NDLI: Choice of optimal strategy of tumor chemotherapy in Gompertz model

Content Provider	Springer Nature Link
Author	Chumerina, E. S.
Copyright Year	2009
Abstract	A mathematical model of tumor growth dynamics based on the Gompertz model is considered. It is assumed that tumor cells are affected by a chemotherapeutical agent capable of killing these cells. The degree of action is characterized by the therapy function. Two types of therapy functions are studied: the monotonic and the threshold ones. In the first case, the action of the chemotherapeutical agent is the larger, the higher its concentration. In the second case, the degree of action decreases if the concentration exceeds some threshold value. It is assumed that the concentration of the chemotherapeutical agent is controlled using the control function; the maximum value of this function is limited. The problem of synthesis of optimal control for minimization of the number of tumor cells at the end of the process is formulated. The problem is solved using the dynamic programming method. Exact solutions to the corresponding Hamilton-Jacoby-Bellman equations, which make the synthesis of optimal control possible, are obtained. The results of calculations for optimal therapy strategies are presented.
Starting Page	325
Ending Page	331
Page Count	7
File Format	PDF
ISSN	10642307
Journal	Journal of Computer and Systems Sciences International
Volume Number	48
Issue Number	2
e-ISSN	15556530
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2009-05-07
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Control Robotics Mechatronics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Computer Networks and Communications Control and Systems Engineering Information Systems Computer Vision and Pattern Recognition Software

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