Loading a 3D lookup table into Simulink Coder compiled code

I am using Simulink Coder to generate executable code of a Simulink Model.

Within the model there is a 3D lookup table that is being used for control. In the execution of an optimization process, during each iteration of the process, I would like load a new 3D table into the same executable model code that has been generated by Simulink Coder.

Is it possible to make the executable code read or look for a .mat or other filetype before it executes in each iteration?

I have read through this post: http://www.mathworks.com/matlabcentral/answers/19524-variable-table-inputs-in-simulink-coder

but I found that the Simulink.Parameter objects can only be 2D. Please let me know if I am mistaken and this is the method I should pursue (any extra advice regarding this method would be appreciated too).

Thanks!