Case Studies in Mathematical Modeling for Medical Devices

Focusing on pulse oximeters and Doppler ultrasound fetal heart rate monitors, this book delves into the mathematical principles behind these medical devices. It introduces essential topics such as statistics of random processes and Fourier-based signal processing, explaining their roles in device operation and the extraction of clinically relevant information from raw outputs. Aimed at MSc and PhD students in biomedical engineering, clinicians, and those interested in the mathematics of medical instrumentation, it also serves as a practical resource for applied mathematics courses.