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Homochiral growth through enantiomeric cross-inhibition

A. Brandenburg·A. C. Andersen·S. Höfner·M. Nilsson
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Abstract

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 critical value. The growth rate is calculated for different fidelity parameters and cross-inhibition rates. A chirality parameter is defined and shown to be conserved by the nonlinear terms of the model. Finally, a truncated version of the model is used to derive a set of two ordinary differential equations and it is argued that these equations are more realistic than those used in earlier models of that form.

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A. Brandenburg, A. C. Andersen, S. Höfner, M. Nilsson. 2004-04-26. Homochiral growth through enantiomeric cross-inhibition. https://doi.org/10.1007/s11084-005-0656-9

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