Multi states modeling of structural transitions for sodium ion selective channel gate on the excitable membranes by the H infinite control

State transition of sodium ion selective channel on the excitable membrane was modeled by setting more than 14 subclasses of closed states and three subclasses of inactivated states. The temporal changes in amount of channel species were described by 20 differential equations. By applying the H infinite control principle, we have computed temporal changes in closed, inactivated and open states. The time courses of these species were sensitive to the electrical voltage gap across the membrane. The present work will be available for evaluating the noise filtering function of the sodium ion selective channel.