Simple mathematical models with very complicated dynamics.

Abstract:

:First-order difference equations arise in many contexts in the biological, economic and social sciences. Such equations, even though simple and deterministic, can exhibit a surprising array of dynamical behaviour, from stable points, to a bifurcating hiearchy of stable cycles, to apparently random fluctuations. There are consequently many fascinating problems, some concerned with delicate mathematical aspects of the fine structure of the trajectories, and some concerned with the practical implications and applications. This is an interpretive review of them.

journal_name

Nature

journal_title

Nature

authors

May RM

doi

10.1038/261459a0

subject

Has Abstract

pub_date

1976-06-10 00:00:00

pages

459-67

issue

5560

eissn

0028-0836

issn

1476-4687

journal_volume

261

pub_type

杂志文章

相关文献

NATURE文献大全
  • Tunable long-distance spin transport in a crystalline antiferromagnetic iron oxide.

    abstract::Spintronics relies on the transport of spins, the intrinsic angular momentum of electrons, as an alternative to the transport of electron charge as in conventional electronics. The long-term goal of spintronics research is to develop spin-based, low-dissipation computing-technology devices. Recently, long-distance tra...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/s41586-018-0490-7

    authors: Lebrun R,Ross A,Bender SA,Qaiumzadeh A,Baldrati L,Cramer J,Brataas A,Duine RA,Kläui M

    更新日期:2018-09-01 00:00:00

  • Amyloidogenic role of cytokine TGF-beta1 in transgenic mice and in Alzheimer's disease.

    abstract::Deposition of amyoid-beta peptide in the central nervous system is a hallmark of Alzheimer's disease and a possible cause of neurodegeneration. The factors that initiate or promote deposition of amyloid-beta peptide are not known. The transforming growth factor TGF-beta1 plays a central role in the response of the bra...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/39321

    authors: Wyss-Coray T,Masliah E,Mallory M,McConlogue L,Johnson-Wood K,Lin C,Mucke L

    更新日期:1997-10-09 00:00:00

  • Synaptic facilitation requires paired activation of convergent pathways in the neocortex.

    abstract::In associative learning, the activated neurones undergo a variety of concomitant functional alterations--increases or decreases of firing activity and modifications of membrane potential or resistance and of synaptic responsiveness. Synaptic transmission which can be strengthened only when there is paired activity in ...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/290413a0

    authors: Baranyi A,Fehér O

    更新日期:1981-04-02 00:00:00

  • PTEN maintains haematopoietic stem cells and acts in lineage choice and leukaemia prevention.

    abstract::Haematopoietic stem cells (HSCs) must achieve a balance between quiescence and activation that fulfils immediate demands for haematopoiesis without compromising long-term stem cell maintenance, yet little is known about the molecular events governing this balance. Phosphatase and tensin homologue (PTEN) functions as a...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature04747

    authors: Zhang J,Grindley JC,Yin T,Jayasinghe S,He XC,Ross JT,Haug JS,Rupp D,Porter-Westpfahl KS,Wiedemann LM,Wu H,Li L

    更新日期:2006-05-25 00:00:00

  • A novel eye in 'eyeless' shrimp from hydrothermal vents of the Mid-Atlantic Ridge.

    abstract::Rimicaris exoculata is a shrimp that swarms over high-temperature (350 degrees C) sulphide chimneys at Mid-Atlantic Ridge hydrothermal fields (3,600 m). This shrimp lacks an externally differentiated eye, having instead a pair of large organs within the cephalothorax immediately beneath the dorsal surface of the trans...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/337458a0

    authors: Van Dover CL,Szuts EZ,Chamberlain SC,Cann JR

    更新日期:1989-02-02 00:00:00

  • Entanglement of single-atom quantum bits at a distance.

    abstract::Quantum information science involves the storage, manipulation and communication of information encoded in quantum systems, where the phenomena of superposition and entanglement can provide enhancements over what is possible classically. Large-scale quantum information processors require stable and addressable quantum...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature06118

    authors: Moehring DL,Maunz P,Olmschenk S,Younge KC,Matsukevich DN,Duan LM,Monroe C

    更新日期:2007-09-06 00:00:00

  • The accessible surface area and stability of oligomeric proteins.

    abstract::Protein structures are stabilized by hydrophobic and van der Waals forces, and by hydrogen bonds. The relation between these thermodynamic quantities and the actual three-dimensional structure of proteins can not be calculated precisely. However, certain empirical relations have been discovered. Hydrophobic energy is ...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/328834a0

    authors: Miller S,Lesk AM,Janin J,Chothia C

    更新日期:1987-08-27 00:00:00

  • Female choice selects for a viability-based male trait in pheasants.

