Issue No. 04 - July-Aug. (2013 vol. 10)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TCBB.2013.82
Surajit Panja , Dept. of Electr. Eng., Indian Inst. of Technol. Kharagpur, Kharagpur, India
Sourav Patra , Dept. of Electr. Eng., Indian Inst. of Technol. Kharagpur, Kharagpur, India
Anirban Mukherjee , Dept. of Electr. Eng., Indian Inst. of Technol. Kharagpur, Kharagpur, India
Madhumita Basu , Dept. of Biochem., Univ. of Calcutta, Kolkata, India
Sanghamitra Sengupta , Dept. of Biochem., Univ. of Calcutta, Kolkata, India
Pranab K. Dutta , Dept. of Electr. Eng., Indian Inst. of Technol. Kharagpur, Kharagpur, India
Biochemical networks normally operate in the neighborhood of one of its multiple steady states. It may reach from one steady state to other within a finite time span. In this paper, a closed-loop control scheme is proposed to steer states of the glycolysis and glycogenolysis (GG) pathway from one of its steady states to other. The GG pathway is modeled in the synergism and saturation system formalism, known as S-system. This S-system model is linearized into the controllable Brunovsky canonical form using a feedback linearization technique. For closed-loop control, the linear-quadratic regulator (LQR) and the linear-quadratic gaussian (LQG) regulator are invoked to design a controller for tracking prespecified steady states. In the feedback linearization technique, a global diffeomorphism function is proposed that facilitates in achieving the regulation requirement. The robustness of the regulated GG pathway is studied considering input perturbation and with measurement noise.
Steady-state, Vectors, Linearization techniques, Biological system modeling, Mathematical model, Nonlinear systems, Computational biology
S. Panja, S. Patra, A. Mukherjee, M. Basu, S. Sengupta and P. K. Dutta, "A Closed-Loop Control Scheme for Steering Steady States of Glycolysis and Glycogenolysis Pathway," in IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 10, no. 4, pp. 858-868, 2013.