Before revision:  This model also indicated that the reflection coefficient of a complete impermeable solute can be smaller than 1. The H+ concentration of solution can influence the driving force of the AQPs by changing the equivalent diameters of vestibules surrounded by loops with abundant polar amino acids. In this way, pH of solution can regulate water permeability of AQPs. Therefore, an AQP may not only work as a switch to open or close, but as a rapid response molecular valve to control its water flow. The vestibules can prevent the channel blockage of AQPs by a primary screening before their constriction region. This model also provides a prediction tool to the structure of AQPs by the \sigma s of special solutes.
After revision:  This model also indicated that the reflection coefficient of a \sigma s of special solutes.