2015 Annual Science Report

University of Illinois at Urbana-Champaign Reporting  |  JAN 2015 – DEC 2015

Project 1: The Origin of Homochirality

Project Summary

Small biological molecules are frequently chiral, meaning that they can exist in both right-handed and left-handed forms. The two forms are identical except for the mirror symmetry that they break, and so would be expected to participate in chemical reactions in a way that does not depend on their chirality. When assembled into polymers, the resulting chains would therefore be expected to consist of a mixture of right and left-handed forms of the small molecules, a so-called racemic state. The surprise is that this is not true for the molecules of life. All chiral amino acids used by biology are left-handed and all chiral sugars are right-handed. That is, they are homochiral. This project is concerned with trying to find an explanation for this ubiquitous phenomenon, a universal aspect of all life on Earth. The specific question that is addressed is whether homochirality is a generic phenomenon of living systems, one that would be anticipated to arise if life were found elsewhere in the universe. Or is it instead some frozen accident related to the specific way that life arose on Earth? This question has been hotly debated in one form or other for over a hundred years, certainly since the time that Lord Kelvin coined the term “homochirality”. It is important for the Illinois NASA Astrobiology Institute for Universal Biology, because it is one of the two most evident universal phenomena of all life on Earth, the other being the universal genetic code. The phenomenon is important for another reason. The magnitude of the homochirality is 100%. It is not a slight imbalance in the abundance of right-handed vs. left-handed molecules. Thus, it is an unambiguous signal to measure, either from biological samples or remotely due to the effects of homochirality on the scattering of light waves. Specifically, homochiral solutions or suspensions will affect the polarization plane of electromagnetic waves, and so can readily be detected through optical means. The most exciting possibility in this regard is that if homochirality can be firmly established as a biological phenomenon, then its presence can be used as a biosignature of non-terrestrial life.

4 Institutions
3 Teams
1 Publication
0 Field Sites
Field Sites

Project Progress

In 1953, the British physicist Sir Charles Frank proposed that homochirality could be a consequence of chemical autocatalysis, presumably occuring very early on in the emergence of chemical evolution. He introduced a model in which the R and L-handed enantiomers of a chiral molecule are autocatalytically produced from an achiral molecule A through reactions

A + R —> 2R A + L —>2L

and consumed in a reaction that can be written in steady state as

R + L —> 2A

Frank’s model, as well as all others that followed with various degrees of elaboration, can be written down as a set of ordinary differential equations, and reduced to a single equation for the chiral order parameter w = (R-L)/(R+L) of the form

dw/dt = F(t) w (1-w^2)

showing that the chiral symmetry breaking is associated with the nonlinear term arising not from autocatalysis, but instead the chiral inhibition. The chiral inhibition reaction does not have evident biochemical relevance to early life, so the emergence of homochirality in Frank’s model is not in fact due to autocatalysis.

The question that we have been able to address with a significant technical advance is: can autocatalysis on its own, without supplementary reactions that force homochirality, generate homochirality? To tackle this issue, we formulated a fully stochastic version of Frank’s model, but with two significant emphases. First, because modern life is a far-from-equilibrium process, we have treated a system that is maintained in a non-equilibrium steady state by an external driving force. This could be, for example, the chemical and thermal gradients in the vicinity of a hydrothermal vent. Secondly, we have assumed that as life evolved to greater and greater levels of complexity, the efficiency of autocatalytic production compared to non-autocatalytic production increased.

The resulting stochastic model has some remarkable mathematical properties. In equilibrium it only has a racemic or achiral state as a solution. Nevertheless, the non-equilibrium system can exhibit fluctuations in chirality which drive the system towards a state where the fluctuations themselves become less important. The fluctuations can be shown to vanish as the system becomes more and more chiral. Thus, in the end, a fully homochiral state arises, not because it minimises the free energy in some potential, but because it minimises the effects of noisy fluctuations. This mechanism for homochirality really only uses two universal attributes of life: its far from equilibrium nature and the existence of death (ie. the decay of reactants).

Our main calculation was done assuming a well-mixed ecosystem, but we were able to solve mathematically the case of two coupled “patches”, and using computer simulation, a fully spatially-extended system in one or two dimensions. We discovered that our mechanism for homochirality is stable to spatial fluctuations, and in fact the dynamics leading to the emergence of one homochiral state over another is in the compact directed percolation universality class, familiar from phase transition theory.

Figure 1. Computer simulation of the emergence of homochirality. The vertical axis represents space, here in only one dimension for simplicity, while the horizontal axis is time. The colors represent the degree of chirality, with red being (e.g.) right and blue being (e.g.) left. At the beginning the mixture has equal numbers of right and left-handed molecules, and during the time evolution, the red and blue phases compete over the spatial domain, resulting in the eventual dominance of the blue chiral phase. Image courtesy of Nigel Goldenfeld, University of Illinois at Urbana-Champaign

The mechanism proposed differs in significant ways from other variants of Frank’s model in the literature, apart from the way in which the calculation was done. The most important is that the noise-induced mechanism does not require an initial enantiomeric excess to start the chiral symmetry breaking process. Copy number fluctuations of the molecules are all that are needed. Thus, the non-equilibrium dynamics of autocatalysis alone, without other model-specific choices of nonlinearity, is enough to generate homochirality at the 100% level. Because the assumptions of the theory are so general, using properties that are likely to be generic aspects of life, we can conclude that chiral symmetry breaking is a biosignature possessed by all life based on autocatalysis, replication and far-from-equilibrium dynamics.

  • PROJECT INVESTIGATORS:
    Nigel Goldenfeld Nigel Goldenfeld
    Project Investigator
  • PROJECT MEMBERS:
    Elbert Branscomb
    Co-Investigator

    Lee DeVille
    Co-Investigator

    Tommaso Biancalani
    Collaborator

    Farshid Jafarpour
    Collaborator

  • RELATED OBJECTIVES:
    Objective 1.2
    Indirect and direct astronomical observations of extrasolar habitable planets.

    Objective 3.2
    Origins and evolution of functional biomolecules

    Objective 3.4
    Origins of cellularity and protobiological systems

    Objective 4.1
    Earth's early biosphere.

    Objective 4.2
    Production of complex life.

    Objective 7.1
    Biosignatures to be sought in Solar System materials

    Objective 7.2
    Biosignatures to be sought in nearby planetary systems