The evolution of the molecules of deoxy-hemoglobin S in sickle cell anaemia: A mathematical prospective

International Journal of Physical Sciences

Francis E. Mensah¹ 

关键词: Deoxy-hemoglobin S;    red blood cells polymerization;    shear rate;    viscoelastics;    thixotropy;    population dynamics;    absorbance.;   

DOI  :  

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

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.

【 授权许可】

CC BY