Simulation of a system with variable failure intensities of components and compensatory mechanisms

The article examines a model of the aging process of an organism taking into account failures of its organs. The aim of the study is to investigate the dynamics of failures and their impact on the overall survival of the organism. The modeling is based on the Gompertz-Makeham law. The model considers three organs, and the failure of one of them leads to the redistribution of "load" among the remaining active organs, reflecting the compensatory mechanisms of the organism. The modeling results show that over time and with an increasing number of failed organs, the organism's mortality function increases, despite compensatory mechanisms. This confirms empirical data that with the accumulation of organ failures, compensatory adaptive changes diminish. The obtained data confirm the potential application of the Gompertz-Makeham model to describe aging processes with failures in multi-component biological systems. Further research could focus on refining the model parameters and considering more complex interactions between organs.