    abstract::Recent theory on sexual selection suggests that females in species without paternal care choose mates by their secondary sexual characters because these indicate genotypic quality which will be transmitted to the offspring. These ideas are not yet empirically supported as data quantifying the relationship between fema...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/337166a0

    authors: von Schantz T,Göransson G,Andersson G,Fröberg I,Grahn M,Helgée A,Wittzell H

    更新日期:1989-01-12 00:00:00

  • The SH2 and SH3 domains of mammalian Grb2 couple the EGF receptor to the Ras activator mSos1.

    abstract::Many tyrosine kinases, including the receptors for hormones such as epidermal growth factor (EGF), nerve growth factor and insulin, transmit intracellular signals through Ras proteins. Ligand binding to such receptors stimulates Ras guanine-nucleotide-exchange activity and increases the level of GTP-bound Ras, suggest...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/363083a0

    authors: Rozakis-Adcock M,Fernley R,Wade J,Pawson T,Bowtell D

    更新日期:1993-05-06 00:00:00

  • Impaired cell fate through gain-of-function mutations in a chromatin reader.

    abstract::Modifications of histone proteins have essential roles in normal development and human disease. Recognition of modified histones by 'reader' proteins is a key mechanism that mediates the function of histone modifications, but how the dysregulation of these readers might contribute to disease remains poorly understood....

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/s41586-019-1842-7

    authors: Wan L,Chong S,Xuan F,Liang A,Cui X,Gates L,Carroll TS,Li Y,Feng L,Chen G,Wang SP,Ortiz MV,Daley SK,Wang X,Xuan H,Kentsis A,Muir TW,Roeder RG,Li H,Li W,Tjian R,Wen H,Allis CD

    更新日期:2020-01-01 00:00:00

  • WHO's embrace of traditional oriental medicines puts health and wildlife at risk.

    abstract:: ...

    journal_title:Nature

    pub_type: 评论,新闻

    doi:10.1038/d41586-018-07240-0

    authors: Bietz A

    更新日期:2018-11-01 00:00:00

  • Isolation of rare circulating tumour cells in cancer patients by microchip technology.

    abstract::Viable tumour-derived epithelial cells (circulating tumour cells or CTCs) have been identified in peripheral blood from cancer patients and are probably the origin of intractable metastatic disease. Although extremely rare, CTCs represent a potential alternative to invasive biopsies as a source of tumour tissue for th...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature06385

    authors: Nagrath S,Sequist LV,Maheswaran S,Bell DW,Irimia D,Ulkus L,Smith MR,Kwak EL,Digumarthy S,Muzikansky A,Ryan P,Balis UJ,Tompkins RG,Haber DA,Toner M

    更新日期:2007-12-20 00:00:00

  • Characterization of the 1S-2S transition in antihydrogen.

    abstract::In 1928, Dirac published an equation 1 that combined quantum mechanics and special relativity. Negative-energy solutions to this equation, rather than being unphysical as initially thought, represented a class of hitherto unobserved and unimagined particles-antimatter. The existence of particles of antimatter was conf...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/s41586-018-0017-2

    authors: Ahmadi M,Alves BXR,Baker CJ,Bertsche W,Capra A,Carruth C,Cesar CL,Charlton M,Cohen S,Collister R,Eriksson S,Evans A,Evetts N,Fajans J,Friesen T,Fujiwara MC,Gill DR,Hangst JS,Hardy WN,Hayden ME,Isaac CA,Johnson M

    更新日期:2018-05-01 00:00:00

  • Calcium entry through stretch-inactivated ion channels in mdx myotubes.

    abstract::Recent advances in understanding the molecular basis of human X-linked muscular dystrophies have come from the identification of dystrophin, a cytoskeletal protein associated with the surface membrane. Although there is little or virtually no dystrophin in affected individuals, it is not known how this causes muscle d...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/344670a0

    authors: Franco A Jr,Lansman JB

    更新日期:1990-04-12 00:00:00

  • Efficient introduction of specific homozygous and heterozygous mutations using CRISPR/Cas9.

    abstract::The bacterial CRISPR/Cas9 system allows sequence-specific gene editing in many organisms and holds promise as a tool to generate models of human diseases, for example, in human pluripotent stem cells. CRISPR/Cas9 introduces targeted double-stranded breaks (DSBs) with high efficiency, which are typically repaired by no...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature17664

    authors: Paquet D,Kwart D,Chen A,Sproul A,Jacob S,Teo S,Olsen KM,Gregg A,Noggle S,Tessier-Lavigne M

