I am interested in a general process for dendritic integration where the synaptic inputs are the function values f_i of a function of several variables and the output of the dendritic computation is the partial derivative of f_i with respect to one or more variables.
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I think I can very loosely see from your contour integration and argument about summing oscillations how you think you might be able to do the latter.
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I understand that this isn't more than a mathematical representation, so Marr-II. The actual biophysics, Marr-III, is also important. That said, these aren’t dissociable since a biophysical representation of complex numbers probably involves dendritic oscillations.
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