Mostrando 1 - 7 Resultados de 7 Para Buscar 'Mathematics - Dynamical Systems', tiempo de consulta: 0.47s Limitar resultados
  1. 1
    “…Due to the high complexity of biological data it is difficult to disentangle cellular processes relying only on intuitive interpretation of measurements. A Systems Biology approach that combines quantitative experimental data with dynamic mathematical modeling promises to yield deeper insights into these processes. …”
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    “…BACKGROUND: Mathematical models of dynamical systems facilitate the computation of characteristic properties that are not accessible experimentally. …”
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    “…BACKGROUND: Predicting a system’s behavior based on a mathematical model is a primary task in Systems Biology. …”
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    “…In conclusion, we provide a strategy for optimal experimental design and show its successful application on three highly nonlinear dynamic models. Although presented in the context of the GRNs to be inferred for the DREAM6 challenge, the approach is generic and applicable to most types of quantitative models in systems biology and other disciplines.…”
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  6. 6
    “…However, due to measurement noise and the limited amount of data, uncertainties in the model parameters should be considered when conclusions are drawn from estimated model attributes, such as reaction fluxes or transient dynamics of biological species. METHODS AND RESULTS: We developed the visual analytics system iVUN that supports uncertainty-aware analysis of static and dynamic attributes of biochemical reaction networks modeled by ordinary differential equations. …”
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  7. 7
    “…While different inhibitors of IL-6-induced JAK1-STAT3-signaling have been developed, understanding their precise impact on signaling dynamics requires a systems biology approach. Here we present a mathematical model of IL-6-induced JAK1-STAT3 signaling that quantitatively links physiological IL-6 concentrations to the dynamics of IL-6-induced signal transduction and expression of target genes in hepatocytes. …”
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