title: Quantum-like model for the adaptive dynamics of the genetic regulation of E. coli's metabolism of glucose/lactose.
abstract: We developed a quantum-like model describing the gene regulation of glucose/lactose metabolism in a bacterium, Escherichia coli. Our quantum-like model can be considered as a kind of the operational formalism for microbiology and genetics. Instead of trying to describe processes in a cell in the very detail, we propose a formal operator description. Such a description may be very useful in situation in which the detailed description of processes is impossible or extremely complicated. We analyze statistical data obtained from experiments, and we compute the degree of E. coli's preference within adaptive dynamics. It is known that there are several types of E. coli characterized by the metabolic system. We demonstrate that the same type of E. coli can be described by the well determined operators; we find invariant operator quantities characterizing each type. Such invariant quantities can be calculated from the obtained statistical data.
authors.affiliation: Department of Information Sciences, Tokyo University of Science, Yamasaki 2641, Noda-shi, Chiba, 278-8510 Japan.
authors.forename: Masanari
authors.initials: M
authors.lastname: Asano
authors.forename: Irina
authors.initials: I
authors.lastname: Basieva
authors.forename: Andrei
authors.initials: A
authors.lastname: Khrennikov
authors.forename: Masanori
authors.initials: M
authors.lastname: Ohya
authors.forename: Yoshiharu
authors.initials: Y
authors.lastname: Tanaka
authors.forename: Ichiro
authors.initials: I
authors.lastname: Yamato
keywords: Adaptive systems; Glucose/lactose metabolism in Escherichia coli; Lifting; Quantum channel; Quantum operators for glucose/lactose metabolism; Quantum-like operational approach