Literature DB >> 1547364

Structural identifiability of the parameters of a nonlinear batch reactor model.

M J Chappell1, K R Godfrey.   

Abstract

The similarity transformation approach is used to analyze the structural identifiability of the parameters of a nonlinear model of microbial growth in a batch reactor in which only the concentration of microorganisms is measured. It is found that some of the model parameters are unidentifiable from this experiment, thus providing the first example of a real-life nonlinear model that turns out not to be globally identifiable. If it is possible to measure the initial concentration of growth-limiting substrate as well, all model parameters are globally identifiable.

Mesh：

Year:  1992        PMID： 1547364     DOI： 10.1016/0025-5564(92)90058-5

Source DB:  PubMed          Journal:  Math Biosci        ISSN： 0025-5564            Impact factor:   2.144


  9 in total

1.  DAISY: a new software tool to test global identifiability of biological and physiological systems.

Authors:  Giuseppina Bellu; Maria Pia Saccomani; Stefania Audoly; Leontina D'Angiò
Journal:  Comput Methods Programs Biomed       Date:  2007-08-20       Impact factor: 5.428

2.  Examples of testing global identifiability of biological and biomedical models with the DAISY software.

Authors:  Maria Pia Saccomani; Stefania Audoly; Giuseppina Bellu; Leontina D'Angiò
Journal:  Comput Biol Med       Date:  2010-02-24       Impact factor: 4.589

3.  Sieve Estimation of Constant and Time-Varying Coefficients in Nonlinear Ordinary Differential Equation Models by Considering Both Numerical Error and Measurement Error.

Authors:  Hongqi Xue; Hongyu Miao; Hulin Wu
Journal:  Ann Stat       Date:  2010-01-01       Impact factor: 4.028

4.  ESTIMATION OF CONSTANT AND TIME-VARYING DYNAMIC PARAMETERS OF HIV INFECTION IN A NONLINEAR DIFFERENTIAL EQUATION MODEL.

Authors:  Hua Liang; Hongyu Miao; Hulin Wu
Journal:  Ann Appl Stat       Date:  2010-03-01       Impact factor: 2.083

5.  ON IDENTIFIABILITY OF NONLINEAR ODE MODELS AND APPLICATIONS IN VIRAL DYNAMICS.

Authors:  Hongyu Miao; Xiaohua Xia; Alan S Perelson; Hulin Wu
Journal:  SIAM Rev Soc Ind Appl Math       Date:  2011-01-01       Impact factor: 10.780

6.  A simple work flow for biologically inspired model reduction--application to early JAK-STAT signaling.

Authors:  Tom Quaiser; Anna Dittrich; Fred Schaper; Martin Mönnigmann
Journal:  BMC Syst Biol       Date:  2011-02-21

7.  Testing structural identifiability by a simple scaling method.

Authors:  Mario Castro; Rob J de Boer
Journal:  PLoS Comput Biol       Date:  2020-11-03       Impact factor: 4.475

8.  Systematic identifiability testing for unambiguous mechanistic modeling--application to JAK-STAT, MAP kinase, and NF-kappaB signaling pathway models.

Authors:  Tom Quaiser; Martin Mönnigmann
Journal:  BMC Syst Biol       Date:  2009-05-09

9.  Determination of parameter identifiability in nonlinear biophysical models: A Bayesian approach.

Authors:  Keegan E Hines; Thomas R Middendorf; Richard W Aldrich
Journal:  J Gen Physiol       Date:  2014-02-10       Impact factor: 4.086
  9 in total

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