    &#38; Computational Geometry</i>. Springer, 1991. <a href="https://doi.org/10.1007/BF02574698">https://doi.org/10.1007/BF02574698</a>.
  ieee: P. Agarwal, H. Edelsbrunner, O. Schwarzkopf, and E. Welzl, “Euclidean minimum
    spanning trees and bichromatic closest pairs,” <i>Discrete &#38; Computational
    Geometry</i>, vol. 6, no. 1. Springer, pp. 407–422, 1991.
  ista: Agarwal P, Edelsbrunner H, Schwarzkopf O, Welzl E. 1991. Euclidean minimum
    spanning trees and bichromatic closest pairs. Discrete &#38; Computational Geometry.
    6(1), 407–422.
  mla: Agarwal, Pankaj, et al. “Euclidean Minimum Spanning Trees and Bichromatic Closest
    Pairs.” <i>Discrete &#38; Computational Geometry</i>, vol. 6, no. 1, Springer,
    1991, pp. 407–22, doi:<a href="https://doi.org/10.1007/BF02574698">10.1007/BF02574698</a>.
  short: P. Agarwal, H. Edelsbrunner, O. Schwarzkopf, E. Welzl, Discrete &#38; Computational
    Geometry 6 (1991) 407–422.
date_created: 2018-12-11T12:06:42Z
date_published: 1991-12-01T00:00:00Z
date_updated: 2022-02-24T15:06:41Z
day: '01'
doi: 10.1007/BF02574698
extern: '1'
intvolume: '         6'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://link.springer.com/article/10.1007/BF02574698
month: '12'
oa: 1
oa_version: Published Version
page: 407 - 422
publication: Discrete & Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer
publist_id: '2062'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Euclidean minimum spanning trees and bichromatic closest pairs
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 6
year: '1991'
...
---
_id: '4062'
abstract:
- lang: eng
  text: We prove that for any set S of n points in the plane and n3-α triangles spanned
    by the points in S there exists a point (not necessarily in S) contained in at
    least n3-3α/(c log5 n) of the triangles. This implies that any set of n points
    in three-dimensional space defines at most {Mathematical expression} halving planes.
acknowledgement: "Work on this paper by Boris Aronov and Rephael Wenger has been supported
  by DIMACS under NSF Grant STC-88-09648. Work on this paper by Bernard Chazelle has
  been supported by NSF Grant CCR-87-00917. Work by Herbert Edelsbrunner has been
  supported by NSF Grant CCR-87-14565. Micha Sharir has been supported by ONR Grant
  N00014-87-K-0129, by NSF Grant CCR-89-01484, and by grants from the U.S.-Israeli
  Binational Science Foundation, the Israeli National Council for Research and Development,
  and the Fund for Basic Research administered by the Israeli\r\nAcademy of Sciences"
article_processing_charge: No
article_type: original
author:
- first_name: Boris
  full_name: Aronov, Boris
  last_name: Aronov
- first_name: Bernard
  full_name: Chazelle, Bernard
  last_name: Chazelle
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Leonidas
  full_name: Guibas, Leonidas
  last_name: Guibas
- first_name: Micha
  full_name: Sharir, Micha
  last_name: Sharir
- first_name: Rephael
  full_name: Wenger, Rephael
  last_name: Wenger
citation:
  ama: Aronov B, Chazelle B, Edelsbrunner H, Guibas L, Sharir M, Wenger R. Points
    and triangles in the plane and halving planes in space. <i>Discrete &#38; Computational
    Geometry</i>. 1991;6(1):435-442. doi:<a href="https://doi.org/10.1007/BF02574700">10.1007/BF02574700</a>
  apa: Aronov, B., Chazelle, B., Edelsbrunner, H., Guibas, L., Sharir, M., &#38; Wenger,
    R. (1991). Points and triangles in the plane and halving planes in space. <i>Discrete
    &#38; Computational Geometry</i>. Springer. <a href="https://doi.org/10.1007/BF02574700">https://doi.org/10.1007/BF02574700</a>
  chicago: Aronov, Boris, Bernard Chazelle, Herbert Edelsbrunner, Leonidas Guibas,
    Micha Sharir, and Rephael Wenger. “Points and Triangles in the Plane and Halving
    Planes in Space.” <i>Discrete &#38; Computational Geometry</i>. Springer, 1991.
    <a href="https://doi.org/10.1007/BF02574700">https://doi.org/10.1007/BF02574700</a>.
  ieee: B. Aronov, B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, and R. Wenger,
    “Points and triangles in the plane and halving planes in space,” <i>Discrete &#38;
    Computational Geometry</i>, vol. 6, no. 1. Springer, pp. 435–442, 1991.
  ista: Aronov B, Chazelle B, Edelsbrunner H, Guibas L, Sharir M, Wenger R. 1991.
    Points and triangles in the plane and halving planes in space. Discrete &#38;
    Computational Geometry. 6(1), 435–442.
  mla: Aronov, Boris, et al. “Points and Triangles in the Plane and Halving Planes
    in Space.” <i>Discrete &#38; Computational Geometry</i>, vol. 6, no. 1, Springer,
    1991, pp. 435–42, doi:<a href="https://doi.org/10.1007/BF02574700">10.1007/BF02574700</a>.
  short: B. Aronov, B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, R. Wenger,
    Discrete &#38; Computational Geometry 6 (1991) 435–442.
date_created: 2018-12-11T12:06:43Z
date_published: 1991-12-01T00:00:00Z
date_updated: 2022-02-24T15:39:25Z
day: '01'
doi: 10.1007/BF02574700
extern: '1'
intvolume: '         6'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://link.springer.com/article/10.1007/BF02574700
month: '12'
oa: 1
oa_version: Published Version
page: 435 - 442
publication: Discrete & Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer
publist_id: '2063'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Points and triangles in the plane and halving planes in space
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 6
year: '1991'
...
---
_id: '4508'
abstract:
- lang: eng
  text: 'We extend the specification language of temporal logic, the corresponding
    verification framework, and the underlying computational model to deal with real-time
    properties of concurrent and reactive systems. A global, discrete, and asynchronous
    clock is incorporated into the model by defining the abstract notion of a real-time
    transition system as a conservative extension of traditional transition systems:
    qualitative fairness requirements are replaced (and superseded) by quantitative
    lower-bound and upperbound real-time requirements for transitions. We show how
    to model real-time systems that communicate either through shared variables or
    by message passing, and how to represent the important real-time constructs of
    priorities (interrupts), scheduling, and timeouts in this framework. Two styles
    for the specification of real-time properties are presented. The first style uses
    bounded versions of the temporal operators; the real-time requirements expressed
    in this style are classified ...'
acknowledgement: 'This research was supported in part by an IBM graduate fellowship,
  by the National Science Foundation grants CCR-89-11512 and CC R-89-13641, by the
  Defense Advanced Re-search Projects Agency under contract NOO03%84C-0211, by the
  United States Air Force Office of Scientific Research un-der contract AFOSR-W-0057,
  and by the European Community ESPRIT Basic Research Action project 3096 (SPEC).
  We thank Rajeev Alur for many helpful discussions. '
article_processing_charge: No
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Zohar
  full_name: Manna, Zohar
  last_name: Manna
- first_name: Amir
  full_name: Pnueli, Amir
  last_name: Pnueli
citation:
  ama: 'Henzinger TA, Manna Z, Pnueli A. Temporal proof methodologies for real-time
    systems. In: <i>Proceedings of the 18th ACM SIGPLAN-SIGACT Symposium on Principles
    of Programming Languages</i>. ACM; 1991:353-366. doi:<a href="https://doi.org/10.1145/99583.99629">10.1145/99583.99629</a>'
  apa: 'Henzinger, T. A., Manna, Z., &#38; Pnueli, A. (1991). Temporal proof methodologies
    for real-time systems. In <i>Proceedings of the 18th ACM SIGPLAN-SIGACT symposium
    on Principles of programming languages</i> (pp. 353–366). Orlando, FL, United
    States of America: ACM. <a href="https://doi.org/10.1145/99583.99629">https://doi.org/10.1145/99583.99629</a>'
  chicago: Henzinger, Thomas A, Zohar Manna, and Amir Pnueli. “Temporal Proof Methodologies
    for Real-Time Systems.” In <i>Proceedings of the 18th ACM SIGPLAN-SIGACT Symposium
    on Principles of Programming Languages</i>, 353–66. ACM, 1991. <a href="https://doi.org/10.1145/99583.99629">https://doi.org/10.1145/99583.99629</a>.
  ieee: T. A. Henzinger, Z. Manna, and A. Pnueli, “Temporal proof methodologies for
    real-time systems,” in <i>Proceedings of the 18th ACM SIGPLAN-SIGACT symposium
    on Principles of programming languages</i>, Orlando, FL, United States of America,
    1991, pp. 353–366.
  ista: 'Henzinger TA, Manna Z, Pnueli A. 1991. Temporal proof methodologies for real-time
    systems. Proceedings of the 18th ACM SIGPLAN-SIGACT symposium on Principles of
    programming languages. POPL: Principles of Programming Languages, 353–366.'
  mla: Henzinger, Thomas A., et al. “Temporal Proof Methodologies for Real-Time Systems.”
    <i>Proceedings of the 18th ACM SIGPLAN-SIGACT Symposium on Principles of Programming
    Languages</i>, ACM, 1991, pp. 353–66, doi:<a href="https://doi.org/10.1145/99583.99629">10.1145/99583.99629</a>.
  short: T.A. Henzinger, Z. Manna, A. Pnueli, in:, Proceedings of the 18th ACM SIGPLAN-SIGACT
    Symposium on Principles of Programming Languages, ACM, 1991, pp. 353–366.
conference:
  end_date: 1991-01-23
  location: Orlando, FL, United States of America
  name: 'POPL: Principles of Programming Languages'
  start_date: 1991-01-21
date_created: 2018-12-11T12:09:13Z
date_published: 1991-01-01T00:00:00Z
date_updated: 2022-02-24T14:44:39Z
day: '01'
doi: 10.1145/99583.99629
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://dl.acm.org/doi/10.1145/99583.99629
month: '01'
oa_version: None
page: 353 - 366
publication: Proceedings of the 18th ACM SIGPLAN-SIGACT symposium on Principles of
  programming languages
publication_identifier:
  isbn:
  - 978-0-89791-419-2
publication_status: published
publisher: ACM
publist_id: '221'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Temporal proof methodologies for real-time systems
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1991'
...
