The Jones-Wilkins-Lee-Baker (JWLB) equation of state was developed to more accurately describe overdriven detonation, while maintaining an accurate description of high explosive products expansion work output. The increased mathematical complexity of the JWLB high explosive equations of state provides increased accuracy for practical problems of interest. Increased numbers of parameters is often justified based on improved physics descriptions, but can also mean increased calibration complexity. A generalized extent of aluminum reaction, the Jones-Wilkins-Lee (JWL) based equation of state was developed in order to more accurately describe the observed behavior of aluminized explosives detonation products expansion. A calibration method was developed to describe the un-reacted, partially reacted, and completely reacted explosive using non-linear optimization. A reasonable calibration of a generalized extent of aluminum reaction, JWLB equation of state as a function of aluminum reaction fraction has not yet been achieved due to the increased mathematical complexity of the JWLB form.