I'm admittedly hazy on the exact work you're doing, but if you mean the other configurations will change the curve, you could try (1) tweaking your program to output tables of a few examples (2) using curve-fitting app to get a fit for each table (3) looking if it found an equation that matched all of them (making a note, for each example, of which coefficients it plugged into the equation).

that sounds like something i haven't tried and may yield results

gracias