Abstract
A non-linear partial differential equation is analyzed using multiple scale techniques and similarity transformations in order to examine the role of hemoglobin and myoglobin in facilitating oxygen transport to tissue.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Salathe, E. P.: Mathematical modeling of oxygen transport in skeletal muscle. Math. Biosci. 58, 171–184 (1982)
Salathe, E. P., Xu, Y-H.: Mathematical analysis of transport and exchange in skeletal muscle. Proc. R. Soc. Lond., Ser. B 234, 303–318 (1988)
Wyman, J.: Facilitated diffusion and the possible role of myoglobin as a transport mechanism. J. Biol. Chem. 241, 115–121 (1966)
Xu, Y-H., Salathe, E. P.: Boundary value problems in microcirculatory physiology. Comput. Math. Appl. 20, 175–197 (1990)
Author information
Authors and Affiliations
Additional information
Supported by NSF Grant DCB 8902472
Rights and permissions
About this article
Cite this article
Salathe, E.P., Xu, YH. Non-linear phenomena in oxygen transport to tissue. J. Math. Biol. 30, 151–160 (1991). https://doi.org/10.1007/BF00160332
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00160332