The model representation of the mode of action of combination therapy of chloroquine,puritine an ascobic acid

Onimisi Hassan Bello1
1hassanbello2001@yahoo.com, bima tutorial outfit

Introduction/Background:

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.

Model Deviation

The mathematical model that explains this is a follw: Suppose that resistance developed by the protozoans is a, and the effect of introducing puritine to share off the resistance from the red blood cell, b. Also, if the concentration of the drug in the body is C and that taken by the red blood cell is given Cb.

Then the body would have C Ś Cb = Cv Ś (1)

But we know that V/(A+B) = Q Ś (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 Ś(5) (Kb = distribution). Since the action of resistance and counter resistance comes to play during the distribution and absorption of the drug.

But a Ś b = Cv (Ka Ś Kb) -(6) . The forces of this relationship would determine the level of the drug in the body.

From equ(6), (a Ś b)/(Ka Ś Kb) = Cv Ś(7)

From (i) C Ś Cb = Cv Ś(8), sub. (8) in equ(7)

(a - b)/(ka-kb) = C Ś Cb Ś(9)

Cb = C Ś (a Ś b)/(ka-kb) Ś(10)

Discussion/Conclusion

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.

REFERENCES

1. Luboobi L. S 1990. A population model of inserts infesting store quantity of wheat coenosesu, 5, 121 Ś125.

2. Rama, M. R. 1981. Ordinary differential equations, theory and Application Edward Arnold Ltd.