講座題目：Methanol Toxicology and Treatment: Mathematical
Study to Explore Alcohol Dynamics
主 讲 人：Priti Kumar Roy Department of Mathematics Jadavpur University
Dr. Priti Kumar Roy is a Professor of Jadavpur University in the Department of Mathematics. He is proficient in nonlinear system dynamics and an expert in mathematical modeling. He research mainly on infectious diseases like HIV, Cutaneous Leishmaniasis, Filariasis and auto immune disease like Psoriasis. Apart from epidemiology, he also research on Industrial mathematics on production of biodiesel from Jatropha curcus plant and its oil production optimization. Furthermore, he also research on ecological modelling of some important ecological and environmental issues. He has over 100 peer reviewed publications in International and national journals on his research topics. Prof. Roy edited one book “Insight and Control of Infectious Disease in Global Scenario” published by Intech Publishers, Croetia and is the author of the book “Mathematical Models for therapeutic approaches to control HIV disease transmission” published by Springer in the year 2016. Another book titled “Contemporary Research on Psoriasis and Its Control under Mathematical Overview” is accepted by Springer and will be published this year. Ten research students are awarded Ph.D under his supervision and eight more research scholars are working under his guidance. He also have a post doc fellow working with him. He is first person to supervise a thesis on mathematical models of Psoriasis. He is an eminent member in different National and International Societies like Biomathematical Society of India (BMSI), International Association of Engineers (IAENG), European Society of Clinical Microbiology and Infectious Diseases (ESCMID) and European Society for Mathematical and Theoretical Biology (ESMTB). He has completed seven research projects as Principal Investigator, sponsored by Government of India. Prof. Roy was achieved the Best Paper Award in World Congress on Engineering 2010 held in London, UK. He was selected as an Indian Scientist under International Collaboration/Exchange Program 2011-2012 in Scotland and again in 2016 in Poland, awarded by INSA. He was also awarded with “Siksha Ratan” award in 2012. He is also received Open Arms Travel Grant in Asia Pacific Region to attend International Congress of Mathematician (ICM 2018) held in Rio De Jenerio, Brazil 2018. Prof. Roy delivered invited lectures in more than 40 overseas Universities & Institutes across Europe, Asia, America and numerous lectures in Indian Universities.
Methanol poisoning is common in low income countries and such harmful intoxication causes severe metabolic disturbances. It may cause death under serious cases of methanol toxicity. Although methanol itself may be harmless, but it is oxidized to formaldehyde, further it breakdowns to formic acid which is lethal in humans with high concentration. The breakdown is assisted by two major enzymes alcohol dehydrogenase and formaldehyde dehydrogenase. High accumulation of formic acid within humans imposes larger threats causing casualties in extreme cases if remains untreated. During methanol poisoning the primary therapeutic application of ethanol is administered to slowdown the formation of toxic metabolites by competitive substitution of the methanol due to its intrinsic binding affinity. Moreover, supportive role of administering sodium bicarbonate in the patient assist the neutralization of the metabolic acidosis in human. In this research article, we formulate a mathematical model to study the effect of co-administration of ethanol and sodium bicarbonate to treat methanol toxicity among humans. We studied the system analytically and numerically and observed the dynamics of the therapy in an impulsive fashion. We have obtained a parameter dependent maximum dosing time interval to perform complete competitive inhibition of the methanol below the safe threshold level for recovery of the intoxicated human patients. Our analytical and numerical results are in accordance with the published experimental findings.