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Klyushin, D. A.; Lyashko, N. I.; Onopchuk, Yu. N.

Mathematical modeling and optimization of intratumor drug transport. (English. Russian original) Zbl 1190.49005

Cybern. Syst. Anal. 43, No. 6, 886-892 (2007); translation from Kibern. Sist. Anal. 2007, No. 6, 147-154 (2007).
Summary: A pseudohyperbolic problem of optimal control of intratumoral drug distribution is formulated. It takes into account the heterogeneity of tumor tissues and effects of convection diffusion in a fissured porous medium. A mathematical model constructed and the corresponding optimal control problem are shown to be correct.

Cited in 6 Documents

MSC:

49J20 Existence theories for optimal control problems involving partial differential equations
93A30 Mathematical modelling of systems (MSC2010)
92C50 Medical applications (general)
35L82 Pseudohyperbolic equations

Keywords:

mathematical model; pharmacological drug distribution; tumor; optimal control; pseudohyperbolic problem
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References:

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