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  • 1
    Digitale Medien
    Digitale Medien
    Stochastic averaging using elliptic functions to study nonlinear stochastic systems (1993)
    Springer
    Nonlinear dynamics 4 (1993), S. 373-387 
    Details
    ISSN: 1573-269X
    Schlagwort(e): Stochastic averaging ; nonlinear systems ; elliptic functions ; probability density
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper, a new scheme of stochastic averaging using elliptic functions is presented that approximates nonlinear dynamical systems with strong cubic nonlinearities in the presence of noise by a set of Itô differential equations. This is an extension of some recent results presented in deterministic dynamical systems. The second order nonlinear differential equation that is examined in this work can be expressed as % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWexLMBb50ujb% qeguuDJXwAKbacfiGaf8hEaGNbamaacqGHRaWkcaWGJbadcaaIXaGc% cqWF4baEcqGHRaWkcaWGJbadcaaIZaGccqWF4baEdaahaaWcbeqaai% aaiodaaaGccqGHRaWkcqaH1oqzcaWGMbGaaiikaiab-Hha4jaacYca% cqWFGaaicuWF4baEgaGaaiaacMcacqGHRaWkcqaH1oqzdaahaaWcbe% qaaiaaigdacaGGVaGaaGOmaaaaruWrL9MCNLwyaGGbcOGaa43zaiaa% cIcacqWF4baEcaGGSaGae8hiaaIaf8hEaGNbaiaacaGGSaGae8hiaa% IaeqOVdGNaaeikaiaadshacaqGPaGaaiykaiabg2da9iaaicdaaaa!645D!\[\ddot x + c1x + c3x^3 + \varepsilon f(x, \dot x) + \varepsilon ^{1/2} g(x, \dot x, \xi {\text{(}}t{\text{)}}) = 0\] where c 1 and c 3 are given constants, ξ(t) is stationary stochastic process with zero mean and ε≪1 is a small parameter. This method involves the laborious manipulation of Jacobian elliptic functions such as cn, dn and sn rather than the usual trigonometric functions. The use of a symbolic language such as Mathematica reduces the computational effort and allows us to express the results in a convenient form. The resulting equations are Markov approximations of amplitude and phase involving integrals of elliptic functions. Finally, this method was applied to study some standard second order systems.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00120672
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    The Method of Averaging for Euler's Equations of Rigid Body Motion (1997)
    Springer
    Nonlinear dynamics 14 (1997), S. 295-308 
    Details
    ISSN: 1573-269X
    Schlagwort(e): Spacecraft attitude motion ; method of averaging ; elliptic functions
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract We formulate the method of averaging for perturbations of Euler's equations of rotational motion. Euler's equations are three strongly nonlinear coupled differential equations that can be viewed as a three dimensional oscillator. The method of averaging is used to determine the long-term influence of perturbation terms on the motion by averaging about the nominal rigid body motion. The treatment is applicable to a large class of motions including precession with large nutation – it is not restricted to small motions about simple spins or nearly axi-symmetric bodies. Three examples are shown that demonstrate the accuracy of the method's predictions.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1008215327247
    Standort Signatur Erwartet Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    Chaos in a system with a periodically disappearing separatrix (1990)
    Springer
    Nonlinear dynamics 1 (1990), S. 401-420 
    Details
    ISSN: 1573-269X
    Schlagwort(e): Chaos ; perturbation methods ; elliptic functions ; differential equations
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract We investigate the system $$\ddot x - x\cos \varepsilon 1 + x^3 = 0$$ in which ε≪1 by using averaging and elliptie functions. It is shown that this system is applicable to the dynamics of the familiar rotating-plane pendulum. The slow foreing permits us to envision an ‘instantancous phase portrait’ in the $$x - \dot x$$ phase plane which exhibits a center at the origin when cos ε1≤0 and a saddle and associated double homoclinic loop separatrix when cos ɛ 1 〉 0. The chaos in this problem is related to the question of on which side (left (=L) or right (=R)) of the reappearing double homoclinic loop separatrix a motion finds itself. We show that the sequence of L's and R's exhibits sensitive dependence on initial conditions by using a simplified model which assumes that motions cross the instantancous separatrix instantancously. We also present an improved model which ‘patches’ a separatrix boundary layer onto the averaging model. The predictions of both models are compared with the results of numerical integration.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01893171
    Standort Signatur Erwartet Verfügbarkeit
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  • 4
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    Unbekannt
    Genomic instability in mice lacking histone H2AX (2002)
    American Association for the Advancement of Science (AAAS)
    Details
    Publikationsdatum: 2002-04-06
