Case Studies in Mathematical Modelling for Medical Devices: How Pulse Oximeters, Laser Doppler Flowmeters and Fetal Monitors Work

Auteur

John Crowe retired in 2020 after working as a biomedical engineer in academia for 40 years. During this time, he worked on the development of numerous medical devices with a couple leading to the formation of spin out companies. He previously co-authored the Introduction to Digital Electronics (1998).

Texte du rabat

Case Studies in Mathematical Modelling for Medical Devices: How Pulse Oximeters, Laser Doppler Flowmeters and Fetal Monitors Work focuses on three medical devices used to monitor some aspect of physiological status: pulse oximetry, laser Doppler flowmetry and Doppler ultrasound fetal heart rate monitoring. The book's three case studies serve as the basis for readers to be able to generalize modeling to other medical devices. It introduces mathematical topics that appear in many areas of science and engineering by demonstrating the value of being able to model how devices work. This requires a brief description of their operating principles before appropriate mathematics. Containing three parts about each medical device, the book begins with a chapter on probability distributions that will be used in oximetry and laser Doppler flowmetry parts. This book is for MSc and PhD students in biomedical engineering and those interested in the mathematics behind the design of the instrumentation that they use.

Contenu

1. Probability DistributionsI Oximetry2. Introduction3. Lambert Beer Law4. Chromophores and Absorption Coefficients5. Oximetry on non-Scattering Samples6. Modelling Photon Propagation in scattering media7. Theory of light attenuation in scattering and absorbing media8. Pulse Oximetry9. SummaryII Doppler Ultrasound Fetal Heart Rate Monitoring10. Introduction11. Continuous wave operation12. Example Motions13. Production of Intermediate Frequency (IF) ultrasound signal14. Demodulation and Instantaneous Frequency15. Pulsed Systems16. ModelIII Laser Doppler Flowmetry17. Laser Doppler Flowmetry