Waugh Helen V, Sherratt Jonathan A
School of Mathematics & Computing Sciences, Heriot-Watt University, Riccarton, Edinburgh, UK.
Wound Repair Regen. 2007 Jul-Aug;15(4):556-65. doi: 10.1111/j.1524-475X.2007.00270.x.
In this paper, a novel mathematical model of wound healing in both normal and diabetic cases is presented, focusing upon the effects of adding two currently available commercial engineered skin substitute therapies to the wound (Apligraf) and Dermagraft). Our work extends a previously developed model, which considers inflammatory and repair macrophage dynamics in normal and diabetic wound healing. Here, we extend the model to include equations for platelet-derived growth factor concentration, fibroblast density, collagen density, and hyaluronan concentration. This enables us to examine the variation of these components in both normal and diabetic wound healing cases, and to model the treatment protocols of these therapies. Within the context of our model, we find that the key component to successful healing in diabetic wounds is hyaluronan and that the therapies work by increasing the amount of hyaluronan available in the wound environment. The time-to-healing results correlate with those observed in clinical trials and the model goes some way to establishing an understanding of why diabetic wounds do not heal, and how these treatments affect the diabetic wound environment to promote wound closure.
本文提出了一种针对正常和糖尿病病例伤口愈合的新型数学模型，重点关注向伤口添加两种目前可用的商业工程皮肤替代疗法（Apligraf和Dermagraft）的效果。我们的工作扩展了先前开发的模型，该模型考虑了正常和糖尿病伤口愈合过程中的炎症和修复巨噬细胞动态。在这里，我们扩展了模型，纳入了血小板衍生生长因子浓度、成纤维细胞密度、胶原蛋白密度和透明质酸浓度的方程。这使我们能够研究这些成分在正常和糖尿病伤口愈合病例中的变化，并对这些疗法的治疗方案进行建模。在我们的模型背景下，我们发现糖尿病伤口成功愈合的关键成分是透明质酸，并且这些疗法通过增加伤口环境中可用的透明质酸量来发挥作用。愈合时间结果与临床试验中观察到的结果相关，并且该模型在一定程度上有助于理解糖尿病伤口不愈合的原因，以及这些治疗如何影响糖尿病伤口环境以促进伤口闭合。
