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Atratores pullback para equações parabólicas semilineares em domínios não cilíndricos / Atractores pullback para ecuaciones parabólicas semilineales en dominios no cilíndricos / Pullback atractors to semilinear parabolic equations in non-cylindrical domainsLázaro, Heraclio Ledgar López [UNESP] 07 March 2016 (has links)
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Previous issue date: 2016-03-07 / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / The problem that we are going to study in this work, is motivated by the dynamics of differential equations nonautonomous. We will establish the existence and uniqueness of solution for a class of parabolic semilineares equations with Dirichlet boundary condition, in a family of domains that varies with time. In addition, certain hypotheses about the non-linearity, we will show the existence of a family of attractors pullback. / O problema que vamos estudar neste trabalho é motivado pela dinâmica de equações diferenciais não autônomas. Vamos estabelecer a existência e unicidade de solução para uma classe de equaçõoes parabólicas semilineares com condição de fronteira de Dirichlet, em uma família de domínios que varia com o tempo. Além disso, sob certas hipóteses sobre a não linearidade, mostraremos a existência de uma família de atratores pullback.
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Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curvesLuu, Hoang Duc, Chávez , Joseph Páez, Son, Doan Thai, Siegmund, Stefan 19 December 2016 (has links) (PDF)
In biochemical networks transient dynamics plays a fundamental role, since the activation of signalling pathways is determined by thresholds encountered during the transition from an initial state (e.g. an initial concentration of a certain protein) to a steady-state. These thresholds can be defined in terms of the inflection points of the stimulus-response curves associated to the activation processes in the biochemical network. In the present work, we present a rigorous discussion as to the suitability of finite-time Lyapunov exponents and metabolic control coefficients for the detection of inflection points of stimulus-response curves with sigmoidal shape.
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Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curvesLuu, Hoang Duc, Chávez, Joseph Páez, Son, Doan Thai, Siegmund, Stefan 19 December 2016 (has links)
In biochemical networks transient dynamics plays a fundamental role, since the activation of signalling pathways is determined by thresholds encountered during the transition from an initial state (e.g. an initial concentration of a certain protein) to a steady-state. These thresholds can be defined in terms of the inflection points of the stimulus-response curves associated to the activation processes in the biochemical network. In the present work, we present a rigorous discussion as to the suitability of finite-time Lyapunov exponents and metabolic control coefficients for the detection of inflection points of stimulus-response curves with sigmoidal shape.
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