mathematical model for charge distributions in external micro-environment of ion channels

Current in ion channels has been modelled using Hodgkin-Huxley approach for past half century. There are models that are modified versions of Hodgkin-Huxley model but they only take macroscopic properties of current into consideration, thus termed large-scale models. In this paper another approach is used for modelling the immediate environment of ion channels in general and voltage-gated sodium channels in particular. Model of voltage-gated sodium channels is obtained using molecular dynamic analysis. Geometry of model that is obtained by molecular dynamic analysis is then mathematically approximated for electrical potential. Mathematical model of electric potential is built right from the first principle [i.e., Coulomb's law]. Results show the computational graphing of such model in 3D. R-Minimal