---
_id: '4516'
abstract:
- lang: eng
  text: We extend the specification language of temporal logic, the corresponding
    verification framework, and the underlying computational model to deal with real-time
    properties of reactive systems. Semantics We introduce the abstract computational
    model of timed transition systems as a conservative extension of traditional transition
    systems qualitative fairness requirements are superseded by quantitative real-time
    constraints on the transitions. Digital clocks are introduced as observers of
    continuous real-time behavior. We justify our semantical abstractions by demonstrating
    that a wide variety of concrete real-time systems can be modeled adequately. Specification
    We present two conservative extensions of temporal logic that allow for the specification
    of timing constraints while timed temporal logic provides access to time through
    a novel kind of time quantifier, metric temporal logic refers to time through
    time-bounded versions of the temporal operators. We justify our choice of specification
    languages by developing a general framework for the classification of real-time
    logics according to their complexity and expressive power. Verification We develop
    tools for determining if a real-time system that is modeled as a timed transition
    system meets a specification that is given in timed temporal logic or in metric
    temporal logic. We present both model-checking algorithms for the automatic verification
    of finite-state real-time systems and proof methods for the deductive verification
    of real-time systems.
article_processing_charge: No
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: Henzinger TA. The temporal specification and verification of real-time systems
    . 1991.
  apa: Henzinger, T. A. (1991). <i>The temporal specification and verification of
    real-time systems </i>. Stanford University.
  chicago: Henzinger, Thomas A. “The Temporal Specification and Verification of Real-Time
    Systems .” Stanford University, 1991.
  ieee: T. A. Henzinger, “The temporal specification and verification of real-time
    systems ,” Stanford University, 1991.
  ista: Henzinger TA. 1991. The temporal specification and verification of real-time
    systems . Stanford University.
  mla: Henzinger, Thomas A. <i>The Temporal Specification and Verification of Real-Time
    Systems </i>. Stanford University, 1991.
  short: T.A. Henzinger, The Temporal Specification and Verification of Real-Time
    Systems , Stanford University, 1991.
date_created: 2018-12-11T12:09:15Z
date_published: 1991-08-30T00:00:00Z
date_updated: 2022-02-24T14:12:36Z
day: '30'
degree_awarded: PhD
extern: '1'
language:
- iso: eng
main_file_link:
- url: http://pub.ist.ac.at/~tah/Publications/the_temporal_specification_and_verification_of_real-time_systems.pdf
month: '08'
oa_version: None
page: '295'
publication_status: published
publisher: Stanford University
publist_id: '210'
status: public
title: 'The temporal specification and verification of real-time systems '
type: dissertation
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1991'
...
---
_id: '2480'
abstract:
- lang: eng
  text: Functional cDNA clones for rat neuromedin K receptor were isolated from a
    rat brain cDNA library by cross-hybridization with the bovine substance K recepor
    cDNA. Injection of the mRNA synthesized in vitro from the cloned cDNA into Xenopus
    oocytes elicited electrophysiological responses to tachykinins, with the most
    potent sensitivity being to neuromedin K. Ligand-binding displacement in membranes
    of mammalian COS cells transfected with the cDNA indicated the rank order of affinity
    of the receptor to tachykinins; neuromedin K &gt; substance K &gt; substance P.
    The hybridization analysis showed that the neuromedin K receptor mRNA is expressed
    in both the brain and the peripheral tissues at different levels. The rat neuromedin
    K receptor consists of 452 amino acid residues and belongs to the family of G
    protein-coupled receptors, which are thought to have seven transmembrane domains.
    The sequence comparison of the rat neuromedin K, substance P, and substance K
    receptors revealed that these receptors are highly conserved in the seven transmembrane
    domains and the cytoplasmic sides of the receptors. They also show some structural
    characteristics, including the common presence of histidine residues in transmembrane
    segments V and VI and the difference in the numbers and distributions of serine
    and threonine residues as possible phosphorylation sites in the cytoplasmic regions.
    This paper thus presents the first comprehensive analysis of the molecular nature
    of the multiple peptide receptors that exhibit similar but pharmacologically distinguishable
    activities.
acknowledgement: This work was supported in part by research grants from the Ministry
  Education, Science and Culture of Japan; the Institute of Physical and Chemical
  Research; and the Science and Technology Agency of Japan. The costs of publication
  of this article were defrayed in part by the payment of page charges. This article
  must therefore be hereby marked “advertisement” in accordance with 18 USC. Section
  1734 solely to indicate this fact.
article_processing_charge: No
article_type: original
author:
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Yoshifumi
  full_name: Yokota, Yoshifumi
  last_name: Yokota
- first_name: Kunihiro
  full_name: Tsuchida, Kunihiro
  last_name: Tsuchida
- first_name: Shigetada
  full_name: Nakanishi, Shigetada
  last_name: Nakanishi
citation:
  ama: Shigemoto R, Yokota Y, Tsuchida K, Nakanishi S. Cloning and expression of a
    rat neuromedin K receptor cDNA. <i>Journal of Biological Chemistry</i>. 1990;265(2):623-628.
    doi:<a href="https://doi.org/10.1016/s0021-9258(19)40095-1 ">10.1016/s0021-9258(19)40095-1
    </a>
  apa: Shigemoto, R., Yokota, Y., Tsuchida, K., &#38; Nakanishi, S. (1990). Cloning
    and expression of a rat neuromedin K receptor cDNA. <i>Journal of Biological Chemistry</i>.
    American Society for Biochemistry and Molecular Biology. <a href="https://doi.org/10.1016/s0021-9258(19)40095-1
    ">https://doi.org/10.1016/s0021-9258(19)40095-1 </a>
  chicago: Shigemoto, Ryuichi, Yoshifumi Yokota, Kunihiro Tsuchida, and Shigetada
    Nakanishi. “Cloning and Expression of a Rat Neuromedin K Receptor CDNA.” <i>Journal
    of Biological Chemistry</i>. American Society for Biochemistry and Molecular Biology,
    1990. <a href="https://doi.org/10.1016/s0021-9258(19)40095-1 ">https://doi.org/10.1016/s0021-9258(19)40095-1
    </a>.
  ieee: R. Shigemoto, Y. Yokota, K. Tsuchida, and S. Nakanishi, “Cloning and expression
    of a rat neuromedin K receptor cDNA,” <i>Journal of Biological Chemistry</i>,
    vol. 265, no. 2. American Society for Biochemistry and Molecular Biology, pp.
    623–628, 1990.
  ista: Shigemoto R, Yokota Y, Tsuchida K, Nakanishi S. 1990. Cloning and expression
    of a rat neuromedin K receptor cDNA. Journal of Biological Chemistry. 265(2),
    623–628.
  mla: Shigemoto, Ryuichi, et al. “Cloning and Expression of a Rat Neuromedin K Receptor
    CDNA.” <i>Journal of Biological Chemistry</i>, vol. 265, no. 2, American Society
    for Biochemistry and Molecular Biology, 1990, pp. 623–28, doi:<a href="https://doi.org/10.1016/s0021-9258(19)40095-1
    ">10.1016/s0021-9258(19)40095-1 </a>.
  short: R. Shigemoto, Y. Yokota, K. Tsuchida, S. Nakanishi, Journal of Biological
    Chemistry 265 (1990) 623–628.
date_created: 2018-12-11T11:57:55Z
date_published: 1990-01-15T00:00:00Z
date_updated: 2022-02-24T11:07:05Z
day: '15'
doi: '10.1016/s0021-9258(19)40095-1 '
extern: '1'
external_id:
  pmid:
  - '2153106 '
intvolume: '       265'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/S0021925819400951
month: '01'
oa: 1
oa_version: Published Version
page: 623 - 628
pmid: 1
publication: Journal of Biological Chemistry
publication_identifier:
  eissn:
  - 1083-351X
  issn:
  - 0021-9258
publication_status: published
publisher: American Society for Biochemistry and Molecular Biology
publist_id: '4421'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Cloning and expression of a rat neuromedin K receptor cDNA
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 265
year: '1990'
...
---
_id: '2481'
abstract:
- lang: eng
  text: The family of mammalian tachykinin receptors consists of substance P receptor
    (SPR), neuromedin K receptor (NKR) and substance K receptor (SKR). In this investigation,
    tissue and regional distributions of the mRNAs for the three rat tachykinin receptors
    were investigated by blot-hybridization and RNase-protection analyses using the
    previously cloned receptor cDNAs. SPR mRNA is widely distributed in both the nervous
    system and peripheral tissues and is expressed abundantly in the hypothalamus
    and olfactory buld, as well as in the urinary bladder, salivary glands and small
    and large intestines. In contrast, NKR mRNA is predominantly expressed in the
    nervous system, particularly in the cortex, hypothalamus and cerebellum, whereas
    SKR mRNA expression is restricted to the peripheral tissues, being abundant in
    the urinary bladder, large intestine, stomach and adenal glands. Thus, the mRNAs
    for the three tachykinin receptors show distinct patterns of expression between
    the nervous system and peripheral tissues. Blot-hybridization analysis in combination
    with S1 nuclease protection and primer-extension analyses revealed that there
    are two large forms of SKR mRNA expressed commonly in the peripheral tissues,
    and two additional small forms of the mRNA expressed specifically in the adrenal
    gland and eye. These analyses also showed that the multiple forms of SKR mRNA
    differ in the lengths of the 5' mRNA portions, and that the two small forms of
    the mRNA, if translated, encode a truncated SKR polypeptide lacking the first
    two transmembrane domains. This investigation thus provides the comprehensive
    analysis of the distribution and mode of expression of the mRNAs for the multiple
    peptide receptors and offers a new basis on which to interpret the diverse functions
    of multiple tachykinin peptides in the CNS and peripheral tissues.
acknowledgement: This work was supported in part by research grants from  the Ministry
  of Education, Science and Culture of Japan, the Ministry of Health  and Welfare
  of Japan, and the Yamanouchi Foundation for Research on Metabolic Disorders
article_processing_charge: No
article_type: original
author:
- first_name: Kunihiro
  full_name: Tsuchida, Kunihiro
  last_name: Tsuchida
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Yoshifumi
  full_name: Yokota, Yoshifumi
  last_name: Yokota
- first_name: Shigetada
  full_name: Nakanishi, Shigetada
  last_name: Nakanishi
citation:
  ama: Tsuchida K, Shigemoto R, Yokota Y, Nakanishi S. Tissue distribution and quantitation
    of the mRNAs for three rat tachykinin receptors. <i>European Journal of Biochemistry</i>.
