Abstract

In this paper, the Langevin equation is used to solve hemoglobin aggregation in patients of sickle cell anaemia. The resulting second order nonlinear differential equation is solved to obtain a sigmoid deformation behavior. The deformation and the absorbance satisfy the Verhulst Model of the first order which is well-known in population dynamics. A time-dependent general expression is obtained for the coefficient of viscosity and the elastic modulus that characterize the aggregation of the sickle hemoglobins. Finally, the use of a Taylor second order approximation showed the viscoelastic and the elasto-thixotropic properties of the sickle hemoglobins polymer.

Key words: Deoxy-hemoglobin S, red blood cells polymerization, shear rate, viscoelastics, thixotropy, population dynamics, absorbance.