    Beschreibung: Higher order chromatin structure presents a barrier to the recognition and repair of DNA damage. Double-strand breaks (DSBs) induce histone H2AX phosphorylation, which is associated with the recruitment of repair factors to damaged DNA. To help clarify the physiological role of H2AX, we targeted H2AX in mice. Although H2AX is not essential for irradiation-induced cell-cycle checkpoints, H2AX-/- mice were radiation sensitive, growth retarded, and immune deficient, and mutant males were infertile. These pleiotropic phenotypes were associated with chromosomal instability, repair defects, and impaired recruitment of Nbs1, 53bp1, and Brca1, but not Rad51, to irradiation-induced foci. Thus, H2AX is critical for facilitating the assembly of specific DNA-repair complexes on damaged DNA.〈br /〉〈br /〉〈a href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4721576/" target="_blank"〉〈img src="https://static.pubmed.gov/portal/portal3rc.fcgi/4089621/img/3977009" border="0"〉〈/a〉   〈a href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4721576/" target="_blank"〉This paper as free author manuscript - peer-reviewed and accepted for publication〈/a〉〈br /〉〈br /〉〈span class="detail_caption"〉Notes: 〈/span〉Celeste, Arkady -- Petersen, Simone -- Romanienko, Peter J -- Fernandez-Capetillo, Oscar -- Chen, Hua Tang -- Sedelnikova, Olga A -- Reina-San-Martin, Bernardo -- Coppola, Vincenzo -- Meffre, Eric -- Difilippantonio, Michael J -- Redon, Christophe -- Pilch, Duane R -- Olaru, Alexandru -- Eckhaus, Michael -- Camerini-Otero, R Daniel -- Tessarollo, Lino -- Livak, Ferenc -- Manova, Katia -- Bonner, William M -- Nussenzweig, Michel C -- Nussenzweig, Andre -- Z99 CA999999/Intramural NIH HHS/ -- New York, N.Y. -- Science. 2002 May 3;296(5569):922-7. Epub 2002 Apr 4.〈br /〉〈span class="detail_caption"〉Author address: 〈/span〉Experimental Immunology Branch, National Cancer Institute, NIH, Bethesda, MD 20892, USA.〈br /〉〈span class="detail_caption"〉Record origin:〈/span〉 〈a href="http://www.ncbi.nlm.nih.gov/pubmed/11934988" target="_blank"〉PubMed〈/a〉
    Schlagwort(e): Amino Acid Sequence ; Animals ; B-Lymphocytes/immunology/physiology ; Base Sequence ; Cell Aging ; Cell Cycle ; Cells, Cultured ; *Chromosome Aberrations ; DNA Damage ; *DNA Repair ; Female ; Gene Targeting ; Histones/chemistry/*genetics/*physiology ; Immunoglobulin Class Switching ; Infertility, Male/genetics/physiopathology ; Lymphocyte Count ; Male ; Meiosis ; Mice ; Mice, Knockout ; Molecular Sequence Data ; Mutation ; Phosphorylation ; *Recombination, Genetic ; Spermatocytes/physiology ; T-Lymphocytes/immunology/physiology
    Print ISSN: 0036-8075
    Digitale ISSN: 1095-9203
    Thema: Biologie , Chemie und Pharmazie , Informatik , Medizin , Allgemeine Naturwissenschaft , Physik
    Publiziert von American Association for the Advancement of Science (AAAS)
    Standort Signatur Erwartet Verfügbarkeit
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  • 5
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    Unbekannt
    Expression cloning of a protective Leishmania antigen (1995)
    American Association for the Advancement of Science (AAAS)
    Details
    Publikationsdatum: 1995-04-28
    Beschreibung: Parasite-specific CD4+ T cells have been shown to transfer protection against Leishmania major in susceptible BALB/c mice. An epitope-tagged expression library was used to identify the antigen recognized by a protective CD4+ T cell clone. The expression library allowed recombinant proteins made in bacteria to be captured by macrophages for presentation to T cells restricted to major histocompatibility complex class II. A conserved 36-kilodalton member of the tryptophan-aspartic acid repeat family of proteins was identified that was expressed in both stages of the parasite life cycle. A 24-kilodalton portion of this antigen protected susceptible mice when administered as a vaccine with interleukin-12 before infection.〈br /〉〈span class="detail_caption"〉Notes: 〈/span〉Mougneau, E -- Altare, F -- Wakil, A E -- Zheng, S -- Coppola, T -- Wang, Z E -- Waldmann, R -- Locksley, R M -- Glaichenhaus, N -- AI26918/AI/NIAID NIH HHS/ -- T32 DK07007/DK/NIDDK NIH HHS/ -- New York, N.Y. -- Science. 1995 Apr 28;268(5210):563-6.〈br /〉〈span class="detail_caption"〉Author address: 〈/span〉Institut de Pharmacologie Moleculaire et Cellulaire, UPR411 CNRS, Valbonne, France.〈br /〉〈span class="detail_caption"〉Record origin:〈/span〉 〈a href="http://www.ncbi.nlm.nih.gov/pubmed/7725103" target="_blank"〉PubMed〈/a〉
    Schlagwort(e): Amino Acid Sequence ; Animals ; Antigens, Protozoan/chemistry/genetics/*immunology ; Cloning, Molecular ; Histocompatibility Antigens Class II/immunology ; Immunodominant Epitopes ; Interleukin-12/administration & dosage ; Interleukin-4/immunology ; Leishmania major/genetics/*immunology ; Leishmaniasis, Cutaneous/*prevention & control ; Mice ; Mice, Inbred BALB C ; Molecular Sequence Data ; Protozoan Proteins/chemistry/genetics/*immunology ; Protozoan Vaccines/immunology ; Th1 Cells/*immunology ; Vaccines, Synthetic/immunology
    Print ISSN: 0036-8075
    Digitale ISSN: 1095-9203
    Thema: Biologie , Chemie und Pharmazie , Informatik , Medizin , Allgemeine Naturwissenschaft , Physik
    Publiziert von American Association for the Advancement of Science (AAAS)
    Standort Signatur Erwartet Verfügbarkeit
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