    更新日期:2016-05-05 00:00:00

  • Testing the genetics underlying the co-evolution of mate choice and ornament in the wild.

    abstract::One of the most debated questions in evolutionary biology is whether female choice of males with exaggerated sexual displays can evolve as a correlated response to selection acting on genes coding for male attractiveness or high overall viability. To date, empirical studies have provided support for parts of this scen...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature04564

    authors: Qvarnström A,Brommer JE,Gustafsson L

    更新日期:2006-05-04 00:00:00

  • Ras signalling linked to the cell-cycle machinery by the retinoblastoma protein.

    abstract::The Ras proto-oncogene is a central component of mitogenic signal-transduction pathways, and is essential for cells both to leave a quiescent state (G0) and to pass through the G1/S transition of the cell cycle. The mechanism by which Ras signalling regulates cell-cycle progression is unclear, however. Here we report ...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/386177a0

    authors: Peeper DS,Upton TM,Ladha MH,Neuman E,Zalvide J,Bernards R,DeCaprio JA,Ewen ME

    更新日期:1997-03-13 00:00:00

  • Catalytic activation of β-arrestin by GPCRs.

    abstract::β-arrestins are critical regulator and transducer proteins for G-protein-coupled receptors (GPCRs). β-arrestin is widely believed to be activated by forming a stable and stoichiometric GPCR-β-arrestin scaffold complex, which requires and is driven by the phosphorylated tail of the GPCR. Here we demonstrate a distinct ...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/s41586-018-0079-1

    authors: Eichel K,Jullié D,Barsi-Rhyne B,Latorraca NR,Masureel M,Sibarita JB,Dror RO,von Zastrow M

    更新日期:2018-05-01 00:00:00

  • Selective development of CD4+ T cells in transgenic mice expressing a class II MHC-restricted antigen receptor.

    abstract::T lymphocytes are predisposed to recognition of foreign protein fragments bound to cell-surface molecules encoded by the major histocompatibility complex (MHC). There is now compelling evidence that this specificity is a consequence of a selection process operating on developing T lymphocytes in the thymus. As a resul...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/341746a0

    authors: Kaye J,Hsu ML,Sauron ME,Jameson SC,Gascoigne NR,Hedrick SM

    更新日期:1989-10-26 00:00:00

  • Summits that matter.

    abstract::The European Commission has made good progress in gathering support for its new programme of basic and applied research. Now Europe's industries and heads of state need to fulfill promises made two years ago. ...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/415457a

    authors:

    更新日期:2002-01-31 00:00:00

  • Anomalous structure in the single particle spectrum of the fractional quantum Hall effect.

    abstract::The two-dimensional electron system is a powerful laboratory for investigating the physics of interacting particles. Application of a large magnetic field produces massively degenerate quantum levels known as Landau levels; within a Landau level the kinetic energy of the electrons is suppressed, and electron-electron ...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature08941

    authors: Dial OE,Ashoori RC,Pfeiffer LN,West KW

    更新日期:2010-03-25 00:00:00

  • Inhibitory receptors bind ANGPTLs and support blood stem cells and leukaemia development.

    abstract::How environmental cues regulate adult stem cell and cancer cell activity through surface receptors is poorly understood. Angiopoietin-like proteins (ANGPTLs), a family of seven secreted glycoproteins, are known to support the activity of haematopoietic stem cells (HSCs) in vitro and in vivo. ANGPTLs also have importan...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature11095

    authors: Zheng J,Umikawa M,Cui C,Li J,Chen X,Zhang C,Huynh H,Kang X,Silvany R,Wan X,Ye J,Cantó AP,Chen SH,Wang HY,Ward ES,Zhang CC

    更新日期:2012-05-30 00:00:00

  • Targeting LIF-mediated paracrine interaction for pancreatic cancer therapy and monitoring.

    abstract::Pancreatic ductal adenocarcinoma (PDAC) has a dismal prognosis largely owing to inefficient diagnosis and tenacious drug resistance. Activation of pancreatic stellate cells (PSCs) and consequent development of dense stroma are prominent features accounting for this aggressive biology1,2. The reciprocal interplay betwe...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/s41586-019-1130-6

    authors: Shi Y,Gao W,Lytle NK,Huang P,Yuan X,Dann AM,Ridinger-Saison M,DelGiorno KE,Antal CE,Liang G,Atkins AR,Erikson G,Sun H,Meisenhelder J,Terenziani E,Woo G,Fang L,Santisakultarm TP,Manor U,Xu R,Becerra CR,Borazanci

