Artículo Original
Algoritmo para la identificación y cálculo de coeficientes del sistema de ecuaciones diferenciales que modela la polimerización de la hemoglobina S
Publicado 2002-06-06
Palabras clave
- Algoritmo,
- sistema de ecuaciones diferenciales,
- polimerización,
- hemoglobina,
- aplicación medica
Cómo citar
Velázquez, A., Cabal, C., Vega, O., Vaillant, L. R., Fernández, A., Ruiz, A. I., & Martínez-Sánchez, F. R. (2002). Algoritmo para la identificación y cálculo de coeficientes del sistema de ecuaciones diferenciales que modela la polimerización de la hemoglobina S. Revista Integración, Temas De matemáticas, 20(1 y 2), 19–26. Recuperado a partir de https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/733
Resumen
En este trabajo, dado un modelo que simula el proceso de polimerización de la hemoglobina S, se realiza el cálculo e identificación de los coeficientes óptimos en correspondencia con datos obtenidos experimentalmente, aplicando el método del gradiente.
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Referencias
[1] Bailey K., Morris J.S., Thomas P. and Serjeant G.R. “Fetal hemoglobinand early manifestation of homozygous sickle cell disease”,Arch. Disea.Childhood.67, 517–520, 1992.
[2] Benesch R.E., Benesch R., Edalji R. and Kwong S. “Intramolecular Effectsin the Polymerization of Hemoglobin S”,Biochem. Biophys. Res. Comm.81 (4), 1307–1312, 1978.
[3] Brieehl R.W. “Gelation of Sickle Cell Hemoglobin. IV. Phase Transition inHemoglobin S Gels: Separate Measures of Aggregation and Solution-GelEquilibrium”,J. Mol. Biol.123, 521–538, 1978.
[4] Brittenham G.M., Schechter A.N. and Noguchi C.T. “Hemoglobin S Poly-merization: Primary Determinant of the Hemolytic and Clinical Severityof the Sickling Syndromes”,Blood.65 (1), 183–189, 1985.
[5] Cabal C. and Ruiz I. “A Mechanism of the Molecular Aggregate FormationProcesses of Hemoglobin S.I.”, Publicación interna.
[6] Colombo B., Svarch E., Martínez. G.Introducción al estudio de la hemo-globinopatías, Editorial Científico Técnica, La Habana, 1981.
[7] Corbett J.D., Mickols W.E. and Maestre M.F. “Effect of Hemoglobin Con-centration on Nucleation and Polymer Formation in Sickle RedBloodCell”,The A merican Society for Biochemistry and Molecular Biology,Vol. 270, N 6, pp. 2708–2715, 1995.
[8] Chang H. and Nagel R.L. “Measurement of Sickling by Controlled Tem-perature Increase”,Blood.52 (6), 1189–1195, 1978.
[9] Cheetham R.C., Huehns E.R. and Rosemeyer M.A. “Participation of He-moglobins A, F, A2 and C in Polymerization of Hemoglobin S”,J. Mol.Biol.129, 45–61, 1979.
[10] Dean J. and Schechter A.N. “Sickle-cell anemia. Molecular and cellularbases of therapeutic approaches”,N. Engl J. Med.299, 725–763, 1978.
[11] Eaton W.A. and Hofrichther J. “Sickle Cell Hemoglobin Polymerization”,Advances in Protein Chemistry.40, 63–279, 1976.
[12] Espinosa E., Svarch E., Martínez G. and Hernándes P. “La anemiadrepanocítica en Cuba. Experiencia de 30 años”,Rev. Cub. Hema-tol/Inmunol/Hemoter.12 (2), 97–105, 1996.
[13] Ferrone F.A., Hofrichter J. and Eaton W.A. “Kinetics of Sickle Hemoglo-bin Polymerization”,J. Mol.183, 611–631, 1985.
[14] Han J. and Herzfeld J. “Interpretation of the Osmotic Behavior of SickleCell Hemoglobin Solutions: Different Interactions Among Monomers andPolymers”,Biopolymer.45, 299–306, 1998.
[15] Hillier F.S. and Lieberman G.J.Introduction to Operations Research, Edi-torial Revolucionaria, 1980.
[16] Ivanova M., Jasuja R., Kwong S., Briehl R.W. and FerroneF.A. “Nonidea-lity and the Nucleation of sickle Hemoglobin”.Biophys J.79(2) 1016–1022,2000.
[17] Makhijani V.B., Coketet G.R. and Clark A. “Dymanics of Oxygen Unloa-ding from Sickle Erythrocytes”,Biophys. J.58, 1025–1050, 1990.
[18] McPherson A. “Current approaches to macromolecular crystallization”,Eur. J. Biochem.189, 1–23, 1990.
[19] Noguchi C.T. and Schechter A.N. “The Intracellular Polymerization ofSickle Hemoglobin and its Relevance to Sickle Cell Disease”.(Review).Blood, 58, 1057–1068, 1981.
[20] Repilado J.A., Bernal A. y Ruiz A.I, “Tratamiento analítico e identifi-cación de un modelo matemático de transmisión de enfermedades infec-ciosas”.Revista Ciencias Matemáticas, Universidad de La Habana, 1998.
