Homochiral growth through enantiomeric cross-inhibition

Details Homochiral growth through enantiomeric cross-inhibition Homochiral growth through enantiomeric cross-inhibition

2004-01-27

arxiv.org/abs/q-bio/0401036v2

Orig. Life Evol. Biosph. 35, 225-241 (2005)

Biology

Quantitative Biology

Biomolecules

20 pages, 6 figures, Orig. Life Evol. Biosph. (accepted)

Scientific paper

10.1007/s11084-005-0656-9

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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