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手性聚合中的对称性破缺

Symmetry-breaking in chiral polymerisation.

作者信息

Wattis Jonathan A D, Coveney Peter V

机构信息

Theoretical Mechanics, School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK.

出版信息

Orig Life Evol Biosph. 2005 Jun;35(3):243-73. doi: 10.1007/s11084-005-0658-7.

DOI:10.1007/s11084-005-0658-7
PMID:16228641
Abstract

We propose a model for chiral polymerisation and investigate its symmetric and asymmetric solutions. The model has a source species which decays into left- and right-handed types of monomer, each of which can polymerise to form homochiral chains; these chains are susceptible to 'poisoning' by the opposite-handed monomer. Homochiral polymers are assumed to influence the proportion of each type of monomer formed from the precursor. We show that for certain parameter values a positive feedback mechanism makes the symmetric steady-state solution unstable. The kinetics of polymer formation are then analysed in the case where the system starts from zero concentrations of monomers and chains. We show that following a long induction time, extremely large concentrations of polymers are formed for a short time, during this time an asymmetry introduced into the system by a random external perturbation may be massively amplified. The system then approaches one of the steady-state solutions described above.

摘要

我们提出了一种用于手性聚合的模型,并研究了其对称解和非对称解。该模型有一个源物种,它衰变成左旋和右旋两种类型的单体,每种单体都可以聚合成同手性链;这些链易受相反手性单体的“毒害”。假设同手性聚合物会影响由前体形成的每种单体的比例。我们表明,对于某些参数值,正反馈机制会使对称稳态解变得不稳定。然后在系统从单体和链的零浓度开始的情况下分析聚合物形成的动力学。我们表明,经过很长的诱导时间后,会在短时间内形成极高浓度的聚合物,在此期间,由随机外部扰动引入系统的不对称性可能会被大幅放大。然后系统会趋近于上述稳态解之一。

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Emergence of homochirality in large molecular systems.大分子体系中手性的起源。
Proc Natl Acad Sci U S A. 2021 Jan 19;118(3). doi: 10.1073/pnas.2012741118.
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本文引用的文献

1
Asymmetric autocatalysis: product recruitment for the increase in the chiral environment (PRICE).不对称自催化:用于增加手性环境的产物募集(PRICE)。
Chem Soc Rev. 2002 Jul;31(4):211-22. doi: 10.1039/b104169j.
2
Chiral selection in poly(C)-directed synthesis of oligo(G).聚(C)导向的寡聚(G)合成中的手性选择
Nature. 1984;310(5978):602-4. doi: 10.1038/310602a0.
J Biol Phys. 2020 Sep;46(3):283-295. doi: 10.1007/s10867-020-09552-7. Epub 2020 Jul 2.
4
The origin of biological homochirality along with the origin of life.生物手性的起源与生命的起源。
PLoS Comput Biol. 2020 Jan 8;16(1):e1007592. doi: 10.1371/journal.pcbi.1007592. eCollection 2020 Jan.
5
Life is a self-organizing machine driven by the informational cycle of Brillouin.生命是一台自组织的机器,由布里渊的信息循环驱动。
Orig Life Evol Biosph. 2013 Apr;43(2):137-50. doi: 10.1007/s11084-013-9329-2. Epub 2013 Apr 28.
6
Chiral polymerization in open systems from chiral-selective reaction rates.手性选择性反应速率的开放体系中的手性聚合。
Orig Life Evol Biosph. 2012 Aug;42(4):333-46. doi: 10.1007/s11084-012-9274-5. Epub 2012 May 19.
7
Mathematical models of the homochiralisation of crystals by grinding.晶体研磨手性化的数学模型。
Orig Life Evol Biosph. 2011 Apr;41(2):133-73. doi: 10.1007/s11084-010-9221-2. Epub 2010 Aug 4.
8
Toward homochiral protocells in noncatalytic peptide systems.非催化肽系统中的同手性原始细胞
Orig Life Evol Biosph. 2009 Oct;39(5):479-93. doi: 10.1007/s11084-009-9166-5. Epub 2009 Apr 16.
9
Punctuated chirality.间断手性
Orig Life Evol Biosph. 2008 Dec;38(6):499-508. doi: 10.1007/s11084-008-9147-0. Epub 2008 Oct 8.
10
An extended model for the evolution of prebiotic homochirality: a bottom-up approach to the origin of life.一种用于益生元同手性进化的扩展模型:一种自下而上探索生命起源的方法。
Orig Life Evol Biosph. 2008 Aug;38(4):293-315. doi: 10.1007/s11084-008-9134-5. Epub 2008 May 9.