    1990;193(3):751-757. doi:<a href="https://doi.org/10.1111/j.1432-1033.1990.tb19396.x">10.1111/j.1432-1033.1990.tb19396.x</a>
  apa: Tsuchida, K., Shigemoto, R., Yokota, Y., &#38; Nakanishi, S. (1990). Tissue
    distribution and quantitation of the mRNAs for three rat tachykinin receptors.
    <i>European Journal of Biochemistry</i>. Wiley-Blackwell. <a href="https://doi.org/10.1111/j.1432-1033.1990.tb19396.x">https://doi.org/10.1111/j.1432-1033.1990.tb19396.x</a>
  chicago: Tsuchida, Kunihiro, Ryuichi Shigemoto, Yoshifumi Yokota, and Shigetada
    Nakanishi. “Tissue Distribution and Quantitation of the MRNAs for Three Rat Tachykinin
    Receptors.” <i>European Journal of Biochemistry</i>. Wiley-Blackwell, 1990. <a
    href="https://doi.org/10.1111/j.1432-1033.1990.tb19396.x">https://doi.org/10.1111/j.1432-1033.1990.tb19396.x</a>.
  ieee: K. Tsuchida, R. Shigemoto, Y. Yokota, and S. Nakanishi, “Tissue distribution
    and quantitation of the mRNAs for three rat tachykinin receptors,” <i>European
    Journal of Biochemistry</i>, vol. 193, no. 3. Wiley-Blackwell, pp. 751–757, 1990.
  ista: Tsuchida K, Shigemoto R, Yokota Y, Nakanishi S. 1990. Tissue distribution
    and quantitation of the mRNAs for three rat tachykinin receptors. European Journal
    of Biochemistry. 193(3), 751–757.
  mla: Tsuchida, Kunihiro, et al. “Tissue Distribution and Quantitation of the MRNAs
    for Three Rat Tachykinin Receptors.” <i>European Journal of Biochemistry</i>,
    vol. 193, no. 3, Wiley-Blackwell, 1990, pp. 751–57, doi:<a href="https://doi.org/10.1111/j.1432-1033.1990.tb19396.x">10.1111/j.1432-1033.1990.tb19396.x</a>.
  short: K. Tsuchida, R. Shigemoto, Y. Yokota, S. Nakanishi, European Journal of Biochemistry
    193 (1990) 751–757.
date_created: 2018-12-11T11:57:55Z
date_published: 1990-03-03T00:00:00Z
date_updated: 2022-02-24T10:20:14Z
day: '03'
doi: 10.1111/j.1432-1033.1990.tb19396.x
extern: '1'
external_id:
  pmid:
  - '1701145'
intvolume: '       193'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://febs.onlinelibrary.wiley.com/doi/10.1111/j.1432-1033.1990.tb19396.x
month: '03'
oa: 1
oa_version: Published Version
page: 751 - 757
pmid: 1
publication: European Journal of Biochemistry
publication_identifier:
  eissn:
  - 1432-1033
  issn:
  - 0014-2956
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4420'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Tissue distribution and quantitation of the mRNAs for three rat tachykinin
  receptors
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 193
year: '1990'
...
---
_id: '2528'
abstract:
- lang: eng
  text: We previously reported a novel rat membrane protein that exhibits a voltage-dependent
    potassium channel activity on the basis of molecular cloning combined with an
    electrophysiological assay. This protein, termed I(sK) protein, is small and different
    from the conventional potassium channel proteins but induces selective permeation
    of potassium ions on its expression in Xenopus oocytes. In this investigation,
    we examined cellular localization of rat I(sK) protein by preparing three different
    types of antibody that specifically reacts with a distinct part of rat I(sK) protein.
    Immunohistochemical analysis using these antibody preparations demonstrated that
    rat I(sK) protein is confined to the apical membrane portion of epithelial cells
    in the proximal tubule of the kidney, the submandibular duct and the uterine endometrium.
    The observed tissue distribution of rat I(sK) protein was consistent with that
    of the I(sK) protein mRNA determined by blot hybridization analysis. In epithelial
    cells, the sodium, potassium-ATPase pump in the basolateral membrane generates
    a sodium gradient across the epithelial cell and allows sodium ions to enter the
    cell through the apical membrane. Thus, taking into account the cellular localization
    of the I(sK) protein, together with its electrophysiological properties, we discussed
    a possible function of the I(sK) protein, namely that this protein is involved
    in potassium permeation in the apical membrane of epithelial cells through the
    depolarizing effect of sodium entry.
article_processing_charge: No
article_type: original
author:
- first_name: Tetsuo
  full_name: Sugimoto, Tetsuo
  last_name: Sugimoto
- first_name: Yasuto
  full_name: Tanabe, Yasuto
  last_name: Tanabe
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Masazumi
  full_name: Iwai, Masazumi
  last_name: Iwai
- first_name: Toru
  full_name: Takumi, Toru
  last_name: Takumi
- first_name: Hiroaki
  full_name: Ohkubo, Hiroaki
  last_name: Ohkubo
- first_name: Shigetada
  full_name: Nakanishi, Shigetada
  last_name: Nakanishi
citation:
  ama: 'Sugimoto T, Tanabe Y, Shigemoto R, et al. Immunohistochemical study of a rat
    membrane protein which induces a selective potassium permeation: Its localization
    in the apical membrane portion of epithelial cells. <i>Journal of Membrane Biology</i>.
    1990;113(1):39-47. doi:<a href="https://doi.org/10.1007/BF01869604">10.1007/BF01869604</a>'
  apa: 'Sugimoto, T., Tanabe, Y., Shigemoto, R., Iwai, M., Takumi, T., Ohkubo, H.,
    &#38; Nakanishi, S. (1990). Immunohistochemical study of a rat membrane protein
    which induces a selective potassium permeation: Its localization in the apical
    membrane portion of epithelial cells. <i>Journal of Membrane Biology</i>. Springer.
    <a href="https://doi.org/10.1007/BF01869604">https://doi.org/10.1007/BF01869604</a>'
  chicago: 'Sugimoto, Tetsuo, Yasuto Tanabe, Ryuichi Shigemoto, Masazumi Iwai, Toru
    Takumi, Hiroaki Ohkubo, and Shigetada Nakanishi. “Immunohistochemical Study of
    a Rat Membrane Protein Which Induces a Selective Potassium Permeation: Its Localization
    in the Apical Membrane Portion of Epithelial Cells.” <i>Journal of Membrane Biology</i>.
    Springer, 1990. <a href="https://doi.org/10.1007/BF01869604">https://doi.org/10.1007/BF01869604</a>.'
  ieee: 'T. Sugimoto <i>et al.</i>, “Immunohistochemical study of a rat membrane protein
    which induces a selective potassium permeation: Its localization in the apical
    membrane portion of epithelial cells,” <i>Journal of Membrane Biology</i>, vol.
    113, no. 1. Springer, pp. 39–47, 1990.'
  ista: 'Sugimoto T, Tanabe Y, Shigemoto R, Iwai M, Takumi T, Ohkubo H, Nakanishi
    S. 1990. Immunohistochemical study of a rat membrane protein which induces a selective
    potassium permeation: Its localization in the apical membrane portion of epithelial
    cells. Journal of Membrane Biology. 113(1), 39–47.'
  mla: 'Sugimoto, Tetsuo, et al. “Immunohistochemical Study of a Rat Membrane Protein
    Which Induces a Selective Potassium Permeation: Its Localization in the Apical
    Membrane Portion of Epithelial Cells.” <i>Journal of Membrane Biology</i>, vol.
    113, no. 1, Springer, 1990, pp. 39–47, doi:<a href="https://doi.org/10.1007/BF01869604">10.1007/BF01869604</a>.'
  short: T. Sugimoto, Y. Tanabe, R. Shigemoto, M. Iwai, T. Takumi, H. Ohkubo, S. Nakanishi,
    Journal of Membrane Biology 113 (1990) 39–47.
date_created: 2018-12-11T11:58:12Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-24T09:55:39Z
day: '01'
doi: 10.1007/BF01869604
extern: '1'
external_id:
  pmid:
  - '2154581'
intvolume: '       113'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/BF01869604
month: '01'
oa_version: None
page: 39 - 47
pmid: 1
publication: Journal of Membrane Biology
publication_identifier:
  eissn:
  - 1432-1424
  issn:
  - 0022-2631
publication_status: published
publisher: Springer
publist_id: '4371'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Immunohistochemical study of a rat membrane protein which induces a selective
  potassium permeation: Its localization in the apical membrane portion of epithelial
  cells'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 113
year: '1990'
...
---
_id: '2721'
abstract:
- lang: eng
  text: We consider a multidimensional system consisting of a particle of mass M and
    radius r (molecule), surrounded by an infinite ideal gas of point particles of
    mass m (atoms). The molecule is confined to the unit ball and interacts with its
    boundary (barrier) via elastic collision, while the atoms are not affected by
    the boundary. We obtain convergence to equilibrium for the molecule from almost
    every initial distribution on its position and velocity. Furthermore, we prove
    that the infinite composite system of the molecule and the atoms is Bernoulli.
article_processing_charge: No
article_type: original
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Dao
  full_name: Tuyen, Dao
  last_name: Tuyen
citation:
  ama: Erdös L, Tuyen D. Ergodic properties of the multidimensional rayleigh gas with
    a semipermeable barrier. <i>Journal of Statistical Physics</i>. 1990;59(5-6):1589-1602.
    doi:<a href="https://doi.org/10.1007/BF01334766">10.1007/BF01334766</a>
  apa: Erdös, L., &#38; Tuyen, D. (1990). Ergodic properties of the multidimensional
    rayleigh gas with a semipermeable barrier. <i>Journal of Statistical Physics</i>.
    Springer. <a href="https://doi.org/10.1007/BF01334766">https://doi.org/10.1007/BF01334766</a>
  chicago: Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional
    Rayleigh Gas with a Semipermeable Barrier.” <i>Journal of Statistical Physics</i>.
    Springer, 1990. <a href="https://doi.org/10.1007/BF01334766">https://doi.org/10.1007/BF01334766</a>.
  ieee: L. Erdös and D. Tuyen, “Ergodic properties of the multidimensional rayleigh
    gas with a semipermeable barrier,” <i>Journal of Statistical Physics</i>, vol.
