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.
Original language | English |
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Journal | Origins of Life and Evolution of the Biosphere |
Volume | 35 |
Issue number | 3 |
Pages (from-to) | 225-241 |
Number of pages | 17 |
ISSN | 0169-6149 |
DOIs | |
Publication status | Published - 1 Jun 2005 |
Keywords
- DNA polymerization
- Enantiomeric cross-inhibition
- Origin of homochirality