TY - GEN
T1 - Local identification of piecewise deterministic models of genetic networks
AU - Cinquemani, Eugenio
AU - Milias-Argeitis, Andreas
AU - Summers, Sean
AU - Lygeros, John
PY - 2009
Y1 - 2009
N2 - We address the identification of genetic networks under stationary conditions. A stochastic hybrid description of the genetic interactions is considered and an approximation of it in stationary conditions is derived. Contrary to traditional structure identification methods based on fitting deterministic models to several perturbed equilibria of the system, we set up an identification strategy which exploits randomness as an inherent perturbation of the system. Estimation of the dynamics of the system from sampled data under stability constraints is then formulated as a convex optimization problem. Numerical results are shown on an artificial genetic network model. While our methods are conceived for the identification of interaction networks, they can as well be applied in the study of general piecewise deterministic systems with randomly switching inputs.
AB - We address the identification of genetic networks under stationary conditions. A stochastic hybrid description of the genetic interactions is considered and an approximation of it in stationary conditions is derived. Contrary to traditional structure identification methods based on fitting deterministic models to several perturbed equilibria of the system, we set up an identification strategy which exploits randomness as an inherent perturbation of the system. Estimation of the dynamics of the system from sampled data under stability constraints is then formulated as a convex optimization problem. Numerical results are shown on an artificial genetic network model. While our methods are conceived for the identification of interaction networks, they can as well be applied in the study of general piecewise deterministic systems with randomly switching inputs.
KW - Convex optimization
KW - Markov processes
KW - Piecewise deterministic systems
KW - Sampled systems
KW - State-space identification
UR - http://www.scopus.com/inward/record.url?scp=67650099388&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-00602-9_8
DO - 10.1007/978-3-642-00602-9_8
M3 - Conference contribution
AN - SCOPUS:67650099388
SN - 9783642006012
VL - 5469
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 105
EP - 119
BT - Hybrid Systems: Computation and Control - 12th International Conference, HSCC 2009, Proceedings
T2 - 12th International Conference on Hybrid Systems: Computation and Control, HSCC 2009
Y2 - 13 April 2009 through 15 April 2009
ER -