Mathematical Insight of Methanol Toxicity Management Using Charcoal and Folinic Acid

Methanol poisoning is a relatively uncommon yet highly perilous form of intoxication, leading to central nervous system depression, vision impairment, metabolic disruption, and even more deadly consequences if not quickly and effectively addressed. Keeping this in mind, this work primarily studies activated charcoal as first aid for methanol-intoxicated persons. In this research article, we initially develop a mathematical model for methanol-enzyme interaction, along with the effects of folate therapy. We consider a unique form of the Dubinin-Astakhov (DA) equation that characterizes the adsorption of methanol on activated charcoal. The impulsive differential equation which we formulate, based on the DA equation, examines the efficacy of activated charcoal in treating methanol toxicity. We also verify all our analytical results using numerical simulations.