Identification of parameter correlations for parameter estimation in dynamic biological models

BMC Systems Biology

Quoc Dong Vu¹  Pu Li¹ 

[1] Department of Simulation and Optimal Processes, Institute of Automation and Systems Engineering, Ilmenau University of Technology, P. O. Box 100565, 98684 Ilmenau, Germany

关键词: Experimental design;    Zero residual surfaces;    Data sets with different inputs;    Parameter correlation;    Identifiability;    Parameter estimation;   

Others  :  1142198
DOI  :  10.1186/1752-0509-7-91

 received in 2013-05-14, accepted in 2013-09-12,  发布年份 2013

【 摘 要 】

Background

One of the challenging tasks in systems biology is parameter estimation in nonlinear dynamic models. A biological model usually contains a large number of correlated parameters leading to non-identifiability problems. Although many approaches have been developed to address both structural and practical non-identifiability problems, very few studies have been made to systematically investigate parameter correlations.

Results

In this study we present an approach that is able to identify both pairwise parameter correlations and higher order interrelationships among parameters in nonlinear dynamic models. Correlations are interpreted as surfaces in the subspaces of correlated parameters. Based on the correlation information obtained in this way both structural and practical non-identifiability can be clarified. Moreover, it can be concluded from the correlation analysis that a minimum number of data sets with different inputs for experimental design are needed to relieve the parameter correlations, which corresponds to the maximum number of correlated parameters among the correlation groups.

Conclusions

The information of pairwise and higher order interrelationships among parameters in biological models gives a deeper insight into the cause of non-identifiability problems. The result of our correlation analysis provides a necessary condition for experimental design in order to acquire suitable measurement data for unique parameter estimation.

【 授权许可】

   
2013 Li and Vu; licensee BioMed Central Ltd.

【 图 表 】

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