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Expressions for the Fractional Modification in Different Monocyclic Enzyme Cascade Systems: Analysis of their Validity Tested by Numerical Integration

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Abstract

This paper presents the derivation, under a minimal set of assumptions, of a general expression for the steady-state fractional modification of an interconvertible protein involved in four different schemes of monocyclic enzyme cascade systems. From this general expression we derive, as particular cases, other, simpler expressions by applying additional assumptions and which have, therefore, a smaller range of validity. Some of these particular expressions coincide with those already obtained in previous contributions on individualised analyses. We discuss the relationships between the kinetic parameters and the concentrations needed for the fulfilment of the additional assumptions. The goodness of the analysis was tested by reference to the shape in the steady-state of the simulated time progress curves obtained by numerical integration.

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Authors and Affiliations

  1. Departamento de Química Física, Escuela Politécnica Superior, Universidad de Castilla-La Mancha, Campus Universitario, E-02071, Albacete, Spain

    R. Varón, E. Valero, M. E. Fuentes & M. García-Moreno

  2. Departamento de Enfermería, Escuela Universitaria de Enfermería, Universidad de Castilla La Mancha, E-02071, Albacete, Spain

    M. Molina-Alarcón

  3. Departamento de Bioquímica y Biología Molecular A, Facultad de Biología, Universidad de Murcia, E-30071, Murcia, Spain

    F. García-Cánovas & F. García-Molina

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  1. R. Varón
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  2. E. Valero
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  4. F. García-Cánovas
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  5. F. García-Molina
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  7. M. García-Moreno
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Correspondence to R. Varón.

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Varón, R., Valero, E., Molina-Alarcón, M. et al. Expressions for the Fractional Modification in Different Monocyclic Enzyme Cascade Systems: Analysis of their Validity Tested by Numerical Integration. Bull. Math. Biol. 68, 1461–1493 (2006). https://doi.org/10.1007/s11538-005-9010-7

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  • DOI: https://doi.org/10.1007/s11538-005-9010-7

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