Optimal control synthesis in therapy of solid tumor growth
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 946-966
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A mathematical model of tumor growth therapy is considered. The total amount of a drug is bounded and fixed. The problem is to choose an optimal therapeutic strategy, i.e., to choose an amount of the drug permanently affecting the tumor that minimizes the number of tumor cells by a given time. The problem is solved by the dynamic programming method. Exact and approximate solutions to the corresponding Hamilton–Jacobi–Bellman equation are found. An error estimate is proved. Numerical results are presented.
@article{ZVMMF_2008_48_6_a1,
author = {A. S. Bratus' and E. S. Chumerina},
title = {Optimal control synthesis in therapy of solid tumor growth},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {946--966},
publisher = {mathdoc},
volume = {48},
number = {6},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a1/}
}
TY - JOUR AU - A. S. Bratus' AU - E. S. Chumerina TI - Optimal control synthesis in therapy of solid tumor growth JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2008 SP - 946 EP - 966 VL - 48 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a1/ LA - ru ID - ZVMMF_2008_48_6_a1 ER -
%0 Journal Article %A A. S. Bratus' %A E. S. Chumerina %T Optimal control synthesis in therapy of solid tumor growth %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2008 %P 946-966 %V 48 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a1/ %G ru %F ZVMMF_2008_48_6_a1
A. S. Bratus'; E. S. Chumerina. Optimal control synthesis in therapy of solid tumor growth. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 946-966. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a1/