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DISORDERED POLYMERS

机译:无序聚合物

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A single polymer macromolecule is considered with disorder types such as branches, knots, and heterogeneous sequences of chemical units. In all cases, simple theoretical approaches are employed to gain useful physical insights. For branched polymers, a simple Flory-type theory is described by means of which the difference between the universality classes for molecules with quenched and annealed branches is demonstrated. For knots, another Flory-type theory is suggested to describe the swelling and/or collapse of a quenched topology ring or the size distribution for the annealed case. To consider heteropolymers, the Random Energy Model borrowed from the spin glass theory is systematically employed. This allows a simple yet rigorous description of both the freezing transition of a random sequence globule and the use of the canonical ensemble for designing sequences with energy-optimized ground state conformation. Along with the analytical theory, computer tests for the freezing and design processes are discussed. The sequence design scheme is shown to yield a specific prediction concerning the character of correlations in protein sequences. Statistical tests confirming this prediction are described.
机译:单个聚合物大分子被认为具有无序类型,例如分支,结和化学单元的异质序列。在所有情况下,都采用简单的理论方法来获得有用的物理见解。对于支化聚合物,描述了一种简单的弗洛里型理论,通过该理论证明了具有淬灭和退火支链的分子的通用性类别之间的差异。对于结,建议使用另一种弗洛里理论来描述淬火拓扑环的膨胀和/或塌陷或退火情况的尺寸分布。为了考虑杂聚物,系统地采用了自旋玻璃理论中借鉴的随机能量模型。这允许对随机序列小球的冻结转变和规范合奏用于设计具有能量优化基态构象的序列进行简单而严格的描述。连同分析理论,讨论了冻结和设计过程的计算机测试。序列设计方案显示出产生有关蛋白质序列相关性特征的特定预测。描述确认该预测的统计测试。

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