New data and mathematical model of erythrocyte sedimentation

Irene V. Yamaikina

doi:10.1117/12.273627

2 May 1997 New data and mathematical model of erythrocyte sedimentation

Irene V. Yamaikina

Proceedings Volume 2982, Optical Diagnostics of Biological Fluids and Advanced Techniques in Analytical Cytology; (1997) https://doi.org/10.1117/12.273627
Event: BiOS '97, Part of Photonics West, 1997, San Jose, CA, United States

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 (h_o); (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 (v_o) on H is hyperbolic at H yields 1 and linear at H yields o: v_o 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.

Citation Download Citation

Irene V. Yamaikina "New data and mathematical model of erythrocyte sedimentation", Proc. SPIE 2982, Optical Diagnostics of Biological Fluids and Advanced Techniques in Analytical Cytology, (2 May 1997); https://doi.org/10.1117/12.273627

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