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Development of a Compartmental Model Describing the Dynamics of Vitamin A Metabolism in Men

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Mathematical Modeling in Experimental Nutrition

Abstract

Model-based compartmental analysis was used with the Simulation, Analysis and Modeling (SAAM) computer programs to analyze data on plasma retinoid kinetics in adult male subjects for 7 d after a single oral dose of 105 μmol of [8,9,19-13C]retinyl palmitate. We present here the data for one subject and discuss in detail the steps taken to develop a physiologically-based compartmental model that describes the dynamic behavior of plasma retinyl esters, [12C]retinol, [8,9,19-13C]retinol, and the sum of [12C] and [13C]retinol.

First an absorption model was developed to fit data on the plasma appearance and disappearance of retinyl esters; this was used as input in development of models for labeled and unlabeled retinol. The large oral load of labeled vitamin A perturbed the unlabeled tracee system, and thus parallel models for tracer and tracee were developed; and a time-variant fractional transfer coefficient was incorporated into the tracee model. Following the absorption model, four-compartment models were developed to describe the dynamics of both labeled and unlabeled retinol.

These models predict that, in spite of the large vitamin A load, the absorption efficiency was 34%; hepatic (presumably parenchymal cell) processing of the absorbed dose was essentially complete by 24 h; and, by 7 days, ~80% of the absorbed dose was in a compartment that presumably represents stored liver retinyl esters. The model also predicts that ~50 μmol of retinol passed through the plasma each day, compared to an estimated utilization rate of 4 μmol/day. This project provides unique and important information about whole-body vitamin A dynamics in humans, and presents approaches to specific modeling issues that may be encountered by others.

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von Reinersdorff, D., Green, M.H., Green, J.B. (1998). Development of a Compartmental Model Describing the Dynamics of Vitamin A Metabolism in Men. In: Clifford, A.J., Müller, HG. (eds) Mathematical Modeling in Experimental Nutrition. Advances in Experimental Medicine and Biology, vol 445. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1959-5_13

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  • DOI: https://doi.org/10.1007/978-1-4899-1959-5_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1961-8

  • Online ISBN: 978-1-4899-1959-5

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