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A novel transient phase kinetic analysis of the fractional modification of monocyclic enzyme cascades

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Abstract

In this paper we analyse the transient phase, i.e., the time course, of the fractional modification of monocyclic enzyme cascades with a more complete realistic definition for fractional modification as the fraction of the original enzyme converted into the two forms of modified protein, and not only into the free modified protein. This same definition was recently used by our group in an analysis of only its steady state. Hence this contribution extends the above-mentioned one as it includes the transient phase, which provides much more information than a study into only the steady state. The fractional modification definition used herein is more complete than the definitions employed in previous works by other authors and ourselves, which only considered the fraction of molecules of the original enzyme converted into the free modified enzyme. By assuming a minimal set of linearising assumptions, we obtained a general transient phase equation for fractional modification. We also obtained the transient phase equation by assuming rapid equilibrium in the reversible steps involved in the scheme or the reaction. Both equations are valid for the four cyclic enzyme cascades studied herein. Their applicability and goodness were tested by the simulated time progress curves obtained by numerical integration. Finally, a kinetic data analysis is suggested.

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Acknowledgments

This work was partially supported a Grant of the Univesidad de Castilla-La Mancha (Ayuda a Grupos) Number GI200142842 and by the Spanish Ministry of Economy and Competitiveness (MINECO) Project No. BFU2013-44095-P (cofunded with FEDER funds, EU). C.V. Ortiz-Ruiz has a MEC-FPU fellowship (AP2010-4300).

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Authors and Affiliations

  1. University Hospital of San Juan, Alicante, Spain

    Maria D. Masia

  2. Department of Physical Chemistry, Technical School of Industrial Engineering, University of Castilla-La Mancha, Albacete, Spain

    Manuela Garcia-Moreno, Maria L. Amo-Saus & Ramon Varon

  3. Department of Electrical Engineering, Electronics, Automation and Communications, Technical School of Industrial Engineering, University of Castilla-La Mancha, Albacete, Spain

    Francisco Garcia-Sevilla

  4. Department of Agricultural Technology and Science and Genetics, Faculty of Medicine, University of Castilla-La Mancha, Albacete, Spain

    Julio Escribano

  5. Nursing Department, School of Nursing, University of Castilla-La Mancha, Albacete, Spain

    Milagros Molina-Alarcon

  6. Department of Biochemistry and Molecular Biology–A, University of Murcia, Murcia, Spain

    Carmen V. Ortiz-Ruiz

Authors
  1. Maria D. Masia
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  2. Manuela Garcia-Moreno
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  3. Francisco Garcia-Sevilla
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  4. Julio Escribano
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  5. Milagros Molina-Alarcon
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  6. Maria L. Amo-Saus
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  7. Carmen V. Ortiz-Ruiz
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  8. Ramon Varon
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Corresponding author

Correspondence to Francisco Garcia-Sevilla.

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Deceased: Ramon Varon.

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Masia, M.D., Garcia-Moreno, M., Garcia-Sevilla, F. et al. A novel transient phase kinetic analysis of the fractional modification of monocyclic enzyme cascades. J Math Chem 54, 1952–1972 (2016). https://doi.org/10.1007/s10910-016-0659-y

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  • DOI: https://doi.org/10.1007/s10910-016-0659-y

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