A solvable model of the genesis of amino-acid sequences via coupled dynamics of folding and slow genetic variation

Details A solvable model of the genesis of amino-acid sequences via coupled dynamics of folding and slow genetic variation A solvable model of the genesis of amino-acid sequences via coupled dynamics of folding and slow genetic variation

2008-02-22

arxiv.org/abs/0802.3380v1

Biology

Quantitative Biology

Biomolecules

51 pages, 13 figures, submitted to J. Phys. A

Scientific paper

10.1088/1751-8113/41/28/285004

We study the coupled dynamics of primary and secondary structure formation (i.e. slow genetic sequence selection and fast folding) in the context of a solvable microscopic model that includes both short-range steric forces and and long-range polarity-driven forces. Our solution is based on the diagonalization of replicated transfer matrices, and leads in the thermodynamic limit to explicit predictions regarding phase transitions and phase diagrams at genetic equilibrium. The predicted phenomenology allows for natural physical interpretations, and finds satisfactory support in numerical simulations.

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