Modeling of dielectric permittivity in the aggregation of erythrocyte molecules: application to deoxy-hemoglobin S

In this paper, study of the impact of a new treatment approach in the aggregation kinetics of deoxy-hemoglobin S molecules is developed. New approach exploring mathematical model of dielectric permittivity of Davidson-Cole and takes into account several relaxation times of the dielectrics substances like blood. Results are such that, (i) only a fine analysis of intrinsic energy dissipation curves allow sufficient precision to be obtained to describe chronic hemolytic anemia due to sickle cell anemia based on the frequency of relaxation, (ii) hematocrit calculation by the formula allowed to show the uniqueness of the relaxation time of deoxy-hemoglobin S, (iii) hematocrit levels are low and the dispersion coefficient is the parameter most influential in the aggregation of hemoglobin S. From the analysis of all these results, it appears that, the mathematical model of Davidson-Cole is a good model interpretation and knowledge of sickle cell disease. The interest of this work is the understanding of the molecular mechanism that can help develop new treatment approaches capable of preventing or limiting the risk of complications of red blood cell diseases.