Statistics and Data Science Seminar

Prof. Jie Liang
Department of Bioengineering, UIC
Entropy, folding, and function of biomolecules through Monte Carlo sampling
Abstract: The three dimensional structures of biomolecules such as proteins and RNAs are the basis of their biological functions. For RNA molecule, conformational entropy is important for stability and folding. However, it is challenging to either measure or compute conformational entropy associated with long loops. We develop optimized discrete $k$-state models of RNA backbone and estimate entropy of hairpin, bulge, internal loop, and multibranch loop of long length using an efficient sequential Monte Carlo sampling method. The estimated entropy indicate that the Jacobson-Stockmayer model has large errors for bulge, internal, and multibranch loops. For protein, we study the transition state ensemble. By generating effective samples under various experimentally derived constraints, we characterize the transition state ensemble (TSE) during protein folding. As TSE is short-lived, the size and shape of conformations in TSE have been elusive. For the protein acylphosphatase, we found TSE has diverse conformations. In contrast to previous results, we found overall TSE can be very different from native structure of proteins (with RMSD>12A). To predict protein functions, we develop a method by matching local surfaces based on estimated evolutionary information specific to individual binding region via a Bayesian Monte Carlo approach using a continuous-time Markov model. Our method provides a probabilistic model which characterizes protein binding activities that may involve multiple substrates or ligands. (Joint work with Rong Chen, Ming Lin, Zheng Ouyang, Jeffrey Tseng, and Jian Zhang) (please visit http://www.uic.edu/~jliang for further information).
Wednesday April 2, 2008 at 3:30 PM in SEO 712
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