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random effects mixed model, different regressors

Fensis 
Hi everybody,

I have built a model that includes subject ID as a random effect, and has a
continous variable (time) and I want to test whether the slope of this line
differs between treatments (this is tested with the interaction between
treatment and "time").

My question now is that I also want to include regressors that might explain
variation in this slope between subjects (and of which I have this one
estimate for the whole time period). How do I do this? If I just code it as
the same number for all the time points I have measured I am overestimating
my sample size don't I? (because I have not measured it for each time
point).

I am curious as to what you think about this

Thank you very much  

Greetz