Titlebook: Computational Methods in Systems Biology; 6th International Co Monika Heiner,Adelinde M. Uhrmacher Conference proceedings 2008 Springer-Ver

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Statistical Model Checking in ,: Applications to the Automated Analysis of T-Cell Receptor Signalinso provides guarantees on the probability of it generating Type-I (i.e., false-positive) and Type-II (i.e., false-negative) errors. Moreover, these error bounds are pre-specified by the user. We demonstrate . by verifying stochastic effects and bistability in the dynamics of the T-cell receptor signaling network.

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On a Continuous Degree of Satisfaction of Temporal Logic Formulae with Applications to Systems Biolormalized in temporal logic. We also show how it can be used to define a measure of robustness of a biological model with respect to some specification. These methods are evaluated on models of the cell cycle and of the MAPK signalling cascade.

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Courses for Non-science Studentsic parameters are usually absent for most systems of biological interest. Moreover, the models consist of a large number of variables, are strongly nonlinear and include different time-scales, which make them difficult to handle both mathematically and computationally.

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Successful Science and Engineering Teachingupported analysis techniques include stochastic simulation at the molecular level, ordinary di..erential equations, probabilistic model checking and numerical analysis of a continuous time Markov chain.

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https://doi.org/10.1007/978-1-4020-6910-9 The stochastic semantics is based on continuous time Markov chains. A simulation algorithm is developed which is firmly rooted in this stochastic semantics. Two examples underline the applicability of . to systems biology: Euglena’s movement in phototaxis, and cooperative protein binding in gene regulation of bacteriophage lambda.

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https://doi.org/10.1007/978-1-4020-6910-9me. We illustrate these features with a model of an existing biological system, a simple oscillatory pathway in cyanobacteria. We then discuss future research directions, in particular routes to applying the calculus in the study of evolutionary properties of biochemical pathways.

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