论文标题
单步酶促反应的交叉扩散诱导模式
Cross-diffusion induced patterns for a single-step enzymatic reaction
论文作者
论文摘要
几种不同的酶显示出明显的扩散系数，随着其底物浓度的增加。此外，它们的运动被定向在底物梯度中。当前，这些运输动力学有几种相互竞争的模型。在这里，我们分析了酶促反应是否可以从酶转运到底物剖面产生明显的反馈。我们发现，这种反馈可以在酶分布中产生空间模式，只有单步催化反应。但是，仅针对运输模型的子类形成模式。对于此类模型，酶和底物之间的非特异性排斥相互作用会导致酶在低底物浓度的区域中积聚。然后，反应会扩大局部底物波动，从而导致酶进一步积累底物低的位置。对这种模式形成过程的实验分析可以区分不同的运输模型。
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 analyze whether the enzymatic reactions can generate a significant feedback from enzyme transport onto the substrate profile. We find that this feedback can generate 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 cause the enzyme to accumulate in regions of low substrate concentration. Reactions then amplify local substrate fluctuations, causing enzymes to further accumulate where substrate is low. Experimental analysis of this pattern formation process could discriminate between different transport models.
