Application of mathematical models in respiratory medicine

Pack, A.I., Murray-Smith, D., Mills, R.J., Hooper, M. and Taylor, J. (1974) Application of mathematical models in respiratory medicine. Bulletin of the Institute of Mathematics and its Applications, 10, pp. 20-26.

Abstract

The techniques of dynamic analysis are used frequently in the study of physical systems but rarely in the experimental or routine study of physiological systems. Sucdh techniques considerably extend conventional methods of investigation in this area and provide a convenient means of quantifying a system's performance. Such quantification would represent useful information for the clinician. The study of respiratory gas exchange is suited to this approach. Both lumped and distributed parameter models have been investigated. Lumped parameter models with associated parameter estimation techniques should lead to new non-invasive methods of measurement, suited to use in clinical practice. Distributed models of the type described increase the detailed understanding of gas transport in the lung and the probable effects of disease in this process. It is suggested that there is a general need for increased collaboration between physical scientists and mathematically trained clinicians.

• Item Type: Articles
• Keywords: Physiology, medicine, respiratory gas exchange, dynamic model, lumped parameter model, distributed parameter model
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Murray-Smith, Professor David
• Authors: Pack, A.I., Murray-Smith, D., Mills, R.J., Hooper, M., and Taylor, J.
• Subjects: Q Science > QA Mathematics; Q Science > QC Physics; Q Science > QP Physiology; R Medicine > R Medicine (General); T Technology > TJ Mechanical engineering and machinery; T Technology > TK Electrical engineering. Electronics Nuclear engineering
• College/School: College of Science and Engineering > School of Engineering > Systems Power and Energy
• Journal Name: Bulletin of the Institute of Mathematics and its Applications