Publicado

2026-04-21

Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models

Correlación de la solubilidad de pazopanib en mezclas de cosolventes (acetato de etilo + etanol) y (acetato de etilo + 2-propanol) a diferentes temperaturas utilizando diferentes modelos matemáticos

Correlação da solubilidade do pazopanibe em misturas de cossolventes (acetato de etila + etanol) e (acetato de etila + 2-propanol) em diferentes temperaturas usando diferentes modelos matemáticos

DOI:

https://doi.org/10.15446/rcciquifa.v55n2.124590

Palabras clave:

Solubility, Pazopanib, Cosolvency, Mathematical models, Thermodynamics (en)
Solubilidad, Pazopanib, Cosolvencia, Modelos matemáticos, Termodinámica (es)
Solubilidade, Pazopanibe, Cosolvência, Modelos matemáticos, Termodinâmica (pt)

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Autores/as

  • Angelica Chappe Chappe Grupo Investigación: Ciencias e Ingeniería para las Tecnologías de la Información y las Comunicaciones, Escuela de Ciencias Básicas, Facultad de Ingeniería, Diseño e Innovación, Politécnico Grancolombiano, Sede Bogotá, Calle 57 No. 3-00 este, Bogotá 110231, Cundinamarca, Colombia
  • Rogelio Manuel Alvarado Martinez Grupo Investigación: Ciencias e Ingeniería para las Tecnologías de la Información y las Comunicaciones, Escuela de Ciencias Básicas, Facultad de Ingeniería, Diseño e Innovación, Politécnico Grancolombiano, Sede Bogotá, Calle 57 No. 3-00 este, Bogotá 110231, Cundinamarca, Colombia
  • Rossember Edén Cardenas-Torres Grupo de Energía Materiales y Diseño EnerDIMAT, Facultad de Ingeniería, Universidad de América, Av. Circunvalar No. 20-53, Bogotá 110321, Cundinamarca, Colombia
  • Cristian Rincón-Guio Ingeniería Industrial, Rectoría Virtual, Corporación Universitaria Minuto de Dios – UNIMINUTO, Tv. 73a #81I-19 Bogotá, Colombia
  • Germán Fabián Escobar Fiesco Departamento Matemática y Estadística, Universidad Surcolombiana, Avenida Pastrana Borrero, Carrera 1, Neiva, 410001, Huila, Colombia
  • Carlos Francisco Trujillo-Trujillo Grupo de Investigación de Ingenierías UCC-Neiva, Facultad de Ingeniería, Universidad Cooperativa de Colombia, Sede Neiva, Calle 11 No. 1-51, Neiva 410001, Colombia
  • Julian David Aristizabal Yusty Universidad Cooperativa de Colombia https://orcid.org/0009-0002-7829-2384

Objectives: To evaluate the predictive capacity and relevance of six mathematical models for correlating Pazopanib solubility in ethyl acetate + ethanol and ethyl acetate + 2-propanol cosolvent mixtures. Methods: A Python-based computational framework using nonlinear optimization algorithms (Levenberg-Marquardt) was employed to fit van't Hoff, Buchowski-Ksiazczak (lh), Apelblat, van't Hoff-Yaws, Wilson, and NRTL models to experimental data ranging from 288.15 K to 328.15 K. Results: Although three-parameter models (Apelblat and van't Hoff-Yaws) yielded nearly perfect statistical fits (R2 »0.9999), they suffered from severe multicollinearity and coefficients lacking physical significance. Two-parameter semi-empirical models, particularly van't Hoff and lh, demonstrated greater stability and thermodynamic consistency. Activity coefficient-based models (Wilson and NRTL) exhibited severe numerical instability and an order-of-magnitude increase in residual errors. Conclusions: For industrial design and solubility prediction, the van't Hoff and Buchowski-Ksiazczak models are technically superior due to their parsimony and statistical robustness, whereas activity-based models prove unreliable for this specific system.

Objetivo: Evaluar la capacidad predictiva y pertinencia de seis modelos matemáticos para correlacionar la solubilidad de Pazopanib en mezclas cosolventes de acetato de etilo con etanol y 2-propanol. Métodos: Se empleó un marco computacional en Python utilizando algoritmos de optimización no lineal (Levenberg-Marquardt) para ajustar los modelos de van't Hoff, Buchowski-Ksiazczak (lh), Apelblat, van't Hoff-Yaws, Wilson y NRTL a datos experimentales entre 288.15 K y 328.15 K. Resultados: Los modelos de tres parámetros (Apelblat y van't Hoff-Yaws) alcanzaron ajustes estadísticos superiores (R2 » 0.9999$), aunque presentaron multicolinealidad severa y coeficientes sin significado físico. Los modelos de dos parámetros, especialmente van't Hoff y lh, mostraron mayor estabilidad y consistencia termodinámica. Los modelos basados en coeficientes de actividad (Wilson y NRTL) exhibieron inestabilidad numérica y errores significativamente mayores, evidenciados en el análisis de residuales. Conclusiones: Para fines de diseño industrial y predicción, los modelos de van't Hoff y Buchowski-Ksiazczak son técnicamente superiores debido a su parsimonia y robustez estadística, mientras que los modelos de tres parámetros y de coeficientes de actividad resultan poco fiables para la caracterización termodinámica de este sistema.

