@inbook{3566,
author = {Herbert Edelsbrunner and Sharir, Micha},
booktitle = {Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift},
pages = {253 -- 263},
publisher = {American Mathematical Society},
title = {{A hyperplane incidence problem with applications to counting distances}},
volume = {4},
year = {1991},
}
@inbook{3567,
author = {Herbert Edelsbrunner},
booktitle = {Discrete & Computational Geometry},
pages = {77 -- 93},
publisher = {Springer},
title = {{Lines in space – A collection of results}},
volume = {6},
year = {1991},
}
@article{3646,
abstract = {We compare the pattern of morphological and electrophoretic variation in the hybrid zone between Bombina bombina and B. variegata across two transects: one near Cracow and one 200 km away, near Przemysl in southeastern Poland. Morphological variation across the Przemysl transect had been surveyed more than 50 years ago; though we found a significant shift at one site, there is no evidence for gross movement over this period. Morphological and electrophoretic changes coincide, and the average shape of the clines is the same across both transects. At the center, most of the change in frequency of six diagnostic allozymes occurs within w = 6.05 km (2-unit support limits 5.56-6.54 km). These steep gradients are generated not by selection on the allozymes themselves, but by associations with other loci: though these markers are unlinked, they are in strong linkage disequilibrium with each other [R = D/ = 0.22 (0.15-0.29) at the center]. Disequilibria are broken up as alleles diffuse away from the zone and flow into the new genetic background. The net barrier to the flow of genes from bombina into variegata, which is generated by these disequilibria, is B = 51 (22-81) km. The fitness of hybrids must be substantially reduced to produce such a barrier [W̄H/W̄P = 0.58 (0.54-0.68)], and this selection must be spread over many loci [N = 55 (26-88)]. Alleles introgress significantly less far than would be expected from the age of the zone and the estimated dispersal rate [σ = 0.99 (0.82-1.14) km gen.-1/2]: this implies selection of se = 0.37 (0.15-0.58)% on the enzymes themselves. There is weak but significant linkage disequilibrium well away from the center of the zone; this, together with the presence of parental and F1 genotypes, suggests some long-range migration. However, such migration is not likely to cause significant introgression.
},
author = {Szymura, Jacek M and Nicholas Barton},
journal = {Evolution},
number = {2},
pages = {237 -- 261},
publisher = {Wiley-Blackwell},
title = {{The genetic structure of the hybrid zone between the fire-bellied toads Bombina bombina and B. variegata: comparisons between transects and between loci}},
volume = {45},
year = {1991},
}
@article{3647,
abstract = {A method is developed that describes the effects on an arbitrary number of autosomal loci of selection on haploid and diploid stages, of nonrandom mating between haploid individuals, and of recombination. We provide exact recursions for the dynamics of allele frequencies and linkage disequilibria (nonrandom associations of alleles across loci). When selection is weak relative to recombination, our recursions provide simple approximations for the linkage disequilibria among arbitrary combinations of loci. We show how previous models of sex-independent natural selection on diploids, assortative mating between haploids, and sexual selection on haploids can be analyzed in this framework. Using our weak-selection approximations, we derive new results concerning the coevolution of male traits and female preferences under natural and sexual selection. In particular, we provide general expressions for the intensity of linkage-disequilibrium induced selection experienced by loci that contribute to female preferences for specific male traits. Our general results support the previous observation that these indirect selection forces are so weak that they are unlikely to dominate the evolution of preference-producing loci.},
author = {Nicholas Barton and Turelli, Michael},
journal = {Genetics},
number = {1},
pages = {229 -- 255},
publisher = {Genetics Society of America},
title = {{Natural and sexual selection on many loci}},
volume = {127},
year = {1991},
}
@article{3648,
abstract = {We investigate the probability of fixation of a chromosome rearrangement in a subdivided population, concentrating on the limit where migration is so large relative to selection (m ≫ s) that the population can be thought of as being continuously distributed. We study two demes, and one- and two-dimensional populations. For two demes, the probability of fixation in the limit of high migration approximates that of a population with twice the size of a single deme: migration therefore greatly reduces the fixation probability. However, this behavior does not extend to a large array of demes. Then, the fixation probability depends primarily on neighborhood size (Nb), and may be appreciable even with strong selection and free gene flow (≈exp(-B·Nb) in one dimension, ≈exp(-B\cdotNb) in two dimensions). Our results are close to those for the more tractable case of a polygenic character under disruptive selection.},