    59, no. 5–6. Springer, pp. 1589–1602, 1990.
  ista: Erdös L, Tuyen D. 1990. Ergodic properties of the multidimensional rayleigh
    gas with a semipermeable barrier. Journal of Statistical Physics. 59(5–6), 1589–1602.
  mla: Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional Rayleigh
    Gas with a Semipermeable Barrier.” <i>Journal of Statistical Physics</i>, vol.
    59, no. 5–6, Springer, 1990, pp. 1589–602, doi:<a href="https://doi.org/10.1007/BF01334766">10.1007/BF01334766</a>.
  short: L. Erdös, D. Tuyen, Journal of Statistical Physics 59 (1990) 1589–1602.
date_created: 2018-12-11T11:59:15Z
date_published: 1990-06-01T00:00:00Z
date_updated: 2022-02-24T09:39:29Z
day: '01'
doi: 10.1007/BF01334766
extern: '1'
intvolume: '        59'
issue: 5-6
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/BF01334766
month: '06'
oa_version: None
page: 1589 - 1602
publication: Journal of Statistical Physics
publication_identifier:
  eissn:
  - 1572-9613
  issn:
  - 0022-4715
publication_status: published
publisher: Springer
publist_id: '4171'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ergodic properties of the multidimensional rayleigh gas with a semipermeable
  barrier
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 59
year: '1990'
...
---
_id: '4597'
abstract:
- lang: eng
  text: 'A unifying framework for the study of real-time logics is developed. In analogy
    to the untimed case, the underlying classical theory of timed state sequences
    is identified, it is shown to be nonelementarily decidable, and its complexity
    and expressiveness are used as a point of reference. Two orthogonal extensions
    of PTL (timed propositional temporal logic and metric temporal logic) that inherit
    its appeal are defined: they capture elementary, yet expressively complete, fragments
    of the theory of timed state sequences, and thus are excellent candidates for
    practical real-time specification languages'
article_processing_charge: No
author:
- first_name: Rajeev
  full_name: Alur, Rajeev
  last_name: Alur
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Alur R, Henzinger TA. Real-time logics: Complexity and expressiveness. In:
    <i> 5th Annual IEEE Symposium on Logic in Computer Science</i>. IEEE; 1990:390-401.
    doi:<a href="https://doi.org/10.1109/LICS.1990.113764">10.1109/LICS.1990.113764</a>'
  apa: 'Alur, R., &#38; Henzinger, T. A. (1990). Real-time logics: Complexity and
    expressiveness. In <i> 5th Annual IEEE Symposium on Logic in Computer Science</i>
    (pp. 390–401). Philadelphia, PA, USA: IEEE. <a href="https://doi.org/10.1109/LICS.1990.113764">https://doi.org/10.1109/LICS.1990.113764</a>'
  chicago: 'Alur, Rajeev, and Thomas A Henzinger. “Real-Time Logics: Complexity and
    Expressiveness.” In <i> 5th Annual IEEE Symposium on Logic in Computer Science</i>,
    390–401. IEEE, 1990. <a href="https://doi.org/10.1109/LICS.1990.113764">https://doi.org/10.1109/LICS.1990.113764</a>.'
  ieee: 'R. Alur and T. A. Henzinger, “Real-time logics: Complexity and expressiveness,”
    in <i> 5th Annual IEEE Symposium on Logic in Computer Science</i>, Philadelphia,
    PA, USA, 1990, pp. 390–401.'
  ista: 'Alur R, Henzinger TA. 1990. Real-time logics: Complexity and expressiveness.  5th
    Annual IEEE Symposium on Logic in Computer Science. LICS: Logic in Computer Science,
    390–401.'
  mla: 'Alur, Rajeev, and Thomas A. Henzinger. “Real-Time Logics: Complexity and Expressiveness.”
    <i> 5th Annual IEEE Symposium on Logic in Computer Science</i>, IEEE, 1990, pp.
    390–401, doi:<a href="https://doi.org/10.1109/LICS.1990.113764">10.1109/LICS.1990.113764</a>.'
  short: R. Alur, T.A. Henzinger, in:,  5th Annual IEEE Symposium on Logic in Computer
    Science, IEEE, 1990, pp. 390–401.
conference:
  end_date: 1990-06-07
  location: Philadelphia, PA, USA
  name: 'LICS: Logic in Computer Science'
  start_date: 1990-06-04
date_created: 2018-12-11T12:09:40Z
date_published: 1990-08-06T00:00:00Z
date_updated: 2022-02-15T14:35:30Z
day: '06'
doi: 10.1109/LICS.1990.113764
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://ieeexplore.ieee.org/document/113764
month: '08'
oa_version: None
page: 390 - 401
publication: ' 5th Annual IEEE Symposium on Logic in Computer Science'
publication_identifier:
  isbn:
  - 0-8186-2073-0
publication_status: published
publisher: IEEE
publist_id: '112'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Real-time logics: Complexity and expressiveness'
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1990'
...
---
_id: '3467'
abstract:
- lang: eng
  text: The effects of mast cell degranulating peptide (MCDP), a toxin from the honey
    bee, and of dendrotoxin (DTX), a toxin from the green mamba snake, were studied
    in voltage-clamped experiments with myelinated nerve fibres of Xenopus. MCDP and
    DTX blocked part of the K+ current. About 20% of the K+ current, however, was
    resistant to the toxins even in high concentrations. In Ringer solution half-maximal
    block was reached with concentrations of 33 nM MCDP and 11 nM DTX. In high-K+
    solution the potency of both toxins was lower. β-Bungarotoxin (β-BuTX), another
    snake toxin, also blocked part of the K+ current, but was less potent than MCDP
    and DTX. Tail currents in high-K+ solution were analysed and three K+ current
    components were separated according to Dubois (1981b). Both MCDP and DTX selectively
    blocked a fast deactivating, slowly inactivating K+ current component which steeply
    activates between E = -60 mV and E = -40 mV (component f1). In concentrations
    around 100 nM, MCDP and DTX blocked neither the slow K+ current (component s)
    nor the fast deactivating, rapidly inactivating K+ current which activates between
    E = -40 mV and E = 20 mV (component f2). Similar results could be derived from
    K+ outward currents in Ringer solution. In high-K+, IC50 of MCDP for component
    f1 was 99 nM, whereas it was 7.6 μM for f2. Corresponding values for DTX are 68
    nM and 1.8 μM. Binding studies with nerve fibre membranes of Xenopus reveal high-affinity
    binding sites for 125I-labelled DTX )K(D) = 22 pM in Ringer solution and 81 pM
    in high-K+ solution). 125I-labelled DTX can be displaced from its sites completely
    by unlabelled DTX, toxin I (black mamba toxin), MCDP, and partially by β-BuTX.
    Immunocytochemical staining demonstrates that binding sites for DTX are present
    in nodal and paranodal regions of the axonal membrane. The axonal membrane of
    motor and sensory nerve fibres is equipped with three types of well-characterized
    K+ channels and constitutes so far the best preparation to study MCDP- and DTX-sensitive
    K+ channels with electrophysiological and biochemical methods.
acknowledgement: "We thank Professor E. Habermann for critical reading of the manuscript
  and E. Schmidt and J. Schafer for technical assistance. Financial support by the
  Deutsche Forschungsgemeinschaft (Vo 188/13-1 and SFB 249) is gratefully acknowledged.\r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Michael
  full_name: Bräu, Michael
  last_name: Bräu
- first_name: Florian
  full_name: Dreyer, Florian
  last_name: Dreyer
- first_name: Peter M
  full_name: Jonas, Peter M
  id: 353C1B58-F248-11E8-B48F-1D18A9856A87
  last_name: Jonas
  orcid: 0000-0001-5001-4804
- first_name: Holger
  full_name: Repp, Holger
  last_name: Repp
- first_name: Werner
  full_name: Vogel, Werner
  last_name: Vogel
citation:
  ama: 'Bräu M, Dreyer F, Jonas PM, Repp H, Vogel W. A K+ channel in Xenopus nerve
    fibres selectively blocked by bee and snake toxins: binding and voltage-clamp
    experiments. <i>Journal of Physiology</i>. 1990;420:365-385. doi:<a href="https://doi.org/10.1113/jphysiol.1990.sp017918">10.1113/jphysiol.1990.sp017918</a>'
  apa: 'Bräu, M., Dreyer, F., Jonas, P. M., Repp, H., &#38; Vogel, W. (1990). A K+
    channel in Xenopus nerve fibres selectively blocked by bee and snake toxins: binding
    and voltage-clamp experiments. <i>Journal of Physiology</i>. Wiley-Blackwell.
    <a href="https://doi.org/10.1113/jphysiol.1990.sp017918">https://doi.org/10.1113/jphysiol.1990.sp017918</a>'
  chicago: 'Bräu, Michael, Florian Dreyer, Peter M Jonas, Holger Repp, and Werner
    Vogel. “A K+ Channel in Xenopus Nerve Fibres Selectively Blocked by Bee and Snake
    Toxins: Binding and Voltage-Clamp Experiments.” <i>Journal of Physiology</i>.
    Wiley-Blackwell, 1990. <a href="https://doi.org/10.1113/jphysiol.1990.sp017918">https://doi.org/10.1113/jphysiol.1990.sp017918</a>.'
  ieee: 'M. Bräu, F. Dreyer, P. M. Jonas, H. Repp, and W. Vogel, “A K+ channel in
    Xenopus nerve fibres selectively blocked by bee and snake toxins: binding and
    voltage-clamp experiments,” <i>Journal of Physiology</i>, vol. 420. Wiley-Blackwell,
    pp. 365–385, 1990.'
  ista: 'Bräu M, Dreyer F, Jonas PM, Repp H, Vogel W. 1990. A K+ channel in Xenopus
    nerve fibres selectively blocked by bee and snake toxins: binding and voltage-clamp
    experiments. Journal of Physiology. 420, 365–385.'
  mla: 'Bräu, Michael, et al. “A K+ Channel in Xenopus Nerve Fibres Selectively Blocked
    by Bee and Snake Toxins: Binding and Voltage-Clamp Experiments.” <i>Journal of
    Physiology</i>, vol. 420, Wiley-Blackwell, 1990, pp. 365–85, doi:<a href="https://doi.org/10.1113/jphysiol.1990.sp017918">10.1113/jphysiol.1990.sp017918</a>.'
  short: M. Bräu, F. Dreyer, P.M. Jonas, H. Repp, W. Vogel, Journal of Physiology
    420 (1990) 365–385.
date_created: 2018-12-11T12:03:29Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-23T16:10:03Z
day: '01'
doi: 10.1113/jphysiol.1990.sp017918
extern: '1'
external_id:
  pmid:
  - '2324990'
intvolume: '       420'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1190055/
month: '01'
oa: 1
oa_version: None
page: 365 - 385
pmid: 1
publication: Journal of Physiology
publication_identifier:
  eissn:
  - 1469-7793
  issn:
  - 0022-3751
publication_status: published
publisher: Wiley-Blackwell
publist_id: '2920'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'A K+ channel in Xenopus nerve fibres selectively blocked by bee and snake
  toxins: binding and voltage-clamp experiments'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 420
year: '1990'
...
