Linear systems analysis of kinetic behaviors of calcium ion channel gatingon the biological membrane by an allosteric model

Linear system analysis was applied to calcium channel gating on the biologi cal membrane. The conformational changes of calcium channel gating were exp ressed by an allosteric enzyme model composed of four subunits with corresp onding voltage sensor molecules. The rate constants for the channel states transitions were obtained from reported biological experiments and simulati on. The linear system analysis disclosed that the system is unstable and un controllable. Combinations of each input site and output of the channel gat ing state for the impulse responses and the singular values of the system s howed that the potency of any particular input site for evoking impulse res ponses at any particular channel state and singular value is not equivalent among the channel states but favor for large numbers of voltage sensors an d open channel states. Allosteric effects for modifying the concerted coope rative properties of the calcium channel have a significant influence on th e singular values of the system. System optimization improved the system pr operties of the calcium channel and will be available for evaluating the ec onomical channel gating of the biological membrane and artificial membrane.