Translocation with a Membrane Potential

As a result, the pore-polymer interaction parameter becomes Y-dependent (Equation 5.24). 

The free energy profile for the present situation can be composed as follows. To be general, let us assume that there is an additional electrochemical potential 

For a polymer conformation with m segments in the receiver compartment and N - M -m segments in the donor compartment, Fm is 

The above specific examples are only for illustrative purposes. These examples show how to implement the technology of Fokker-Planck formalism and how to apply the derived equations for a given situation. Variations in the shape of the pore, entropic barrier, pore-polymer interaction, electrical forces inside and outside the pore, hydrodynamic flows, electroosmotic flows, pressure gradients, polymer sequence, boundary conditions, etc., can be readily addressed by performing calculations analogous to those presented above. 

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