Mathematical modeling of injury healing process under the action of an active pharmaceutical ingredient (API)

• Autores: Palomino I, Alfredo, Estrada R., Leighton, Valeriano M., Javier, Luque M., Sergio
• Formato: artículo
• Fecha de Publicación: 2019
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revista UNITRU - Selecciones Matemáticas
• Lenguaje: inglés
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/2636
• Enlace del recurso: http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2636
• Nivel de acceso: acceso abierto
• Materia: Injury; healing; mathematical modelling; pharmaceutically active principle; mechanism; Herida; curación; Modelamiento matemático; principio farmacéuticamente active; mecanismo

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.