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Showing 1 to 4 of 4 for “"Finite Dynamical Systems"”.

  1. Monomial Dynamical Systems over Finite Fields

    … is an important problem in the theory of finite dynamical systems. For monomial dynamical systems, that is, a system that can be described by monomials, information about the limit cycles can be obtained from the monomials themselves. In particular, this work contains sufficient and …

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  2. An Algebraic Approach to Reverse Engineering with an Application to Biochemical Networks

    One goal of systems biology is to predict and modify the behavior of biological networks by accurately monitoring and modeling their responses to certain types of perturbations. The construction of mathematical models based on observation of these responses, referred to as reverse engineering, is …

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  3. The Algebra of Systems Biology

    … how they interact with each other. The goal of systems biology is to look at biological systems as a whole to understand how interactions of the parts can give rise to complex dynamics. In order to do this efficiently, new techniques have to be developed. This work shows how tools from …

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  4. Algorithms for modeling and simulation of biological systems; applications to gene regulatory networks

    Systems biology is an emergent field focused on developing a system-level understanding of biological systems. In the last decade advances in genomics, transcriptomics and proteomics have gathered a remarkable amount data enabling the possibility of a system-level analysis to be grounded at a …

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