Kinetic model for membrane transport. 2. Time lag and overshoot.

A lag time during the period of variation in solute concentration in the receiver phase and overshoot in that in the membrane phase have been predicted to occur with a kinetic model for membrane transport which takes into account both the membrane volume and the partitioning kinetics (Makino et al., Biophys. Chem. 35 (1990) 85). The duration of the lag time becomes longest when the donor and receiver phases have the same volume. This maximum grows in length with increase in the partition coefficient, tending to be proportional to the volume fraction of the receiver phase. Moreover, it displays an increase in length with decreasing membrane volume fraction. Overshoot occurs only when the volume fraction of the receiver phase is greater than that of the donor. Overshoot is observed during the earlier stages of membrane transport when the partition coefficient is smaller or the volume fraction of the receiver phase is larger.