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Chain dynamical theories of protein folding.

机译:蛋白质折叠的链动力学理论。

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Completely microscopic theories of protein folding must take into account chain dynamics. The energy landscape description of protein folding accommodates two rather distinct behaviors of the polypeptide chain: the glassy dynamics expected for heteropolymers with random interactions and the organized dynamics expected for minimally frustrated proteins that fold rapidly on a funneled landscape. The chain dynamical phenomena relevant to both these extremes are studied in this thesis. First, we derive a mode-coupling theory for the dynamics of a random heteropolymer and study the dynamical glass transition signaled by a violation of the fluctuation-dissipation theorem. Next, we develop a variational theory for the smooth free energy surface of minimally frustrated proteins. In this theory, ensembles of structures along an average folding route (identified by the stationary points in the free energy surface) are characterized by the local Debye-Waller factor for each residue about its native position. The description of the folding dynamics of minimally frustrated proteins is completed by considering the chain dynamics of crossing barriers on the resulting free energy profile. We choose the lambda-repressor protein as a specific example to illustrate the model, but address the interesting polymer physics that influence free energy profiles and barrier crossing dynamics. Direct observation of chain dynamics experimentally involves measuring the fluorescence quenching between individual pairs of monomers. As a first step to providing the theory for this, a variational formalism is developed to study diffusion influenced reactions (easily extended to model intrachain quenching in polymers) and applied to simple one-dimensional problems in order to evaluate the method. Lastly, we investigate how functioning proteins that bind from the unfolded state exploit protein folding to speed their function.
机译:蛋白质折叠的完全微观理论必须考虑链动力学。蛋白质折叠的能态描述适应了多肽链的两种截然不同的行为:预期具有随机相互作用的杂聚物的玻璃态动力学,以及在通道构架上快速折叠的最小受挫蛋白的预期的有组织动力学。本文研究了与这两个极端有关的链动力学现象。首先,我们推导了一种无规杂聚物动力学的模式耦合理论,并研究了违反耗散定理的动态玻璃化转变。接下来,我们为最小程度受挫的蛋白质的光滑自由能表面建立了变分理论。在此理论中,沿平均折叠路径(由自由能表面中的固定点标识)的结构的集合的特征在于每个残基在其原始位置附近的局部Debye-Waller因子。对最小受挫蛋白折叠动力学的描述是通过考虑所产生的自由能分布图上交叉势垒的链动力学来完成的。我们选择λ阻遏蛋白作为一个特定的例子来说明该模型,但是要解决有趣的影响自由能分布和势垒穿越动力学的高分子物理学。直接观察链动力学的实验涉及测量单体对之间的荧光猝灭。作为为此提供理论的第一步,开发了一种变分形式学来研究扩散影响的反应(很容易扩展到聚合物中链内淬灭的模型),并应用于简单的一维问题以评估该方法。最后,我们研究与未折叠状态结合的功能蛋白如何利用蛋白折叠来加快其功能。

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