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Chaperones are binding proteins which work as a driving force to bias thebiopolymer translocation by binding to it near the pore and preventing itsbacksliding. Chaperones may have different spatial distribution. Recently weshow the importance of their spatial distribution in translocation and how iteffects on sequence dependency of the translocation time. Here we focus onhomopolymers and exponential distribution. As a result of the exponentialdistribution of chaperones, energy dependency of the translocation time willchanged and one see a minimum in translocation time versus effective energycurve. The same trend can be seen in scaling exponent of time versus polymerlength, $\beta$ ($T\sim\beta$). Interestingly in some special cases e.g.chaperones of size $\lambda=6$ and with exponential distribution rate of$\alpha=5$, the minimum reaches even to amount of less than $1$ ($\beta<1$). Weexplain the possibility of this rare result and base on a theoreticaldiscussion we show that by taking into account the velocity dependency of thetranslocation on polymer length, one could truly predict the amount of thisminimum.

Chaperone driven polymer translocation through Nanopore: spatial distribution and binding energy