Boon W M, Koppenol D C, Vermolen F J
Department of Mathematics, Universitetet i Bergen Realfagbygget, Allégt. 41, 5020 Bergen, Norway.
Delft Institute of Applied Mathematics, Faculty of Civil Engineering, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands.
J Biomech. 2016 May 24;49(8):1388-1401. doi: 10.1016/j.jbiomech.2015.11.058. Epub 2015 Dec 12.
A mathematical model for wound contraction is presented. The model is based on a cell-based formalism where fibroblasts, myofibroblasts and the immune reaction are taken into account. The model is used to simulate contraction of a wound using point forces on the cell boundary and it also determines the orientation of collagen after restoration of the damage. The paper presents the mathematical model in terms of the equations and assumptions, as well as some implications of the modelling. The present model predicts that the amount of final contraction is larger if the migration velocity of the leukocytes is larger and hence it is important that the immune system functions well to prevent contractures. Further, the present model is the first cell-based model that combines the immune system to final contractions.
提出了一种伤口收缩的数学模型。该模型基于一种基于细胞的形式体系，其中考虑了成纤维细胞、肌成纤维细胞和免疫反应。该模型用于通过细胞边界上的点力来模拟伤口的收缩，并且还能在损伤修复后确定胶原蛋白的取向。本文从方程和假设方面介绍了该数学模型，以及建模的一些意义。当前模型预测，如果白细胞的迁移速度更大，最终收缩量就会更大，因此免疫系统正常运作以防止挛缩很重要。此外，当前模型是第一个将免疫系统与最终收缩相结合的基于细胞的模型。
