The dynamics ofthe full system, including ions, water, aminoacids etc, is modelled using 2d Newton's law.
Simulations of the Langevin equation in the potential envolving ion-channel and ion-ion interactions
Equilibrium statistical-mechanical and linear response theories are employed to describe conductance and Eisenman selectivity relations. This includes the Grand Canonical Ensemble.
Rate and differential Chapman-Kolmogorov equations are applied to predict the current through the channel
Shortage of the pasage time through a fluctuating potential profile
The langevin and the Poisson equations are solved simultaneously to describe the motion of ions in a channel in a self-consistent manner
An effective MATLAB routine to solve the Poisson equation which allows to find electrostatic potentials, currents and forces taking into account sharp spatial variations of the dielectric permittivity