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Analytical Study of the Multiplicity of Regulatory Mechanisms in the Tryptophan Operon

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An Erratum to this article was published on 18 March 2008

An Erratum to this article was published on 18 March 2008

Abstract

In this paper we study the stability of a previously introduced model for the tryptophan operon regulatory pathway. For this, we make use of the second Lyapunov's method. The results obtained for the wild-type and for a couple ofin-silico mutant bacterial strains allow a deeper understanding of the multiplicity of regulatory mechanisms in this operon. In particular, we confirm that enzyme inhibition and transcription attenuation strengthen the system stability, the effect of transcription attenuation being much shorter than that of enzyme inhibition. Furthermore, the analysis here presented provides some insights about how enzyme inhibition affects the system stability.

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Authors and Affiliations

  1. Depto. de Física, Esc. Sup. de Física y Matemáticas, Instituto Politécnico Nacional, Edif. 9, U.P. Zacatenco, 07738, México, D.F, México

    Moisés Santillán

  2. Departamento de Matemáticas, CINVESTAV-IPN, Apartado Postal 14-740, 07000, México, D.F., México

    Eduardo S. Zeronb

  3. Centre for Nonlinear Dynamics, McGill University, H3G 1Y6, Montreal, Quebec, Canada

    Moisés Santillán

Authors
  1. Moisés Santillán
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  2. Eduardo S. Zeronb
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Correspondence to Moisés Santillán.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s11538-007-9284-z

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Santillán, M., Zeronb, E.S. Analytical Study of the Multiplicity of Regulatory Mechanisms in the Tryptophan Operon. Bull. Math. Biol. 68, 343–359 (2006). https://doi.org/10.1007/s11538-005-9025-0

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  • DOI: https://doi.org/10.1007/s11538-005-9025-0

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