title: Quantum-like model of partially directed evolution.
abstract: The background of this study is that models of the evolution of living systems are based mainly on the evolution of replicators and cannot explain many of the properties of biological systems such as the existence of the sexes, molecular exaptation and others. The purpose of this study is to build a complete model of the evolution of organisms based on a combination of quantum-like models and models based on partial directivity of evolution. We also used optimal control theory for evolution modeling. We found that partial directivity of evolution is necessary for the explanation of the properties of an evolving system such as the stability of evolutionary strategies, aging and death, the presence of the sexes. The proposed model represents a systems approach to the evolution of species and will facilitate the understanding of the evolution and biology as a whole.
authors.affiliation: Ural Federal University, Yekaterinburg, 620002, Mira str. 19, Russia. Electronic address: melkikh2008@rambler.ru.
authors.forename: Alexey V
authors.initials: AV
authors.lastname: Melkikh
authors.affiliation: International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, Växjö, S-35195, Sweden. Electronic address: andrei.khrennikov@lnu.se.
authors.forename: Andrei
authors.initials: A
authors.lastname: Khrennikov
mesh_terms: D019143:Evolution, Molecular; D014644:Genetic Variation; D008957:Models, Genetic; D010802:Phylogeny; D011789:Quantum Theory
keywords: Cost functional; Open quantum systems; Partially directed evolution; Quantum-like dynamics; Red Queen; Sex