TY - GEN

T1 - Optimal infinite horizon control for probabilistic boolean networks

AU - Pal, Ranadip

AU - Datta, Aniruddha

AU - Dougherty, Edward R.

PY - 2006

Y1 - 2006

N2 - 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 context-sensitive probabilistic Boolean networks (PBNs). It can also be applied to instantaneously random PBNs. The stationary policy obtained is independent of time and dependent on the current state. We concentrate on discounted problems with bounded cost per stage and on average-cost-per-stage problems. These formulations are used to generate stationary policies for a PBN constructed from melanoma gene-expression data. The results show that the stationary policies obtained by the two different formulations are capable of shifting the probability mass of the stationary distribution from undesirable states to desirable ones.

AB - 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 context-sensitive probabilistic Boolean networks (PBNs). It can also be applied to instantaneously random PBNs. The stationary policy obtained is independent of time and dependent on the current state. We concentrate on discounted problems with bounded cost per stage and on average-cost-per-stage problems. These formulations are used to generate stationary policies for a PBN constructed from melanoma gene-expression data. The results show that the stationary policies obtained by the two different formulations are capable of shifting the probability mass of the stationary distribution from undesirable states to desirable ones.

UR - http://www.scopus.com/inward/record.url?scp=34047229739&partnerID=8YFLogxK

U2 - 10.1109/acc.2006.1655433

DO - 10.1109/acc.2006.1655433

M3 - Conference contribution

AN - SCOPUS:34047229739

SN - 1424402107

SN - 9781424402106

T3 - Proceedings of the American Control Conference

SP - 668

EP - 673

BT - Proceedings of the 2006 American Control Conference

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 14 June 2006 through 16 June 2006

ER -