Chloroquine, the popular name for 4-aminoquinoline has been the drug of choice for antimalaria world wide. In most cases when radical eradication of the protozoan from the blood stream is required. In recent years, there has been an enormous increase in the report of resistance against this highly efficient drug. It was believe that the protozoans were making the cell membrane of the red-blood cells resistance to the penetration of the Chloroquine. In an effort to surmount this problem, Coker et al., carry out a study where by Chloroquine, puritine and ascribe acid were use as combine therapy on a human model. The uptake of Chloroquine by the blood was found to increase red blood cell since the protozoans are highly concentrated in the red blood cells. Although, there were no increate explanation to what lead to the increase in the level of Chloroquine in the red blood cells. There had never been any model to explain this study.
Then the body would have C — Cb = Cv — (1)
But we know that V/(A+B) = Q — (2) where V = volume of distribution
But we also know A and B are that, Q/V = Cv -(3) the macro constant of the system.
But if resistance, a = K, Cv, where by we assume that every Ka (the microconstant for absorption). On the same reason, b = Kb Cv —(5) (Kb = distribution). Since the action of resistance and counter resistance comes to play during the distribution and absorption of the drug.
But a — b = Cv (Ka — Kb) -(6) . The forces of this relationship would determine the level of the drug in the body.
From equ(6), (a — b)/(Ka — Kb) = Cv —(7)
From (i) C — Cb = Cv —(8), sub. (8) in equ(7)
(a - b)/(ka-kb) = C — Cb —(9)
Cb = C — (a — b)/(ka-kb) —(10)
When there is any changes in resistance of the protazoans, the Cb would indicate this also would tell us more on the function of the puritine and the ascorbic acid. Thus we could conclude that the concentration of the systemic drug after absorption by the red blood cell plays an important role in determining resistance by the malaria protozoans in the red blood cell. Verification of this model using experimental data is at present pursued.
2. Rama, M. R. 1981. Ordinary differential equations, theory and Application Edward Arnold Ltd.