Unexpected connections between Burnside groups and knot theory.

Abstract:

:In classical knot theory and the theory of quantum invariants substantial effort was directed toward the search for unknotting moves on links. We solve, in this article, several classical problems concerning unknotting moves. Our approach uses a concept, Burnside groups of links, that establishes an unexpected relationship between knot theory and group theory. Our method has the potential to be used in computational biology in the analysis of DNA via tangle embedding theory, as developed by D. W. Sumners [Sumners, D. W., ed. (1992) New Scientific Applications of Geometry and Topology (Am Math. Soc., Washington, DC) and Ernst, C. & Sumners, D. W. (1999) Math. Proc. Cambridge Philos. Soc. 126, 23-36].

authors

Dabkowski MK,Przytycki JH

doi

10.1073/pnas.0406098101

keywords:

subject

Has Abstract

pub_date

2004-12-14 00:00:00

pages

17357-60

issue

50

eissn

0027-8424

issn

1091-6490

pii

0406098101

journal_volume

101

pub_type

杂志文章
  • Regulation of heat production in the inflorescences of an Arum lily by endogenous salicylic acid.

    abstract::We have recently purified calorigen, the natural trigger for heat production in the inflorescences of Sauromatum guttatum Schott (voodoo lily), a thermogenic plant, and identified it as salicylic acid. Since then an analytical assay was developed that allows the quantitation of salicylic acid in plant tissues. This as...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.86.7.2214

    authors: Raskin I,Turner IM,Melander WR

    更新日期:1989-04-01 00:00:00

  • theta, a novel gamma-aminobutyric acid type A receptor subunit.

    abstract::gamma-Aminobutyric acid type A (GABA-A) receptors are a major mediator of inhibitory neurotransmission in the mammalian central nervous system, and the site of action of a number of clinically important drugs. These receptors exist as a family of subtypes with distinct temporal and spatial patterns of expression and d...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.96.17.9891

    authors: Bonnert TP,McKernan RM,Farrar S,le Bourdellès B,Heavens RP,Smith DW,Hewson L,Rigby MR,Sirinathsinghji DJ,Brown N,Wafford KA,Whiting PJ

    更新日期:1999-08-17 00:00:00

  • A general approach for chemical labeling and rapid, spatially controlled protein inactivation.

    abstract::Chemical labeling of proteins inside of living cells can enable studies of the location, movement, and function of proteins in vivo. Here we demonstrate an approach for chemical labeling of proteins that uses the high-affinity interaction between an FKBP12 mutant (F36V) and a synthetic, engineered ligand (SLF'). A flu...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.0401609101

    authors: Marks KM,Braun PD,Nolan GP

    更新日期:2004-07-06 00:00:00

  • Homology and functional similarity of an hrp-linked pathogenicity locus, dspEF, of Erwinia amylovora and the avirulence locus avrE of Pseudomonas syringae pathovar tomato.

    abstract::The "disease-specific" (dsp) region next to the hrp gene cluster of Erwinia amylovora is required for pathogenicity but not for elicitation of the hypersensitive reaction. A 6.6-kb apparent operon, dspEF, was found responsible for this phenotype. The operon contains genes dspE and dspF and is positively regulated by h...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.95.3.1325

    authors: Bogdanove AJ,Kim JF,Wei Z,Kolchinsky P,Charkowski AO,Conlin AK,Collmer A,Beer SV

    更新日期:1998-02-03 00:00:00

  • Redox trapping of arsenic during groundwater discharge in sediments from the Meghna riverbank in Bangladesh.

    abstract::Groundwater arsenic (As) is elevated in the shallow Holocene aquifers of Bangladesh. In the dry season, the shallow groundwater discharges to major rivers. This process may influence the chemistry of the river and the hyporheic zone sediment. To assess the fate of As during discharge, surface (0-5 cm) and subsurface (...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.0908168106

    authors: Datta S,Mailloux B,Jung HB,Hoque MA,Stute M,Ahmed KM,Zheng Y

    更新日期:2009-10-06 00:00:00

  • Glucocorticoids enhance muscle endurance and ameliorate Duchenne muscular dystrophy through a defined metabolic program.

    abstract::Classic physiology studies dating to the 1930s demonstrate that moderate or transient glucocorticoid (GC) exposure improves muscle performance. The ergogenic properties of GCs are further evidenced by their surreptitious use as doping agents by endurance athletes and poorly understood efficacy in Duchenne muscular dys...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.1512968112

    authors: Morrison-Nozik A,Anand P,Zhu H,Duan Q,Sabeh M,Prosdocimo DA,Lemieux ME,Nordsborg N,Russell AP,MacRae CA,Gerber AN,Jain MK,Haldar SM

