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  • World Scientific Pub Co Pte Ltd  (2)
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  • World Scientific Pub Co Pte Ltd  (2)
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  • 1
    Online Resource
    Online Resource
    BISTABILITY AND SELF-OSCILLATIONS IN CELL CYCLE CONTROL
    World Scientific Pub Co Pte Ltd ; 2006
    In:  International Journal of Bifurcation and Chaos Vol. 16, No. 04 ( 2006-04), p. 1057-1066
    Details
    In: International Journal of Bifurcation and Chaos, World Scientific Pub Co Pte Ltd, Vol. 16, No. 04 ( 2006-04), p. 1057-1066
    Abstract: A qualitative model of cell cycle control is presented and its transition from bistability to limit cycle oscillations and vice versa is discussed. The origin of this model is the two-dimensional system of kinetic equations introduced by Novak–Tyson which is illustrated computationally and analytically. For this purpose a qualitative model is numerically reconstructed from the steady state behavior of the dynamical variables including the bifurcation parameter. Then, the reconstructed cubic polynomial model is generalized to an appropriate canonical form and is analyzed in terms of Lyapunov values. On this basis, the relationship between bistability and self-oscillatory behavior of mitotic cell cycle is approached qualitatively.
    Type of Medium: Online Resource
    ISSN: 0218-1274 , 1793-6551
    URL: Article
    DOI: 10.1142/S0218127406015313
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2006
    SSG: 11
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  • 2
    Online Resource
    Online Resource
    Roger and Yang’s Kauffman bracket arc algebra is finitely generated
    World Scientific Pub Co Pte Ltd ; 2016
    In:  Journal of Knot Theory and Its Ramifications Vol. 25, No. 06 ( 2016-05), p. 1650034-
    Details
    In: Journal of Knot Theory and Its Ramifications, World Scientific Pub Co Pte Ltd, Vol. 25, No. 06 ( 2016-05), p. 1650034-
    Abstract: Generalizing the construction of the Kauffman bracket skein algebra, Roger and Yang defined the Kauffman bracket arc algebra of a punctured surface, so that it is a quantization of the decorated Teichmüller space. We provide an explicit, finite set of generators for their algebra.
    Type of Medium: Online Resource
    ISSN: 0218-2165 , 1793-6527
    URL: Article
    DOI: 10.1142/S0218216516500346
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2016
    SSG: 17,1
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