[21] Sunshine H.R., Hofrichter J. and Eaton W.A. “Gelation of Sickle CellHemoglobin in Mixtures with Normal Adult and Fetal Hemoglobins”,J.Mol. Biol.133, 435–467, 1979.
[22] Sastre L. y Mansilla R.Modelación Matemática de Sistemas Biológicos,Editorial CENIC, La Habana, 1988.
[23] Schechter A. N. and Noguchi C. T. “Sickle Cell Disease”,In Basic Princi-ples and Clinical Practice, Ed. by Embury S.H., et.al. Raven Press, Ltd.,New York, 33–51, 1994.
[24] Weber P. C. “Protein Crystallization”,Advan. in protein chemistry, 41,1–35, 1991.
[2] Benesch R.E., Benesch R., Edalji R. and Kwong S. “Intramolecular Effectsin the Polymerization of Hemoglobin S”,Biochem. Biophys. Res. Comm.81 (4), 1307–1312, 1978.
[3] Brieehl R.W. “Gelation of Sickle Cell Hemoglobin. IV. Phase Transition inHemoglobin S Gels: Separate Measures of Aggregation and Solution-GelEquilibrium”,J. Mol. Biol.123, 521–538, 1978.
[4] Brittenham G.M., Schechter A.N. and Noguchi C.T. “Hemoglobin S Poly-merization: Primary Determinant of the Hemolytic and Clinical Severityof the Sickling Syndromes”,Blood.65 (1), 183–189, 1985.
[5] Cabal C. and Ruiz I. “A Mechanism of the Molecular Aggregate FormationProcesses of Hemoglobin S.I.”, Publicación interna.
[6] Colombo B., Svarch E., Martínez. G.Introducción al estudio de la hemo-globinopatías, Editorial Científico Técnica, La Habana, 1981.
[7] Corbett J.D., Mickols W.E. and Maestre M.F. “Effect of Hemoglobin Con-centration on Nucleation and Polymer Formation in Sickle RedBloodCell”,The A merican Society for Biochemistry and Molecular Biology,Vol. 270, N 6, pp. 2708–2715, 1995.
[8] Chang H. and Nagel R.L. “Measurement of Sickling by Controlled Tem-perature Increase”,Blood.52 (6), 1189–1195, 1978.
[9] Cheetham R.C., Huehns E.R. and Rosemeyer M.A. “Participation of He-moglobins A, F, A2 and C in Polymerization of Hemoglobin S”,J. Mol.Biol.129, 45–61, 1979.
[10] Dean J. and Schechter A.N. “Sickle-cell anemia. Molecular and cellularbases of therapeutic approaches”,N. Engl J. Med.299, 725–763, 1978.
[11] Eaton W.A. and Hofrichther J. “Sickle Cell Hemoglobin Polymerization”,Advances in Protein Chemistry.40, 63–279, 1976.
[12] Espinosa E., Svarch E., Martínez G. and Hernándes P. “La anemiadrepanocítica en Cuba. Experiencia de 30 años”,Rev. Cub. Hema-tol/Inmunol/Hemoter.12 (2), 97–105, 1996.
[13] Ferrone F.A., Hofrichter J. and Eaton W.A. “Kinetics of Sickle Hemoglo-bin Polymerization”,J. Mol.183, 611–631, 1985.
[14] Han J. and Herzfeld J. “Interpretation of the Osmotic Behavior of SickleCell Hemoglobin Solutions: Different Interactions Among Monomers andPolymers”,Biopolymer.45, 299–306, 1998.
[15] Hillier F.S. and Lieberman G.J.Introduction to Operations Research, Edi-torial Revolucionaria, 1980.
[16] Ivanova M., Jasuja R., Kwong S., Briehl R.W. and FerroneF.A. “Nonidea-lity and the Nucleation of sickle Hemoglobin”.Biophys J.79(2) 1016–1022,2000.
[17] Makhijani V.B., Coketet G.R. and Clark A. “Dymanics of Oxygen Unloa-ding from Sickle Erythrocytes”,Biophys. J.58, 1025–1050, 1990.
[18] McPherson A. “Current approaches to macromolecular crystallization”,Eur. J. Biochem.189, 1–23, 1990.
[19] Noguchi C.T. and Schechter A.N. “The Intracellular Polymerization ofSickle Hemoglobin and its Relevance to Sickle Cell Disease”.(Review).Blood, 58, 1057–1068, 1981.
[20] Repilado J.A., Bernal A. y Ruiz A.I, “Tratamiento analítico e identifi-cación de un modelo matemático de transmisión de enfermedades infec-ciosas”.Revista Ciencias Matemáticas, Universidad de La Habana, 1998.
[21] Sunshine H.R., Hofrichter J. and Eaton W.A. “Gelation of Sickle CellHemoglobin in Mixtures with Normal Adult and Fetal Hemoglobins”,J.Mol. Biol.133, 435–467, 1979.
[22] Sastre L. y Mansilla R.Modelación Matemática de Sistemas Biológicos,Editorial CENIC, La Habana, 1988.
[23] Schechter A. N. and Noguchi C. T. “Sickle Cell Disease”,In Basic Princi-ples and Clinical Practice, Ed. by Embury S.H., et.al. Raven Press, Ltd.,New York, 33–51, 1994.
[24] Weber P. C. “Protein Crystallization”,Advan. in protein chemistry, 41,1–35, 1991.