Modeling of nonlinear biological phenomena modeled by S-systems using Bayesian method

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Citations (Scopus)

Abstract

A biological dynamic pathway is usually modeled as a nonlinear system described by a set of nonlinear ODEs. A main challenge in modeling of biological systems is the estimation of the model parameters. In these cases, estimating these variables or parameters from other easily obtained measurements can be extremely useful. This paper addresses states and parameters estimation of biological phenomena modeled by S-systems using Bayesian approach. Nonlinear states and parameters estimation is a major issue in biology systems, since it represents a key step for achieving quantitative and qualitative information from dynamical and structured models of biology systems. Thus, we propose to use Particle Filtering (PF) to estimate nonlinear states and model parameters of the Cad System in E. coli (CSEC) in biology. For most nonlinear systems and non-Gaussian noise observations, closed-form analytic expression of the posterior distribution of the state is untractable. To overcome this drawback, a non-parametric particle filtering has recently gained popularity. Simulation analysis demonstrates that the Bayesian algorithm can well estimate the unknown model parameters under the disturbs of the noise, and it provides an efficient accuracies for the states estimation. Evaluation of the methods was performed by using Root Mean Square Error (RMSE).

Original languageEnglish
Title of host publication2012 IEEE-EMBS Conference on Biomedical Engineering and Sciences, IECBES 2012
Pages305-310
Number of pages6
DOIs
Publication statusPublished - 2012
Event2012 2nd IEEE-EMBS Conference on Biomedical Engineering and Sciences, IECBES 2012 - Langkawi, Malaysia
Duration: 17 Dec 201219 Dec 2012

Other

Other2012 2nd IEEE-EMBS Conference on Biomedical Engineering and Sciences, IECBES 2012
CountryMalaysia
CityLangkawi
Period17/12/1219/12/12

Fingerprint

State estimation
Parameter estimation
Nonlinear systems
Biological systems
Mean square error
Escherichia coli
Systems Biology

Keywords

  • Bayesian approach
  • Cad System in E. coli
  • nonlinear biological system
  • States and parameters estimation

ASJC Scopus subject areas

  • Biomedical Engineering

Cite this

Mansouri, M., Nounou, H., Nounou, M., & Datta, A. A. (2012). Modeling of nonlinear biological phenomena modeled by S-systems using Bayesian method. In 2012 IEEE-EMBS Conference on Biomedical Engineering and Sciences, IECBES 2012 (pp. 305-310). [6498128] https://doi.org/10.1109/IECBES.2012.6498128

Modeling of nonlinear biological phenomena modeled by S-systems using Bayesian method. / Mansouri, Majdi; Nounou, Hazem; Nounou, Mohamed; Datta, Aniruddha A.

2012 IEEE-EMBS Conference on Biomedical Engineering and Sciences, IECBES 2012. 2012. p. 305-310 6498128.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mansouri, M, Nounou, H, Nounou, M & Datta, AA 2012, Modeling of nonlinear biological phenomena modeled by S-systems using Bayesian method. in 2012 IEEE-EMBS Conference on Biomedical Engineering and Sciences, IECBES 2012., 6498128, pp. 305-310, 2012 2nd IEEE-EMBS Conference on Biomedical Engineering and Sciences, IECBES 2012, Langkawi, Malaysia, 17/12/12. https://doi.org/10.1109/IECBES.2012.6498128
Mansouri M, Nounou H, Nounou M, Datta AA. Modeling of nonlinear biological phenomena modeled by S-systems using Bayesian method. In 2012 IEEE-EMBS Conference on Biomedical Engineering and Sciences, IECBES 2012. 2012. p. 305-310. 6498128 https://doi.org/10.1109/IECBES.2012.6498128
Mansouri, Majdi ; Nounou, Hazem ; Nounou, Mohamed ; Datta, Aniruddha A. / Modeling of nonlinear biological phenomena modeled by S-systems using Bayesian method. 2012 IEEE-EMBS Conference on Biomedical Engineering and Sciences, IECBES 2012. 2012. pp. 305-310
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