Optimal control of context-sensitive probabilistic Boolean networks using integer programming

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2010, Pages 7507-7512

  Kobayashi, Koichi ^a   Hiraishi, Kunihiko ^a  

^a JAPAN ADVANCED INSTITUTE OF SCIENCE AND TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS; OPTIMAL CONTROL SYSTEMS;

BIOLOGICAL NETWORKS; CONTEXT SENSITIVE; GENE REGULATORY NETWORKS; INTEGER LINEAR PROGRAMMING; LARGE-SCALE NETWORK; OPTIMAL CONTROL PROBLEM; PROBABILISTIC BOOLEAN NETWORKS; STATE TRANSITION DIAGRAMS;

INTEGER PROGRAMMING;

EID: 79953152492     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2010.5717793     Document Type: Conference Paper

References (14)

1. T. Akutsu, M. Hayashida, W.-K. Ching, and M. K. Ng, Control of Boolean networks: Hardness results and algorithms for tree structured networks, Journal of Theoretical Biology, vol. 244, pp. 670-679, 2007.
2. T. Akutsu, M. Hayashida, and T. Tamura, Integer Programming-Based Methods for Attractor Detection and Control of Boolean Networks, Proc. Joint 48th IEEE Conf. on Decision and Control and 28th Chinese Control Conf., pp. 5610-5617, 2009.
3. S. Azuma, E. Yanagisawa, and J. Imura, Controllability Analysis of Biosystems Based on Piecewise Affine Systems Approach, IEEE Trans. on Automatic Control, vol. 53, no. 1, pp. 139-152, 2008.
4. T. M. Cavalier, P. M. Pardalos, and A. L. Soyster, Modeling and integer programming techniques applied to propositional calculus, Computer & Operations Research, vol. 17, no. 6, pp. 561-570, 1990.
5. W.-K. Ching, S.-Q. Zhang, Y. Jiao, T. Akutsu, N.-K. Tsing, and A.S. Wong, Optimal control policy for probabilistic Boolean networks with hard constraints, IET Systems Biology, vol. 3, no. 2, pp. 90-99, 2009.
6. A. Datta, A. Choudhary, M. L. Bittner, and E. R. Dougherty, External Control in Markovian Genetic Regulatory Networks, Machine Learning, vol. 52, pp. 169-191, 2003.
7. S. Z. Denic, B. Vasic, C. D. Charalambous, and R. Palanivelu, Robust control of uncertain context-sensitive probabilistic Boolean networks, IET Systems Biology, vol. 3, no. 4, pp. 279-295, 2009.
8. S. A. Kauffman, Metabolic stability and epigenesis in randomly constructed genetic nets, Journal of Theoretical Biology, vol. 22, pp. 437-467, 1969.
9. K. Kobayashi and J. Imura, Minimality of Finite Automata Representation in Hybrid Systems Control, Proc. 10th Intl. Conf. on Hybrid Systems: Computation and Control, LNCS 4416, pp. 343-356, Springer, 2007.
10. K. Kobayashi and K. Hiraishi, An Integer Programming Approach to Control Problems in Probabilistic Boolean Networks, Proc. 2010 American Control Conf., pp. 6710-6715, 2010.
11. C. J. Langmead and S. K. Jha, Symbolic Approaches to Finding Control Strategies in Boolean Networks, Journal of Bioinformatics and Computational Biology, vol. 7, no. 2, pp. 323-338, 2009.
12. R. Pal, A. Datta, M. L. Bittner, and E. R. Dougherty, Intervention in context-sensitive probabilistic Boolean networks, Bioinformatics, vol. 21, pp. 1211-1218, 2005.
13. I. Shmulevich, E. R. Dougherty, S. Kim, and W. Zhang, Probabilistic Boolean networks: a rule-based uncertainty model for gene regulatory networks, Bioinformatics, vol. 18, pp. 261-274, 2002.
14. H. P. Williams, Model building in mathematical programming, 4th ed., John Willey & Sons, Ltd, 1999.