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Mathematical modeling and optimization of intratumor drug transport
Authors:D A Klyushin  N I Lyashko  Yu N Onopchuk
Affiliation:(1) Taras Shevchenko University, Kiev, Ukraine;(2) Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine
Abstract: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. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 147–154, November–December 2007.
Keywords:mathematical model  pharmacological drug distribution  tumor  optimal control  pseudohyperbolic problem
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