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arXiv 1111.2323q-bio.BM
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蛋白质聚集的统计力学方法

A Statistical Mechanical Approach to Protein Aggregation

John S. Schreck, Jian-Min Yuan

AI总结:

提出一种基于 Potts 模型和 Zimm-Bragg 型转移矩阵的蛋白质聚集统计力学理论,可精确求解成核与相图,并在 Aβ(1-40) 和 Curli 原纤维上得到实验验证。

摘要:

我们利用统计力学方法发展了一种聚集理论。具有多个结构层次的复杂聚集系统的一个例子是肽/蛋白质自组装。蛋白质聚集问题对于理解和治疗神经退行性疾病,以及对于将生物大分子开发为新型材料都十分重要。我们用蛋白质单体之间、蛋白质与溶剂之间以及蛋白质丝之间的相互作用能来写出有效哈密顿量。巨配分函数可以用类似 Zimm-Bragg 的转移矩阵表示,该矩阵可被精确计算,并且所有热力学性质都可以由此得到。我们从使用 Potts 模型对蛋白质单体进行二态和三态描述开始,这些模型可以推广到包含 q 个状态,同时仍保持该模型可精确求解的特性。我们关注 n×N 晶格系统,其对应于在某些真实原纤维中观察到的有序结构。我们获得了关于成核过程和相图的结果,其中诸如聚集体的折叠片含量等蛋白质性质被表示为晶格上蛋白质数量以及蛋白质间或界面相互作用能的函数。我们已将我们的方法应用于 Aβ(1-40) 和 Curli 原纤维,并获得了与实验高度吻合的结果。

英文摘要:

We develop a theory of aggregation using statistical mechanical methods. An example of a complicated aggregation system with several levels of structures is peptide/protein self-assembly. The problem of protein aggregation is important for the understanding and treatment of neurodegenerative diseases and also for the development of bio-macromolecules as new materials. We write the effective Hamiltonian in terms of interaction energies between protein monomers, protein and solvent, as well as between protein filaments. The grand partition function can be expressed in terms of a Zimm-Bragg-like transfer matrix, which is calculated exactly and all thermodynamic properties can be obtained. We start with two-state and three-state descriptions of protein monomers using Potts models that can be generalized to include q-states, for which the exactly solvable feature of the model remains. We focus on n X N lattice systems, corresponding to the ordered structures observed in some real fibrils. We have obtained results on nucleation processes and phase diagrams, in which a protein property such as the sheet content of aggregates is expressed as a function of the number of proteins on the lattice and inter-protein or interfacial interaction energies. We have applied our methods to Aβ(1-40) and Curli fibrils and obtained results in good agreement with experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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