---
_id: '3565'
abstract:
- lang: eng
  text: We investigate the complexity of determining the shape and presentation (i.e.
    position with orientation) of convex polytopes in multi-dimensional Euclidean
    space using a variety of probe models.
acknowledgement: "NSF Grant MCS-83-03926 and DCR-85-05517\r\nAmoco Foundation Faculty
  Development in Computer Science\r\nNSF Grant DCR-84-01633 and DCR-84-01898"
article_processing_charge: No
author:
- first_name: David
  full_name: Dobkin, David
  last_name: Dobkin
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Chee
  full_name: Yap, Chee
  last_name: Yap
citation:
  ama: 'Dobkin D, Edelsbrunner H, Yap C. Probing convex polytopes. In: Cox I, Wilfong
    G, eds. <i>Autonomous Robot Vehicles</i>. Springer; 1990:328-341. doi:<a href="https://doi.org/10.1007/978-1-4613-8997-2_25">10.1007/978-1-4613-8997-2_25</a>'
  apa: Dobkin, D., Edelsbrunner, H., &#38; Yap, C. (1990). Probing convex polytopes.
    In I. Cox &#38; G. Wilfong (Eds.), <i>Autonomous Robot Vehicles</i> (pp. 328–341).
    Springer. <a href="https://doi.org/10.1007/978-1-4613-8997-2_25">https://doi.org/10.1007/978-1-4613-8997-2_25</a>
  chicago: Dobkin, David, Herbert Edelsbrunner, and Chee Yap. “Probing Convex Polytopes.”
    In <i>Autonomous Robot Vehicles</i>, edited by Ingemar Cox and Gordon Wilfong,
    328–41. Springer, 1990. <a href="https://doi.org/10.1007/978-1-4613-8997-2_25">https://doi.org/10.1007/978-1-4613-8997-2_25</a>.
  ieee: D. Dobkin, H. Edelsbrunner, and C. Yap, “Probing convex polytopes,” in <i>Autonomous
    Robot Vehicles</i>, I. Cox and G. Wilfong, Eds. Springer, 1990, pp. 328–341.
  ista: 'Dobkin D, Edelsbrunner H, Yap C. 1990.Probing convex polytopes. In: Autonomous
    Robot Vehicles. , 328–341.'
  mla: Dobkin, David, et al. “Probing Convex Polytopes.” <i>Autonomous Robot Vehicles</i>,
    edited by Ingemar Cox and Gordon Wilfong, Springer, 1990, pp. 328–41, doi:<a href="https://doi.org/10.1007/978-1-4613-8997-2_25">10.1007/978-1-4613-8997-2_25</a>.
  short: D. Dobkin, H. Edelsbrunner, C. Yap, in:, I. Cox, G. Wilfong (Eds.), Autonomous
    Robot Vehicles, Springer, 1990, pp. 328–341.
date_created: 2018-12-11T12:03:59Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-23T15:41:07Z
day: '01'
doi: 10.1007/978-1-4613-8997-2_25
editor:
- first_name: Ingemar
  full_name: Cox, Ingemar
  last_name: Cox
- first_name: Gordon
  full_name: Wilfong, Gordon
  last_name: Wilfong
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-1-4613-8997-2_25
month: '01'
oa_version: None
page: 328 - 341
publication: Autonomous Robot Vehicles
publication_identifier:
  isbn:
  - 978-1-4613-8997-2
publication_status: published
publisher: Springer
publist_id: '2820'
quality_controlled: '1'
status: public
title: Probing convex polytopes
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1990'
...
---
_id: '3649'
abstract:
- lang: eng
  text: Selection on polygenic characters is generally analyzed by statistical methods
    that assume a Gaussian (normal) distribution of breeding values. We present an
    alternative analysis based on multilocus population genetics. We use a general
    representation of selection, recombination, and drift to analyze an idealized
    polygenic system in which all genetic effects are additive (i.e., both dominance
    and epistasis are absent), but no assumptions are made about the distribution
    of breeding values or the numbers of loci or alleles. Our analysis produces three
    results. First, our equations reproduce the standard recursions for the mean and
    additive variance if breeding values are Gaussian; but they also reveal how non-Gaussian
    distributions of breeding values will alter these dynamics. Second, an approximation
    valid for weak selection shows that even if genetic variance is attributable to
    an effectively infinite number of loci with only additive effects, selection will
    generally drive the distribution of breeding values away from a Gaussian distribution
    by creating multilocus linkage disequilibria. Long-term dynamics of means can
    depart substantially from the predictions of the standard selection recursions,
    but the discrepancy may often be negligible for short-term selection. Third, by
    including mutation, we show that, for realistic parameter values, linkage disequilibrium
    has little effect on the amount of additive variance maintained at an equilibrium
    between stabilizing selection and mutation. Each of these analytical results is
    supported by numerical calculations.
acknowledgement: 'We thank R. Burger, J. A. Coyne, W. G. Hill, A. A. Hoffmann, J.
  H. Gillespie, M. Slatkin, T. Nagylaki and Z.-B. Zeng for helpful discussions and
  comments on earlier drafts. Our research is supported by grants from the National
  Science Foundation (BSR-8866548), the Science and Engineering Research Council,
  and the Institute of Theoretical Dynamics at UCD. '
article_processing_charge: No
article_type: original
author:
- first_name: Michael
  full_name: Turelli, Michael
  last_name: Turelli
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
citation:
  ama: Turelli M, Barton NH. Dynamics of polygenic characters under selection. <i>Theoretical
    Population Biology</i>. 1990;38(1):1-57. doi:<a href="https://doi.org/10.1016/0040-5809(90)90002-D">10.1016/0040-5809(90)90002-D</a>
  apa: Turelli, M., &#38; Barton, N. H. (1990). Dynamics of polygenic characters under
    selection. <i>Theoretical Population Biology</i>. Academic Press. <a href="https://doi.org/10.1016/0040-5809(90)90002-D">https://doi.org/10.1016/0040-5809(90)90002-D</a>
  chicago: Turelli, Michael, and Nicholas H Barton. “Dynamics of Polygenic Characters
    under Selection.” <i>Theoretical Population Biology</i>. Academic Press, 1990.
    <a href="https://doi.org/10.1016/0040-5809(90)90002-D">https://doi.org/10.1016/0040-5809(90)90002-D</a>.
  ieee: M. Turelli and N. H. Barton, “Dynamics of polygenic characters under selection,”
    <i>Theoretical Population Biology</i>, vol. 38, no. 1. Academic Press, pp. 1–57,
    1990.
  ista: Turelli M, Barton NH. 1990. Dynamics of polygenic characters under selection.
    Theoretical Population Biology. 38(1), 1–57.
  mla: Turelli, Michael, and Nicholas H. Barton. “Dynamics of Polygenic Characters
    under Selection.” <i>Theoretical Population Biology</i>, vol. 38, no. 1, Academic
    Press, 1990, pp. 1–57, doi:<a href="https://doi.org/10.1016/0040-5809(90)90002-D">10.1016/0040-5809(90)90002-D</a>.
  short: M. Turelli, N.H. Barton, Theoretical Population Biology 38 (1990) 1–57.
date_created: 2018-12-11T12:04:26Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-23T14:48:49Z
day: '01'
doi: 10.1016/0040-5809(90)90002-D
extern: '1'
intvolume: '        38'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://www.sciencedirect.com/science/article/pii/004058099090002D?via%3Dihub
month: '01'
oa_version: None
page: 1 - 57
publication: Theoretical Population Biology
publication_identifier:
  issn:
  - 0040-5809
publication_status: published
publisher: Academic Press
publist_id: '2734'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamics of polygenic characters under selection
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 38
year: '1990'
...
---
_id: '3650'
abstract:
- lang: eng
  text: Hybrid zones can yield estimates of natural selection and gene flow. The width
    of a cline in gene frequency is approximately proportional to gene flow (σ) divided
    by the square root of per-locus selection ( &amp;s). Gene flow also causes gametic
    correlations (linkage disequilibria) between genes that differ across hybrid zones.
    Correlations are stronger when the hybrid zone is narrow, and rise to a maximum
    roughly equal to s. Thus cline width and gametic correlations combine to give
    estimates of gene flow and selection. These indirect measures of σ and s are especially
    useful because they can be made from collections, and require no field experiments.
