Krogh model
 | This article may be too technical for most readers to understand. (December 2015) |
Krogh model is a scientific model of mass transfer explaining the concentration of molecular oxygen through a cylindrical capillary tube as a function of a changing position over the capillary tube's length. It was first conceptualized by August Krogh in 1919 with the help of Agner Krarup Erlang to describe oxygen supply in living tissues from human blood vessels.[1][2]
Its applicability has been extended to various academic fields, and has been successful explaining drug diffusion, water transport, and ice formation in tissues.[3]
Mathematical modeling[edit]
Krogh model is derived by applying Fick's laws of diffusion and the law of conservation of mass over a radial interval
Limitations[edit]
Although Krogh model is a good approximation, it underestimates oxygen consumption[3] because the cylinder model does not include all the tissue surrounding the capillary.[4]
Notes[edit]
- ^ Wei & Anderson 1995, p. 176.
- ^ Larsen, Erik; Hoffman, Else; Hedrick, Michael; Wang, Tobias (2021). "August Krogh's contribution to the rise of physiology during the first half the 20th century". Comparative Biochemistry and Physiology Part A: Molecular & Integrative Physiology. 256: 110931.
- ^ a b Grinberg, O; Novozhilov, B; Grinberg, S; Friedman, B; Swartz, HM (2005). "Axial oxygen diffusion in the Krogh model: modifications to account for myocardial oxygen tension in isolated perfused rat hearts measured by EPR oximetry". Adv Exp Med Biol. 566: 127–34. doi:10.1007/0-387-26206-7_18. PMID 16594144.
- ^ Truskey, Fan & Katz 2009, p. 643.
References[edit]
- Truskey, George; Fan, Yuan; Katz, David (2009), Transport phenomena in biological systems, ISBN 978-0131569881
- Wei, James; Anderson, John (1995), Advances in chemical engineering, Volume 19, ISBN 978-0120085194