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A Closed-Loop Control Scheme for Steering Steady States of Glycolysis and Glycogenolysis Pathway
July-Aug. 2013 (vol. 10 no. 4)
pp. 858-868
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.
Index Terms:
sugar,biochemistry,closed loop systems,control system synthesis,controllers,feedback,linear quadratic Gaussian control,linearisation techniques,robust control,controller,closed-loop control scheme,steering steady states,glycolysis,glycogenolysis,biochemical networks,synergism,saturation system formalism,S-system model,Brunovsky canonical form,feedback linearization technique,linear-quadratic regulator,LQR,linear-quadratic gaussian regulator,LQG regulator,global diffeomorphism function,Steady-state,Vectors,Linearization techniques,Biological system modeling,Mathematical model,Nonlinear systems,Computational biology,glycogenolysis,Controllability,feedback linearization,linear quadratic gaussian regulator,S-system,glycolysis
Citation:
Surajit Panja, Sourav Patra, Anirban Mukherjee, Madhumita Basu, Sanghamitra Sengupta, Pranab K. Dutta, "A Closed-Loop Control Scheme for Steering Steady States of Glycolysis and Glycogenolysis Pathway," IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 10, no. 4, pp. 858-868, July-Aug. 2013, doi:10.1109/TCBB.2013.82
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