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Modeling the Blood Alcohol Concentration in the Body<br />

by using 2-Compartment Model<br />

Siti Norzulaikha Binti Suhaimi<br />

Supervisor: Puan Siti Madhihah Binti Abd Malek<br />

Bachelor of Science (Financial Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Alcohol or ethanol is a substance found in liquor that can cause drunkenness. Alcohol<br />

causes many adverse effects on the mind and the human body. In this study, the<br />

movement of alcohol in the body is represented in the mathematical model. The general<br />

solution equation for the model depends on two free parameters which are the initial<br />

alcohol concentration in the stomach after ingestion, and the rate of alcohol absorption<br />

into the bloodstream. A two compartment model was developed to indicate the change<br />

in the alcohol concentration, which initially being ingested into the stomach, then being<br />

absorbed into the bloodstream. Separation of variables and integrating factor method<br />

were used to solve the model. The result of this research showed that the alcohol<br />

concentration in the stomach decreased over time. However, in the bloodstream, the<br />

alcohol concentration increased initially and then decreased over time.<br />

888 | UMT UNDERGRADUATE RESEARCH DAY 2018

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