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An Application of Optimal Control Theory to the Design of Theoretical Schedules of Anticancer Drugs
International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 2, pp. 387-399 Cet article a éte moissonné depuis la source Library of Science

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A system of differential equations for the control of tumor growth cellsin a cycle non-specific chemotherapy is analyzed. Spontaneously acquired drug resistance is taken into account by means of a mutation rate non-decreasingly dependent on time and the drug kill rate is supposed to depend on the growth rate of sensitive cells. For general tumor growth and drug kill rates the optimal treatment consists in maximizing the allowable drug concentration throughout.
Keywords: chemotherapeutic treatments, drug resistance, optimal control
Mots-clés : chemioterapia, odporność na działanie leków, sterowanie optymalne 
@article{IJAMCS_1999_9_2_a8,
     author = {Boldrini, J. L. and Costa, I. S.},
     title = {An {Application} of {Optimal} {Control} {Theory} to the {Design} of {Theoretical} {Schedules} of {Anticancer} {Drugs}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {387--399},
     year = {1999},
     volume = {9},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a8/}
}
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Boldrini, J. L.; Costa, I. S. An Application of Optimal Control Theory to the Design of Theoretical Schedules of Anticancer Drugs. International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 2, pp. 387-399. http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a8/