Journal
JOURNAL OF MATHEMATICAL CHEMISTRY
Volume 58, Issue 1, Pages 126-145Publisher
SPRINGER
DOI: 10.1007/s10910-019-01076-3
Keywords
Methanol; Alcohol dehydrogenase; Aldehyde dehydrogenase; Activated charcoal; Impulsive differential equation
Funding
- Innovation in Science Pursuit for Inspired Research (INSPIRE) Program Fellowship, Department of Science and Technology, Government of India (DST INSPIRE) [IF150343]
- Natural Sciences& Engineering Research Council of Canada (NSERC) [185986]
- Instituto Nazionale di Alta Matematica (INdAM) Francesco Severi, Gruppo Nazionale per le Strutture Algebriche, Geometriche e Loro Applicazioni Grant [9 920160 000362, U 2016/000036]
- Scientific and Technological Research Council of Turkey (TUBITAK) Scientific Human Resources Development (BIDEB) [2221-1059B211301223]
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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.
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