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Department of Chemical and Biomolecular Engineering

4 Engineering Drive 4 Block E5 #B-05

National University of Singapore

Singapore 117576

Tel:+65 6516 7859

I work in the Gunawan lab at National University of Singapore.

- 2007, M.Tech, Indian Institute of Technology, Roorkee.
- 2005, B.Tech(Chem), Sri Venkateswara College of Engineering, Chennai.

**Model Identification in the Biochemical Systems Theory**Recent advances in technology permit high throughput experiments at genomic, transcriptomic, proteomic and metabolomic levels. The information obtained from time-series data, however, is implicit and requires extensive data analysis. Mathematical modeling of biological systems has found increasing applications for investigating dynamics in complex cellular processes and has given rise to a new field called systems biology. In systems biology, biological processes like signal transduction and metabolic networks are often modeled using differential equations. These models often include many unknown parameters like enzymatic reaction rate constants, which are to be determined by fitting to time-course experimental data. Using the power-law formalism, the Biochemical Systems Theory (BST) coupled with high-throughput biological measurements transform the model identification into an inverse problem of estimating model parameters from experimental data.

Given time-series data and a model, parameter estimation can be thought as the “inverse problem” of generating predictions from model. Despite the large number of publications on this topic, this task remains the bottleneck in the application of BST modeling in biologically related area. Many studies in the literature have focused on developing comprehensive parameter estimation techniques that exploit many of the mathematical features of canonical models within the BST, such as S-systems or generalized mass action (GMA) or lin-log models. However, many challenges arise from the same underlying problem; incomplete and noisy measurements lack the necessary information in order to accurately estimate the model parameters. This is a parameter identifiability problem. Thus, the focus of this work is to investigate the identifiability of metabolic network models, and to suggest model refinement or experimental design that maximizes the number of estimable parameters from data.

Two types of identifiability property are considered. First, a priori identifiability analysis yields the identifiable parameters under the assumption of noise-free data. Parametric sensitivities are used as a basis for selecting the a priori identifiable parameters. Secondly, practical identifiability gives the identifiable parameters when the data are contaminated with noise. In other words, this analysis gives the accuracy with which the parameters can be estimated. The practical identifiability analysis methods are based on linear(ized) and nonlinear regression analysis, particularly the statistical inference of confidence interval or region of the parameter estimates. The applications to two inverse modeling problems within the BST point to the lack of parametric identifiability as the root cause of the difficulty faced in the inverse modeling. Although this work focuses on the BST models, the analyses can be applied to other types of models, and the issue of parameter identifiability is expected to be a common problem in other biological modeling.

identifiability analysis, inverse modeling, Biochemical Systems Theory, confidence region**Key words:**

**Constrained-based modelliing****Metabolic Engineering**

- S. Srinath and R. Gunawan. Parameter identifiability of power-law biochemical system models. J. Biotechnol, 2010. 149:132-140, 2010.

__Srinath S,__Gunawan R.**(2011)**Model-based Design of Experiment for Kinetic Parameter Identification: Beyond the Fisher Information Matrix, 12th International Conference on Molecular Systems Biology (ICMSB), Lleida, Spain, May 8-12

__Srinath S__, Yuan Z, Gunawan R.**(2010)***Identifiability Analysis of Decoupled Power-Law Models*, 5th International Symposium on Design, Operation and Control of Chemical Processes (PSE Asia), Singapore, July 25-28

- Srinath S,
__Gunawan R__.**(2009)**Identifiability Analysis of Metabolic Networks, 11th International Conference on Molecular Systems Biology (ICMSB), Shanghai, China, June 21-25

__Srinath S__, Gunawan R.**(2010)**Parameter Identifiability of Metabolic Network Models, In*Satellite Conference of the International Congress of Mathematics*, Hyderabad, India, Aug 16-18

__Srinath S__, Gunawan R.**(2010)***Parameter Identifiability in Kinetic Modeling of Metabolic Pathways*, Poster presented at the Metabolic Engineering Conference VIII, Jeju Island, South Korea, Jun 13 - 17