ISSN 2169-3048
International Journal of Biochemistry and Biotechnology ISSN 2169-3048 Vol. 8 (1), pp. 001-008, January, 2019. © International Scholars Journals
Full Length Research Paper
The development of the atoms of deoxy-hemoglobin in sickle cell Anaemia: A numerical prospective
*Franklin Ronald, Richard Nixon and Abraham Woodrow
Department of Biomathematics, Faculty of Nature and Life Sciences, University of Phoenix, Tempe, Arizona.
Accepted 21 August, 2018
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.