Optimal control of cancer chemotherapy model using the coupled Adomian Alienor methods

Optimal control of cancer chemotherapy model using the coupled Adomian Alienor methods

Purpose - This paper deals with the use of the combined Adomian Alienor methods for solving the problem of optimal cancer chemotherapy model.Design methodology approach - The combination of the Adomian decomposition method and the Alienor reducing transformation method allows us to solve the control...

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Veröffentlicht in:Kybernetes 2006-01, Vol.35 (6), p.905-914
Hauptverfasser: Manseur, S., Cherruault, Y.
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Sprache:eng
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Cancer
Chemotherapy
Cybernetics
Problem solving
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Cherruault, Y.
description Purpose - This paper deals with the use of the combined Adomian Alienor methods for solving the problem of optimal cancer chemotherapy model.Design methodology approach - The combination of the Adomian decomposition method and the Alienor reducing transformation method allows us to solve the control problem as if it were a classical one dimensional minimization problem. The mathematical model used here describes specific model based on cell-cycle kinetics.Findings - It was found that the goal is to maintain the number of the cancerous cells around a desired value while keeping the toxicity to the normal tissues acceptable.Practical implications - Simulation results are given for illustration.Originality value - New combined approach to optimal control of cancer chemotherapy using Adomian Alienor Methods.
doi_str_mv 10.1108/03684920610662700
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subjects Cancer
Chemotherapy
Cybernetics
Problem solving
title Optimal control of cancer chemotherapy model using the coupled Adomian Alienor methods
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