Diane, VA3DB passed along this excellent page detailing the inner workings of the Gilbert Cell mixer. I was interested in these primarily because I was trying to understand the inner workings of the NE602/SA602/SA612, and was looking at an LTSpice model of it, and couldn’t understand the way that the various transistors were biased. I haven’t had time to read over this page too closely, but amidst the math I suspect the answer can be found.