Statistical Methods for the Analysis of Disease Processes
This paper is concerned with three problems connected with the processing of clinical and laboratory data: (i) construction of a generalized index for the seriousness of a disease; (ii) estimation of the information content of biochemical indices and (iii) statistical estimation of the parameters of disease models. These problems arise both in clinical practice and during theoretical investigations of disease mechanisms: solutions would be of great value in the study of disease processes. Since the problems are concerned with the analysis of experimental data it seems natural to tackle them using probability methods. This paper gives a brief description of the approach to the above problems developed at the Department of Numerical Mathematics in Moscow.
KeywordsInformation Content Random Process Statistical Estimation Wiener Process Mathematical Expectation
Unable to display preview. Download preview PDF.
- Marchuk, G.I. (1983). Mathematical Models in Immunology. Optimization Software, Inc., Publications Division, New York.Google Scholar
- Nisevich,N.I.,Marchuk, G.I., Zubikova, I.I., and Pogoz.hev, I.B. (1981). Mathematical Modelling of Viral Hepatitis. Nauka, Moscow.Google Scholar
- Pogozhev, I.B., Zubikova, L.L. and Romanjukha, A.A. (1981). Mathematical models of the liver functional recovery and their application. In Mathematical Methods in Clinical Practice. Nauka, Novosibirsk, pp. 40–55.Google Scholar
- Venttsel, A.D. and Freidlin, M.I. (1979). Fluctuations in Dynamic Systems under the Influence of Small Stochastic Disturbances. Nauka, Moscow, pp. 424.Google Scholar
- Zuev, S.M. (1982). Statistical estimation of functional recovery process parameters. In Mathematical Modeling in Immunology and Medicine. Nauka, Novosibirsk, pp. 93–100.Google Scholar
- Zuev, S.M. (1983). Statistical estimation of immune response mathematical models coefficients. In Proceedings of the IFIP Conference on Mathematical Modeling in Immunology and Medicine. North Holland Publishing Company, Amsterdam.Google Scholar