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Mathematical Model of Affinity-based Drug Delivery System<br />

by Using Partial Differential Equation<br />

Tan Li Chin<br />

Supervisor: Dr. Shalela Binti Mohd. Mahali<br />

Bachelor of Science (Computional Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Affinity-based drug delivery system have been developed to overcome the limitation of<br />

unmodified hydrogel. An example of an affinity is provided by the heparin-based but is<br />

not optimal for controlled released growth factors that have weak affinity for heparin.<br />

Thus, a peptide-based delivery system of mathematical model should be developed to<br />

represent how the affinity of a peptide can modulate the release of nerve growth factor<br />

(NGF). This study aims to develop a mathematical model to represent a peptide-based<br />

affinity drug delivery system and to evaluate the NGF release profiles based on the<br />

theoretical data. An explicit finite difference scheme is used to numerically integrate the<br />

mathematical model of peptide-based drug delivery system. At the end of the study, the<br />

graphs of the predicted fraction of total growth factor release and it has shown that the<br />

more the concentration of the peptide, the slower the fraction of growth factor released.<br />

1010 | UMT UNDERGRADUATE RESEARCH DAY 2018

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