    更新日期:2019-05-01 00:00:00

  • Isolation of SARS-CoV-2-related coronavirus from Malayan pangolins.

    abstract::The current outbreak of coronavirus disease-2019 (COVID-19) poses unprecedented challenges to global health1. The new coronavirus responsible for this outbreak-severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2)-shares high sequence identity to SARS-CoV and a bat coronavirus, RaTG132. Although bats may be the...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/s41586-020-2313-x

    authors: Xiao K,Zhai J,Feng Y,Zhou N,Zhang X,Zou JJ,Li N,Guo Y,Li X,Shen X,Zhang Z,Shu F,Huang W,Li Y,Zhang Z,Chen RA,Wu YJ,Peng SM,Huang M,Xie WJ,Cai QH,Hou FH,Chen W,Xiao L,Shen Y

    更新日期:2020-07-01 00:00:00

  • Kruppel-like factor 2 regulates thymocyte and T-cell migration.

    abstract::Mammalian Kruppel-like transcription factors are implicated in regulating terminal differentiation of several tissue types. Deficiency in Kruppel-like factor (KLF) 2 (also known as LKLF) leads to a massive loss of the peripheral T-cell pool, suggesting KLF2 regulates T-cell quiescence and survival. Here we show, howev...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature04882

    authors: Carlson CM,Endrizzi BT,Wu J,Ding X,Weinreich MA,Walsh ER,Wani MA,Lingrel JB,Hogquist KA,Jameson SC

    更新日期:2006-07-20 00:00:00

  • Defining brain wiring patterns and mechanisms through gene trapping in mice.

    abstract::The search to understand the mechanisms regulating brain wiring has relied on biochemical purification approaches in vertebrates and genetic approaches in invertebrates to identify molecular cues and receptors for axon guidance. Here we describe a phenotype-based gene-trap screen in mice designed for the large-scale i...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/35065539

    authors: Leighton PA,Mitchell KJ,Goodrich LV,Lu X,Pinson K,Scherz P,Skarnes WC,Tessier-Lavigne M

    更新日期:2001-03-08 00:00:00

  • Rad52 protein stimulates DNA strand exchange by Rad51 and replication protein A.

    abstract::The generation of a double-strand break in the Saccharomyces cerevisiae genome is a potentially catastrophic event that can induce cell-cycle arrest or ultimately result in loss of cell viability. The repair of such lesions is strongly dependent on proteins encoded by the RAD52 epistasis group of genes (RAD50-55, RAD5...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/34950

    authors: New JH,Sugiyama T,Zaitseva E,Kowalczykowski SC

    更新日期:1998-01-22 00:00:00

  • Catalytic enantioselective 1,6-conjugate additions of propargyl and allyl groups.

    abstract::Conjugate (or 1,4-) additions of carbanionic species to α,β-unsaturated carbonyl compounds are vital to research in organic and medicinal chemistry, and there are several chiral catalysts that facilitate the catalytic enantioselective additions of nucleophiles to enoates. Nonetheless, catalytic enantioselective 1,6-co...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature19063

    authors: Meng F,Li X,Torker S,Shi Y,Shen X,Hoveyda AH

    更新日期:2016-09-15 00:00:00

  • Dual nature of the adaptive immune system in lampreys.

    abstract::Jawless vertebrates use variable lymphocyte receptors (VLR) comprised of leucine-rich-repeat (LRR) segments as counterparts of the immunoglobulin-based receptors that jawed vertebrates use for antigen recognition. Highly diverse VLR genes are somatically assembled by the insertion of variable LRR sequences into incomp...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature08068

    authors: Guo P,Hirano M,Herrin BR,Li J,Yu C,Sadlonova A,Cooper MD

    更新日期:2009-06-11 00:00:00

  • Intrinsic honesty and the prevalence of rule violations across societies.

    abstract::Deception is common in nature and humans are no exception. Modern societies have created institutions to control cheating, but many situations remain where only intrinsic honesty keeps people from cheating and violating rules. Psychological, sociological and economic theories suggest causal pathways to explain how the...

    journal_title:Nature

    pub_type: 杂志文章

    doi:10.1038/nature17160

    authors: Gächter S,Schulz JF

    更新日期:2016-03-24 00:00:00