论文标题
为了解释克罗恩病的片段性质，一种图灵机制
A Turing mechanism in order to explain the patchy nature of Crohn's disease
论文作者
论文摘要
克罗恩病是一种炎症性肠病（IBD），尚不清楚。特别是，与其他IBD不同，肠的发炎部分损害了组织的深层，不是连续的，而是通过整个胃肠道分离和分布，显示出斑驳的炎症模式。在本文中，我们引入了一种玩具模型，可以解释这种模式的外观。我们考虑一个涉及细菌和吞噬细胞的反应扩散系统，并证明在某些条件下，该系统可能会重现激活剂抑制剂动态，从而导致Turing-type型不稳定性。换句话说，我们证明存在稳定的固定解决方案，这些解决方案在空间上是周期性的，并且不会及时消失。我们还提出了一组参数，该参数表现出这种现象，并将其与文献中发现的现实参数进行比较。据我们所知，这是第一次在炎症模型中研究图灵模式。
Crohn's disease is an inflammatory bowel disease (IBD) that is not well understood. In particular, unlike other IBDs, the inflamed parts of the intestine compromise deep layers of the tissue and are not continuous but separated and distributed through the whole gastrointestinal tract, displaying a patchy inflammatory pattern. In the present paper, we introduce a toy-model which might explain the appearance of such patterns. We consider a reaction-diffusion system involving bacteria and phagocyte and prove that, under certain conditions, this system might reproduce an activator-inhibitor dynamic leading to the occurrence of Turing-type instabilities. In other words, we prove the existence of stable stationary solutions that are spatially periodic and do not vanish in time. We also propose a set of parameters for which the system exhibits such phenomena and compare it with realistic parameters found in the literature. This is the first time, as far as we know, that a Turing pattern is investigated in inflammatory models.
