Modeling of dielectric permittivity in the aggregation of erythrocyte molecules: application to deoxy-hemoglobin S
Keywords:Aggregation, Hematocrit Level, Single Relaxation Time, Permittivity Dielectric.
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.
 J. Hofrichter, P. D. Ross and W. A. Easton, Kinetics and mechanism of deoxy-hemoglobin S gelation a new approach to understanding sickles cell disease, USA: Proc. Natl. Acad. Sci, Vol.71, (1974), pp.48-64, https://doi.org/10.1073/pnas.71.12.4864.
 J. W. Harris and H. B. Bensusan (1980), Kinetics of solution-gel transformation of deoxy-hemoglobin S by continuous monitoring of viscosity, J. Lab. Clint. Med, Vol 86, pp.71-94, https://doi.org/10.1063/1.448997.
 B. Liliya and K. Nataliya, 09 June (2018). Modeling of Dielectric Permittivity of the Erythrocytes Membrane as a three-layer model.
 F. D. Morgan and D. P. Leames (1993), Dielectric relaxation spectra. J. Chem. Phys., Vol.100, No.1, 1 January 1994, pp.671-681, https://doi.org/10.1063/1.466932.
 S. Moussiliou, S. Massou and A. Essoun (2012), Influence of a Controlling Factor on the Unsteady Viscosity Profile of Deoxy-hemoglobin S, Department of Physics, Faculty of Science and Technology, University of Abomey-Calavi, 06 BP. 48 Cotonou, Republic of Benin. URL: urlhttps://doi.org/10.5539/jmsr.v1n4p79.
 J. L. Dejardin, and L. Olatunji (1985), Mathematical model of deoxy-hemoglobin S aggregation kinetics, Journal de biophysics and et de biomechanics, 9(2), pp.75-79.
 R. M. Fuoss and J. G. Kirkwood (1941), Electrical properties of solids, VIII. Dipole moments in polyvinyl chloride diphenyl system, J Am Chem Soc., vol. 63, pp.85-94.https://doi.org/10.1021/ja01847a013.
 M. Raymond and J. G. Kirkwood (1941), Electrical Properties of Solids VIII -Dipole Moments in Polyvinyl Chloride-Diphenyl Systems, Vol.63, pp .385-394.https://doi.org/10.1021/ja01847a013.
 S. Havriliak and S. Negami (1967), A complex plane representation of dielectric and mechanical relaxation processes in some polymers, vol.8, pp.161-210.https://doi.org/10.1016/0032-3861(67)90021-3.
 D. W. Davidson and R. H. Cole (1951), Dielectric relaxation in glycerol, propylene glycol, and n-propanol, J Chem Phys, vol.19, pp.1484-1490.https://doi.org/10.1063/1.1748105.
 G. H. Mark and C. L. Davey (1999), the dielectric properties of biological cells at radiofrequencies: applications in biotechnology, Enzyme and Microbial Technology, vol.25, no.3-5, pp.161-171.https://doi.org/10.1016/S0141-0229(99)00008-3.
 H. Pauly III and H. P. Schwan (1966), Dielectric properties and ion mobility in erythrocytes. Biophys. J. Vol.6, pp.621-639.https://doi.org/10.1016/S0006-3495(66)86682-1.
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