Optimal control for a nonlinear stochastic PDE model of cancer growth

• Published in: Optimization Vol. 73; no. 9; pp. 2745 - 2789
• Main Authors: Esmaili, Sakine, Eslahchi, M. R., Torres, Delfim F. M.
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 01.09.2024; Taylor & Francis LLC
• Subjects: Cost function; Ekeland variational principle; free boundary problem; multicellular tumour spheroid model; Nonlinear control; Optimal control; Random variables; Stochastic models; Stochastic optimal control; stochastic parabolic-hyperbolic equation; Tumors; Uniqueness

We study an optimal control problem for a stochastic model of tumour growth with drug application. This model consists of three stochastic hyperbolic equations describing the evolution of tumour cells. It also includes two stochastic parabolic equations describing the diffusions of nutrient and drug...