3 papers
q-bio.PE2017
Rigorous mathematical analysis of the quasispecies model: From Manfred Eigen to the recent developments
Alexander S. Bratus, Artem S. Novozhilov, Yuri S. Semenov
We review the major progress in the rigorous analysis of the classical quasispecies model that usually comes in two related but different forms: the Eigen model and the Crow--Kimur…
q-bio.PE2017
Generalized Quasispecies Model on Finite Metric Spaces: Isometry Groups and Spectral Properties of Evolutionary Matrices
Yuri S. Semenov, Artem S. Novozhilov
The quasispecies model introduced by Eigen in 1971 has close connections with the isometry group of the space of binary sequences relative to the Hamming distance metric. Generaliz…
q-bio.PE2017
Adaptive Fitness Landscape for Replicator Systems: To Maximize or not to Maximize
Alexander S. Bratus, Artem S. Novozhilov, Yuri S. Semenov
Sewall Wright's adaptive landscape metaphor penetrates a significant part of evolutionary thinking. Supplemented with Fisher's fundamental theorem of natural selection and Kimura's…