Tranquillo R T, Murray J D
Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis 55455.
J Theor Biol. 1992 Sep 21;158(2):135-72. doi: 10.1016/s0022-5193(05)80715-5.
We propose a mathematical model to aid the understanding of how events in wound healing are orchestrated to result in wound contraction. Ultimately, a validated model could provide a predictive means for enhancing or mitigating contraction as is appropriate for managing a particular wound. The complex nature of wound healing and the lack of a modeling framework which can account for both the relevant cell biology and biomechanics are major reasons for the absence of models to date. Here we adapt a model originally proposed by Murray and co-workers to show how cell traction forces can result in spatial patterns of cell aggregates since it offers a framework for understanding how traction exerted by wound fibroblasts drives wound contraction. Since it is a continuum model based on conservation laws which reflect assumed cell and tissue properties, it is readily extended to account for emerging understanding of the cell biology of wound healing and its relationship to inflammation. We consider various sets of assumed properties, based on current knowledge, within a base model of dermal wound healing and compare predictions of the rate and extent of wound contraction to published experimental results.
我们提出了一个数学模型，以帮助理解伤口愈合过程中的各种事件是如何协调发生从而导致伤口收缩的。最终，一个经过验证的模型可以提供一种预测手段，根据特定伤口的处理需求，适当增强或减轻收缩。伤口愈合的复杂性以及缺乏一个能够兼顾相关细胞生物学和生物力学的建模框架，是目前尚无此类模型的主要原因。在此，我们改编了一个最初由默里及其同事提出的模型，以展示细胞牵引力如何导致细胞聚集体的空间模式，因为它提供了一个框架，有助于理解伤口成纤维细胞施加的牵引力如何驱动伤口收缩。由于它是一个基于守恒定律的连续模型，反映了假定的细胞和组织特性，因此很容易扩展，以纳入对伤口愈合细胞生物学及其与炎症关系的新认识。我们基于当前知识，在皮肤伤口愈合的基础模型中考虑了各种假定属性集，并将伤口收缩速率和程度的预测结果与已发表的实验结果进行比较。
