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arXiv 0907.0073q-bio.BMq-bio.QM
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观察蛋白质生物物理性质介观出现的标准

Criteria to observe mesoscopic emergence of protein biophysical properties

Anirban Banerji, Indira Ghosh

摘要:

蛋白质通常用一些通用指标(质量分形维数、表面分形维数、熵、焓、自由能、疏水性、变性温度等)来描述,其本质上是统计性的。这些一般性的指数来自于蛋白质的不同原子之间无数的(固有的上下文依赖性和时间依赖性)相互作用。人们对这些原子间相互作用的性质以及它们引起的原子涨落的变化进行了许多研究。然而,我们仍然不知道,在给定的背景下,在给定的持续时间内,宏观生物物理性质如何从累积的原子间相互作用中出现。这个问题的确切答案将涉及弥合纳米尺度可区分的原子描述和宏观不可区分的(统计)测量之间的差距,沿着观察的介观尺度。在这项工作中,我们提出了一个计算可实现的数学模型,推导出一组相互作用(波动)原子的宏观生物物理性质的出现的可观察性的表达式。由于大多数上述相互作用是非线性的性质,可观测性标准推导出线性和非线性描述的蛋白质内部。从理论和实用的角度来看,这项研究在21世纪的生物学中具有极其重要的意义。

英文摘要:

Proteins are regularly described with some general indices (mass fractal dimension, surface fractal dimension, entropy, enthalpy, free energies, hydrophobicity, denaturation temperature etc..), which are inherently statistical in nature. These general indices emerge from innumerable (innately context-dependent and time-dependent) interactions between various atoms of a protein. Many a studies have been performed on the nature of these inter-atomic interactions and the change of profile of atomic fluctuations that they cause. However, we still do not know, under a given context, for a given duration of time, how does a macroscopic biophysical property emerge from the cumulative inter-atomic interactions. An exact answer to that question will involve bridging the gap between nano-scale distinguishable atomic description and macroscopic indistinguishable (statistical) measures, along the mesoscopic scale of observation. In this work we propose a computationally implementable mathematical model that derives expressions for observability of emergence of a macroscopic biophysical property from a set of interacting (fluctuating) atoms. Since most of the aforementioned interactions are non-linear in nature; observability criteria are derived for both linear and the non-linear descriptions of protein interior. The study assumes paramount importance in 21st-century biology, from both the theoretical and practical utilitarian point of view.

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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