  The transport of biomolecules across a cell membrane is an important
phenomena that plays a pivotal role in the functioning of biological cells. In
this paper, we investigate such processes by modeling the translocation of
polymers through a conical channel, directed from the wider opening to the
narrow end of the conical channel. We use the molecular dynamics approach to
study the problem. The effect of the different conical pore geometry and
polymer lengths on translocation dynamics is determined from the behavior of
the total translocation time, $\tau$, and waiting time distributions, $w(s)$.
The escape of polymer segments from the narrow end of the conical channel is
tracked by studying their velocity profile ($v_{s}$). To demonstrate the
asymmetric pore effects on the translocation dynamics, we compare the
translocation process from both the ends of the conical channel. We find
striking differences in the translocation dynamics for both processes, which
are in agreement with the experimental study. We have accounted the effect of
various rigidity, and increasing length of a polymer chain, on both types of
processes. The study can be used to find the transition from a directional
dependent to a directional independent translocation process through a
asymmetric channel.
