Choice of optimal strategy of tumor chemotherapy in Gompertz model

DOI10.1134/S1064230709020154zbMath1173.49024MaRDI QIDQ734194

E. S. Chumerina

Publication date: 19 October 2009

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

zbMATH Keywords

dynamic programming methodsynthesis of optimal controltumor growth dynamics

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Medical applications (general) (92C50) Synthesis problems (93B50) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Optimal multitherapy strategy in mathematical model of dynamics of the number of nonuniform tumor cells ⋮ Solving Volterra integral equations of the second kind by sigmoidal functions approximation ⋮ Smooth solutions of the Hamilton-Jacobi-Bellman equation in a mathematical model of optimal treatment of viral infections ⋮ On strategies on a mathematical model for leukemia therapy ⋮ Solution of the feedback control problem in the mathematical model of leukaemia therapy ⋮ A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions ⋮ Generalization of Cauchy's characteristics method to construct smooth solutions to Hamilton-Jacobi-Bellman equations in optimal control problems with singular regimes ⋮ Synthesis of optimal control in a mathematical model of tumour–immune dynamics ⋮ On viable therapy strategy for a mathematical spatial cancer model describing the dynamics of malignant and healthy cells

Cites Work

• A history of the study of solid tumour growth: the contribution of mathematical modelling
• A weakly nonlinear analysis of a model of avascular solid tumour growth
• Optimal control synthesis in therapy of solid tumor growth
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