Impulsive differential equation model in methanol poisoning detoxification

Efficacy of activated charcoal antidote in combating methanol poisoning
  • P. Ghosh
  • J. F. PetersEmail author
Original Paper


This paper introduces an impulsive differential equation model useful in exploring the efficacy of activated charcoal in detoxifying a body suffering from methanol poisoning. Every year many individuals die due to methanol poisoning, mainly in the low income classes of the society. Among them, a large number of people die even before initial treatment. This work can provide a better knowledge on simple and inexpensive first aid to those affected individuals by administration of activated charcoal. Activated charcoal can be used as a universal antidote for many poisons because of its adsorbing ability. By using impulsive differential equations, we have studied the adsorption capacity of activated charcoal. Analytically we have shown the non-negativity, boundedness of the enzyme-methanol reaction model and emphasized on the formulation of absorption function for activated charcoal. The results obtained from analytical as well as numerical study give a basic idea of first aid within the general public and primary health centers, which can reduce the deaths caused by methanol poisoning in the long run.


Methanol Alcohol dehydrogenase Aldehyde dehydrogenase Activated charcoal Impulsive differential equation 

Mathematics Subject Classification

92B05 93A30 34A34 35R12 97M60 



The authors gratefully acknowledge the work of Prof. P.K. Roy, which was a source of inspiration for this paper. Priyanka Ghosh was the recipient of “Innovation in Science Pursuit for Inspired Research” (INSPIRE) Program Fellowship, Department of Science and Technology, Government of India (DST INSPIRE Code: IF150343). J.F. Peters was supported by the Natural Sciences & Engineering Research Council of Canada (NSERC) discovery grant 185986, Instituto Nazionale di Alta Matematica (INdAM) Francesco Severi, Gruppo Nazionale per le Strutture Algebriche, Geometriche e Loro Applicazioni Grant 9 920160 000362, n.prot U 2016/000036 and Scientific and Technological Research Council of Turkey (TÜBİTAK) Scientific Human Resources Development (BIDEB) under Grant No. 2221-1059B211301223.


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Authors and Affiliations

  1. 1.Centre for Mathematical Biology and Ecology, Department of MathematicsJadavpur UniversityKolkataIndia
  2. 2.Computational Intelligence LaboratoryUniversity of ManitobaWinnipegCanada
  3. 3.Department of Mathematics, Faculty of Arts and SciencesAdiyaman UniversityAdiyamanTurkey

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