The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
A Toy Model for the Generation of Homochirality during Polymerization
Abstract
This article examines a toy model of polymerization which though artificial and unphysical has some interesting chiral features. Two key elements, enantiomeric cross inhibition and chiral feedback, are shown to lead to bifurcation, so that the end product can become homo-chiral. We find that the bifurcation is driven by the cross-inhibition but is not strongly dependant on its strength, which for perfect feedback fidelity mainly determines the time scale. We also find that bifurcation with a high degree of chiral polarization remains even when the fidelity of the chiral feedback is substantially less than unity. For small values of the feedback fidelity the polarization drops below unity and at a critical value falls sharply to zero in a 'phase transition'. The value at which this happens depends on the cross-inhibition in a complex way. By comparing the behaviour of polymers differing only in their final length, N, we find that the bifurcation process is enhanced as N increases. The symmetry breaking which we find is clearly a particular manifestation of general bifurcation theory. In addition it has the specific interest that, at least in our model, long homochiral polymers are possible even in the presence of substantial enantiomeric cross-inhibition.
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In the citing paper
“The required conditions are sufficiently high values of the kinetic constants associated with enantioselective production of the enantiomers and cross-inhibition.”
From Possible chemical and physical scenarios towards biological homochirality (2022) · cites this paper as [569]
In the citing paper
“By introducing a slight difference in the initial concentration values of the (R) and (S) enantiomers, bifurcation 304 readily occurs, i.e. polymers embedding a single enantiomer are formed.”
From Possible chemical and physical scenarios towards biological homochirality (2022) · cites this paper as [569]
Citations
Cites
Asymmetric autocatalysis and amplification of enantiomeric excess of a chiral molecule
Soai, K., Shibata, T., Morioka, H., & Choji, K. (1995) · Nature · doi:10.1038/378767a0 · Cited by 1,085
On spontaneous asymmetric synthesis
Frank, F. C. (1953) · Biochimica et Biophysica Acta · doi:10.1016/0006-3002(53)90082-1 · Cited by 905
Chiral selection in poly(C)-directed synthesis of oligo(G)
Joyce, G. F., Visser, G. M., van Boeckel, C. A. A., van Boom, J. H., Orgel, L. E., & van Westrenen, J. (1984) · Nature · doi:10.1038/310602a0 · Cited by 398
Mirror symmetry breaking at the molecular level.
Avetisov, V, & Goldanskii, V (1996) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.93.21.11435 · Cited by 206
Chiral Symmetry Breaking in Nonequilibrium Systems
Kondepudi, D. K., & Nelson, G. W. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1023 · Cited by 190
Handedness, Origin of Life and Evolution
Аветисов, В. А., Kuz'min, V. V., & Gol'danskiĭ, V. I. (1991) · Physics Today · doi:10.1063/1.881264 · Cited by 118
Spontaneous breaking of mirror symmetry in nature and the origin of life
Gol'danskiĭ, V. I., & Kuz'min, V. V. (1989) · Soviet Physics Uspekhi · doi:10.1070/pu1989v032n01abeh002674 · Cited by 94
Racemization and the origin of optically active organic compounds in living organisms
Bada, J. L., & Miller, S. L. (1987) · Biosystems · doi:10.1016/0303-2647(87)90016-5 · Cited by 83
Spontaneous Mirror Symmetry Breaking in Nature and the Origin of Life
Gol'danskiĭ, V. I., & Kuz'min, V. V. (1988) · Zeitschrift für Physikalische Chemie · doi:10.1515/zpch-1988-26932 · Cited by 49
Chiral symmetry breaking in nonequilibrium chemical systems: Time scales for chiral selection
Kondepudi, D. K., & Nelson, G. W. (1984) · Physics Letters A · doi:10.1016/0375-9601(84)90320-7 · Cited by 40
Research works printed but not linked: 2
- Avetisov, V. A. and Goldanskii, V. I.: 1997, Kinetic Aspects of Enantioselective Processes, Chem. Phys. Reports 16, 1399-1426.
- Goldanskii, V. I. et al.: 1987, On the Decisive Role of Chiral Purity in the Origination of the Biosphere and in Its Possible Destruction, Comments Mol. Cell. Biophys. 4, 79.
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The Search for Chiral Asymmetry as a Potential Biosignature in our Solar System
Glavin, D. P., Burton, A. S., Elsila, J. E., Aponte, J. C., & Dworkin, J. P. (2020) · Chemical Reviews · doi:10.1021/acs.chemrev.9b00474 · Cited by 293
Crystalline Architectures as Templates of Relevance to the Origins of Homochirality
Weissbuch, I., & Lahav, M. (2011) · Chemical Reviews · doi:10.1021/cr1002479 · Cited by 284
Pathways for the formation and evolution of peptides in prebiotic environments
Danger, G., Plasson, R., & Pascal, R. (2012) · Chemical Society Reviews · doi:10.1039/c2cs35064e · Cited by 209
Possible chemical and physical scenarios towards biological homochirality
Sallembien, Q., Bouteiller, L., Crassous, J., & Raynal, M. (2022) · Chemical Society Reviews · doi:10.1039/d1cs01179k · Cited by 186
Plasson, R., Kondepudi, D. K., Bersini, H., Commeyras, A., & Asakura, K. (2007) · Chirality · doi:10.1002/chir.20440 · Cited by 172
Metadata
- Authors
- Sandars, P. G. H.
- Affiliations
- University of Oxford (GB)
- Corresponding author
- Sandars, P. G. H.
- Venue
- Origins of life and evolution of the biosphere
- Published
- 2003-12
- Volume
- 33
- Issue
- 6
- Pages
- 575-587
- ISSN
- 0169-6149 (ISSN-L)
- 1573-0875
- OpenAlex
- W1654101816
- Cited by
- 134
- References
- 21
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 2 · 2023: 5 · 2022: 8 · 2021: 5 · 2020: 6 · 2019: 3 · 2018: 3 · 2017: 5 · 2016: 6 · 2015: 2 · 2014: 3 · 2013: 4 · 2012: 14
- FWCI
- 3.67
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Origins of Life and Evolution of Biospheres (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Origins and Evolution of Life
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › RNA and protein synthesis mechanisms
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Keywords
- homochirality, origin of homochirality, polymerization, bifurcation, symmetry breaking, phase transitions, polymer length, toy model
- MeSH terms
- Mathematics, Models, Chemical, Molecular Conformation, Polymers, Stereoisomerism
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