title: Quantum-like model of diauxie in Escherichia coli: operational description of precultivation effect.
abstract: In this paper we apply the quantum-like (QL) approach to microbiology to present an operational description of the complex process of diauxie in Escherichia coli. We take as guaranteed that dynamics in cells is adaptive, i.e., it depends crucially on the microbiological context. This very general assumption is sufficient to appeal to quantum and more general QL probabilistic models. The next step is to find the operational representation - by operators in complex Hilbert space (as in quantum physics). To determine QL operators, we used the statistical data from Inada et al. (1996). To improve the QL-representation, we needed better experimental data. Corresponding experiments were recently done by two of the authors and in this paper we use these new data. In these data we found that bio-chemical context of precultivation of populations of E. coli plays a crucial role in E. coli preferences with respect to sugars. Hence, the form of the QL operator representing lactose operon activation also depends crucially on precultivation. One of our results is decomposition of the lactose operon activation operator to extract the factor determined by precultivation. The QL operational approach developed in this paper can be used not only for description of the process of diauxie in E. coli, but also other processes of gene expression. However, new experimental statistical data are demanded.
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
mesh_terms: D003198:Computer Simulation; D003657:Decision Making; D001330:Electronic Data Processing; D057075:Enzyme Assays; D004926:Escherichia coli / Q000254:growth & development* / Q000378:metabolism; D008954:Models, Biological; D011336:Probability; D011789:Quantum Theory; D049490:Systems Biology; D001616:beta-Galactosidase / Q000378:metabolism
chemical_list: D001616:beta-Galactosidase