Key result
Computational optimization reduces singular values and norms in stable but uncontrollable intracellular calcium transport systems.
Computational linear systems analysis of calcium transport across the sarcoplasmic reticulum membrane reveals the system is stable but uncontrollable, with optimization reducing system norms.
Model suggests no immediate clinical use for calcium transport optimization; leaves open validation in cardiac disease models.
Wc analyzed the linear systemic properties of intracellular Calcium ion transport across the Sarcoplasmic Reticulum (SR) membrane in the cellular plasma which is characterized by multiple control inputs acting on multiple steps of the transport. The temporal behavior of the Ca transport system was expressed as thirteen rate equations. Linear systems analysis disclosed that the transport system is stable but uncontrollable. The singular values, H∞ and H2 norms of the system increased as the transport stage proceeded and the number of input site increased. System optimization reduced the singular values, H∞ and H2 norms of the system.
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Hirayama et al. (2000) studied Intracellular Calcium ion transport. System optimization (least square and differentiation minimization) vs. Standard state was evaluated on System stability, controllability, and norms (H-infinity and H2). Linear systems analysis demonstrated that the intracellular calcium ion transport system is stable but uncontrollable, and system optimization reduced the singular values and norms of the system.
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