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arXiv 1202.0713physics.bio-phcond-mat.softcond-mat.stat-mechq-bio.BM
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蛋白质与隐式或显式溶剂相互作用的主方程

Master equation of proteins in interaction with implicit or explicit solvent

Olivier Collet

摘要:

在晶格模型上对蛋白质折叠的理论研究依赖于这样一个假设,即氨基酸附近的水在整个折叠过程中始终处于热平衡。在这个框架内,它一直被认为是平衡外的属性,如折叠时间,可以等同地从一个平均超过一个集合的轨迹的蛋白质与水描述eitherexplanary或通过一个平均场的方法进行评估。为了批判性地评估这一假设,我们建立了一个蛋白质与水分子相互作用的二维晶格模型,该模型可以采用各种构象。这种微观描述的溶剂已被用来进一步推导出一个有效的模型,平均超过所有的自由度的溶剂。在热平衡下,这两种描述是严格等价的,预测了相同的蛋白质折叠构象。该模型允许使用与两种溶剂描述相关的主方程精确计算一些弛豫性质。与折叠途径相关的动力学模式是显著不同的。在这项工作中,我们证明,一个有效的描述溶剂不能正确地描述蛋白质的折叠途径。微观溶剂模型,正确地描述了微观路线,似乎是唯一的候选人研究折叠动力学。

英文摘要:

Theoretical studies of protein folding on lattice models relie on the assumption that water close to amino-acids is always in thermal equilibrium all along the folding pathway. Within this framework, it has always been considered that out-of-equilibrium properties, such as folding time, could be evaluated equivalently from an averaging over a collection of trajectories of the protein with water described eitherexplicitly or through a mean-field approach. To critically assess this hypothesis, we built a two-dimensional lattice model of a protein in interaction with water molecules that can adopt a wide range of conformations. This microscopic description of the solvent has been used further to derive an effective model by averaging over all the degrees of freedom of the solvent. At thermal equilbrium, the two descriptions are rigourously equivalent, predicting the same folded conformation of the protein. The model allows exact calculations of some relaxation properties using the master equations associated to both solvent descriptions. The kinetic patterns associated to the folding pathways are remarkably different. In this work we demonstrate, that an effective description of the solvent can not described properly the folding pathway of a protein. The microscopic solvent model, that describes correctly the microscopic routes, appears to be the only candidate to study folding kinetics.

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