    The method was applied to hybrid zones between color pattern races in a pair of
    Peruvian Heliconius butterfly species. The species are Mullerian mimics of one
    another, and both show the same changes in warning color pattern across their
    respective hybrid zones. The expectations of cline width and gametic correlation
    were generated using simulations of clines stabilized by strong frequency-dependent
    selection. In the hybrid zone in Heliconius erato, clines at three major color
    pattern loci were between 8.5 and 10.2 km wide, and the pairwise gametic correlations
    peaked at R &amp; 0.35. These measures suggest that s &amp; 0.23 per locus, and
    that σ &amp; 2.6 km. In erato, the shapes of the clines agreed with that expected
    on the basis of dominance. Heliconius melpomene has a nearly coincident hybrid
    zone. In this species, cline widths at four major color pattern loci varied between
    11.7 and 13.4 km. Pairwise gametic correlations peaked near R &amp; 1.00 for tightly
    linked genes, and at R &amp; 0.40 for unlinked genes, giving s &amp; 0.25 per
    locus and σ &amp; 3.7 km. In melpomene, cline shapes did not perfectly fit theoretical
    shapes based on dominance; this deviation might be explained by long-distance
    migration and/or strong epistasis. Compared with erato, sample sizes in melpomene
    are lower and the genetics of its color patterns are less well understood. In
    spite of these problems, selection and gene flow are clearly of the same order
    of magnitude in the two species. The relatively high per locus selection coefficients
    agree with ``major gene'' theories for the evolution of Mullerian mimicry, but
    the genetic architecture of the color patterns does not. These results show that
    the genetics and evolution of mimicry are still only sketchily understood.
acknowledgement: 'We thank the Natural Environmental Research Council, the Royal Society,
  the Nuffield Foundation, CONCYTEC, and Mrs. G. W. BORLASE for financial support,
  and the people of San Martin for their generous hospitality. We are very grateful
  to S. D. KNAPP, who helped by maintaining our sanity and rearing larvae. We are
  also grateful to an anonymous reviewer, A. W. PORTER, J. C. SCHNEIDER, M. TURELLI
  and C. E. WATSON for helpful comments on the manuscript. This paper was approved
  for publication as journal article no. 5-7255 of the Mississippi Agricultural and
  Forestry Experiment Station, Mississippi State University, project no. MIS-2 122. '
article_processing_charge: No
article_type: original
author:
- first_name: James
  full_name: Mallet, James
  last_name: Mallet
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
- first_name: Gerado
  full_name: Lamas, Gerado
  last_name: Lamas
- first_name: José
  full_name: Santisteban, José
  last_name: Santisteban
- first_name: Manuel
  full_name: Muedas, Manuel
  last_name: Muedas
- first_name: Harriet
  full_name: Eeley, Harriet
  last_name: Eeley
citation:
  ama: Mallet J, Barton NH, Lamas G, Santisteban J, Muedas M, Eeley H. Estimates of
    selection and gene flow from measures of cline width and linkage disequilibrium
    in Heliconius hybrid zones. <i>Genetics</i>. 1990;124(4):921-936. doi:<a href="https://doi.org/10.1093/genetics/124.4.921">10.1093/genetics/124.4.921</a>
  apa: Mallet, J., Barton, N. H., Lamas, G., Santisteban, J., Muedas, M., &#38; Eeley,
    H. (1990). Estimates of selection and gene flow from measures of cline width and
    linkage disequilibrium in Heliconius hybrid zones. <i>Genetics</i>. Genetics Society
    of America. <a href="https://doi.org/10.1093/genetics/124.4.921">https://doi.org/10.1093/genetics/124.4.921</a>
  chicago: Mallet, James, Nicholas H Barton, Gerado Lamas, José Santisteban, Manuel
    Muedas, and Harriet Eeley. “Estimates of Selection and Gene Flow from Measures
    of Cline Width and Linkage Disequilibrium in Heliconius Hybrid Zones.” <i>Genetics</i>.
    Genetics Society of America, 1990. <a href="https://doi.org/10.1093/genetics/124.4.921">https://doi.org/10.1093/genetics/124.4.921</a>.
  ieee: J. Mallet, N. H. Barton, G. Lamas, J. Santisteban, M. Muedas, and H. Eeley,
    “Estimates of selection and gene flow from measures of cline width and linkage
    disequilibrium in Heliconius hybrid zones,” <i>Genetics</i>, vol. 124, no. 4.
    Genetics Society of America, pp. 921–936, 1990.
  ista: Mallet J, Barton NH, Lamas G, Santisteban J, Muedas M, Eeley H. 1990. Estimates
    of selection and gene flow from measures of cline width and linkage disequilibrium
    in Heliconius hybrid zones. Genetics. 124(4), 921–936.
  mla: Mallet, James, et al. “Estimates of Selection and Gene Flow from Measures of
    Cline Width and Linkage Disequilibrium in Heliconius Hybrid Zones.” <i>Genetics</i>,
    vol. 124, no. 4, Genetics Society of America, 1990, pp. 921–36, doi:<a href="https://doi.org/10.1093/genetics/124.4.921">10.1093/genetics/124.4.921</a>.
  short: J. Mallet, N.H. Barton, G. Lamas, J. Santisteban, M. Muedas, H. Eeley, Genetics
    124 (1990) 921–936.
date_created: 2018-12-11T12:04:26Z
date_published: 1990-04-01T00:00:00Z
date_updated: 2022-02-23T11:04:17Z
day: '01'
doi: 10.1093/genetics/124.4.921
extern: '1'
external_id:
  pmid:
  - '2323556'
intvolume: '       124'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1203983/
month: '04'
oa: 1
oa_version: Published Version
page: 921 - 936
pmid: 1
publication: Genetics
publication_identifier:
  issn:
  - 0016-6731
publication_status: published
publisher: Genetics Society of America
publist_id: '2733'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Estimates of selection and gene flow from measures of cline width and linkage
  disequilibrium in Heliconius hybrid zones
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 124
year: '1990'
...
---
_id: '3651'
abstract:
- lang: eng
  text: 'It is widely held that each gene typically affects many characters, and that
    each character is affected by many genes. Moreover, strong stabilizing selection
    cannot act on an indefinitely large number of independent traits. This makes it
    likely that heritable variation in any one trait is maintained as a side effect
    of polymorphisms which have nothing to do with selection on that trait. This paper
    examines the idea that variation is maintained as the pleiotropic side effect
    of either deleterious mutation, or balancing selection. If mutation is responsible,
    it must produce alleles which are only mildly deleterious (s &amp; 10(-3)), but
    nevertheless have significant effects on the trait. Balancing selection can readily
    maintain high heritabilities; however, selection must be spread over many weakly
    selected polymorphisms if large responses to artificial selection are to be possible.
    In both classes of pleiotropic model, extreme phenotypes are less fit, giving
    the appearance of stabilizing selection on the trait. However, it is shown that
    this effect is weak (of the same order as the selection on each gene): the strong
    stabilizing selection which is often observed is likely to be caused by correlations
    with a limited number of directly selected traits. Possible experiments for distinguishing
    the alternatives are discussed.'
acknowledgement: Thanks to JERRY COYNE, BILL HILL, LINDA PARTRIDGE, MICHAEL TURELLI,
  and two anonymous reviewers for their critical comments. This work was supported
  by grants from the National Science Foundation (BSR-8866548) the Science and Engineering
  Research Council (GR/E/08507), and by the Institute of Theoretical Dynamics, University
  of California, Davis.
article_processing_charge: No
article_type: original
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
citation:
  ama: Barton NH. Pleiotropic models of quantitative variation. <i>Genetics</i>. 1990;124(3):773-782.
    doi:<a href="https://doi.org/10.1093/genetics/124.3.773 ">10.1093/genetics/124.3.773
    </a>
  apa: Barton, N. H. (1990). Pleiotropic models of quantitative variation. <i>Genetics</i>.
    Genetics Society of America. <a href="https://doi.org/10.1093/genetics/124.3.773
    ">https://doi.org/10.1093/genetics/124.3.773 </a>
  chicago: Barton, Nicholas H. “Pleiotropic Models of Quantitative Variation.” <i>Genetics</i>.
    Genetics Society of America, 1990. <a href="https://doi.org/10.1093/genetics/124.3.773
    ">https://doi.org/10.1093/genetics/124.3.773 </a>.
  ieee: N. H. Barton, “Pleiotropic models of quantitative variation,” <i>Genetics</i>,
    vol. 124, no. 3. Genetics Society of America, pp. 773–782, 1990.
  ista: Barton NH. 1990. Pleiotropic models of quantitative variation. Genetics. 124(3),
    773–782.
  mla: Barton, Nicholas H. “Pleiotropic Models of Quantitative Variation.” <i>Genetics</i>,
    vol. 124, no. 3, Genetics Society of America, 1990, pp. 773–82, doi:<a href="https://doi.org/10.1093/genetics/124.3.773
    ">10.1093/genetics/124.3.773 </a>.
  short: N.H. Barton, Genetics 124 (1990) 773–782.
date_created: 2018-12-11T12:04:26Z
date_published: 1990-03-01T00:00:00Z
date_updated: 2022-02-23T10:41:43Z
day: '01'
doi: '10.1093/genetics/124.3.773 '
extern: '1'
external_id:
  pmid:
  - '2311921'
intvolume: '       124'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://academic.oup.com/genetics/article/124/3/773/5999956?login=true
month: '03'
oa: 1
oa_version: Published Version
page: 773 - 782
pmid: 1
publication: Genetics
publication_identifier:
  issn:
  - 0016-6731
publication_status: published
publisher: Genetics Society of America
publist_id: '2732'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Pleiotropic models of quantitative variation
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 124
year: '1990'
...
---
_id: '4060'
abstract:
- lang: eng
  text: This paper offers combinatorial results on extremum problems concerning the
    number of tetrahedra in a tetrahedrization of n points in general position in
    three dimensions, i.e. such that no four points are co-planar, It also presents
    an algorithm that in O(n log n) time constructs a tetrahedrization of a set of
    n points consisting of at most 3n-11 tetrahedra.
acknowledgement: Research of the first author is supported by Amoco Fnd. Fac. Dec.
  Comput. Sci. 1-6-44862, the second author is supported by NSF Grant ECS 84-10902,
  and research of the third author is supported in part by ONR Grant N00014-85K0570
  and by NSF Grant DMS 8504322.
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Franco
  full_name: Preparata, Franco
  last_name: Preparata
- first_name: Douglas
  full_name: West, Douglas
  last_name: West
citation:
  ama: Edelsbrunner H, Preparata F, West D. Tetrahedrizing point sets in three dimensions.
    <i>Journal of Symbolic Computation</i>. 1990;10(3-4):335-347. doi:<a href="https://doi.org/10.1016/S0747-7171(08)80068-5">10.1016/S0747-7171(08)80068-5</a>
  apa: Edelsbrunner, H., Preparata, F., &#38; West, D. (1990). Tetrahedrizing point
    sets in three dimensions. <i>Journal of Symbolic Computation</i>. Elsevier. <a
    href="https://doi.org/10.1016/S0747-7171(08)80068-5">https://doi.org/10.1016/S0747-7171(08)80068-5</a>
  chicago: Edelsbrunner, Herbert, Franco Preparata, and Douglas West. “Tetrahedrizing
    Point Sets in Three Dimensions.” <i>Journal of Symbolic Computation</i>. Elsevier,
    1990. <a href="https://doi.org/10.1016/S0747-7171(08)80068-5">https://doi.org/10.1016/S0747-7171(08)80068-5</a>.
  ieee: H. Edelsbrunner, F. Preparata, and D. West, “Tetrahedrizing point sets in
    three dimensions,” <i>Journal of Symbolic Computation</i>, vol. 10, no. 3–4. Elsevier,
    pp. 335–347, 1990.
  ista: Edelsbrunner H, Preparata F, West D. 1990. Tetrahedrizing point sets in three
    dimensions. Journal of Symbolic Computation. 10(3–4), 335–347.
  mla: Edelsbrunner, Herbert, et al. “Tetrahedrizing Point Sets in Three Dimensions.”
