A Toy Model for the Generation of Homochirality during Polymerization

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.     

Homochirality and stereospecific activity: evolutionary aspects

The problem discussed in this paper is the connection between the unique property of biopolymers (proteins, DNA and RNA), i.e. homochirality, and their main functional property, i.e. self-replication. Our approach is based on an analysis of the conditions for the origination of the mechanism of self-replication of chiral polymers. It is demonstrated that self-replication could originate only on the basis of homochiral structures, possessing stereospecific (enzymatic) activity. It is also shown that complete breaking of the mirror symmetry of the organic medium is required both at the stage of polymeric takeover and at the stage of formation of structures possessing stereospecific activity. This requirement is satisfied only in the framework of the mechanism of spontaneous symmetry breaking i.e. the mechanism of non-equilibrium phase transition from the racemic state of the organic medium to the chirally pure one. The results obtained suggest that homochirality is a necessary condition for the origination of biological specificity and plays a fundamental role in the formation of structures capable of self-replication.     

Imitating Prebiotic Homochirality on Earth

We show how the amino acids needed on prebiotic earth in their homochiral L form can be produced by a reaction of L-alpha-methyl amino acids—that have been identified in the Murchison meteorite—with alpha-keto acids under credible prebiotic conditions. When they are simply heated together they perform a process of decarboxylative transamination but with almost no chiral transfer, and that in the wrong direction, producing D-amino acids from the L-alpha-methyl amino acids. With copper ion a square planar complex with two of the reaction intermediates is formed, and now there is the desired L to L transformation, producing small enantioexcesses of the normal L-amino acids. We also show how these can be amplified, not by making more of the L form but by increasing its concentration in water solution. The process can start with a miniscule excess and in one step generate water solutions with L/D ratios in the over 90% region. Kinetic processes can exceed the results from equilibria. We have also examined such amplifications with ribonucleosides, and have shown that initial modest excesses of the D-nucleosides can be amplified to afford water solutions with D to L ratios in the high 90’s. We have shown that the homochiral compound has two effects on the solubility of the racemate. On one hand it decreases the solubility of the racemate by its role in the solubility product, as a theoretical equation predicts. On the other hand, it increases the solubility of the racemate by changing the nature of the solvent, acting as a cosolvent with the water. This explains why the amplification, while large, is not as large as the simple theoretical equation predicts. Thus when credible examples are produced where small enantioexcesses of D-ribose are created under credible prebiotic conditions, the prerequisites for the RNA world will have been exemplified.     

Homochirality and long-range transfer in biological systems.

It has been shown that the chiral purity of biomacromolecules has important biological significance not only from the standpoint of lock-and-key stereocomplementarity, but also as a basis for long-range communication in biosystems. An explicit demonstration is given for the case of proton transfer along the hydrogen-bonded chain that is formed by amino acids containing OH groups. It is found that the replacement of the L-amino acid residue by the D-isomer in a peptide chain suppresses proton transport through the hydrogen bond network.     

Homochirality in Bio-Organic Systems and Glyceraldehyde in the Formose Reaction

The article explores the possibility that the ordering of bio-organic molecules into a homochiral assembly at the origin of life was performed not in aqueous solutions of amino acids or related materials but in racemic glyceraldehyde in the “formose” reaction at high concentration and temperature. Based on physical chemical evidence and computer simulations of condensed fluids, it is argued that the isomerization kinetics of glyceraldehyde is responszible of the symmetry break and the ordering of molecules into homochiral domains.     

Asymmetric Spatiotemporal Evolution of Prebiotic Homochirality

The role of asymmetry on the evolution of prebiotic homochirality is investigated in the context of autocatalytic polymerization reaction networks. A model featuring enantiometric cross-inhibition and chiral bias is used to study the diffusion equations controlling the spatiotemporal development of left and right-handed domains. Bounds on the chiral bias are obtained based on present-day constraints on the emergence of life on early Earth. The viability of biasing mechanisms such as weak neutral currents and circularly polarized UV light is discussed. The results can be applied to any hypothetical planetary platform.     

