Hearing loss is difficult to treat due to the inner ear location and structure. Drawing from this challenging case, this scenario guides students to transform a treatment protocol into a mathematical model. Students engage in pre-clinical studies to examine local drug delivery to the cochlea. The delivery system is modeled as a liquid mixing problem. Students formulate the differential equation, and solve the equations. They compute the amount and concentration of drug in the cochlea over time, and help design safe and effective devices. Through observation and interpretation of solutions in a real-life scenario, students enhance their understanding and application of a differential equation model.
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