THE EFFECT OF SEPARATE RED-BLOOD-CELLS ON CAPILLARY TISSUE OXYGENATION CALCULATED WITH A NUMERICAL-MODEL

Citation
C. Bos et al., THE EFFECT OF SEPARATE RED-BLOOD-CELLS ON CAPILLARY TISSUE OXYGENATION CALCULATED WITH A NUMERICAL-MODEL, IMA journal of mathematics applied in medicine and biology, 13(4), 1996, pp. 259-274
Citations number
28
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
ISSN journal
02650746
Volume
13
Issue
4
Year of publication
1996
Pages
259 - 274
Database
ISI
SICI code
0265-0746(1996)13:4<259:TEOSRO>2.0.ZU;2-E
Abstract
In simplified models that describe large quantities of capillaries the capillary content is considered to be homogeneous for oxygen transpor t; but, in reality, the capillaries contain discrete red blood cells ( RBCs), and this discreteness will affect oxygen transport from the cap illary to the tissue. This was previously investigated with an analyti cal model, where RBCs were modelled as point-like sources. A numerical approach is used in this investigation, and the results are compared with the analytical model. In both models the effect of the particulat e nature of blood depends on the haematocrit and on the RBC velocity. There is only a minor difference between the two models. For rat heart s, the correction factor used in this study, the extraction pressure, can be up to 3 kPa (23 mmHg).