Indian Institute of Technology, Kharagpur.
University of Calcutta, Kolkata.
IEEE/ACM Trans Comput Biol Bioinform. 2013 Jul-Aug;10(4):858-68. doi: 10.1109/TCBB.2013.82.
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.
生化网络通常在其多个稳定状态之一的附近运行。它可能在有限的时间内从一个稳定状态到达另一个稳定状态。在本文中，提出了一种闭环控制方案，以将糖酵解和糖原分解（GG）途径的状态从一个稳定状态引导到另一个稳定状态。GG 途径采用协同作用和饱和系统形式化（称为 S 系统）进行建模。使用反馈线性化技术，将此 S 系统模型线性化为可控 Brunovsky 规范形式。对于闭环控制，线性二次调节器（LQR）和线性二次高斯（LQG）调节器被调用，以设计用于跟踪预设稳定状态的控制器。在反馈线性化技术中，提出了一个全局微分同胚函数，以方便实现调节要求。考虑到输入扰动和测量噪声，研究了调节后的 GG 途径的鲁棒性。
