where is concentration. Since there exists potentially two regimes of concentration, subscripts C are used to indicate which concentration regime should be considered (Cbulk versus Ccaptured). Far away from the pore, the capture of molecules via diffusion will depend mostly on the bulk concentration of protein. Assuming the translocation success rate is constant (defined as the rate at which molecules pass through the pore divided by the attempt rate, the larger number of ω), proteins around the pore will enhance the barrier-limiting rate. is therefore the Ccaptured concentration at the entrance which increases over time when > Enhancement Rdiff Rbar. pore’s of is expected to increase the translocation rate both by increasing the number of Ccaptured molecules which have enough energy to cross a fixed energy barrier height as well as decreasing the energy barrier due to a greater concentration gradient across the membrane. After the initial moments of applying a voltage, = and the individual capture rates are constant. Ccaptured Cbulk It follows that the rate of accumulation is also fixed and therefore the number of molecules close to the pore linearly increases with time. The rate of accumulation however changes with voltage as shown in Fig. 2e-f. The parabolic nature of the curve suggests that accumulation at the pore can be reduced by either reducing or increasing the applied voltage. In this model, we also see that the rate of accumulation decreases when the energy barrier is reduced to a lower energy level (Fig. 2f), as expected.
where C is concentration. Since there exists potentially two regimes of concentration, subscripts are used to indicate which concentration regime should be considered (Cbulk versus Ccaptured). Far away from the pore, the capture of molecules via diffusion will depend mostly on the bulk concentration of protein. Assuming the translocation success rate is constant (defined as the rate at which molecules pass through the pore divided by the attempt rate, ω), the larger number of proteins around the pore will enhance the barrier-limiting rate. Ccaptured is therefore the concentration at the pore’s entrance which increases over time when Rdiff > Rbar. Enhancement of Ccaptured is expected to increase the translocation rate both by increasing the number of molecules which have enough energy to cross a fixed energy barrier height as well as decreasing the energy barrier due to a greater concentration gradient across the membrane. After the initial moments of applying a voltage, Ccaptured = Cbulk and the individual capture rates are constant. It follows that the rate of accumulation is also fixed and therefore the number of molecules close to the pore linearly increases with time. The rate of accumulation however changes with voltage as shown in Fig. 2e-f. The parabolic nature of the curve suggests that accumulation at the pore can be reduced by either reducing or increasing the applied voltage. In this model, we also see that the rate of accumulation decreases when the energy barrier is reduced to a lower energy level (Fig. 2f), as expected.
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