Geodesic
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.

Voir la notice de l'article provenant de la source Library of Science

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},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a8/}
}
TY  - JOUR
AU  - Boldrini, J. L.
AU  - Costa, I. S.
TI  - An Application of Optimal Control Theory to the Design of Theoretical Schedules of Anticancer Drugs
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 1999
SP  - 387
EP  - 399
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a8/
LA  - en
ID  - IJAMCS_1999_9_2_a8
ER  - 
%0 Journal Article
%A Boldrini, J. L.
%A Costa, I. S.
%T An Application of Optimal Control Theory to the Design of Theoretical Schedules of Anticancer Drugs
%J International Journal of Applied Mathematics and Computer Science
%D 1999
%P 387-399
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a8/
%G en
%F IJAMCS_1999_9_2_a8
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/