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.
T2 - 2006 American Control Conference
Y2 - 14 June 2006 through 16 June 2006
ER -