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In this paper, we present a new robust delay dependent asymptotic stability criteria for genetic regulatory networks with time varying delays. The obtained results have no restriction on the magnitude of derivative of time varying delay, which is less conservative than some existing results. Based on Lyapunov stability theory and linear matrix inequality (LMI), sufficient condition for genetic regulatory...
Locating functionally important protein surfaces and identifying the catalytic site residues are critical for studying enzyme functions. Here, we present methods for predicting and characterizing catalytic sites of enzymes at atomic level that is fold-independent. By extract atomic patterns of catalytic residues in surface pockets computed geometrically, we develop a library of atomic patterns on...
To infer protein function by matching local surface patterns, an effective scoring matrix for evaluating surface similarity is critical. In this study, we develop an evolution model of binding surfaces using a continuous time Markov process. We develop a Bayesian Markov chain Monte Carlo method to estimate the substitution rates of amino acid residues with specialized move sets. We then develop scoring...
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