author = {Nicholas Barton and Rouhani, Shahin},
journal = {Evolution},
number = {3},
pages = {499 -- 517},
publisher = {Wiley-Blackwell},
title = {{The probability of fixation of a new karyotype in a continuous population}},
volume = {45},
year = {1991},
}
@article{2480,
abstract = {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 > substance K > 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.},
author = {Ryuichi Shigemoto and Yokota, Yoshifumi and Tsuchida, Kunihiro and Nakanishi, Shigetada},
journal = {Journal of Biological Chemistry},
number = {2},
pages = {623 -- 628},
publisher = {American Society for Biochemistry and Molecular Biology},
title = {{Cloning and expression of a rat neuromedin K receptor cDNA}},
volume = {265},
year = {1990},
}
@article{2481,
abstract = {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.},
author = {Tsuchida, Kunihiro and Ryuichi Shigemoto and Yokota, Yoshifumi and Nakanishi, Shigetada},
journal = {European Journal of Biochemistry},
number = {3},
pages = {751 -- 757},
publisher = {Wiley-Blackwell},
title = {{Tissue distribution and quantitation of the mRNAs for three rat tachykinin receptors}},
doi = {10.1111/j.1432-1033.1990.tb19396.x},
volume = {193},
year = {1990},
}
@article{2528,
abstract = {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.},
author = {Sugimoto, Tetsuo and Tanabe, Yasuto and Ryuichi Shigemoto and Iwai, Masazumi and Takumi, Toru and Ohkubo, Hiroaki and Nakanishi, Shigetada},
journal = {Journal of Membrane Biology},
number = {1},
pages = {39 -- 47},
publisher = {Springer},
title = {{Immunohistochemical study of a rat membrane protein which induces a selective potassium permeation: Its localization in the apical membrane portion of epithelial cells}},
doi = {10.1007/BF01869604},
volume = {113},
year = {1990},
}
@article{2721,
abstract = {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.},
author = {László Erdös and Tuyen, Dao Quang},
journal = {Journal of Statistical Physics},
number = {5-6},
pages = {1589 -- 1602},
publisher = {Springer},
title = {{Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier}},
doi = {10.1007/BF01334766},
volume = {59},
year = {1990},
}
@article{4060,
abstract = {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.},
author = {Herbert Edelsbrunner and Preparata, Franco P and West, Douglas B},
journal = {Journal of Symbolic Computation},
number = {3-4},
pages = {335 -- 347},
publisher = {Elsevier},
title = {{Tetrahedrizing point sets in three dimensions}},
doi = {10.1016/S0747-7171(08)80068-5},
volume = {10},
year = {1990},
}
@article{4063,
abstract = {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.},
author = {Herbert Edelsbrunner and Mücke, Ernst P},
journal = {ACM Transactions on Graphics},
number = {1},
pages = {66 -- 104},
publisher = {ACM},
title = {{Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms}},
doi = {10.1145/77635.77639},
volume = {9},
year = {1990},
}
@article{4064,
abstract = {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.},
author = {Herbert Edelsbrunner and Souvaine, Diane L},
journal = {Journal of the American Statistical Association},
number = {409},
pages = {115 -- 119},
publisher = {American Statistical Association},
title = {{Computing least median of squares regression lines and guided topological sweep}},
doi = {10.1080/01621459.1990.10475313},
volume = {85},
year = {1990},
}
@article{4065,
abstract = {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.},
author = {Herbert Edelsbrunner and Robison, Arch D and Shen, Xiao-Jun},
journal = {Discrete Mathematics},
number = {2},
pages = {153 -- 164},
publisher = {Elsevier},
title = {{Covering convex sets with non-overlapping polygons}},
doi = {10.1016/0012-365X(90)90147-A},
volume = {81},
year = {1990},
}
@article{4066,
abstract = {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>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>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>0. (v) The maximum number of facets (i.e., (d–1)-dimensional faces) boundingm distinct cells in an arrangement ofn hyperplanes ind dimensions,d>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.},
author = {Herbert Edelsbrunner and Guibas, Leonidas and Sharir, Micha},
journal = {Discrete & Computational Geometry},
number = {1},
