THERMAL SCIENCE

International Scientific Journal

Yujin Wang

,

Yongqiang Du

,

Guang Zhang

,

Yan Wang

,

Min Zhang

OPTIMAL THERAPY POLICY FOR CANCER GROWTH WITH STOCHASTIC PERTURBATION

ABSTRACT
A stochastic Gompertz model is proposed to study cancer growth with therapy. The model reveals that the therapy and environmental fluctuation can control the tumor size, but its extinction is impossible. Optimal therapy treatment is suggested, and its probability density function is elucidated clearly by the Fokker-Planck equation.
KEYWORDS
optimal therapy policy, cancer, stochastic, equilibrium, permanent, persistent, Fokker-Planck equations, stationary distribution
PAPER SUBMITTED: 2021-02-01
PAPER REVISED: 2021-03-03
PAPER ACCEPTED: 2021-03-08
PUBLISHED ONLINE: 2022-07-16
DOI REFERENCE: https://doi.org/10.2298/TSCI2203743W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2743 - 2753]
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Optimal therapy policy for cancer growth with stochastic perturbation

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