Mathematical Modeling for the Prevention of Methanol Poisoning Through Ethanol by Impulsive Way

Methanol (MeOH) poisoning is a burning issue mostly for the third world country. Toxic methanol is the major compound in impure alcohol when consumed. It causes severe health hazards and sometimes causes death. Methanol when breakdowns into formate in the presence of alcohol dehydrogenase enzymes in human liver, it becomes toxic. This enzyme catalyzes the substrate (MeOH) to produce toxic metabolites (i.e. formate). In methanol toxicity, ethanol is suggested to inhibit the metabolism of methanol as antidote. This is the most common treatment for averting toxicity of methanol in clinics. Based on the chemical kinetics of the reaction, we formulate a mathematical model for the treatment of methanol toxicity with the effects of a constant competitive substrate input (ethanol). Our mathematical study is revealed the dosing policy for administering ethanol as antidote for morbid intoxicated patient. We also find the minimal time interval of the antidote dosing which stops the harmful reaction in treated patient. Numerical simulation of the nonlinear model has confirmed our analytical studies.