Journal
PHYSICAL REVIEW E
Volume 79, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.79.041905
Keywords
evolution (biological); nonlinear dynamical systems; phase diagrams; probability; statistics
Categories
Funding
- Volkswagenstiftung grant
- U. S. Defense Advanced Research Projects Agency DARPA [HR00110510057]
- National Science Council in Taiwan [NSC 96-2911-M001-003-MY3]
- National Center for Theoretical Sciences in Taiwan
- Academia Sinica (Taiwan) [AS-95-TP-A07]
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Using methods of statistical physics, we present rigorous theoretical calculations of Eigen's quasispecies theory with the truncated fitness landscape which dramatically limits the available sequence space of information carriers. As the mutation rate is increased from small values to large values, one can observe three phases: the first (I) selective (also known as ferromagnetic) phase, the second (II) intermediate phase with some residual order, and the third (III) completely randomized (also known as paramagnetic) phase. We calculate the phase diagram for these phases and the concentration of information carriers in the master sequence (also known as peak configuration) x(0) and other classes of information carriers. As the phase point moves across the boundary between phase I and phase II, x(0) changes continuously; as the phase point moves across the boundary between phase II and phase III, x(0) has a large change. Our results are applicable for the general case of a fitness landscape.
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