Extended kalman filter for estimation of parameters in nonlinear state-space models of biochemical networks.

It is system dynamics that determines the function of cells, tissues and organisms. To develop mathematical models and estimate their parameters are an essential issue for studying dynamic behaviors of biological systems which include metabolic networks, genetic regulatory networks and signal transduction pathways, under perturbation of external stimuli. In general, biological dynamic systems are partially observed. Therefore, a natural way to model dynamic biological systems is to employ nonlinear state-space equations. Although statistical methods for parameter estimation of linear models in biological dynamic systems have been developed intensively in the recent years, the estimation of both states and parameters of nonlinear dynamic systems remains a challenging task. In this report, we apply extended Kalman Filter (EKF) to the estimation of both states and parameters of nonlinear state-space models. To evaluate the performance of the EKF for parameter estimation, we apply the EKF to a simulation dataset and two real datasets: JAK-STAT signal transduction pathway and Ras/Raf/MEK/ERK signaling transduction pathways datasets. The preliminary results show that EKF can accurately estimate the parameters and predict states in nonlinear state-space equations for modeling dynamic biochemical networks.

CHARACTERIZATION OF CYTOCHROME P-450 MIXED FUNCTION OXIDASE OF RAT COLON MUCOSA

Non-pregnant, female adult rats pretreated with either phenobarbital (PB) or (beta)-naphthoflavone ((beta)NF) through short-course intraperitoneal injections were shown by sodium dithionite-reduced carbon monoxide difference spectroscopy and NADPH-cytochrome c in vitro assay to contain cytochrome P-450 and NADPH-dependent reductase associated with the microsomal fraction of colon mucosa. These two protein components of the mixed function oxidase system were released from the microsomal membrane, resolved from each other, and partially purified by using a combination of techniques including solubilization in nonionic detergent followed by ultracentrifugation, anion exchange and adsorption column chromatographies, native gel electrophoresis, polyethylene glycol fractionation and ultrafiltration.^ In vitro reconstitution assays demonstrated the cytochrome P-450 fraction as the site of substrate and molecular oxygen binding. By the use of immunochemical techniques including radial immunodiffusion, Ouchterlony double diffusion and protein electroblotting, the cytochrome P-450 fraction was shown to contain at least 5 forms of the protein, having molecular weights as determined by SDS gel electrophoresis identical to the corresponding hepatic cytochrome P-450. Estimation of total cytochrome P-450 content confirmed the preferential induction of particular forms in response to the appropriate drug pretreatment.^ The colonic NADPH-dependent reductase was isolated from native gel electrophoresis and second dimensional SDS gel electrophoresis was performed in parallel to that for purified reductase from liver. Comparative electrophoretic mobilities together with immunochemical analysis, as with the cytochrome P-450s, reconstitution assays, and kinetic characterization using artificial electron acceptors, gave conclusive proof of the structural and functional homology between the colon and liver sources of the enzyme.^ Drug metabolism was performed in the reconstituted mixed function oxidase system containing a particular purified liver cytochrome P-450 form or partially pure colon cytochrome P-450 fraction plus colon or liver reductase and synthetic lipid vesicles. The two drugs, benzo{(alpha)}pyrene and benzphetamine, which are most representative of the action of system in liver, lung and kidney, were tested to determine the specificity of the reconstituted system. The kinetics of benzo{(alpha)}pyrene hydroxylation were followed fluorimetrically for 3-hydroxybenzo{(alpha)}pyrene production. . . . (Author's abstract exceeds stipulated maximum length. Discontinued here with permission of author.) UMI ^