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Quantum-like model of diauxie in Escherichia coli: operational description of precultivation effect
Tokyo University of Science.
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.ORCID iD: 0000-0002-9857-0938
Tokyo University of Science.
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2012 (English)In: Journal of Theoretical Biology, ISSN 0022-5193, E-ISSN 1095-8541, Vol. 314, 130-137 p.Article in journal (Refereed) Published
Abstract [en]

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 coil. 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 biochemical 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. (C) 2012 Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
2012. Vol. 314, 130-137 p.
Keyword [en]
Diauxie in E. coli, Adaptive dynamics, Operational description, Quantum(-like) formalism, Operon erator in complex Hilbert space
National Category
Mathematics
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-22788DOI: 10.1016/j.jtbi.2012.08.022ISI: 000310652900013OAI: oai:DiVA.org:lnu-22788DiVA: diva2:576106
Available from: 2012-12-12 Created: 2012-12-12 Last updated: 2016-05-03Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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