A Hybrid EKF and Switching PSO Algorithm for Joint State and Parameter Estimation of Lateral Flow Immunoassay Models
Issue No. 02 - March/April (2012 vol. 9)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TCBB.2011.140
Nianyin Zeng , Fujian Key Lab. of Med. Instrum. & Pharm. Technol., Fuzhou Univ., Fuzhou, China
Zidong Wang , Dept. of Inf. Syst. & Comput., Brunel Univ., Uxbridge, UK
Yurong Li , Fujian Key Lab. of Med. Instrum. & Pharm. Technol., Fuzhou Univ., Fuzhou, China
Min Du , Fujian Key Lab. of Med. Instrum. & Pharm. Technol., Fuzhou Univ., Fuzhou, China
Xiaohui Liu , Dept. of Inf. Syst. & Comput., Brunel Univ., Uxbridge, UK
In this paper, a hybrid extended Kalman filter (EKF) and switching particle swarm optimization (SPSO) algorithm is proposed for jointly estimating both the parameters and states of the lateral flow immunoassay model through available short time-series measurement. Our proposed method generalizes the well-known EKF algorithm by imposing physical constraints on the system states. Note that the state constraints are encountered very often in practice that give rise to considerable difficulties in system analysis and design. The main purpose of this paper is to handle the dynamic modeling problem with state constraints by combining the extended Kalman filtering and constrained optimization algorithms via the maximization probability method. More specifically, a recently developed SPSO algorithm is used to cope with the constrained optimization problem by converting it into an unconstrained optimization one through adding a penalty term to the objective function. The proposed algorithm is then employed to simultaneously identify the parameters and states of a lateral flow immunoassay model. It is shown that the proposed algorithm gives much improved performance over the traditional EKF method.
Immune system, Mathematical model, Optimization, Kalman filters, Switches, Noise, Materials
Nianyin Zeng, Zidong Wang, Yurong Li, Min Du and Xiaohui Liu, "A Hybrid EKF and Switching PSO Algorithm for Joint State and Parameter Estimation of Lateral Flow Immunoassay Models," in IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 9, no. 2, pp. 321-329, 2012.