Prebiotic Homochirality as a Critical Phenomenon

The development of prebiotic homochirality on early-Earth or another planetary platform may be viewed as a critical phenomenon. It is shown, in the context of spatio-temporal polymerization reaction networks, that environmental effects – be them temperature surges or other external disruptions – may destroy any net chirality previously produced. In order to understand the emergence of prebiotic homochirality it is important to model the coupling of polymerization reaction networks to different planetary environments. *Presented at: National Workshop on Astrobiology: Search for Life in the Solar System, Capri, Italy, 26 to 28 October, 2005.     

Astronomical Sources of Circularly Polarized Light and the Origin of Homochirality

Possible astronomical sources of ultraviolet circularly polarized light(UVCPL) which might be responsible for enantiomeric selection in interstellarorganic molecules are considered, Synchrotron radiation from magnetic neutronstars has been suggested as a possible source of UVCPL. However, synchrotronradiation in these situations is not predicted to be strongly circularlypolarized. Very few such sources show optical synchrotron radiation and in thefew that do circular polarization has not been observed. Magnetic white dwarfsand white dwarf binaries (Polars) can be highly circularly polarized but anyeffect on molecular clouds and star formation regions must rely on rare chance encounters. Recent observations show that substantial levels of circularpolarization are present in reflection nebulae in star formation regions. Thismechanism produces polarized light exactly when and where it is needed inregions where star formation is occurring and organic molecules are known to be present.     

Dissociation in a Polymerization Model of Homochirality

A fully self-contained model of homochirality is presented that contains the effects of both polymerization and dissociation. The dissociation fragments are assumed to replenish the substrate from which new monomers can grow and undergo new polymerization. The mean length of isotactic polymers is found to grow slowly with the normalized total number of corresponding building blocks. Alternatively, if one assumes that the dissociation fragments themselves can polymerize further, then this corresponds to a strong source of short polymers, and an unrealistically short average length of only 3. By contrast, without dissociation, isotactic polymers becomes infinitely long.     

The Role of Supernova Neutrinos on Molecular Homochirality

Electroweak parity violating interaction between supernova (SN) neutrinos and electrons of a simple chiral molecule is studied related to the origin of molecular homochirality. Appearance of supernova remnants inside molecular clouds favours the interaction of SN-neutrinos with interstellar molecules, leading to a energetic difference between the two enantiomers of the order of 10^–5 eV. This energetic difference is closer to the thermic energy of the interstellar medium, so molecular homochirality could be enhanced in molecular clouds containing supernova remnants inside it due to neutrino interaction.     

Question 4: Short Remarks About the Origin of Homochirality

These short remarks about the origin of biological homochirality are focused on the questions related to the origin and selection of homochiral polymers and the broken mirror symmetry. They are important questions, but still equally unanswered, since the answers, I believe, closely relate to the evolutionary paradigm we accept. The prebiotic evolutionary paradigm, as it seems to me, should be based on idea of "progressive evolution of structural and functional complexity," and the typical combinatorial constraints similar to the error catastrophe, which come into being due to the very complexity, must not appear here.     

Homochirality of Biomolecules: Counter-Arguments Against Critical Notes

Three recently published critical papersby Bonner and coworkers on the extraterrestrial origin of thehomochirality of biomolecules and the amplification of tinyenantiomeric excess are discussed. The presented arguments showthe difficulties involved in circularly polarized u.v. andvisible synchrotron radiation from neutron stars, in their ratioto non circularly polarized light and in racemization of theproducts. Attention is called upon another mechanism forproduction of extraterrestrial handedness based on Salam'scondensation theory and on the recent experimental demonstrationof the enantioselective magnetochiral photochemistry. Arguments,as well as experiments, point out that tiny enantiomeric excessesmight be amplified via the Yamagata accumulation principlequestioned by Bonner.     

Question 1: Peptide Nucleic Acids and the Origin and Homochirality of Life

The possibilities of pseudo peptide DNA mimics like PNA (peptide nucleic acid) having a role for the prebiotic origin of life prior to an RNA world is discussed. In particular a scenario is proposed in which protocells with an achiral genetic material through several generations stepwise is converted into a chiral genetic material, e.g., by incorporation of RNA units. Provided that a sufficiently large sequence space is occupied, a selection process based on catalytic function in which a single cell (first common ancestor) has a definite evolutionary advantage, selection of this cell would by contingency also lock it into homochirality. Presented at: International School of Complexity – 4th Course: Basic Questions on the Origins of Life; “Ettore Majorana” Foundation and Centre for Scientific Culture, Erice, Italy, 1–6 October 2006.