In the last few years, mathematician & Scientist used numerous scientific studies to model the real-world problems related in the field of pharmacology or pharmaceutical sciences. In this paper we emphasis on the mathematical modeling of drug concentration in human blood stream. For this we formulate ordinary differential equation (ODE) based two models, in which first model is compartment model and second is the modified model when multiple drug doses are given to a patient at a regular time interval gap. For the solution of models we use some mathematical techniques like, Laplace transformation, delta function, Step function and interpreted the resultant equation of model from which we can evaluate the drug amount in human blood stream at any time t.

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