Abstract
In this paper, description of clinical states of acute monocytic leukemia by means of mathematical models has been attempted. A differential equation model has been proposed to describe the relation between the input variables of administered drugs (daunomycin, Ara-C, 6-MPR and/or prednisolone) and the output variables of the number of leukemic and normal white blood cells in the peripheral blood. The model agreed well with clinical data obtained from two subjects, making it possible to predict the trend of clinical states for about 10 days ahead. From the parameters in differential equation, we could also estimate the clinically important quantities like the doubling rate constant of cells, the drug sensitivity and the duration of the drug effect.
The model here will be useful for planning and therapeutical course to induce leukemic patients to the remission state and also for classification of various leukemic states from the standpoint of their dynamical behaviours.
