##### INNOVATIONS IN THE MODELING OF THE
RHEOLOGICAL PROPERTIES OF BLOOD

N. N. Firsov^{a} and M. A. Vyshlova^{b}
UDC 577.353:567.322:612.766
A simple substantiation of the application of backward
light scattering to diagnostics of the aggregation state of blood
has been proposed. It has been shown that the kinetics of spontaneous
and shear aggregation obeys the kinetics of second order (Smolukhowski
kinetics) and that the Smolukhowski constant is a function of the
shape of an erythrocyte and the concentration of a high-molecular-weight
polymer and it linearly depends on the rate of shear. The form of
the dependence of the average size of erythrocyte aggregates on the
rate of shear has been established. An expression for the apparent
viscosity of blood as a function of the average size of an erythrocyte
has been obtained; this expression has the form of a logarithmic asymptotics
which remains constant with variation of the macromolecular composition
of the plasma, the action of plasmapheresis, and the change in the
hematocrit and enables one to determine both the rate of shear at
which the process of disaggregation begins and the rate of shear in
total disaggregation of erythrocytes and accordingly the maximum and
minimum values of the viscosity of the blood.
^{a}Russian State Medical University, Moscow, Russia; email:
firs@rsmu.ru; ^{b}Institute of Rheumatology,
Russian Academy of Medical Sciences, Moscow, Russia.
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 76, No. 3, pp.
188-198, May-June, 2003. Original article submitted September 6, 2002.