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The limited roles of autocatalysis and enantiomeric cross inhibition in achieving homochirality in dilute systems

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arxiv 1903.07855 v2 pith:SOGQ3DEQ submitted 2019-03-19 q-bio.BM

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keywords autocatalysishomochiralitywithoutachievingcross-inhibitionenantiomericreactionsteps
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To understand the effects of fluctuations on achieving homochirality, we employ a Monte-Carlo method where autocatalysis and enantiomeric cross-inhibition, as well as racemization and deracemization reactions are included. The results of earlier work either without autocatalysis or without cross-inhibition are reproduced. Bifurcation diagrams and the dependencies of the number of reaction steps on parameters are studied. In systems with 30,000 molecules, for example, up to a billion reaction steps may be needed to achieve homochirality without autocatalysis.

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