It is well established that the theological properties of blood depend
on the shear rate of the flow. At low shear rate of around 1 sec(-1)
blood exhibits the property of a viscoelastic fluid. As the shear rate
increases progressively, the blood transforms to thixotropic, pseudop
lastic and then Newtonian fluid. In the shear rate range up to approxi
mately 1 sec(-1), blood behaves viscoelastic and thixotropic. This tim
e dependent, strain dependent and shear rate dependent theological beh
avior of blood has been demonstrated experimentally in the literature.
In this work, a theological equation is developed for the characteriz
ation of both viscoelastic and thixotropic properties of blood. The eq
uation is based on the Huang model of thixotropic property incorporate
d into the viscous component of the relaxation modulus of the general
Maxwell model. Experimental data of theological hysteresis of blood at
low shear rate obtained by Bureau, Healy, Bourgoin and Joly was used
to test the validity of representation of data by the developed equati
on. Ten sets of hysteresis data were tested. They can be divided into
two different studies. The first study compared normal blood from a he
alth human subject and the pathological blood from a diabetic patient.
The second study shows the effect of neuraminidase treatment on norma
l blood. The shear rate ranges of hysteresis loops are 0 to 0.12 sec(-
1) and 0 to 1.02 sec(-1). Results show that our theological equation g
ives excellent representations of 10 sets of hysteresis loops with div
ersified theological behavior. Therefore the theological parameters in
the equation can be used to compare normal blood behavior with that o
f pathological and neuraminidase modified bloods. This method of param
eter comparison may lead to the detection of serious pathological cond
itions and be further developed to a clinical test. The method may als
o monitor the effectiveness of drug treatment to a patient as the pati
ents' blood sample theological parameters return to that of normal hea
lthy human subjects.