    更新日期:2015-12-08 00:00:00

  • Strong triaxial coupling and anomalous Poisson effect in collagen networks.

    abstract::While cells within tissues generate and sense 3D states of strain, the current understanding of the mechanics of fibrous extracellular matrices (ECMs) stems mainly from uniaxial, biaxial, and shear tests. Here, we demonstrate that the multiaxial deformations of fiber networks in 3D cannot be inferred solely based on t...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.1815659116

    authors: Ban E,Wang H,Franklin JM,Liphardt JT,Janmey PA,Shenoy VB

    更新日期:2019-04-02 00:00:00

  • Termination of transcription by bacteriophage T3 RNA polymerase: homogeneous 3'-terminal oligonucleotide sequence of in vitro T3 RNA polymerase transcripts.

    abstract::RNA was synthesized in vitro from a T3 DNA template by T3 RNA polymerase and subsequently separated into seven discrete size classes (molecular weights ranging between 0.21 x 10(6) and 6.2 x 10(6)) by electrophoresis in polyacrylamide slab gels. RNase T1-generated 3'-terminal oligonucleotide fragments were then select...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.76.10.5110

    authors: Majumder HK,Maitra U,Rosenberg M

    更新日期:1979-10-01 00:00:00

  • Cloned endogenous retroviral sequences from human DNA.

    abstract::We have screened a human DNA library using as probe a chimpanzee sequence that contains homology to the polymerase gene of the endogenous baboon virus. One set of overlapping clones spans about 20 kilobases and contains regions of DNA sequence homology to the gag p30, gag p15, and polymerase genes of Moloney murine le...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.79.15.4709

    authors: Bonner TI,O'Connell C,Cohen M

    更新日期:1982-08-01 00:00:00

  • Bursting of sensitive polymersomes induced by curling.

    abstract::Polymersomes, which are stable and robust vesicles made of block copolymer amphiphiles, are good candidates for drug carriers or micro/nanoreactors. Polymer chemistry enables almost unlimited molecular design of responsive polymersomes whose degradation upon environmental changes has been used for the slow release of ...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.0813157106

    authors: Mabrouk E,Cuvelier D,Brochard-Wyart F,Nassoy P,Li MH

    更新日期:2009-05-05 00:00:00

  • Purification of mouse interferon by affinity chromatography on a solid-phase immunoadsorbent.

    abstract::A solid-phase immunoadsorbent capable of binding mouse interferon has been prepared. Starting from crude tissue-culture material, interferon could be purified 1990 times in a single step of affinity chromatography. Overall recovery ranged from 55 to 103% with tissue culture and mouse-brain interferon; however, only 5%...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.70.4.1037

    authors: Sipe JD,de Maeyer-Guignard J,Fauconnier B,de Maeyer E

    更新日期:1973-04-01 00:00:00

  • Activation of p53 in cervical carcinoma cells by small molecules.

    abstract::In over 90% of cervical cancers and cancer-derived cell lines, the p53 tumor suppressor pathway is disrupted by human papillomavirus (HPV). The HPV E6 protein promotes the degradation of p53 and thus inhibits the stabilization and activation of p53 that would normally occur in response to HPV E7 oncogene expression. R...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.97.15.8501

    authors: Hietanen S,Lain S,Krausz E,Blattner C,Lane DP

    更新日期:2000-07-18 00:00:00

  • c-ets-2 protooncogene has mitogenic and oncogenic activity.

    abstract::An expression vector containing the murine c-ets-2 protooncogene cDNA was introduced into NIH 3T3 cells by DNA transfection. The cells transfected with this construct showed foci of densely growing, morphologically altered cells, when grown either in low-serum (0.05%) or in serum-free medium. The c-ets-2-derived foci ...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.86.20.7833

    authors: Seth A,Watson DK,Blair DG,Papas TS

    更新日期:1989-10-01 00:00:00

  • Local policy proposals can bridge Latino and (most) white Americans' response to immigration.

    abstract::In the past 15 years, the adoption of subnational immigration policies in the United States, such as those established by individual states, has gone from nearly zero to over 300 per year. These include welcoming policies aimed at attracting and incorporating immigrants, as well as unwelcoming policies directed at den...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.1711293115

    authors: Huo YJ,Dovidio JF,Jiménez TR,Schildkraut DJ

    更新日期:2018-01-30 00:00:00

  • Immunization by a bacterial aerosol.

