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Cross-diffusion induced patterns for a single-step enzymatic reaction
Communications Physics ( IF 5.5 ) Pub Date : 2020-09-22 , DOI: 10.1038/s42005-020-00427-w
Giovanni Giunta , Hamid Seyed-Allaei , Ulrich Gerland

Several different enzymes display an apparent diffusion coefficient that increases with the concentration of their substrate. Moreover, their motion becomes directed in substrate gradients. Currently, there are several competing models for these transport dynamics. Here, we use mathematical modeling and numerical simulations to analyze whether the enzymatic reactions can generate a significant feedback from enzyme transport onto the substrate profile. We find that this feedback can generate spontaneous spatial patterns in the enzyme distribution, with just a single-step catalytic reaction. However, patterns are formed only for a subclass of transport models. For such models, nonspecific repulsive interactions between the enzyme and the substrate, or attractive interactions between the enzyme and the product, cause the enzyme to accumulate in regions of low substrate concentration. Reactions then amplify local substrate and product fluctuations, causing enzymes to further accumulate where substrate is low. Experimental analysis of this pattern formation process could discriminate between different transport models.



中文翻译:

交叉扩散诱导的单步酶促反应模式

几种不同的酶显示出明显的扩散系数,随其底物浓度的增加而增加。此外,它们的运动指向衬底梯度。当前,针对这些运输动力学存在几种竞争模型。在这里,我们使用数学建模和数值模拟来分析酶促反应是否可以从酶运输到底物轮廓上产生显着的反馈。我们发现这种反馈可以在酶的分布中产生自发的空间分布,仅需一步催化反应即可。但是,仅针对运输模型的子类形成模式。对于此类模型,酶与底物之间的非特异性排斥相互作用,或酶与产物之间的有吸引力的相互作用,导致酶在底物浓度低的区域积聚。然后,反应会放大局部底物和产物的波动,从而导致酶在底物含量较低的地方进一步积累。这种模式形成过程的实验分析可以区分不同的运输模型。

更新日期:2020-09-22
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