The system for removing needless cells (programmed cell death - apopto-
sis) is important in coordination of structural-functional organisation of large number
of cells in an organism. Discovery of cells suicide phenomenon has allowed revising old
notions about regulation mechanisms of cellular homeostasis and importance of this
mechanisms disturbance during development of large number of diseases including
cancer, auto-immune diseases and infection processes. Intuitive understanding activ-
ity of the regulatory system connected by means of complex interaction mechanisms
between positive and negative feedback loops is very difficult. Here it is necessary for-
mal mathematical methods and computer tools for modelling corresponding regulatory
mechanisms. This work deals with some results of the quantitative analysis of simplest
regulatory mechanisms for apoptosis process based on the methods for mathematical
modeling and computer simulation.