Mathematical modeling of injury healing process under the action of an active pharmaceutical ingredient (API)
-
Palomino I, Alfredo [1] ; Estrada R., Leighton [1] ; Valeriano M., Javier [1] ; Luque M., Sergio [1]
-
[1] Universidad Nacional Mayor de San Marcos
Universidad Nacional Mayor de San Marcos
Perú
-
- Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 6, Nº. 2, 2019 (Ejemplar dedicado a: Agosto-Diciembre), págs. 283-288
- Idioma: inglés
- DOI: 10.17268/sel.mat.2019.02.14
- Enlaces
-
Resumen
In this work we carried out the mathematical modeling of the wound healing process, which is a well documented topic in medical and biological practice; but mathematically speaking there are still too much to be done for a clear understanding of the healing phenomom. Here we contribute to the mathematical modelling by using chemical kinetic concepts and mathematical tools, from which we have been able to formulate a system of ordinary differential equations of initial value, whose solution is presented graphically in front of a case study, where we have tested an active pharmaceutical principle with respect to its effectiveness. Finally, the speed of the healing process for such a case study produced an excellent agreement with experimental data that has been omitted due to confidentiality.
-
Referencias bibliográficas
- A. C. de O. G. et Al., Wound healing: Literature Review. 1995; 43(3):221–223.
- Dokoumetzidis, A. and Macheras, P. A century of dissolution research: From Noyes and Whitney to the Biopharmaceutics Classification System....
- Eming, S. A., Martin, P. and Tomic-Canic, M. Wound Repair and Regeneration Mechanisms. Sci. TransL Med, 2014; 322(265):265sr6.
- Flegg,J. A., Menon, S. N., Maini, P. K. and McElwain, D. L. S. On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport...
- Flynn, B. M. E. and Rovee,D. T. Healing Mechanisms. 2015; 82(10):1544–1549.
- Geris, L., Gerisch, A., and Schugart, R. C. Mathematical Modeling in Wound Healing, Bone Regeneration and Tissue Engineering. Acta Biotheor.,...
- Kratz, G. Modeling of wound healing processes in human skin using tissue culture Microsc. Res. Tech. 1998; 42(5):345–350.
- Leitao, F., Leitao, S. G., da Fonseca-Kruel, V. S., Silva, I. M. and Martins, K. Medicinal plants traded in the open-air markets in the State...
- Madhumathi, K. et al., Development of novel chitin/nanosilver composite scaffolds for wound dressing applications. J. Mater. Sci. Mater. Med....
- Palomino-Infante, A. R. Modelling the dynamics of the pulsed isolation of essential oils. in IX Americas Conference on Diferential Equations,...
- Palomino-Infante, A. R. Pulsed Isolation of Essential Oils Using Pulsed Steam. Ph.D. Thesis, FQIQ, UNMSM. 2016.
- Peppas, N. A. and Langer, R. Origins and development of biomedical engineering within chemical engineering. Biomed. Res., 2004; 50:536–546.
- Zhang,N., Yan, H. and Wen, X. Tissue-engineering approaches for axonal guidance. Brain Res. Rev., 2005; 49(1):48–64.
