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Titlebook: Algebraic Biology; Second International Hirokazu Anai,Katsuhisa Horimoto,Temur Kutsia Conference proceedings 2007 Springer-Verlag Berlin He

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Attenuation Regulation as a Term Rewriting System,The classical attenuation regulation of gene expression in bacteria is considered. We propose to represent the secondary RNA structure in the leader region of a gene or an operon by a term, and we give a probabilistic term rewriting system modeling the whole process of such a regulation.
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Algebraic Systems Biology: Theses and Hypotheses,heses, can one algebraically model them and then manipulate them to suggest meaningful hypotheses? Using these hypotheses, can one measure and mine suitable experimental data to validate or refute these hypotheses? Through these intertwined processes of measuring, mining, modeling and manipulating b
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Discrete Models of Biochemical Networks: The Toric Variety of Nested Canalyzing Functions,odels of biological networks with favorable dynamic properties. We provide a geometric model for this class in the form of a toric algebraic variety described by a set of binomial polynomial equations, each of whose rational points corresponds to a nested canalyzing function. Toric varieties have a
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Relating Attractors and Singular Steady States in the Logical Analysis of Bioregulatory Networks,gulatory interactions, a state transition graph is constructed that captures the dynamics of the system. In the late eighties, Snoussi and Thomas extended the original framework by including singular values corresponding to interaction thresholds. They showed that these are needed for a refined unde
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,Glucose-Insulin Control of Type1 Diabetic Patients in H2/H ∞  Space Via Computer Algebra, care using computer algebra. To design the optimal controller, the disturbance rejection LQ method based on the minimax differential game is applied. The critical, minimax value of the scaling parameter .. is determined by using the Modified Riccati Control Algebraic (MCARE) equation employing redu
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Analyzing Pathways Using SAT-Based Approaches,s and answer queries using them? In this paper, we present a novel approach based on translation of generic reaction networks to Boolean .. The Boolean weighted MaxSAT instance is generated by encoding the equilibrium configurations of a reaction network by weighted boolean clauses. The important fe
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