Analytic solutions of a simple advection-diffusion model of an oxygen transfer device

McKee, S., Dougall, E. A. and Mottram, N. J. (2016) Analytic solutions of a simple advection-diffusion model of an oxygen transfer device. Journal of Mathematics in Industry, 6, 3. (doi: 10.1186/s13362-016-0019-3)

Abstract

Artificial blood oxygenation is an essential aspect of cardiopulmonary bypass surgery, maintaining physiological levels of oxygen and carbon dioxide in the blood, and thus temporarily replacing the normal function of the lungs. The blood-gas exchange devices used for such procedures have a long history and have had varying degrees of success. In this paper we consider a simple model of a new approach to enhancing the diffusion of oxygen into the blood while it is contained in the artificial blood oxygenator. We show that using a transverse flow, which may be set up using mixing elements that we have previously shown experimentally to enhance blood oxygenation, will increase the oxygen levels within the blood. This simple model and associated analytic solutions can then be used to aid the optimisation of blood oxygenation devices.

• Item Type: Articles
• Additional Information: This work was partially funded by the UK Engineering and Physical Sciences Research Council Doctoral Training Centre in Medical Devices at the University of Strathclyde.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Mottram, Professor Nigel
• Authors: McKee, S., Dougall, E. A., and Mottram, N. J.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of Mathematics in Industry
• Publisher: SpringerOpen
• ISSN: 2190-5983
• ISSN (Online): 2190-5983
• Copyright Holders: Copyright © 2016 McKee et al.
• First Published: First published in Journal of Mathematics in Industry 6: 3
• Publisher Policy: Reproduced under a Creative Commons License
• Data DOI: 10.15129/a7f7374f-7220-4b13-8a5c-0267449cbe3d