Pharmacokinetics Study of Metformin – Mathematical Modelling and Simulation

Chakraborty, Sukankana; Arora, Kriti; Sharma, Prakash; Nath, Arijit; Bhattacharjee, Chiranjib

doi:10.1016/j.apcbee.2014.01.027

Cited by 4 publications

(4 citation statements)

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“…The half-life for the elimination is observed to be roughly more than 6 hours (confirmed by data). The Metformin concentration decreases as the time increases and reaches zero [32]. The concentration of the Metformin in different compartments (organs) depends on (indirect parameters) the initial concentration/ dose of the Metformin, linear blood flow rate, and (direct parameter) intracellular enzymatic reactions.…”

Section: Resultsmentioning

confidence: 99%

“…We discussed the kinetics of G-O model for varying orders ϖ = 0.880, 0.910, 0.940, 0.970, 1.000 in time vs concentration profiles. Our proposed G-O model is more general and it reduces to integer order model [32] for ϖ → 1. In future work, we aim to investigate variety of fractional pharmacokinetics models using dimensional homogeneity supported by clinical data.…”

Section: Discussionmentioning

confidence: 99%

“…In this section, we go over a conceptual model of pharmacokinetic study that takes into account the dynamics of the Metformin in stomach, intestine, liver, tissue, and kidney [32]. Initially, Metformin uptakes from intestinal lumen by PMAT and OCT3 (localized at the apical membrane of enterocytes).…”

Section: Mathematical Preliminariesmentioning

confidence: 99%

“…There are severe toxic effects with Metformin reported due to the high plasma concentrations of the drug [10]. We propose a generalization of integer order model [32] with dimensional homogeneity in Caputo sense that captures the memory characteristics to better understand the correlation between the dose concentration and the glucose-lowering effect.…”

Section: Introductionmentioning

confidence: 99%

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Qualitative Analysis of Metformin Drug Administration in Caputo Setting

Khan

Beldar

Bhairat

2023

Preprint

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The study of drug metabolism is significant to establish the drug pro-file. The pharmacokinetics of the drug determines the concentrationof the drug in enumerable parts of the human body. In this paper, we develop a relationship between such processes of Pharmacokinetics with mathematical formulations using the tools from fractional calculus. As per the literature, for treating a type-II diabetes mellitus, Metformin is being used extensively. The Metformin metabolism encom-passes a large variety of metabolic processes in different parts of thebody. In the present study, we formulate and analyze a model of the Metformin kinetics taking into account a homogenous dimensionalityin Caputo sense. The Banach and Schauder fixed point theorems are employed to explore the uniqueness and existence results. The equilibrium point, asymptotic stability for the given parameters, and Lyapunov stable solutions are also discussed. Further, the Ulam’s type stabilityis explored for generalized model. Finally, the Adam-Bashful-Mouton(A-B-M) method in generalized form is used to validate the conclusions.

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Mathematical Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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