Department of Biological Sciences, Columbia University, New York, NY 10027, USA.
Proc Natl Acad Sci U S A. 2012 Sep 4;109(36):14416-21. doi: 10.1073/pnas.1212167109. Epub 2012 Aug 15.
The elastic restoring force of tissues must be able to operate over the very wide range of loading rates experienced by living organisms. It is surprising that even the fastest events involving animal muscle tissues do not surpass a few hundred hertz. We propose that this limit is set in part by the elastic dynamics of tethered proteins extending and relaxing under a changing load. Here we study the elastic dynamics of tethered proteins using a fast force spectrometer with sub-millisecond time resolution, combined with Brownian and Molecular Dynamics simulations. We show that the act of tethering a polypeptide to an object, an inseparable part of protein elasticity in vivo and in experimental setups, greatly reduces the attempt frequency with which the protein samples its free energy. Indeed, our data shows that a tethered polypeptide can traverse its free-energy landscape with a surprisingly low effective diffusion coefficient D(eff) ~ 1,200 nm(2)/s. By contrast, our Molecular Dynamics simulations show that diffusion of an isolated protein under force occurs at D(eff) ~ 10(8) nm(2)/s. This discrepancy is attributed to the drag force caused by the tethering object. From the physiological time scales of tissue elasticity, we calculate that tethered elastic proteins equilibrate in vivo with D(eff) ~ 10(4)-10(6) nm(2)/s which is two to four orders magnitude smaller than the values measured for untethered proteins in bulk.
组织的弹性恢复力必须能够在生物体经历的非常宽的加载速率范围内起作用。令人惊讶的是,即使是涉及动物肌肉组织的最快事件也不会超过几百赫兹。我们提出,这个限制部分是由在不断变化的负载下延伸和松弛的束缚蛋白的弹性动力学设定的。在这里,我们使用具有亚毫秒时间分辨率的快速力谱仪,结合布朗运动和分子动力学模拟,研究了束缚蛋白的弹性动力学。我们表明,将多肽束缚到物体上的行为——这是体内和实验设置中蛋白质弹性的不可分割部分——大大降低了蛋白质尝试采样其自由能的尝试频率。事实上,我们的数据表明,束缚的多肽可以以惊人的低有效扩散系数 D(eff)1,200 nm(2)/s 穿越其自由能景观。相比之下,我们的分子动力学模拟表明,在力下扩散的孤立蛋白质的扩散发生在 D(eff)10(8) nm(2)/s。这种差异归因于束缚物体引起的阻力。从组织弹性的生理时间尺度来看,我们计算出体内束缚的弹性蛋白的平衡扩散系数为 D(eff)~10(4)-10(6) nm(2)/s,比在体外用 bulk 测量的未束缚蛋白的值小两个到四个数量级。