    abstract::By manufacturing a single-particle system in two particulate forms (i.e., micrometer size and nanometer size), we have designed a bacterial vaccine form that exhibits improved efficacy of immunization. Microstructural properties are adapted to alter dispersive and aerosol properties independently. Dried "nanomicropart...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.0800043105

    authors: Garcia-Contreras L,Wong YL,Muttil P,Padilla D,Sadoff J,Derousse J,Germishuizen WA,Goonesekera S,Elbert K,Bloom BR,Miller R,Fourie PB,Hickey A,Edwards D

    更新日期:2008-03-25 00:00:00

  • Erbin is a negative modulator of cardiac hypertrophy.

    abstract::ErbB2 interacting protein (Erbin) is a widely expressed protein and participates in inhibition of several intracellular signaling pathways. Its mRNA has been found to be present in relatively high levels in the heart. However, its physiological role in the heart has not been explored. In the present work, we elucidate...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.1320350111

    authors: Rachmin I,Tshori S,Smith Y,Oppenheim A,Marchetto S,Kay G,Foo RS,Dagan N,Golomb E,Gilon D,Borg JP,Razin E

    更新日期:2014-04-22 00:00:00

  • Identification of tumor-initiating cells in a highly aggressive brain tumor using promoter activity of nucleostemin.

    abstract::Controversy remains over whether the cancer stem cell (CSC) theory applies to all tumors. To determine whether cells within a highly aggressive solid tumor are stochastically or hierarchically organized, we combined a reporter system where the nucleostemin (NS) promoter drives GFP expression (termed NS-GFP) with a mou...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.0905016106

    authors: Tamase A,Muraguchi T,Naka K,Tanaka S,Kinoshita M,Hoshii T,Ohmura M,Shugo H,Ooshio T,Nakada M,Sawamoto K,Onodera M,Matsumoto K,Oshima M,Asano M,Saya H,Okano H,Suda T,Hamada J,Hirao A

    更新日期:2009-10-06 00:00:00

  • Multiplicative mixing of object identity and image attributes in single inferior temporal neurons.

    abstract::Object recognition is challenging because the same object can produce vastly different images, mixing signals related to its identity with signals due to its image attributes, such as size, position, rotation, etc. Previous studies have shown that both signals are present in high-level visual areas, but precisely how ...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.1714287115

    authors: Ratan Murty NA,Arun SP

    更新日期:2018-04-03 00:00:00

  • Precise detection of de novo single nucleotide variants in human genomes.

    abstract::The precise determination of de novo genetic variants has enormous implications across different fields of biology and medicine, particularly personalized medicine. Currently, de novo variations are identified by mapping sample reads from a parent-offspring trio to a reference genome, allowing for a certain degree of ...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.1802244115

    authors: Gómez-Romero L,Palacios-Flores K,Reyes J,García D,Boege M,Dávila G,Flores M,Schatz MC,Palacios R

    更新日期:2018-05-22 00:00:00

  • Myoglobin-mediated oxygen delivery to mitochondria of isolated cardiac myocytes.

    abstract::Myoglobin-mediated oxygen delivery to intracellular mitochondria is demonstrated in cardiac myocytes isolated from the hearts of mature rats. Myocytes are held at high ambient oxygen pressure, 40-340 torr (5-45 kPa); sarcoplasmic myoglobin is fully oxygenated. In this condition oxygen availability does not limit respi...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.84.21.7503

    authors: Wittenberg BA,Wittenberg JB

    更新日期:1987-11-01 00:00:00

  • Tight clustering and hemizygosity of apomixis-linked molecular markers in Pennisetum squamulatum implies genetic control of apospory by a divergent locus that may have no allelic form in sexual genotypes.

    abstract::Apomixis is a naturally occurring mode of reproduction that results in embryo formation without the involvement of meiosis or fertilization of the egg. Seed-derived progeny of an apomictic plant are genetically identical to the maternal parent. We are studying a form of apomixis called apospory that occurs in the genu...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.95.9.5127

    authors: Ozias-Akins P,Roche D,Hanna WW

    更新日期:1998-04-28 00:00:00

  • Sterol-regulated transport of SREBPs from endoplasmic reticulum to Golgi: oxysterols block transport by binding to Insig.

    abstract::Cholesterol synthesis in animals is controlled by the regulated transport of sterol regulatory element-binding proteins (SREBPs) from the endoplasmic reticulum to the Golgi, where the transcription factors are processed proteolytically to release active fragments. Transport is inhibited by either cholesterol or oxyste...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.0700899104

    authors: Radhakrishnan A,Ikeda Y,Kwon HJ,Brown MS,Goldstein JL

    更新日期:2007-04-17 00:00:00

  • Blockade of beta 1- but not of beta 2-adrenergic receptors replicates propranolol's suppression of the cerebral spread of an engram in mice.