Objetivos: Avaliar a capacidade preditiva e a pertinência de seis modelos matemáticos para correlacionar a solubilidade do Pazopanibe em misturas cossolventes de acetato de etila com etanol e 2-propanol. Métodos: Utilizou-se uma estrutura computacional em Python com algoritmos de otimização não linear (Levenberg-Marquardt) para ajustar os modelos de van't Hoff, Buchowski-Ksiazczak (lh) Apelblat, van't Hoff-Yaws, Wilson e NRTL a dados experimentais entre 288,15 K e 328,15 K. Resultados: Os modelos de três parâmetros (Apelblat e van't Hoff-Yaws) apresentaram os melhores ajustes estatísticos (R2 » 0,9999), porém exibiram problemas de multicolinearidade e falta de significado físico em seus coeficientes. Os modelos semiempíricos de dois parâmetros, especialmente van't Hoff e lh demonstraram maior estabilidade e consistência termodinâmica. Os modelos baseados em coeficientes de atividade (Wilson e NRTL) mostraram instabilidade numérica grave e parâmetros sem validade física. Conclusões: Para fins de projeto industrial, os modelos de van't Hoff e Buchowski-Ksiazczak são superiores devido à sua parcimônia e estabilidade estatística, sendo os mais recomendados para a predição da solubilidade neste sistema

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APA

Chappe Chappe, A., Alvarado Martinez, R. M., Cardenas-Torres, R. E., Rincón-Guio, C., Escobar Fiesco, G. F., Trujillo-Trujillo, C. F. & Aristizabal Yusty, J. D. (2026). Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models. Revista Colombiana de Ciencias Químico-Farmacéuticas, 55(2), 547–569. https://doi.org/10.15446/rcciquifa.v55n2.124590

ACM

[1]
Chappe Chappe, A., Alvarado Martinez, R.M., Cardenas-Torres, R.E., Rincón-Guio, C., Escobar Fiesco, G.F., Trujillo-Trujillo, C.F. y Aristizabal Yusty, J.D. 2026. Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models. Revista Colombiana de Ciencias Químico-Farmacéuticas. 55, 2 (abr. 2026), 547–569. DOI:https://doi.org/10.15446/rcciquifa.v55n2.124590.

ACS

(1)
Chappe Chappe, A.; Alvarado Martinez, R. M.; Cardenas-Torres, R. E.; Rincón-Guio, C.; Escobar Fiesco, G. F.; Trujillo-Trujillo, C. F.; Aristizabal Yusty, J. D. Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models. Rev. Colomb. Cienc. Quím. Farm. 2026, 55, 547-569.

ABNT

CHAPPE CHAPPE, A.; ALVARADO MARTINEZ, R. M.; CARDENAS-TORRES, R. E.; RINCÓN-GUIO, C.; ESCOBAR FIESCO, G. F.; TRUJILLO-TRUJILLO, C. F.; ARISTIZABAL YUSTY, J. D. Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models. Revista Colombiana de Ciencias Químico-Farmacéuticas, [S. l.], v. 55, n. 2, p. 547–569, 2026. DOI: 10.15446/rcciquifa.v55n2.124590. Disponível em: https://revistas.unal.edu.co/index.php/rccquifa/article/view/124590. Acesso em: 14 may. 2026.

Chicago

Chappe Chappe, Angelica, Rogelio Manuel Alvarado Martinez, Rossember Edén Cardenas-Torres, Cristian Rincón-Guio, Germán Fabián Escobar Fiesco, Carlos Francisco Trujillo-Trujillo, y Julian David Aristizabal Yusty. 2026. «Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models». Revista Colombiana De Ciencias Químico-Farmacéuticas 55 (2):547-69. https://doi.org/10.15446/rcciquifa.v55n2.124590.

Harvard

Chappe Chappe, A., Alvarado Martinez, R. M., Cardenas-Torres, R. E., Rincón-Guio, C., Escobar Fiesco, G. F., Trujillo-Trujillo, C. F. y Aristizabal Yusty, J. D. (2026) «Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models», Revista Colombiana de Ciencias Químico-Farmacéuticas, 55(2), pp. 547–569. doi: 10.15446/rcciquifa.v55n2.124590.

IEEE

[1]
A. Chappe Chappe, «Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models», Rev. Colomb. Cienc. Quím. Farm., vol. 55, n.º 2, pp. 547–569, abr. 2026.

MLA

Chappe Chappe, A., R. M. Alvarado Martinez, R. E. Cardenas-Torres, C. Rincón-Guio, G. F. Escobar Fiesco, C. F. Trujillo-Trujillo, y J. D. Aristizabal Yusty. «Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models». Revista Colombiana de Ciencias Químico-Farmacéuticas, vol. 55, n.º 2, abril de 2026, pp. 547-69, doi:10.15446/rcciquifa.v55n2.124590.

Turabian

Chappe Chappe, Angelica, Rogelio Manuel Alvarado Martinez, Rossember Edén Cardenas-Torres, Cristian Rincón-Guio, Germán Fabián Escobar Fiesco, Carlos Francisco Trujillo-Trujillo, y Julian David Aristizabal Yusty. «Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models». Revista Colombiana de Ciencias Químico-Farmacéuticas 55, no. 2 (abril 21, 2026): 547–569. Accedido mayo 14, 2026. https://revistas.unal.edu.co/index.php/rccquifa/article/view/124590.

Vancouver

1.
Chappe Chappe A, Alvarado Martinez RM, Cardenas-Torres RE, Rincón-Guio C, Escobar Fiesco GF, Trujillo-Trujillo CF, Aristizabal Yusty JD. Correlation of pazopanib solubility in (ethyl acetate + ethanol) and (ethyl acetate + 2-propanol) cosolvent mixtures at different temperatures using different mathematical models. Rev. Colomb. Cienc. Quím. Farm. [Internet]. 21 de abril de 2026 [citado 14 de mayo de 2026];55(2):547-69. Disponible en: https://revistas.unal.edu.co/index.php/rccquifa/article/view/124590

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