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Volumn 112, Issue 16, 2008, Pages 5098-5104

Re-examination of reversibility in reaction models for the spontaneous emergence of homochirality

Author keywords

[No Author keywords available]

Indexed keywords

ADDITION REACTIONS; CHEMICAL REACTIONS; LEAD; PHOTOCHEMICAL REACTIONS; RHENIUM;

EID: 45549100653     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp7118586     Document Type: Article
Times cited : (55)

References (46)
  • 7
    • 0000296912 scopus 로고    scopus 로고
    • We are indebted to an anonymous reviewer for pointing out references to several of the stochastic models in Ref. 1. The referee also noted that the possible importance of the stochastic approach for autocatalytic systems was pointed out as early as 1940: M. J. Delbrück J. Chem. Phys. 1940, 8, 120
    • We are indebted to an anonymous reviewer for pointing out references to several of the stochastic models in Ref. 1. The referee also noted that the possible importance of the stochastic approach for autocatalytic systems was pointed out as early as 1940: M. J. Delbrück J. Chem. Phys. 1940, 8, 120.
  • 23
    • 38449111671 scopus 로고    scopus 로고
    • A further report showing simulations of a reversible version of the original Frank model has recently been published: Mauksch, M, Tsogoeva, S. B, Wei, S, Martynova, I. M. Chirality 2007, 19, 816-825
    • A further report showing simulations of a reversible version of the original Frank model has recently been published: Mauksch, M.; Tsogoeva, S. B.; Wei, S.; Martynova, I. M. Chirality 2007, 19, 816-825.
  • 26
    • 1942533597 scopus 로고    scopus 로고
    • (c) Blackmond, D. G. PNAS 2004, 101, 5732;
    • (2004) PNAS , vol.101 , pp. 5732
    • Blackmond, D.G.1
  • 28
    • 84906372361 scopus 로고    scopus 로고
    • Other reports of kinetic simulations of the Soai reaction have also provided mathematical models that are not in agreement with experimentally observed behavior, which involves stochastic formation of homochiral and heterochiral dimers. See, for example: Rivera Islas, J, Lavabre, D, Grevy, J.-M, Hernandez Lamoneda, R, Rojas Cabrera, H, Micheau, J.-C, Buhse, T. PNAS 2005, 102, 13743;
    • Other reports of kinetic simulations of the Soai reaction have also provided mathematical models that are not in agreement with experimentally observed behavior, which involves stochastic formation of homochiral and heterochiral dimers. See, for example: Rivera Islas, J.; Lavabre, D.; Grevy, J.-M.; Hernandez Lamoneda, R.; Rojas Cabrera, H.: Micheau, J.-C.; Buhse, T. PNAS 2005, 102, 13743;
  • 29
    • 33645866803 scopus 로고    scopus 로고
    • for a critique of these studies, see ref 10 in Blackmond, D. G. Tetr. Asymm. 2006, 17, 584-589
    • for a critique of these studies, see ref 10 in Blackmond, D. G. Tetr. Asymm. 2006, 17, 584-589.
  • 30
    • 0001273302 scopus 로고
    • (a) Tolman, R. C. PNAS 1925, 11, 436;
    • (1925) PNAS , vol.11 , pp. 436
    • Tolman, R.C.1
  • 34
    • 84906386495 scopus 로고    scopus 로고
    • Enantiomeric excess in this system is defined as: ee = 100·Σ D - Σ L/Σ D+ Σ L Σ D = [D] + [DL] + [LD] + D* + 2·[DD] Σ L= [L] + [DL] + [LD] + L* + 2·[LL]
    • Enantiomeric excess in this system is defined as: ee = 100·Σ D - Σ L/Σ D+ Σ L Σ D = [D] + [DL] + [LD] + D* + 2·[DD] Σ L= [L] + [DL] + [LD] + L* + 2·[LL]
  • 39
    • 84906401041 scopus 로고    scopus 로고
    • We are very much indebted to an anonymous referee who pointed out the relation between the network of Scheme 4 and the Onsager triangle reaction
    • We are very much indebted to an anonymous referee who pointed out the relation between the network of Scheme 4 and the Onsager triangle reaction.
  • 41
    • 84906386493 scopus 로고    scopus 로고
    • It should be noted that even with photochemical activation, the antagonistic model presented in ref 1 la does not lead inexorably to the spontaneous emergence of homochirality as suggested by the authors, but rather to a nonracemic steady-state that may in fact give a depletion rather than enhancement in ee, depending on the system's rate constants and initial ee value
    • It should be noted that even with photochemical activation, the "antagonistic" model presented in ref 1 la does not lead inexorably to the "spontaneous emergence of homochirality" as suggested by the authors, but rather to a nonracemic steady-state that may in fact give a depletion rather than enhancement in ee, depending on the system's rate constants and initial ee value.
  • 43
    • 17144440803 scopus 로고
    • (a) Careri, G.; Wyman, J. PNAS 1984, 81, 4386-4388;
    • (1984) PNAS , vol.81 , pp. 4386-4388
    • Careri, G.1    Wyman, J.2
  • 44
  • 45
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    • (c) Wyman, J. PNAS 1975, 72, 3983-3987.
    • (1975) PNAS , vol.72 , pp. 3983-3987
    • Wyman, J.1
  • 46
    • 85142190932 scopus 로고    scopus 로고
    • Modelling was carried out using Copasi simulator (official test release 1). (Copyright © 2005 by Pedro Mendes, Virginia Tech Intellectual Properties, Inc. and EML Research, gGmbH. All rights reserved.) www-.copasi.org. In addition, the ordinary differential equations (ODEs) describing the reaction models depicted in Schemes 1 and 3 were solved using Gear's method, which is an implicit, stable, multi-step ODE solver. These results were also cross-validated with those obtained using the commercial software Maple. See also: Hoops. S.; Sahle, S.; Gauges, R.; Lee, C.; Pahle, J.; Simus, N.; Singhal, M.; Xu, L.; Mendes, P.; Kummer, U. Bioinformatics 2006, 22, 3067-74.
    • Modelling was carried out using Copasi simulator (official test release 1). (Copyright © 2005 by Pedro Mendes, Virginia Tech Intellectual Properties, Inc. and EML Research, gGmbH. All rights reserved.) www-.copasi.org. In addition, the ordinary differential equations (ODEs) describing the reaction models depicted in Schemes 1 and 3 were solved using Gear's method, which is an implicit, stable, multi-step ODE solver. These results were also cross-validated with those obtained using the commercial software Maple. See also: Hoops. S.; Sahle, S.; Gauges, R.; Lee, C.; Pahle, J.; Simus, N.; Singhal, M.; Xu, L.; Mendes, P.; Kummer, U. Bioinformatics 2006, 22, 3067-74.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.