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Proceedings Paper

New data and mathematical model of erythrocyte sedimentation
Author(s): Irene V. Yamaikina
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Paper Abstract

The known models do not provide satisfactory description of the erythrocyte sedimentation kinetics. Experimental data have shown that erythrocyte sedimentation rate (ESR) depends on (i) hematocrit (H); (II) aggregation degree; (iii) height of the liquid column (ho); (iv) the state of the capillary inner surface and (v) diameter of the capillary (D). The latter dependence is very strong at D approximately 1 mm. Such an effect is due to a notable influence of rubbing forces on the sedimentation process at small D. Significant scatter of the ESR data for a variety of healthy donors may be due to non-standard laboratory capillaries. In this work, a mathematical model has been developed for the case of D > 4 mm, the contribution of friction being negligible. According to experimental data, the dependence of the initial ESR value (vo) on H is hyperbolic at H yields 1 and linear at H yields o: vo equals 2gR2(Delta) (rho) (1 - H)/9(eta) (H), where g equals 9.8 m/s2, R is the average erythrocyte radius, (Delta) (rho) is the difference between specific densities of erythrocytes and the medium, (eta) (H) equals (eta) o (1 + (alpha) H2) is the viscosity of erythrocyte suspension at H < 0.4, (eta) o is the medium viscosity. A kinetic equation has been derived describing the time dependence of the height of erythrocytes column, h: h-h0 + Hh0 (1 + (alpha) ) 1n (h-Hh0) / h0 (1-H)) equals - At, A equals 2gR2 (Delta) (rho) /9(eta) 0. The equation is in a good agreement with experimental data.

Paper Details

Date Published: 2 May 1997
PDF: 8 pages
Proc. SPIE 2982, Optical Diagnostics of Biological Fluids and Advanced Techniques in Analytical Cytology, (2 May 1997); doi: 10.1117/12.273627
Show Author Affiliations
Irene V. Yamaikina, Institute of Heat and Mass Transfer (Belarus)


Published in SPIE Proceedings Vol. 2982:
Optical Diagnostics of Biological Fluids and Advanced Techniques in Analytical Cytology
Robert C. Leif; Alexander V. Priezzhev; Toshimitsu Asakura; Robert C. Leif, Editor(s)

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