This model, unfortunately, is plenty complicated, and involves two
quantities which are very difficult to measure ( and ). One avenue
of simplification is to assume that certain effects are not going to be
important (for example, if one assumes that osmotic leakage is small, then
essentially ). An additional simplifcation arises from the
fact that equations (6 - 8) form a *compartment model* if , or alcohol inhibition is neglected.
That is, at some level everything is accounted for, nothing lost, and
therefore the derivative of some summed up quantity must be zero.
To see this, set and add up (6 - 8)
in the following way:

and consequently we deduce

or

This allows us to eliminate one of the unmeasurable variables, , through the relation

This results in coupled equations for and when the above expression for is substituted into (6) and (8):

2000-07-31