Monday, August 10, 2015
Estimating the Blood Fluid Volume
If one knows the mass of alcohol in the blood and also the blood alcohol content at some point in time one can make an estimate of the blood fluid volume for an individual. One can then use this constant to convert any mass of alcohol to its equivalent concentration in the blood. From the curve fits we know the concentrations Dc0 and Bc0 at time t = 0. The formula for B(t) tells us that at some time in the past, say -Δt, we will have B(-Δt) = 0. The quantity of 10.35% alcohol consumed was 1 liter from which we can determine the mass Am and the effective blood fluid volume Vfluid. Note that the subscripts m and c indicate mass and concentration respectively.
Schweisheimer's data indicates a size variation among his test subjects as can be seen from the following calculations. Note the units that were used for the measurements.
Since the sum Dc0+Bc0+Ec0 = Ac we can estimate the amount of alcohol eliminated, Ec0, at t = 0.