| An ordered pattern of enzymatic imbalance is linked with the malignant transformation and neoplastic progression in cancer cells. The molecular biology of transformed cancer cells singles out key enzymes as sensitive targets of anti-cancer drugs. Effect of TPA, a promoter of carcinogenesis is studied on one enzyme-one enzyme-substrate complex (intermediate product)-one measurable product model. It is shown that the effect of enzyme production depends on the intermediate product. The transfer rates for the mechanism are taken as continuous but subject to random fluctuations. The distribution of the process are determined by the explicit formulae for the first moments. It allows us to take into account not only the variability between the subjects, but also the variability of the process for a single subject. The present results allow us to build the prediction interval for a particular time period given the observations for some other subsequent moments.;procedure is provided here. Asymptotic properties for the estimator has been studied.;('1)J. H. Matis and H. O. Hartley, "Stochastic Compartmental Analysis: Model and least squares estimation from time series data," Biometrics, 1971, 27, pp. 77-102. ('2)C. L. Chiang, "On regular best asymptotically normal estimates," Annals of Mathematical Statistics, 27, pp. 336-351.;In other problem an estimation procedure is obtained for a stochastic compartmental model. Compartmental analysis assumes that a system may be divided into homogeneous components, or compartments. The main theory for the compartmental system was developed by Matis and Hartley('1) (1971) with a discrete population in a steady state. All the transitions among the particles are considered to be stochastic in nature. An estimation procedure, Regular Best Asymptotic Normal, discussed by Chiang('2) (1958) is investigated for a stochastic m-compartmental system. The detail proof of the. |
