Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 26 No. 2 (2008): Revista Integración, temas de matemáticas
Research and Innovation Articles

A Mechanism of crystallization process of hemoglobin S

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  • Carlos Cabal Mirabal,
  • Ivan Ruiz Chaveco
Carlos Cabal Mirabal
University of Oriente, Lumumbas/n, Santiago de Cuba.
Bio
Ivan Ruiz Chaveco
Faculty of Mathematics and Computing,University of Oriente, Lumumbas/n, Santiago de Cuba.
Bio

Published 2009-08-31

Keywords

  • Polymerization,
  • Crystallization,
  • HemoglobinS,
  • Sickle-cell,
  • Modeling

How to Cite

Cabal Mirabal, C., & Ruiz Chaveco, I. (2009). A Mechanism of crystallization process of hemoglobin S. Revista Integración, Temas De matemáticas, 26(2), 89–96. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/178

Abstract

It has been studied as the qualitative consequence of a proposed mechanism of reaction for the formation of HbS molecular aggregations, as well as the mathematical model associated with it, for the particular case that the process of crystallization takes place at partial pressure and constant temperature.

It is showed that the results mentioned in the study can be used to explain experimental existing data, although this data are small to decide between various options that are compatible with existing experimental models and experimental data.

Also, qualitative consequences of to mechanism of reaction suggested for the formation of HbS molecular aggregations, as well as the mathematical model associated, are studied for a particular case in which to process of crystallization under constant oxygen, partial pressure and constant tem-peratures.

The results of such study, which are able to explain the existing experi­mental data, are shown. However, this is latter very scarce for being able to decide among various existing choices compatible with the model and experimental data.

 

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References

[1] G.R. Serjeant, Sickle Cell Disease, Oxford University Press, UK, 1994.

[2] W.A. Eaton, J. Hofrichther, “Sickle Cell Hemoglobin Polymerization”, Advances in Protein Chemistry. 40 (1990) 63-279.

[3] C. Cabal, A. I. Ruiz, “A model of the Molecular Aggregate Processes of Hemoglobin S. Absence of Crystallization”, Revista Integration, Vol 26, No. 1 (2008), 21-30.

[4] T.E. Wellems, R. Josephs, “Crystallization of Deoxyhemoglobin S by Fiber Alignmentand Fusion”, J. Mol. Biol. 135(1979) 651-674.

[5] A. McPherson, “Current approaches to macromolecular crystallization”, Eur. J. Biochem. 189 (1990) 1-23.

[6] G. Agarwal, J.C. Wang, S. Kwong , S.M. Cohen, F.A. Ferrone, R. Josephs,R.W. Briehl, “Sickle hemoglobin Fibers: Mechanisms of Depolymerization”, J. Mol. Biol. 322 (2002) 395-412.

[7] F.A. Ferrone, J. Hofrichter, W.A. Eaton, “Kinetics of Sickle Hemoglobin Polymerization. II A double nucleation mechanism”, J. Mol. Biol. 183 (1985) 611-631.

[8] M. Ivanova, R. Jasuja, S. Kwong, R.W. Briehl, F.A. Ferrone, “Nonideality and the nucleation of sickle hemoglobin”, Biophys. J. 79 (2000) 1016-1022.

[9] V.B. Makhijani., G.R. Coketet, A. Clark, “Dymanics of oxygen unloading from sickle erythrocytes”, Biophys. J. 58 (1990) 1025-1050.

[10] F.A. Ferrone, M. Ivanova, R. Jasuja, “Heterogeneous Nucleation Crowding in Sickle Hemoglobin. An Analytic Approach”, Biophys. J. 82 (2002) 399- 406.

[11] M. Ivanova, R. Jasuja, S. Kwong, R.W Briehl, F.A. Ferrone, “Nonideality and the nucleation of Sickle Hemoglobin”, Biophys. J. 79 (2000) 1012- 1022.

[12] L. Elsgoltz, Differential Equations and Variation Calculus, Second Edition. Editorial Mir. Moscow. 1977.