Impulsive mathematical modeling of ascorbic acid metabolism in healthy subjects

• Published in: Journal of theoretical biology Vol. 392; pp. 35 - 47
• Main Authors: Bachar, Mostafa, Raimann, Jochen G., Kotanko, Peter
• Format: Journal Article
• Language: English
• Published: England Elsevier Ltd 07.03.2016
• Subjects: Administration, Oral; Ascorbic Acid - pharmacokinetics; Ascorbic Acid - pharmacology; Ascorbic acid deficiency; Ascorbic acid metabolism in human; Bio-availability; Fixed point theory; Global stability; Humans; Impulsive ordinary differential equation; Models, Biological; Fixed point theory; Ascorbic acid metabolism in human; Bio-availability; Ascorbic acid deficiency; Global stability; Impulsive ordinary differential equation
• ISSN: 0022-5193; 1095-8541; 1095-8541
• DOI: 10.1016/j.jtbi.2015.11.030

In this work, we develop an impulsive mathematical model of Vitamin C (ascorbic acid) metabolism in healthy subjects for daily intake over a long period of time. The model includes the dynamics of ascorbic acid plasma concentration, the ascorbic acid absorption in the intestines and a novel approach to quantify the glomerular excretion of ascorbic acid. We investigate qualitative and quantitative dynamics. We show the existence and uniqueness of the global asymptotic stability of the periodic solution. We also perform a numerical simulation for the entire time period based on published data reporting parameters reflecting ascorbic acid metabolism at different oral doses of ascorbic acid. •We have developed a mathematical model allowing the prediction of ascorbic acid dynamics at different states of vitamin C intake.•In addition to intestinal uptake, distribution and dynamics in the extracellular volume and the tissue, we have also included a novel approach to quantify the glomerular excretion of ascorbic acid.•We also analyzed the global asymptotic stability of acid kinetics model in healthy subjects.