MATHEMATICAL AND COMPUTER MODELLING ORGANISM'S CELLULAR COMMUNITIES REGULATORIKA AT ANOMALIES
Аннотация
The mathematical and computer modelling of functioning regulatory mechanisms (regulatorika) of cellular communities is actual at solving the many bio- logical problems which are connected with the quantitative evaluation of an organism's cells behaviour, united by performing some general functions. In this work we consider the mathematical modelling method for the regulatorika of cellular communities based on the functional-differential equations of a function unit of cellular communities in multicellular organisms. Results, obtained applying this approach to the quantitative analysis of CD4 lymphocytes number regulatorika in HIV/AIDS, as well as thyroid gland follicles cellular communities in malignant neoplasms are given. 1 Introduction The quantitative study of an organism's cellular community regulatorika is conducted, basically, in three directions. In the first direction the biosystem is considered as a system of uniform cell groups, possessing existence feature in some discrete conditions and researchers have interest in the quantitative correlations of cells in different uniform groups (1, 2, 3, 4). In this works, results, obtained in the field of population's mathematical theories, are widely used. In the second and the third directions, attempts are made to take into account of the intracellular processes in modelling the regulatorika of cellular communities (5, 6, 7). Herewith, in the models of the second direction the main attention is devoted to regulatory mechanisms of cellular functions, while in the models of the third direction the cell's space-temporary organization on the considered area of multicellular organism is taken into account. In the first direction, in the models studying the regulatorika of cellular communities for rapidly regenerating cellular systems, the following three groups of uniform cells are usually taken into account (8, 9):
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