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Re-epithelialization: advancing epithelium frontier during wound healing

机译:重新上皮化:伤口愈合过程中上皮边界的发展

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摘要

The first function of the skin is to serve as a protective barrier against the environment. Its loss of integrity as a result of injury or illness may lead to a major disability and the first goal of healing is wound closure involving many biological processes for repair and tissue regeneration. In vivo wound healing has four phases, one of them being the migration of the healthy epithelium surrounding the wound in the direction of the injury in order to cover it. Here, we present a theoretical model of the re-epithelialization phase driven by chemotaxis for a circular wound. This model takes into account the diffusion of chemoattractants both in the wound and the neighbouring tissue, the uptake of these molecules by the surface receptors of epithelial cells, the migration of the neighbour epithelium, the tension and proliferation at the wound border. Using a simple Darcy's law for cell migration transforms our biological model into a free-boundary problem, which is analysed in the simplified circular geometry leading to explicit solutions for the closure and making stability analysis possible. It turns out that for realistic wound sizes of the order of centimetres and from experimental data, the re-epithelialization is always an unstable process and the perfect circle cannot be observed, a result confirmed by fully nonlinear simulations and in agreement with experimental observations.
机译:皮肤的首要功能是充当保护环境的屏障。由于受伤或疾病导致的完整性丧失可能导致严重的残疾,而康复的首要目标是伤口闭合,涉及许多生物学过程,以进行修复和组织再生。体内伤口愈合具有四个阶段,其中之一是健康的上皮在伤口方向上向伤口迁移,以覆盖伤口。在这里,我们介绍了由化学趋向性驱动的圆形伤口重新上皮化阶段的理论模型。该模型考虑了趋化因子在伤口和邻近组织中的扩散,上皮细胞表面受体对这些分子的吸收,邻近上皮的迁移,伤口边界处的张力和增殖。使用简单的达西定律进行细胞迁移会将我们的生物学模型转化为自由边界问题,可以通过简化的圆形几何形状对其进行分析,从而得出用于封闭的明确解决方案,并使稳定性分析成为可能。结果表明,对于现实的伤口大小(厘米左右)和实验数据而言,重新上皮化始终是一个不稳定的过程,无法观察到完美的圆,这一结果已通过完全非线性的仿真得到了证实,并与实验观察一致。

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