Stochastic simulation modeling of cell telomere shortening mechanisms in ageing and disturbance development processes

Some issues of applying the stochastic simulation modeling to the description and studying of DNA’s end structures (telomeres) shortening mechanisms are considered. The aim of this research is to study - on the base of the stochastic and simulation modeling - processes in the cells leading to the telomeres’ length shortening, and as a consequence, to decreasing the proliferative capacity, and developing pathologies including oncologic ones. The mathematical model is described in the semimartingale terms. The analysis of the modeling results is based on their comparison to the biological experiments data. The formed cell distribution in accordance to their telomeres’ length is compared with the experimental data obtained through the tests performed with human fibroblast-culture using Levy - Prokhorov metric. The study results can be used in biomedical research on ageing, and on developing various pathologies, as well as in solving a number of problems in the field of gerontology.