Nonlinear mathematical models for the origin of asymmetry in biological molecules.

Origins of Life
A R Hochstim

Abstract

The origin of chemical chirality is probably associated with a difference in the initial concentrations of two separate populations of primeval organic molecules and possible even two types of primeval organisms and amplified by nonlinear kinetic processes leading to the death of one population. This theory, as originally developed by F. C. Frank of the University of Bristol, is reviewed in this paper with additional derivations, discussions and generalizations. The possible effect of asymmetry in the rate constant is compared to the role of statistical fluctuations, and it is shown, that within the simple model investigated here that the role of statistical fluctuations is much more important for the death of one isomer. In the unlikely absence of any fluctuations, the non-linear kinetic processes amplify the asymmetry in the rate constant and lead to the death of one enanthiomorph. The role of spatial diffusion is discussed, and it is shown that in the presence of a local excess of one enanthiomorph this excess would have spread in space and grown, destroying the opposite enanthiomorph. If the total population of both enanthiomorphs was exactly composed of equal parts of both types, but local fluctuation increased one type at...Continue Reading

References

Jan 1, 1975·Origins of Life·W K Park, A R Hochstim
May 3, 1972·Annals of the New York Academy of Sciences·C Ponnamperuma
Aug 1, 1953·Biochimica Et Biophysica Acta·F C FRANK
Feb 1, 1954·Biochimica Et Biophysica Acta·E HAVINGA
Aug 30, 1957·Annals of the New York Academy of Sciences·G WALD
Jul 31, 1959·Science·S L MILLER, H C UREY
Apr 1, 1952·Proceedings of the National Academy of Sciences of the United States of America·H C Urey
Aug 1, 1963·Proceedings of the National Academy of Sciences of the United States of America·A R Hochstim

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Citations

Dec 1, 1977·Origins of Life·L Keszthelyi
Mar 1, 1981·Origins of Life·K L KovacsV J Goldanskii
Oct 1, 1977·Origins of Life·J Czégé, C S Fajszi
Jan 1, 1991·Origins of Life and Evolution of the Biosphere : the Journal of the International Society for the Study of the Origin of Life·W A Bonner
Jun 23, 2006·Origins of Life and Evolution of the Biosphere : the Journal of the International Society for the Study of the Origin of Life·Peter Schmidt
Nov 17, 2009·Origins of Life and Evolution of the Biosphere : the Journal of the International Society for the Study of the Origin of Life·Michael MaukschSvetlana B Tsogoeva
Nov 1, 1995·Quarterly Reviews of Biophysics·L Keszthelyi
Nov 1, 2013·Chemical Reviews·Kepa Ruiz-MirazoAndrés de la Escosura
Oct 23, 2008·Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry·Michael Mauksch, Svetlana B Tsogoeva
Jun 10, 2008·Chirality·Werner Fuss
Oct 27, 2007·Chirality·Dilip Kondepudi, Lauren Kapcha
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David Hochberg
Jul 1, 1988·Journal of Clinical Psychology·N C DoxeyJ M Lacroix
Jul 1, 1979·Origins of Life·L Morozov

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