Work

Eigen model as a quantum spin chain: Exact dynamics

Year: 2004

Type: article

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.

Source: Physical Review E

DOI: 10.1103/physreve.69.021913

Authors: David Saakian, Chin-Kun Hu

Institutions: A. Alikhanyan National Laboratory, Institute of Physics, Academia Sinica

Language: English

Topic: Evolution and Genetic Dynamics

Subfield: Genetics

Field: Biochemistry, Genetics and Molecular Biology

Domain: Life Sciences

Open Access status: green

OpenAlex ID: W2000671984

FWCI: 2.356

Cites: 11

Cited by: 68

Related to: 10