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Recently the first chemical systems which show the amplification of enantiometric excess (ee) was found. Inspired by these experiments, we propose a few chemical reaction models in a closed system. The reactions consist of autocatalytic…

Biological Physics · Physics 2007-05-23 Yukio Saito , Hiroyuki Hyuga

We solve numerically a kinetic model of chiral polymerization in systems closed to matter and energy flow, paying special emphasis to its ability to amplify the small initial enantiomeric excesses due to the internal and unavoidable…

Quantitative Methods · Quantitative Biology 2017-03-15 Celia Blanco , David Hochberg

We investigate the possibility that prebiotic homochirality can be achieved exclusively through chiral-selective reaction rate parameters without any other explicit mechanism for chiral bias. Specifically, we examine an open network of…

Biomolecules · Quantitative Biology 2015-06-03 Marcelo Gleiser , Bradley J. Nelson , Sara Imari Walker

A cluster growth model is proposed to study chiral symmetry breaking in stirred crystallization from an achiral element. Achiral monomers are assumed to coagulate to form chiral clusters from dimers to hexamers. Due to the stirring, the…

Other Condensed Matter · Physics 2007-07-20 Yukio Saito , Hiroyuki Hyuga

A nonlinear autocatalysis of a chiral substance is shown to achieve homochirality in a closed system, if the back-reaction is included. Asymmetry in the concentration of two enantiomers or the enantiometric excess increases due to the…

Chemical Physics · Physics 2008-11-26 Yukio Saito , Hiroyuki Hyuga

To understand the chirality selection in the biological organic system, a simple lattice model of chemical reaction with molecular diffusion is proposed and studied by Monte Carlo simulations. In addition to a simple stochastic process of…

Chemical Physics · Physics 2007-07-20 Yukio Saito , Hiroyuki Hyuga

Biological organisms often have elongated, flexible structures with some degree of chirality in their bodies or movements. In nature, these organisms frequently take advantage of self-encapsulation mechanisms that create folded…

Soft Condensed Matter · Physics 2024-10-04 Lorenzo Caprini , Iman Abdoli , Umberto Marini Bettolo Marconi , Hartmut Löwen

Homochirality, i.e. the dominance across all living matter of one enantiomer over the other among chiral molecules, is thought to be a key step in the emergence of life. Building on ideas put forward by Frank and many others, we proposed…

Statistical Mechanics · Physics 2022-02-23 Gabin Laurent , David Lacoste , Pierre Gaspard

Living systems have evolved to efficiently consume available energy sources using an elaborate circuitry of chemical reactions which, puzzlingly, bear a strict restriction to asymmetric chiral configurations. While autocatalysis is known to…

Chemical Physics · Physics 2022-05-25 William D. Piñeros , Tsvi Tlusty

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…

Biological Physics · Physics 2009-11-10 Jonathan AD Wattis , Peter V. Coveney

Molecular chirality is critical to biochemical function, but it is unknown when chiral selectivity first became important in the evolutionary transition from geochemistry to biochemistry during the emergence of life. Here, we identify key…

Molecular Networks · Quantitative Biology 2025-05-05 John F. Malloy , Camerian Millsaps , Kamesh Narasimhan , Louie Slocombe , Cole Mathis , Leroy Cronin , Sara Imari Walker

Chirality is an intriguing property of certain molecules, materials or artificial nanostructures, which allows them to interact with the spin angular momentum of the impinging light field. Due to their chiral geometry, they can distinguish…

Optics · Physics 2016-11-03 Peter Banzer , Pawel Wozniak , Uwe Mick , Israel De Leon , Robert W. Boyd

The stability and conservation properties of a recently proposed polymerization model are studied. The achiral (racemic) solution is linearly unstable once the relevant control parameter (here the fidelity of the catalyst) exceeds a…

Biomolecules · Quantitative Biology 2007-05-23 A. Brandenburg , A. C. Andersen , S. Höfner , M. Nilsson

A thermodynamic argument has been developed which relates the chirality of the constituents of a mixture of enantiomers to the system excess volume, and thereby to its Gibbs free enthalpy. A specific connection is shown between the excess…

Statistical Mechanics · Physics 2007-05-23 J. F. Kenney , Ulrich K. Deiters

The selection of a single molecular handedness, or homochirality across all living matter, is a mystery in the origin of life. Frank's seminal model showed in the fifties how chiral symmetry breaking can occur in non-equilibrium chemical…

Statistical Mechanics · Physics 2021-01-25 Gabin Laurent , David Lacoste , Pierre Gaspard

A key open question in the study of life is the origin of biomolecular homochirality: almost every life-form on Earth has exclusively levorotary amino acids and dextrorotary sugars. Will the same handedness be preferred if life is found…

Biomolecules · Quantitative Biology 2015-06-04 Marcelo Gleiser , Sara Imari Walker

A recently proposed model of non-autocatalytic reactions in dipeptide reactions leading to spontaneous symmetry breaking and homochirality is examined. The model is governed by activation, polymerization, epimerization and depolymerization…

Biomolecules · Quantitative Biology 2007-11-01 Axel Brandenburg , Harry J. Lehto , Kirsi M. Lehto

Biomolecules that constitute life on Earth are chiral, but the precise mechanism by which homochirality emerged remains a mystery. In this work it is demonstrated that reactions of radical pairs, where one of the radical electron spins is…

Chemical Physics · Physics 2025-08-08 Thomas P Fay

To study the establishment of homochirality observed in the crystal growth experiment of chiral molecules from a solution under grinding, we extend the lattice gas model of crystal growth as follows. A lattice site can be occupied by a…

Statistical Mechanics · Physics 2009-11-13 Yukio Saito , Hiroyuki Hyuga

Diffusion effect on chirality selection in a two-dimensional reaction-diffusion model is studied by the Monte Carlo simulation. The model consists of achiral reactants A which turn into either of the chiral products, R or S, in a solvent of…

Statistical Mechanics · Physics 2007-07-20 Ryo Shibata , Yukio Saito , Hiroyuki Hyuga
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