About Gompertz kinetics in mathematical models of neoplasms

Goncharova Anastasia Borisovna, Kolpak Eugeny Petrovich

The article considers two mathematical models of neoplasm. In one model, Gompertz kinetics is taken into account, in the second – Ferhulst. A comparison of the results on the dynamics of cell population growth for both models is given. In the simulation simulation, a comparison of the distributions of "patients" by the stationary volume of the tumor, by the volume of the tumor at the end of treatment is given. Statistical theoretical dependences coincide with high accuracy. It is shown that Gompertz kinetics is physically poorly substantiated.

Keywords:mathematical modeling, neoplasm, treatment, stability, stationary state