PK/PD model of 6-mercaptopurine treatment in acute leukemia
Mathematica Applicanda, Tome 50 (2022) no. 2, pp. 303-318.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper we present an analysis of a mathematical model of 6-P/6-TGN dynamics during the maintenance therapy of acute lymphoblastic leukemia which was proposed in Le et al. (2018). We first discuss the model with constant treatment, comparing its properties to the case without treatment. Next, we describe the model which switches between models with constant treatment and without treatment depending on frequency of drug administration and the drug’s absorption time. We show that the model with the switch has asymptotic periodic dynamics.
DOI : 10.14708/ma.v50i2.7165
Classification : 92C45, 92C50;
Mots-clés : ordinary differential equations, stationary states, stability, model with the switch, acute lymphoblastic leukemia
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Zofia Gruba. PK/PD model of 6-mercaptopurine treatment in acute leukemia. Mathematica Applicanda, Tome 50 (2022) no. 2, pp.  303-318. doi : 10.14708/ma.v50i2.7165. http://geodesic.mathdoc.fr/articles/10.14708/ma.v50i2.7165/

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