    <i>Journal of Symbolic Computation</i>, vol. 10, no. 3–4, Elsevier, 1990, pp.
    335–47, doi:<a href="https://doi.org/10.1016/S0747-7171(08)80068-5">10.1016/S0747-7171(08)80068-5</a>.
  short: H. Edelsbrunner, F. Preparata, D. West, Journal of Symbolic Computation 10
    (1990) 335–347.
date_created: 2018-12-11T12:06:42Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-23T10:10:35Z
day: '01'
doi: 10.1016/S0747-7171(08)80068-5
extern: '1'
intvolume: '        10'
issue: 3-4
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.sciencedirect.com/science/article/pii/S0747717108800685?via%3Dihub
month: '01'
oa: 1
oa_version: Published Version
page: 335 - 347
publication: Journal of Symbolic Computation
publication_identifier:
  eissn:
  - 1095-855X
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier
publist_id: '2061'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Tetrahedrizing point sets in three dimensions
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 10
year: '1990'
...
---
_id: '4063'
abstract:
- lang: eng
  text: This paper describes a general-purpose programming technique, called Simulation
    of Simplicity, that can be used to cope with degenerate input data for geometric
    algorithms. It relieves the programmer from the task of providing a consistent
    treatment for every single special case that can occur. The programs that use
    the technique tend to be considerably smaller and more robust than those that
    do not use it. We believe that this technique will become a standard tool in writing
    geometric software.
acknowledgement: 'Research of both authors was supported by Amoco Foundation Faculty
  Development grant CS 1-6-44862. It was partially carried out while both authors
  were with the Institutes for Information Processing at the Technical University
  of Graz, Austria. The first author also acknowledges support by the National Science
  Foundation under grant CCR-8714565. '
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Ernst
  full_name: Mücke, Ernst
  last_name: Mücke
citation:
  ama: 'Edelsbrunner H, Mücke E. Simulation of simplicity: A technique to cope with
    degenerate cases in geometric algorithms. <i>ACM Transactions on Graphics</i>.
    1990;9(1):66-104. doi:<a href="https://doi.org/10.1145/77635.77639">10.1145/77635.77639</a>'
  apa: 'Edelsbrunner, H., &#38; Mücke, E. (1990). Simulation of simplicity: A technique
    to cope with degenerate cases in geometric algorithms. <i>ACM Transactions on
    Graphics</i>. ACM. <a href="https://doi.org/10.1145/77635.77639">https://doi.org/10.1145/77635.77639</a>'
  chicago: 'Edelsbrunner, Herbert, and Ernst Mücke. “Simulation of Simplicity: A Technique
    to Cope with Degenerate Cases in Geometric Algorithms.” <i>ACM Transactions on
    Graphics</i>. ACM, 1990. <a href="https://doi.org/10.1145/77635.77639">https://doi.org/10.1145/77635.77639</a>.'
  ieee: 'H. Edelsbrunner and E. Mücke, “Simulation of simplicity: A technique to cope
    with degenerate cases in geometric algorithms,” <i>ACM Transactions on Graphics</i>,
    vol. 9, no. 1. ACM, pp. 66–104, 1990.'
  ista: 'Edelsbrunner H, Mücke E. 1990. Simulation of simplicity: A technique to cope
    with degenerate cases in geometric algorithms. ACM Transactions on Graphics. 9(1),
    66–104.'
  mla: 'Edelsbrunner, Herbert, and Ernst Mücke. “Simulation of Simplicity: A Technique
    to Cope with Degenerate Cases in Geometric Algorithms.” <i>ACM Transactions on
    Graphics</i>, vol. 9, no. 1, ACM, 1990, pp. 66–104, doi:<a href="https://doi.org/10.1145/77635.77639">10.1145/77635.77639</a>.'
  short: H. Edelsbrunner, E. Mücke, ACM Transactions on Graphics 9 (1990) 66–104.
date_created: 2018-12-11T12:06:43Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-22T14:58:39Z
day: '01'
doi: 10.1145/77635.77639
extern: '1'
intvolume: '         9'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://dl.acm.org/doi/10.1145/77635.77639
month: '01'
oa_version: None
page: 66 - 104
publication: ACM Transactions on Graphics
publication_identifier:
  eissn:
  - 1557-7368
  issn:
  - 0730-0301
publication_status: published
publisher: ACM
publist_id: '2058'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Simulation of simplicity: A technique to cope with degenerate cases in geometric
  algorithms'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 9
year: '1990'
...
---
_id: '4064'
abstract:
- lang: eng
  text: Given a set of data points pi = (xi, yi ) for 1 ≤ i ≤ n, the least median
    of squares regression line is a line y = ax + b for which the median of the squared
    residuals is a minimum over all choices of a and b. An algorithm is described
    that computes such a line in O(n 2) time and O(n) memory space, thus improving
    previous upper bounds on the problem. This algorithm is an application of a general
    method built on top of the topological sweep of line arrangements.
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Diane
  full_name: Souvaine, Diane
  last_name: Souvaine
citation:
  ama: Edelsbrunner H, Souvaine D. Computing least median of squares regression lines
    and guided topological sweep. <i>Journal of the American Statistical Association</i>.
    1990;85(409):115-119. doi:<a href="https://doi.org/10.1080/01621459.1990.10475313">10.1080/01621459.1990.10475313</a>
  apa: Edelsbrunner, H., &#38; Souvaine, D. (1990). Computing least median of squares
    regression lines and guided topological sweep. <i>Journal of the American Statistical
    Association</i>. American Statistical Association. <a href="https://doi.org/10.1080/01621459.1990.10475313">https://doi.org/10.1080/01621459.1990.10475313</a>
  chicago: Edelsbrunner, Herbert, and Diane Souvaine. “Computing Least Median of Squares
    Regression Lines and Guided Topological Sweep.” <i>Journal of the American Statistical
    Association</i>. American Statistical Association, 1990. <a href="https://doi.org/10.1080/01621459.1990.10475313">https://doi.org/10.1080/01621459.1990.10475313</a>.
  ieee: H. Edelsbrunner and D. Souvaine, “Computing least median of squares regression
    lines and guided topological sweep,” <i>Journal of the American Statistical Association</i>,
    vol. 85, no. 409. American Statistical Association, pp. 115–119, 1990.
  ista: Edelsbrunner H, Souvaine D. 1990. Computing least median of squares regression
    lines and guided topological sweep. Journal of the American Statistical Association.
    85(409), 115–119.
  mla: Edelsbrunner, Herbert, and Diane Souvaine. “Computing Least Median of Squares
    Regression Lines and Guided Topological Sweep.” <i>Journal of the American Statistical
    Association</i>, vol. 85, no. 409, American Statistical Association, 1990, pp.
    115–19, doi:<a href="https://doi.org/10.1080/01621459.1990.10475313">10.1080/01621459.1990.10475313</a>.
  short: H. Edelsbrunner, D. Souvaine, Journal of the American Statistical Association
    85 (1990) 115–119.
date_created: 2018-12-11T12:06:43Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-22T15:10:54Z
day: '01'
doi: 10.1080/01621459.1990.10475313
extern: '1'
intvolume: '        85'
issue: '409'
language:
- iso: eng
main_file_link:
- url: https://www.tandfonline.com/doi/abs/10.1080/01621459.1990.10475313
month: '01'
oa_version: None
page: 115 - 119
publication: Journal of the American Statistical Association
publication_identifier:
  eissn:
  - 1537-274X
  issn:
  - 0003-1291
publication_status: published
publisher: American Statistical Association
publist_id: '2059'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Computing least median of squares regression lines and guided topological sweep
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 85
year: '1990'
...
---
_id: '4065'
abstract:
- lang: eng
  text: We prove that given n⩾3 convex, compact, and pairwise disjoint sets in the
    plane, they may be covered with n non-overlapping convex polygons with a total
    of not more than 6n−9 sides, and with not more than 3n−6 distinct slopes. Furthermore,
    we construct sets that require 6n−9 sides and 3n−6 slopes for n⩾3. The upper bound
    on the number of slopes implies a new bound on a recently studied transversal
    problem.
acknowledgement: 'The first author acknowledges the support by Amoco Fnd. Fat. Dev.
  Comput. Sci. l-6-44862. Work on this paper by the second author was supported by
  a Shell Fellowship in Computer Science. The third author as supported by the office
  of Naval Research under grant NOOO14-86K-0416. '
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Arch
  full_name: Robison, Arch
  last_name: Robison
- first_name: Xiao
  full_name: Shen, Xiao
  last_name: Shen
citation:
  ama: Edelsbrunner H, Robison A, Shen X. Covering convex sets with non-overlapping
    polygons. <i>Discrete Mathematics</i>. 1990;81(2):153-164. doi:<a href="https://doi.org/10.1016/0012-365X(90)90147-A">10.1016/0012-365X(90)90147-A</a>
  apa: Edelsbrunner, H., Robison, A., &#38; Shen, X. (1990). Covering convex sets
    with non-overlapping polygons. <i>Discrete Mathematics</i>. Elsevier. <a href="https://doi.org/10.1016/0012-365X(90)90147-A">https://doi.org/10.1016/0012-365X(90)90147-A</a>
  chicago: Edelsbrunner, Herbert, Arch Robison, and Xiao Shen. “Covering Convex Sets
    with Non-Overlapping Polygons.” <i>Discrete Mathematics</i>. Elsevier, 1990. <a
    href="https://doi.org/10.1016/0012-365X(90)90147-A">https://doi.org/10.1016/0012-365X(90)90147-A</a>.
  ieee: H. Edelsbrunner, A. Robison, and X. Shen, “Covering convex sets with non-overlapping
    polygons,” <i>Discrete Mathematics</i>, vol. 81, no. 2. Elsevier, pp. 153–164,
    1990.
  ista: Edelsbrunner H, Robison A, Shen X. 1990. Covering convex sets with non-overlapping
    polygons. Discrete Mathematics. 81(2), 153–164.
  mla: Edelsbrunner, Herbert, et al. “Covering Convex Sets with Non-Overlapping Polygons.”
