Mathematical modeling of ethanol distribution in body fluids

Abstract

The aim of the study is to build a kinetic model of ethanol distribution in biological body fluids, as well as its implementation in the format of computer programs. Analytical mathematical modeling of ethanol kinetics in body fluids after single and multiple oral alcohol intake was performed. An equation for the distribution of ethanol in internal media and other body fluids has been developed based on a kinetic model of zero-order elimination with absorption and irrevocable absorption deficiency, as well as achieving an equilibrium state with first-order blood plasma. On the basis of this kinetic model, computational algorithms are constructed for estimating the concentration of ethanol in body fluids at a given time, the peak concentration of ethanol and the time of its achievement, the time of complete removal of ethanol, the beginning and end of the false elimination period. Solutions to the problem of determining the amount of ethanol taken by its concentration in the biological fluid and the level of etholemia at this point in time with the possibility of calculating their maximum absolute errors are obtained. The constructed kinetic model is generalized to any number of ethanol receptions separated by time intervals of any duration. The developed computational algorithms are implemented in the format of the computer programs 'Alcohol Calculator V 7.0" and "Alcohol Calculator V 6.0", which are recommended for use in the forensic medical expert assessment of acute alcohol intoxication.