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Three Compartments Model for Drug
of the Diffusion in Blood Vessels and Tissues
NurulNadzirah Binti Zaidi
Supervisor: Madam Siti Madhihah Binti Abdul Malik
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
This study focuses on drug diffusion in blood vessels and tissues based on mathematical
modeling. This study is to obtain the analytical solution equation for three compartments
model for drug diffusion in blood vessels and tissues by using separation of variable and
integrating factor. In addition, this study was conducted by using different initial
concentration values of drugs and different rate constants. From these three
compartments, we can conclude that if time taken to get rid of drugs is longer if the initial
concentration, c 0 is higher. The transfer rate between the compartments is faster if the
rate constant is higher. The maximum concentration of tissue compartment is higher than
the venous compartment. Mathematical modeling is appropriate for the detection of drug
diffusion in the body and it can easy to the pharmacist to know the concentration of drug
that should be accepted for each arterial, tissues and venous compartment.
880 | UMT UNDERGRADUATE RESEARCH DAY 2018