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Chaos / Volume 21 / Issue 4 / FOCUS ISSUE: NONLINEAR AND STOCHASTIC PHYSICS IN BIOLOGY

Chaos 21, 047521 (2011); http://dx.doi.org/10.1063/1.3660159 (8 pages)

Logical stochastic resonance with correlated internal and external noises in a synthetic biological logic block

Anna Dari1, Behnam Kia2, Adi R. Bulsara3, and William L. Ditto3

1School of Biological and Health Systems Engineering, Arizona State University, Tempe, Arizona 85287-9709, USA
2School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, Arizona 85287-5706, USA
3SPAWAR-Pacific Code 71000, 53560 Hull Street, San Diego, California 92152-5001, USA

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(Received 8 August 2011; accepted 21 October 2011; published online 29 December 2011)

Following the advent of synthetic biology, several gene networks have been engineered to emulate digital devices, with the ability to program cells for different applications. In this work, we adapt the concept of logical stochastic resonance to a synthetic gene network derived from a bacteriophage λ. The intriguing results of this study show that it is possible to build a biological logic block that can emulate or switch from the AND to the OR gate functionalities through externally tuning the system parameters. Moreover, this behavior and the robustness of the logic gate are underpinned by the presence of an optimal amount of random fluctuations. We extend our earlier work in this field, by taking into account the effects of correlated external (additive) and internal (multiplicative or state-dependent) noise. Results obtained through analytical calculations as well as numerical simulations are presented.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. THE DETERMINISTIC MODEL
  3. UNCORRELATED NOISES
  4. CORRELATED NOISES
  5. CONCLUSIONS

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KEYWORDS and PACS

Keywords

biomolecular electronics, fluctuations, genetics, logic gates, microorganisms, molecular biophysics, numerical analysis, random noise, stochastic processes

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3660159

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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