CVT transmission modeling

I'm looking for a mechanical engineer that has working knowledge of CVT transmissions to help me create a mathematical model of calculating the shift patterns. I have a working CVT friction style transmission that uses a variator and weights on a spinning crank shaft, and transfers force via a belt to a rear pulley with a spring that resists shifting. I have measurements on all parts involved, or can get accurate measurements and I am able to measure actual results against calculated results. My goal/milestone for payment will be the equations (excel is fine) that can accurately predict the shifting patterns of the CVT as they are measured on the working system. example - given the spinning weight of XXgrams at XXXrpms on a spring with a force of XXlbs, at what rpm will the CVT begin shifting? what will be the optimal shift rpm given an input of xxHP @ xxRPM? maybe some more, but those are the big ones I am after.