The Dose Response Regarding Microbial Disease: A Mathematical View

In the society, we have seen the incidence of both communicable and non-communicable disease, we are also familiar with the events of chronic diseases like T. B. which takes longer duration to be cured as compared to cold, cough or flu etc. The chances of disease development in an individual basically depend upon the growth rate of micro-organism causing that disease. The drug given to infected individual after reaching to the target organ/s kill the pathogens and help to cure against disease through pharmaco kinetics and pharmaco dynamics (PKPD). In this way the rate of curing of disease in infected individual depends upon the rate of killing of causing microbes by that particular drug. But how much drug one should be given, otherwise its overdose may cause deleterious side effect or direct effect to the infected persons and may result into development of symptoms of other disease. Beside growth of microbes is also influenced by resisting ability of body, unfavorable/favorable environment, nutrition but in the present paper we have neglected these all factors and have focused on relation of growth rate of microbes in individual given and dose. In the present paper we have proved our above said effect through mathematical modeling which involves various facts.