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Impulsive differential equation model in methanol poisoning detoxification
Journal of Mathematical Chemistry ( IF 1.7 ) Pub Date : 2019-11-08 , DOI: 10.1007/s10910-019-01076-3
P. Ghosh , J. F. Peters

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.

中文翻译:

甲醇中毒解毒的脉冲微分方程模型

本文介绍了一种脉冲微​​分方程模型,该模型可用于探索活性炭对甲醇中毒身体的解毒功效。每年都有许多人死于甲醇中毒,主要是社会中的低收入阶层。其中,很多人甚至在初步治疗之前就已经死亡。这项工作可以通过使用活性炭为受影响的个人提供简单且廉价的急救知识。活性炭因其吸附能力强,可作为多种毒物的万能解毒剂。通过使用脉冲微分方程,我们研究了活性炭的吸附能力。分析上我们已经证明了非负性,酶-甲醇反应模型的有界性,强调了活性炭吸附函数的制定。从分析和数值研究中获得的结果给出了在普通公众和初级卫生保健中心进行急救的基本概念,从长远来看可以减少甲醇中毒造成的死亡。
更新日期:2019-11-08
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