In: Advanced Math
Explain why most folks say that alcohol concentration decays linearly until the alcohol concentration decays to the level at which no one cares.
Alcohol elimination is a zero-order process, that implies alcohol concentration decreases from the body at a constant rate, i.e linearly, independent of the concentration of alcohol. Due to km of most ADH isozymes for ethanol is low (about 1 mM), ADH is saturated at low concentrations of alcohol, hence, the total elimination proceeds at maximal velocity and is independent of the alcohol concentration. However, linearity is not observed at low alcohol concentration since ADH is no longer saturated with ethanol. Alcohol elimination now follows Michaelis-Menten kinetics; the rate of change in the concentration of alcohol depends on the concentration of alcohol and the kinetic constants Km and Vmax.
Typical doses of alcohol(minimum concentration) actually saturate the enzymes' capacity, so that alcohol is removed from the bloodstream at an approximately constant rate.(linearly)
Due to the above mentioned reasons,many people believe alcohol decays in a linear fashion until it reduces to a concentration at which no one cares.