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author:

Zeng, Nianyin (Zeng, Nianyin.) [1] | Wang, Zidong (Wang, Zidong.) [2] | Li, Yurong (Li, Yurong.) [3] | Du, Min (Du, Min.) [4] | Liu, Xiaohui (Liu, Xiaohui.) [5]

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EI

Abstract:

In this paper, a mathematical model for sandwich-type lateral flow immunoassay is developed via short available time series. A nonlinear dynamic stochastic model is considered that consists of the biochemical reaction system equations and the observation equation. After specifying the model structure, we apply the extended Kalman filter (EKF) algorithm for identifying both the states and parameters of the nonlinear state-space model. It is shown that the EKF algorithm can accurately identify the parameters and also predict the system states in the nonlinear dynamic stochastic model through an iterative procedure by using a small number of observations. The identified mathematical model provides a powerful tool for testing the system hypotheses and also for inspecting the effects from various design parameters in both rapid and inexpensive way. Furthermore, by means of the established model, the dynamic changes in the concentration of antigens and antibodies can be predicted, thereby making it possible for us to analyze, optimize, and design the properties of lateral flow immunoassay devices. © 2006 IEEE.

Keyword:

Biomedical signal processing Extended Kalman filters Immunology Iterative methods Mathematical models Nonlinear equations Parameter estimation State space methods Stochastic models Stochastic systems

Community:

  • [ 1 ] [Zeng, Nianyin]College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350002, China
  • [ 2 ] [Wang, Zidong]Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom
  • [ 3 ] [Li, Yurong]College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350002, China
  • [ 4 ] [Li, Yurong]Fujian Key Laboratory of Medical Instrumentation and Pharmaceutical Technology, Fuzhou 350002, China
  • [ 5 ] [Du, Min]Fujian Key Laboratory of Medical Instrumentation and Pharmaceutical Technology, Fuzhou 350002, China
  • [ 6 ] [Du, Min]College of Physical and Information Engineering, Fuzhou University, Fuzhou 350002, China
  • [ 7 ] [Liu, Xiaohui]Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom

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Source :

IEEE Transactions on Biomedical Engineering

ISSN: 0018-9294

Year: 2011

Issue: 7

Volume: 58

Page: 1959-1966

2 . 2 7 8

JCR@2011

4 . 4 0 0

JCR@2023

JCR Journal Grade:2

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 49

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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