The key process parameters influencing modified asphalt roofing include the type and concentration of polymer modifiers, mixing temperature, and shear rate during blending. The choice of polymer, such as SBS or APP, affects the elasticity and durability of the asphalt. Additionally, the duration of mixing and cooling rates can impact the uniformity and performance of the modified asphalt. Proper control of these parameters ensures optimal adhesion, flexibility, and resistance to environmental factors.