Two Compartmental Mathematical Analysis of the Diffusion A Therapeutic Agent in Human Tissues

E. U. Agom, M. S. Atureta

Abstract: In this paper, we present a unified minimal compartmental model to estimate mathematically the concentration of a Therapeutic Agent injected intravenously in a steady state into Human tissues divided into two compartments, the blood and tissues. The model takes into consideration most, if not all physiological factors of the Human system in conformity with the physical realities vis-a-vis the Therapeutic Agent concentration before uptake by the compartments. The models were a system of first order non-homogeneous ordinary differential equations. And, the result from the models gives a zero concentration in both the blood and the tissues before the advent of the Therapeutic agent.

Keywords: Compartmental Mathematical Modelling