Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: Sharan, Maithili; * | Selvakumar, S.
Affiliations: Centre for Atmospheric Sciences, Indian Institute of Technology, Delhi Hauz Khas, New Delhi 110016, India
Correspondence: [*] Corresponding author. Tel.: +91 11 26591312; Fax: +91 11 26591386; 26862037; E-mail: mathilis@cas.iitd.ernet.in.
Abstract: A mathematical model is formulated for the simultaneous transport of oxygen (O2) and carbon dioxide (CO2) in the systemic capillaries and surrounding tissue. The model takes into account the molecular diffusion, convection and the consumption of O2 and the production of CO2 in the tissue due to metabolism. The interaction of O2 and CO2 in the blood is incorporated using non-linear functions to represent O2 and CO2 dissociation curves depending on both O2 and CO2 in the blood. The formulation leads to a coupled system of nonlinear partial differential equations. A finite difference technique of O((Δr1)2,(Δr2)2,Δz) along with a line iterative approach is described to solve the governing equations of the model together with the physiologically relevant boundary conditions. It is shown that the interaction of O2 and CO2 in the blood plays an important role in the removal of CO2 from the tissue whereas its effect is not significant on the delivery of O2 to tissue. It is found that by considering the interaction of O2 and CO2 in the blood, the accumulation of the total CO2 is reduced by about 44% of the total CO2 exchanged in the tissue. The sensitivity analysis shows that the PO2 (PCO2) in the tissue decreases (increases) with the decrease of blood velocity and increase of metabolic rate.
Keywords: Numerical model, finite difference technique, line iterative approach, simultaneous transport, oxygen, carbon dioxide, accumulation of CO2
DOI: 10.3233/JCM-2006-61-408
Journal: Journal of Computational Methods in Sciences and Engineering, vol. 6, no. 1-4, pp. 87-104, 2006
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
sales@iospress.com
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
info@iospress.nl
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office info@iospress.nl
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
china@iospress.cn
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
如果您在出版方面需要帮助或有任何建, 件至: editorial@iospress.nl