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About Gompertz kinetics in mathematical models of neoplasms

Goncharova Anastasia Borisovna  (PhD in Physics and Mathematics, Senior Teacher, Saint Petersburg State University )

Kolpak Eugeny Petrovich  (professor, Saint Petersburg State University )

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
 

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Citation link:
Goncharova A. B., Kolpak E. P. About Gompertz kinetics in mathematical models of neoplasms // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2022. -№10. -С. 70-75 DOI 10.37882/2223-2966.2022.10.09
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