A mathematical model of the process of ligament repair: Effect of cold therapy and mechanical stress

This article proposes a mathematical model that predicts the wound healing process of the ligament after a sprain, grade II. The model describes the swelling, expression of the platelet-derived growth factor (PDGF), formation and migration of fibroblasts into the injury area and the expression of collagen fibers. Additionally, the model can predict the effect of ice treatment in reducing inflammation and the action of mechanical stress in the process of remodeling of collagen fibers. The results obtained from computer simulation show a high concordance with the clinical data previously reported by other authors.

► We propose a model of ligament healing from the swelling, to the remodeling of the collagen.
► This paper has studied the beneficial effect of the use of cold therapy during the stage of swelling.
► This work opens new lines of research related to planning and design of treatment plans.