1. A modeling method for determining a structure of permanent charge for an ion channel from information comprising: formulating an abstract operator describing ion channel parameters comprising equations that are ill-posed for determining the structure of permanent charge of an ion channel, the model of ion channel behavior relating the function of the ion channel to the structure of permanent charge within the ion channel and the concentrations of ion species present in the region in and adjacent to the ion channel certain properties and boundary conditions are known; regularizing the abstract operator by approximating the equations that are ill-posed for determining the structure of permanent charge of an ion channel with a family of well-posed equations to provide a regularized solution of ion channel parameters; estimating the closeness of the regularized solution to the solution provided by the abstract operator to obtain an accuracy of the regularized solution; providing stable and convergent algorithms that determine a stability for the regularized solution; providing at least one regularization parameter, the regularization parameter determining at least a balance between the stability of the regularized solution and the accuracy of the regularized solution.