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From Discrete to Continuous and Back: Abstractions and Mesoscopic Phenomena in Cells
Departmental Papers (ESE)
  • Ádám M Halász, University of Pennsylvania
  • A. Agung Julius, University of Pennsylvania
  • George J Pappas, University of Pennsylvania
  • R. Vijay Kumar, University of Pennsylvania
Abstract

We discuss the interplay between stochasticity and multistability in bio-molecular networks. The resulting cell-level stochastic behavior reflects the fundamentally discrete and random nature of the underlying molecular processes. These ideas are illustrated on the well studied example of the lac operon. We first describe the switching behavior predicted by a differential-equation based model and then show how cell-level stochastic behavior emerges. Finally we point out that the observed macroscopic behavior may not be enough to determine both the dynamic and stochastic parameters.

Document Type
Journal Article
Date of this Version
5-28-2008
Comments
Copyright YEAR IEEE. Reprinted from Proceedings of the 9th International Workshop on Discrete Event Systems, pages 269-274.

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Citation Information
Ádám M Halász, A. Agung Julius, George J Pappas and R. Vijay Kumar. "From Discrete to Continuous and Back: Abstractions and Mesoscopic Phenomena in Cells" (2008)
Available at: http://works.bepress.com/george_pappas/146/