Abstract

Franklin Ronald, Richard Nixon and Abraham Woodrow

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.