Prikaz rezultata 1 – 7 od 7 za pretraživanje 'Mathematics - Dynamical Systems', vrijeme pretraživanja: 0,06s Detaljiziraj rezultate
  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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    Lessons Learned from Quantitative Dynamical Modeling in Systems Biology
  2. 2
    “…BACKGROUND: Mathematical models of dynamical systems facilitate the computation of characteristic properties that are not accessible experimentally. …”
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    In silico labeling reveals the time-dependent label half-life and transit-time in dynamical systems
  3. 3
    “…BACKGROUND: Predicting a system’s behavior based on a mathematical model is a primary task in Systems Biology. …”
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    Likelihood based observability analysis and confidence intervals for predictions of dynamic models
  4. 4
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    A Systems Biology Study on NFκB Signaling in Primary Mouse Hepatocytes
  5. 5
    “…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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    Experimental Design for Parameter Estimation of Gene Regulatory Networks
  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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    iVUN: interactive Visualization of Uncertain biochemical reaction Networks
  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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    Model Based Targeting of IL-6-Induced Inflammatory Responses in Cultured Primary Hepatocytes to Improve Application of the JAK Inhibitor Ruxolitinib
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