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Mathematical Models for Drug Diffusion through the Compartments of Blood
and Tissue Medium
Muhammad Faeiz Adzfar Bin Hisham
Supervisor: Dr. Fatimah Noor Binti Harun
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
This research is a study to develop mathematic models in understanding the distribution
of drugs in the human’s body through oral and intravenous route. Two models were
considered based on a diffusion process using Fick’s principle and law of mass action.
The rate constants for the law of mass action were used based on the drug efficiency on
different surfaces. The solutions obtained upon solving the ordinary differential equations
considering the rate of change of concentration in different compartments by using the
eigenvalue methods. Numerical parameters have been used in computing the drug
concentration in the different compartments. Upon illustrating the variation of drug
concentration with respect to time, the graphs were plotted using Maple software. Based
on the graph, the drug concentration in the first compartment are decreasing whereas
the drug concentration gradually increases in other compartments.
949 | UMT UNDERGRADUATE RESEARCH DAY 2018