    abstract::Bitemporal injections of puromycin that primarily affect the hippocampal-entorhinal area induce amnesia of aversive maze-learning in mice for 3 days after training but are ineffective 6 or more days after training. At these later times, additional puromycin sites covering widespread forebrain areas are necessary to in...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.82.21.7458

    authors: Flexner JB,Flexner LB,Church AC,Rainbow TC,Brunswick DJ

    更新日期:1985-11-01 00:00:00

  • Tumors induce complex DNA damage in distant proliferative tissues in vivo.

    abstract::That tumors cause changes in surrounding tissues is well documented, but whether they also affect distant tissues is uncertain. Such knowledge may be important in understanding the relationship between cancer and overall patient health. To address this question, we examined tissues distant to sites of implanted tumors...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.1008260107

    authors: Redon CE,Dickey JS,Nakamura AJ,Kareva IG,Naf D,Nowsheen S,Kryston TB,Bonner WM,Georgakilas AG,Sedelnikova OA

    更新日期:2010-10-19 00:00:00

  • Antiviral effect on MS-2 coliphage obtained with a synthetic antigen.

    abstract::The coat protein of bacteriophage MS-2 was cleaved with cyanogen bromide to yield three fragments, possessing the sequence 1-88 (P1), 89-108 (P2), and 109-129 (P3), respectively. The mixture of peptides P2 and P3, which could not be separated, was found capable of inhibiting the neutralization of the phage by antiseru...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.73.12.4636

    authors: Langbeheim H,Arnon R,Sela M

    更新日期:1976-12-01 00:00:00

  • Gap junction-mediated intercellular biochemical coupling in cochlear supporting cells is required for normal cochlear functions.

    abstract::Dysfunction of gap junctions (GJs) caused by mutations in connexin26 (Cx26) and Cx30 accounts for nearly half of all cases of hereditary nonsyndromic deafness cases. Although it is widely held that GJs connecting supporting cells in the organ of Corti mainly provide ionic pathways for rapid removal of K+ around the ba...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.0501859102

    authors: Zhang Y,Tang W,Ahmad S,Sipp JA,Chen P,Lin X

    更新日期:2005-10-18 00:00:00

  • Warfare and reproductive success in a tribal population.

    abstract::Intergroup conflict is a persistent feature of many human societies yet little is known about why individuals participate when doing so imposes a mortality risk. To evaluate whether participation in warfare is associated with reproductive benefits, we present data on participation in small-scale livestock raids among ...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.1412287112

    authors: Glowacki L,Wrangham R

    更新日期:2015-01-13 00:00:00

  • Nociceptin/orphanin FQ-induced nociceptive responses through substance P release from peripheral nerve endings in mice.

    abstract::We have studied the in vivo signaling mechanisms involved in nociceptin/orphanin FQ (Noci)-induced pain responses by using a flexor-reflex paradigm. Noci was 10,000 times more potent than substance P (SP) in eliciting flexor responses after intraplantar injection into the hind limb of mice, but the action of Noci seem...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.95.18.10949

    authors: Inoue M,Kobayashi M,Kozaki S,Zimmer A,Ueda H

    更新日期:1998-09-01 00:00:00

  • Analysis of host range restriction in Escherichia coli treated with toluene.

    abstract::Escherichia coli cells treated with toluene replicate DNA when they are provided with deoxyribonucleoside 5'-triphosphates, ATP, Mg(++), and K(+). However, when deoxycytidine 5'-triphosphate is replaced by hydroxymethyl deoxycytidine 5'-triphosphate, incorporation of nucleotides into acid-precipitable material by tolu...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.68.10.2527

    authors: Fleischman RA,Richardson CC

    更新日期:1971-10-01 00:00:00

  • Fas (CD95) expression and death-mediating function are induced by CD4 cross-linking on CD4+ T cells.

    abstract::The CD4 receptor contributes to T-cell activation by coligating major histocompatibility complex class II on antigen presenting cells with the T-cell receptor (TCR)/CD3 complex, and triggering a cascade of signaling events including tyrosine phosphorylation of intracellular proteins. Paradoxically, CD3 cross-linking p...

    journal_title:Proceedings of the National Academy of Sciences of the United States of America

    pub_type: 杂志文章

    doi:10.1073/pnas.93.20.11014

    authors: Desbarats J,Freed JH,Campbell PA,Newell MK

    更新日期:1996-10-01 00:00:00