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Biophysical Journal 86:1282-1292 (2004)
© 2004 The Biophysical Society

Influence of Catabolite Repression and Inducer Exclusion on the Bistable Behavior of the lac Operon

Moisés Santillán * and Michael C. Mackey * {dagger}

* Centre for Nonlinear Dynamics, and {dagger} Departments of Physiology, Physics, and Mathematics, McGill University, H3G 1Y6 Montreal, Quebec, Canada

Correspondence: Address reprint requests to Dr. Moisés Santillán, currently invited researcher at Depto. de Matemáticas, CINVESTAV-IPN. Permanent address: Depto. de Física, Esc. Sup. de Física y Matemáticas, Instituto Politécnico Nacional, Edif. 9, U. P. Zacatenco, 07738 México D. F., México. E-mail: moyo{at}esfm.ipn.

A mathematical model of the lac operon which includes all of the known regulatory mechanisms, including external-glucose-dependent catabolite repression and inducer exclusion, as well as the time delays inherent to transcription and translation, is presented. With this model we investigate the influence of external glucose, by means of catabolite repression and the regulation of lactose uptake, on the bistable behavior of this system.




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