Oxygen transport and release of adenosine triphosphate in micro-channels
- Published
- Accepted
- Subject Areas
- Biophysics, Cell Biology, Computational Biology, Mathematical Biology, Hematology
- Keywords
- LambertW function, oxygen transport, ATP, numerical, hemoglobin, Heme concentration, PO2, slip, RBC core, RBC sleeve
- Copyright
- © 2015 Moschandreou
- Licence
- This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, reproduction and adaptation in any medium and for any purpose provided that it is properly attributed. For attribution, the original author(s), title, publication source (PeerJ PrePrints) and either DOI or URL of the article must be cited.
- Cite this article
- 2015. Oxygen transport and release of adenosine triphosphate in micro-channels. PeerJ PrePrints 3:e1003v1 https://doi.org/10.7287/peerj.preprints.1003v1
Abstract
The governing nonlinear steady equations for oxygen transport in a microfluidic channel are solved analytically. The Lagrange inversion theorem is used which admits complete integrable solutions in the channel. Considering a cell-rich and cell free region with RBCs and blood plasma, we obtain results showing clearly that there is a significant decrease in oxygen tension in the vicinity of an oxygen permeable membrane placed on the upper channel/tube wall and to the right side of it in the downstream field. The purpose of the membrane is to cause a rapid change in oxygen saturation as RBC’s flow through channel/tube. To the right of the membrane downstream the greatest amount of ATP is released. The method of solution is compared to numerical results. The analytical results obtained could prove useful for the corresponding time dependent problem in future studies.
Author Comment
Two solutions are presented : 1) A mathematical / Analytical solution, 2) Numerical solution, and a comparison is made for blood flow and ATP release in microfluidic channel.