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grouped data or multiple responses

Hello everyone,
Suppose I want to fit the same mixed model to a set of response 
variables and store the results in a single object.  Then retrieve the 
results one by one using an index or some other referencing method.

The response may be stored either in multiple columns of a response 
matrix (no missing data, same design for all responses) or in a single 
vector, with an index variable indicating the response (allowing for 
different sampling schemes).
Can anyone please help with some pointers on this?
Thanks in advance,
JP