MSRI- Algebraic Methods for Biochemical Reaction Networks (Leipzig, Germany)

  1. Title:
    Reaction Networks: Definition, ODE, Mass-Action Kinetics

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  2. Title:
    Main Properties and Questions: S-Classes and Invariance, Boundedness, Steady States, Parametrizations, Multistationarity, Stability, Oscillations

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    Polynomials in Several Variables: Algebra, Geometry, Effective Computations

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    Invariants and Elimination of Variables, Sparseness

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  5. Title:
    Binomial Ideals and Monomial Parametrizations

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  6. Title:
    Laplacian Matrices, Linear Elimination and Rational Parametrizations

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  7. Title:
    Injective Networks

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  8. Title:
    Surjectivity and Multistationarity for Networks with Monomial Parametrizations. Basics on Gale Duality and Oriented Matroids

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  9. Title:
    Linear Networks. Complex Balanced Steady States.

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  10. Title:
    Parameter Regions for Multistationarity: Adhoc Approaches and Automated Approaches

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  11. Title:
    MESSI Systems

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  12. Title:
    Nonnegative Polynomials and Polyhedral Geometry

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  13. Title:
    Multistationarity via Brouwer Degree

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  14. Title:
    Parameter Regions for Multistationarity: Polytope Approach

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  15. Title:
    Bistability and Oscillations 1: Basic Definitions. Algebraic Criteria

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