    <i>Discrete Mathematics</i>, vol. 81, no. 2, Elsevier, 1990, pp. 153–64, doi:<a
    href="https://doi.org/10.1016/0012-365X(90)90147-A">10.1016/0012-365X(90)90147-A</a>.
  short: H. Edelsbrunner, A. Robison, X. Shen, Discrete Mathematics 81 (1990) 153–164.
date_created: 2018-12-11T12:06:44Z
date_published: 1990-04-15T00:00:00Z
date_updated: 2022-02-22T15:45:55Z
day: '15'
doi: 10.1016/0012-365X(90)90147-A
extern: '1'
intvolume: '        81'
issue: '2'
language:
- iso: eng
main_file_link:
- url: https://www.sciencedirect.com/science/article/pii/0012365X9090147A?via%3Dihub
month: '04'
oa_version: None
page: 153 - 164
publication: Discrete Mathematics
publication_identifier:
  eissn:
  - 1872-681X
  issn:
  - 0012-365X
publication_status: published
publisher: Elsevier
publist_id: '2060'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Covering convex sets with non-overlapping polygons
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 81
year: '1990'
...
---
_id: '4066'
abstract:
- lang: eng
  text: 'We consider several problems involving points and planes in three dimensions.
    Our main results are: (i) The maximum number of faces boundingm distinct cells
    in an arrangement ofn planes isO(m 2/3 n logn +n 2); we can calculatem such cells
    specified by a point in each, in worst-case timeO(m 2/3 n log3 n+n 2 logn). (ii)
    The maximum number of incidences betweenn planes andm vertices of their arrangement
    isO(m 2/3 n logn+n 2), but this number is onlyO(m 3/5– n 4/5+2 +m+n logm), for
    any&gt;0, for any collection of points no three of which are collinear. (iii)
    For an arbitrary collection ofm points, we can calculate the number of incidences
    between them andn planes by a randomized algorithm whose expected time complexity
    isO((m 3/4– n 3/4+3 +m) log2 n+n logn logm) for any&gt;0. (iv) Givenm points andn
    planes, we can find the plane lying immediately below each point in randomized
    expected timeO([m 3/4– n 3/4+3 +m] log2 n+n logn logm) for any&gt;0. (v) The maximum
    number of facets (i.e., (d–1)-dimensional faces) boundingm distinct cells in an
    arrangement ofn hyperplanes ind dimensions,d&gt;3, isO(m 2/3 n d/3 logn+n d–1).
    This is also an upper bound for the number of incidences betweenn hyperplanes
    ind dimensions andm vertices of their arrangement. The combinatorial bounds in
    (i) and (v) and the general bound in (ii) are almost tight.'
acknowledgement: "Supported by Amoco Fnd. Fac. Dev. Comput. Sci. 1-6-44862 and by
  NSF Grant CCR-8714565. Work on this paper by the first author has been supported
  by Amoco Fnd. Fac. Dev. Comput. Sci. I-6-44862 and by NSF Grant CCR-87t4565. Work
  by the third author has been supported by Office of Naval Research Grant N00014-87-K-0129,
  by National Science Foundation Grant DCR-82-20085, by grants from the Digital Equipment
  Corporation, and the IBM Corporation, and by a research grant from the NCRD--the
  Israeli National Council for Research and Development. An abstract of this\r\npaper
  has appeared in the Proceedings of the 13th International Mathematical Programming
  Symposium, Tokyo, 1988, p. 147"
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Leonidas
  full_name: Guibas, Leonidas
  last_name: Guibas
- first_name: Micha
  full_name: Sharir, Micha
  last_name: Sharir
citation:
  ama: Edelsbrunner H, Guibas L, Sharir M. The complexity of many cells in arrangements
    of planes and related problems. <i>Discrete &#38; Computational Geometry</i>.
    1990;5(1):197-216. doi:<a href="https://doi.org/10.1007/BF02187785">10.1007/BF02187785</a>
  apa: Edelsbrunner, H., Guibas, L., &#38; Sharir, M. (1990). The complexity of many
    cells in arrangements of planes and related problems. <i>Discrete &#38; Computational
    Geometry</i>. Springer. <a href="https://doi.org/10.1007/BF02187785">https://doi.org/10.1007/BF02187785</a>
  chicago: Edelsbrunner, Herbert, Leonidas Guibas, and Micha Sharir. “The Complexity
    of Many Cells in Arrangements of Planes and Related Problems.” <i>Discrete &#38;
    Computational Geometry</i>. Springer, 1990. <a href="https://doi.org/10.1007/BF02187785">https://doi.org/10.1007/BF02187785</a>.
  ieee: H. Edelsbrunner, L. Guibas, and M. Sharir, “The complexity of many cells in
    arrangements of planes and related problems,” <i>Discrete &#38; Computational
    Geometry</i>, vol. 5, no. 1. Springer, pp. 197–216, 1990.
  ista: Edelsbrunner H, Guibas L, Sharir M. 1990. The complexity of many cells in
    arrangements of planes and related problems. Discrete &#38; Computational Geometry.
    5(1), 197–216.
  mla: Edelsbrunner, Herbert, et al. “The Complexity of Many Cells in Arrangements
    of Planes and Related Problems.” <i>Discrete &#38; Computational Geometry</i>,
    vol. 5, no. 1, Springer, 1990, pp. 197–216, doi:<a href="https://doi.org/10.1007/BF02187785">10.1007/BF02187785</a>.
  short: H. Edelsbrunner, L. Guibas, M. Sharir, Discrete &#38; Computational Geometry
    5 (1990) 197–216.
date_created: 2018-12-11T12:06:44Z
date_published: 1990-03-01T00:00:00Z
date_updated: 2022-02-22T11:02:41Z
day: '01'
doi: 10.1007/BF02187785
extern: '1'
intvolume: '         5'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/BF02187785
month: '03'
oa_version: None
page: 197 - 216
publication: Discrete & Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer
publist_id: '2054'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The complexity of many cells in arrangements of planes and related problems
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 5
year: '1990'
...
---
_id: '4067'
abstract:
- lang: eng
  text: This paper proves an O(m 2/3 n 2/3+m+n) upper bound on the number of incidences
    between m points and n hyperplanes in four dimensions, assuming all points lie
    on one side of each hyperplane and the points and hyperplanes satisfy certain
    natural general position conditions. This result has application to various three-dimensional
    combinatorial distance problems. For example, it implies the same upper bound
    for the number of bichromatic minimum distance pairs in a set of m blue and n
    red points in three-dimensional space. This improves the best previous bound for
    this problem.
acknowledgement: Research of the first author was supported by the National Science
  Foundation under grant CCR-8714565. Work of the second author was supported by Office
  of Naval Research Grants DCR-83-20085 and CCR-89-01484, and by grants from the U.S.-Israeli
  Binational Science Foundation, the NCRD — the Israeli National Council for Research
  and Development, and the Fund for Basic Research in Electronics, Computers and Communication
  administered by the Israeli Academy of Sciences.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Micha
  full_name: Sharir, Micha
  last_name: Sharir
citation:
  ama: 'Edelsbrunner H, Sharir M. A hyperplane Incidence problem with applications
    to counting distances. In: <i>Proceedings of the International Symposium on Algorithms</i>.
    Vol 450. Springer; 1990:419-428. doi:<a href="https://doi.org/10.1007/3-540-52921-7_91">10.1007/3-540-52921-7_91</a>'
  apa: 'Edelsbrunner, H., &#38; Sharir, M. (1990). A hyperplane Incidence problem
    with applications to counting distances. In <i>Proceedings of the International
    Symposium on Algorithms</i> (Vol. 450, pp. 419–428). Tokyo, Japan: Springer. <a
    href="https://doi.org/10.1007/3-540-52921-7_91">https://doi.org/10.1007/3-540-52921-7_91</a>'
  chicago: Edelsbrunner, Herbert, and Micha Sharir. “A Hyperplane Incidence Problem
    with Applications to Counting Distances.” In <i>Proceedings of the International
    Symposium on Algorithms</i>, 450:419–28. Springer, 1990. <a href="https://doi.org/10.1007/3-540-52921-7_91">https://doi.org/10.1007/3-540-52921-7_91</a>.
  ieee: H. Edelsbrunner and M. Sharir, “A hyperplane Incidence problem with applications
    to counting distances,” in <i>Proceedings of the International Symposium on Algorithms</i>,
    Tokyo, Japan, 1990, vol. 450, pp. 419–428.
  ista: Edelsbrunner H, Sharir M. 1990. A hyperplane Incidence problem with applications
    to counting distances. Proceedings of the International Symposium on Algorithms.
    SIGAL:  Special Interest Group on Algorithms, International Symposium on Algorithms 
    , LNCS, vol. 450, 419–428.
  mla: Edelsbrunner, Herbert, and Micha Sharir. “A Hyperplane Incidence Problem with
    Applications to Counting Distances.” <i>Proceedings of the International Symposium
    on Algorithms</i>, vol. 450, Springer, 1990, pp. 419–28, doi:<a href="https://doi.org/10.1007/3-540-52921-7_91">10.1007/3-540-52921-7_91</a>.
  short: H. Edelsbrunner, M. Sharir, in:, Proceedings of the International Symposium
    on Algorithms, Springer, 1990, pp. 419–428.
conference:
  end_date: 1990-08-18
  location: Tokyo, Japan
  name: 'SIGAL:  Special Interest Group on Algorithms, International Symposium on
    Algorithms  '
  start_date: 1990-08-16
date_created: 2018-12-11T12:06:45Z
date_published: 1990-01-01T00:00:00Z
date_updated: 2022-02-22T14:31:26Z
day: '01'
doi: 10.1007/3-540-52921-7_91
extern: '1'
intvolume: '       450'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/3-540-52921-7_91
month: '01'
oa_version: None
page: 419 - 428
publication: Proceedings of the International Symposium on Algorithms
publication_identifier:
  isbn:
  - 978-3-540-52921-7
publication_status: published
publisher: Springer
publist_id: '2056'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A hyperplane Incidence problem with applications to counting distances
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 450
year: '1990'
...