pages = {197 -- 216},
publisher = {Springer},
title = {{The complexity of many cells in arrangements of planes and related problems}},
doi = {10.1007/BF02187785},
volume = {5},
year = {1990},
}
@inproceedings{4067,
abstract = {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.},
author = {Herbert Edelsbrunner and Sharir, Micha},
pages = {419 -- 428},
publisher = {Springer},
title = {{A hyperplane Incidence problem with applications to counting distances}},
doi = {10.1007/3-540-52921-7_91},
volume = {450},
year = {1990},
}
@article{4068,
abstract = {LetS be a collection ofn convex, closed, and pairwise nonintersecting sets in the Euclidean plane labeled from 1 ton. A pair of permutations
(i1i2in−1in)(inin−1i2i1)
is called ageometric permutation of S if there is a line that intersects all sets ofS in this order. We prove thatS can realize at most 2n–2 geometric permutations. This upper bound is tight.},
author = {Herbert Edelsbrunner and Sharir, Micha},
journal = {Discrete & Computational Geometry},
number = {1},
pages = {35 -- 42},
publisher = {Springer},
title = {{The maximum number of ways to stabn convex nonintersecting sets in the plane is 2n−2}},
doi = { 10.1007/BF02187778},
volume = {5},
year = {1990},
}
@article{4069,
abstract = {Let C be a cell complex in d-dimensional Euclidean space whose faces are obtained by orthogonal projection of the faces of a convex polytope in d + 1 dimensions. For example, the Delaunay triangulation of a finite point set is such a cell complex. This paper shows that the in front/behind relation defined for the faces of C with respect to any fixed viewpoint x is acyclic. This result has applications to hidden line/surface removal and other problems in computational geometry.},
author = {Herbert Edelsbrunner},
journal = {Combinatorica},
number = {3},
pages = {251 -- 260},
publisher = {Springer},
title = {{An acyclicity theorem for cell complexes in d dimension}},
doi = {10.1007/BF02122779},
volume = {10},
year = {1990},
}
@article{4070,
abstract = {Let S be a set of n closed intervals on the x-axis. A ranking assigns to each interval, s, a distinct rank, p(s) [1, 2,…,n]. We say that s can see t if p(s)<p(t) and there is a point ps∩t so that pu for all u with p(s)<p(u)<p(t). It is shown that a ranking can be found in time O(n log n) such that each interval sees at most three other intervals. It is also shown that a ranking that minimizes the average number of endpoints visible from an interval can be computed in time O(n 5/2). The results have applications to intersection problems for intervals, as well as to channel routing problems which arise in layouts of VLSI circuits.},
author = {Herbert Edelsbrunner and Overmars, Mark H and Welzl, Emo and Hartman, Irith Ben-Arroyo and Feldman,Jack A},
journal = {International Journal of Computer Mathematics},
number = {3-4},
pages = {129 -- 144},
publisher = {Taylor & Francis},
title = {{Ranking intervals under visibility constraints}},
doi = {10.1080/00207169008803871},
volume = {34},
year = {1990},
}
@inproceedings{4071,
abstract = {We show that a triangulation of a set of n points in the plane that minimizes the maximum angle can be computed in time O(n2 log n) and space O(n). In the same amount of time and space we can also handle the constrained case where edges are prescribed. The algorithm iteratively improves an arbitrary initial triangulation and is fairly easy to implement.},
author = {Herbert Edelsbrunner and Tan, Tiow Seng and Waupotitsch, Roman},
pages = {44 -- 52},
publisher = {ACM},
title = {{An O(n^2log n) time algorithm for the MinMax angle triangulation}},
doi = {10.1145/98524.98535},
year = {1990},
}
@article{4072,
abstract = {We show that the total number of edges ofm faces of an arrangement ofn lines in the plane isO(m 2/3– n 2/3+2 +n) for any>0. The proof takes an algorithmic approach, that is, we describe an algorithm for the calculation of thesem faces and derive the upper bound from the analysis of the algorithm. The algorithm uses randomization and its expected time complexity isO(m 2/3– n 2/3+2 logn+n logn logm). If instead of lines we have an arrangement ofn line segments, then the maximum number of edges ofm faces isO(m 2/3– n 2/3+2 +n (n) logm) for any>0, where(n) is the functional inverse of Ackermann's function. We give a (randomized) algorithm that produces these faces and takes expected timeO(m 2/3– n 2/3+2 log+n(n) log2 n logm).},
author = {Herbert Edelsbrunner and Guibas, Leonidas J and Sharir, Micha},
journal = {Discrete & Computational Geometry},
number = {1},
pages = {161 -- 196},
publisher = {Springer},
title = {{The complexity and construction of many faces in arrangements of lines and of segments}},
doi = { 10.1007/BF02187784},
volume = {5},
year = {1990},
}