Case Studies in Mathematical Modeling for Medical Devices: How Pulse Oximeters and Doppler Ultrasound...

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John Crowe (Professor Emeritus of Biomedical Engineering, Faculty of Engineering, University of Nottingham, UK)

Case Studies in Mathematical Modeling for Medical Devices

How Pulse Oximeters and Doppler Ultrasound Fetal Heart Rate Monitors Work

John Crowe (Professor Emeritus of Biomedical Engineering, Faculty of Engineering, University of Nottingham, UK)

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English

Academic Press Inc
25 November 2024

Biomedical engineering; Mathematical modelling

Case Studies in Mathematical Modelling for Medical Devices: How Pulse Oximeters and Doppler Ultrasound Fetal Heart Rate Monitors Work focuses on two medical devices:

pulse oximeters and Doppler ultrasound fetal heart rate monitors. The mathematical

topics needed to explain their operation from first principles are introduced. These broadly cover the statistics of random processes

and Fourier based signal processing. They are used to explain the devices’ operation from first principles to how clinically relevant information is extracted from the devices’ raw outputs. This book is intended to be of value for MSc and PhD students in biomedical engineering and clinicians, and others, interested in the mathematics behind the design of the instrumentation that they employ. It could also be used in an applied mathematics course by providing real-world examples. The book is for MSc and PhD students working in the area who want a quick, clear introduction to the topics, upper-division undergrads as part of biomedical engineering or applied math degree courses, biomedical engineers looking for a quick ""refresher course"" and clinicians interested in the operation of the instruments they use.

By: John Crowe (Professor Emeritus of Biomedical Engineering Faculty of Engineering University of Nottingham UK)
Imprint: Academic Press Inc
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm,
Weight: 450g
ISBN: 9780323954723
ISBN 10: 0323954723
Pages: 436
Publication Date: 25 November 2024
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Probability Distributions I Oximetry 2. Introduction 3. Lambert Beer Law 4. Chromophores and Absorption Coefficients 5. Oximetry on non-Scattering Samples 6. Modelling Photon Propagation in scattering media 7. Theory of light attenuation in scattering and absorbing media8. Pulse Oximetry9. Summary II Doppler Ultrasound Fetal Heart Rate Monitoring 10. Introduction 11. Continuous wave operation 12. Example Motions 13. Production of Intermediate Frequency (IF) ultrasound signal 14. Demodulation and Instantaneous Frequency 15. Pulsed Systems 16. Model III Laser Doppler Flowmetry 17. Laser Doppler Flowmetry

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 undergraduate textbook Introduction to Digital Electronics (1998).