Physics – Condensed Matter
Scientific paper
2003-01-21
Physics
Condensed Matter
11 pages, 11 figures. Submitted to PNAS
Scientific paper
10.1103/PhysRevLett.92.038101
We study theoretically the in vitro evolution of a DNA sequence by binding to a transcription factor. Using a simple model of protein-DNA binding and available binding constants for the Mnt protein, we perform large-scale, realistic simulations of evolution starting from a single DNA sequence. We identify different parameter regimes characterized by distinct evolutionary behaviors. For each regime we find analytical estimates which agree well with simulation results. For small population sizes, the DNA evolutional path is a random walk on a smooth landscape. While for large population sizes, the evolution dynamics can be well described by a mean-field theory. We also study how the details of the DNA-protein interaction affect the evolution.
Kloster Morten
Tang Changbing
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