Literature DB >> 14995497

Eigen model as a quantum spin chain: exact dynamics.

David Saakian1, Chin-Kun Hu.   

Abstract

We map the Eigen model of biological evolution [Naturwissenschaften 58, 465 (1971)] into a quantum spin model with non-Hermitian Hamiltonian. Based on such a connection, we derive exact relaxation periods for the Eigen model to approach static energy landscape from various initial conditions. We also study a simple case of dynamic fitness function.

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Year:  2004        PMID： 14995497     DOI： 10.1103/PhysRevE.69.021913

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN： 1539-3755


  6 in total

1.  Quasispecies theory for multiple-peak fitness landscapes.

Authors:  David B Saakian; E Muñoz; Chin-Kun Hu; M W Deem
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2006-04-11

2.  Exact solution of the Eigen model with general fitness functions and degradation rates.

Authors:  David B Saakian; Chin-Kun Hu
Journal:  Proc Natl Acad Sci U S A       Date:  2006-03-20       Impact factor: 11.205

3.  Quasispecies theory for evolution of modularity.

Authors:  Jeong-Man Park; Liang Ren Niestemski; Michael W Deem
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2015-01-28

4.  Lethal mutants and truncated selection together solve a paradox of the origin of life.

Authors:  David B Saakian; Christof K Biebricher; Chin-Kun Hu
Journal:  PLoS One       Date:  2011-07-26       Impact factor: 3.240

5.  Thermodynamic basis for the emergence of genomes during prebiotic evolution.

Authors:  Hyung-June Woo; Ravi Vijaya Satya; Jaques Reifman
Journal:  PLoS Comput Biol       Date:  2012-05-31       Impact factor: 4.475

6.  The rich phase structure of a mutator model.

Authors:  David B Saakian; Tatiana Yakushkina; Chin-Kun Hu
Journal:  Sci Rep       Date:  2016-10-10       Impact factor: 4.379
  6 in total

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