Abstract
Epistasis is a phenomenon of non-additive interactions between genes in determining phenotypes. We investigate how epistasis affects the evolution of the quasi-species model by using the parallel mutation-selection (ParaMuSe) quasi-species evolution model. From the stochastic simulation of the ParaMuSe model, we find that there is a transition between the quasi-species with negative magnetization and the quasi-species with positive magnetization, depending on the peak value of each fitness region. The critical peak value for the transition is found to be larger than the equalpeak case so that even with a higher peak in the positive epistatic region, the quasi-species can be formed in the negative epistatic region. We analyze simulation results by using the coherent state representation for the ParaMuSe model and find that negative epistasis is favored to positive epistasis in forming more diverse quasi-species.
| Original language | English |
|---|---|
| Pages (from-to) | 159-164 |
| Number of pages | 6 |
| Journal | Journal of the Korean Physical Society |
| Volume | 60 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2012 |
Bibliographical note
Funding Information:YGK was supported by a Hanshin University research grant in 2011. JMP was supported by the Catholic Uni- versity of Korea research fund in 2011 and by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science, and Technology (Grant No. 2010-0009936).
Keywords
- Coherent state representation
- Epistasis
- Fitness function
- Quasi-species