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The paper employs the asymptotic theory of Fokker-Planck equations to obtain properties such as the mean passage time to move from one state to another.
The analysis of a nonstationary diffusion process, after transition to the limit of times much exceeding the mean passage time of a single pore, enables to obtain general expressions connecting the effective diffusivity in a porous medium with the statistical parameters of structural elements.
By dissecting a binding trajectory into an encounter step, an escape step, and an evolution step, we accumulated the transition number (N) and the averaged transition time (measured by the mean passage time, MPT) between any two states.
However, it would be of interest to consider the alternative target measure of mean passage time to identify the similarities and differences with the AHD approach.
Although medium C showed the lowest mean passage time in P1, this trend did not reach significance (data not shown, p = 0.096).
Furthermore, the annual variation in mean passage time in the Mediterranean area was positively correlated with primary production in both departure region and passage areas in several trans-Sahara migrants [ 10].
Similar(53)
In particular a reasonable estimate of the unfolding barrier was derived from the first mean passage times.
In order to check whether the simulations were reaction-limited or diffusion-limited, we compared the average mean first passage time (MFPT) of a ligand molecule in a receptor affinity zone to the reaction time-scale.
We mainly focus our research on two aspects, i.e., the dynamical switch characters (including the steady probability distribution, the mean value and the mean first passage time) and the stochastic resonance phenomenon.
Fourth, it is shown that a plot of the logarithm of the vibration-induced increase in the mean stick balancing time, a measure of the mean first passage time, versus is the standard deviation of these fluctuations, a measure of the distance to the threshold, is linear as expected for the times to cross a threshold in a stochastic dynamical system [32], [33].
It would appear that that the mean first passage time associated with stochastic models is a different property from rise time of the mean associated with ODE models.
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