### Abstract

External control of a genetic regulatory network is used for the purpose of avoiding undesirable states, such as those associated with disease. Heretofore, intervention has focused on finite-horizon control, i.e., control over a small number of stages. This paper considers the design of optimal infinite-horizon control for Probabilistic Boolean Networks (PBNs). The stationary policy obtained is independent of time and dependent on the current state. The average-cost-per-stage problem formulation is used to generate the stationary policy for a PBN constructed from melanoma gene-expression data. The results show that the stationary policiy obtained is capable of shifting the probability mass of the stationary distribution from undesirable states to desirable ones.

Original language | English |
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Title of host publication | 2006 IEEE International Workshop on Genomic Signal Processing and Statstics, GENSIPS 2006 |

Pages | 75-76 |

Number of pages | 2 |

DOIs | |

State | Published - Dec 1 2006 |

Event | 2006 IEEE International Workshop on Genomic Signal Processing and Statistics, GENSIPS 2006 - College Station, TX, United States Duration: May 28 2006 → May 30 2006 |

### Publication series

Name | 2006 IEEE International Workshop on Genomic Signal Processing and Statistics, GENSIPS 2006 |
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### Conference

Conference | 2006 IEEE International Workshop on Genomic Signal Processing and Statistics, GENSIPS 2006 |
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Country | United States |

City | College Station, TX |

Period | 05/28/06 → 05/30/06 |

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### Cite this

*2006 IEEE International Workshop on Genomic Signal Processing and Statstics, GENSIPS 2006*(pp. 75-76). [4161784] (2006 IEEE International Workshop on Genomic Signal Processing and Statistics, GENSIPS 2006). https://doi.org/10.1109/GENSIPS.2006.353163