Mathematical modeling of wound healing using electrospunbiodegradablepolymer nanofibers containingHerbalExtracts

Thousands of people need to repair their skin owing to some injuries, andfindingwaystotreat them hasbeen a hugechallengeforresearchers. A varietyofreports has shownthe high performanceof electrospun polymer nanofibers as wounddressingscontaining diverse drugs especially herbal extracts. A series of prominentfeatures of these materials are as follows: a rapid healingofthewound, absorptionof exudates, eliminationofdead cells, contributingtotheformationofnewtissue, and controlled release ofthedrugs. In thisstudy, it has been reviewed some important articles which focused on the wound treatment using unique herbal extract-loaded nanofibrous systems such as poly (ɛ-caprolactone)/polystyrene/chamomile and chitosan/garcinia mangostana. Afterward, a mathematical model that describes and studies the wound healing process was applied. In this line, the non-dimensionalized Fisher-Kolmogorov equation to predict the healing time of epidermal wounds without any coverage was investigated. In general, this single reaction-diffusion equation is represented for increasing rate of cell density consisting of cell migration and mitotic generation. Based on the obtained results from the literature and their fitting by the mathematical model, it has been found that the cell cycle and its division on the wound would be increased by applying the electrospun biodegradable polymer nanofibers containing herbal extract compared to the wound without coverage. This observation was seen as a result of the mitotic generation parameter in the Fisher-Kolmogorov equation. Finally, the new equation was solved by the use of MatLab software to assess the wound radius as a function of time

کلیدواژه ها:

Mathematical modeling ، Polymer nanofibers ، Herbal extract ، Wound healing ، MatLab