How can I automatically make new computings after I have modified some value in a field in ArcGIS Desktop?

Hy all!

I'm a computer programmer and I have no idea about geographic things. I have got a long algorithm with a lot of computings, computed from a previous computed field. There are 7-8 computed fields and they refer to each other, so it's a bit complex algorithm. There is a chance, that the original values in the beginning of the long algorithms will change (some empty columns will have values and the algorithm needs to compute from them). How can I make this to be as automatic as it can be? I think there is other solution than run the python scripts on the fields again and again.

Thanks.