Use of Model-Based Compartmental Analysis and a Super-Child Design to Study Whole-Body Retinol Kinetics and Vitamin A Total Body Stores in Children from 3 Lower-Income Countries

Jennifer Lynn Ford, Joanne Balmer Green, Marjorie J Haskell, Shaikh M Ahmad, Dora Inés Mazariegos Cordero, Anthony Oxley, Reina Engle-Stone, Georg Lietz, Michael H Green, Jennifer Lynn Ford, Joanne Balmer Green, Marjorie J Haskell, Shaikh M Ahmad, Dora Inés Mazariegos Cordero, Anthony Oxley, Reina Engle-Stone, Georg Lietz, Michael H Green

Abstract

Background: Model-based compartmental analysis has been used to describe and quantify whole-body vitamin A metabolism and estimate total body stores (TBS) in animals and humans.

Objectives: We applied compartmental modeling and a super-child design to estimate retinol kinetic parameters and TBS for young children in Bangladesh, Guatemala, and the Philippines.

Methods: Children ingested [13C10]retinyl acetate and 1 or 2 blood samples were collected from each child from 6 h to 28 d after dosing. Temporal data for fraction of dose in plasma [13C10]retinol were modeled using WinSAAM software and a 6-component model with vitamin A intake included as weighted data.

Results: Model-predicted TBS was 198, 533, and 1062 μmol for the Bangladeshi (age, 9-17 mo), Filipino (12-18 mo), and Guatemalan children (35-65 mo). Retinol kinetics were similar for Filipino and Guatemalan groups and generally faster for Bangladeshi children, although fractional transfer of plasma retinol to a larger exchangeable storage pool was the same for the 3 groups. Recycling to plasma from that pool was ∼2.5 times faster in the Bangladeshi children compared with the other groups and the recycling number was 2-3 times greater. Differences in kinetics between groups are likely related to differences in vitamin A stores and intakes (geometric means: 352, 727, and 764 μg retinol activity equivalents/d for the Bangladeshi, Filipino, and Guatemalan children, respectively).

Conclusions: By collecting 1 or 2 blood samples from each child to generate a composite plasma tracer data set with a minimum of 5 children/time, group TBS and retinol kinetics can be estimated in children by compartmental analysis; inclusion of vitamin A intake data increases confidence in model predictions. The super-child modeling approach is an effective technique for comparing vitamin A status among children from different populations. These trials were registered at www.clinicaltrials.gov as NCT03000543 (Bangladesh), NCT03345147 (Guatemala), and NCT03030339 (Philippines).

Keywords: WinSAAM; children; model-based compartmental analysis; retinol; stable isotopes; super-child design; tracer kinetics; vitamin A assessment; vitamin A stores.

Copyright © American Society for Nutrition 2019.

Figures

FIGURE 1
FIGURE 1
Proposed compartmental model for vitamin A kinetics in children. Circles represent compartments; the rectangles are delay elements; interconnectivities between components (arrows) are fractional transfer coefficients [L(I, J)s, or the fraction of retinol in compartment J transferred to compartment I each day]; and DT(I)s are delay times (or the time spent in delay element I). Delay element 3 is the site of introduction of ingested tracer (*) and dietary vitamin A [U(3)]. Components 3 and 4 represent vitamin A digestion and absorption plus chylomicron processing until vitamin A uptake by hepatocytes (compartment 4). Retinol bound to retinol-binding protein is secreted from compartment 4 into plasma compartment 5, the site of sampling (triangle). Retinol in plasma can exchange with vitamin A in 2 extravascular pools (a larger compartment 6 and a smaller compartment 7) and it can also irreversibly enter component 8, hypothesized to be tissues from which vitamin A does not recycle. Compartment 6 and component 8 are the sites of irreversible loss from the system.
FIGURE 2
FIGURE 2
Geometric mean observed and model-predicted fraction of dose for [13C10]retinol in plasma simulated to 40 d (A) or 5 d (B) for Bangladeshi, Guatemalan, and Filipino children. Symbols are observed data and lines are model simulations. For the Bangladeshi group, the super-child data set included 5–6 children/time except at 4 d when there were 40 children; for the Filipino group, there were 9–13 children/time and 112 at 4 d; the Guatemalan group included 8–16 children/time and 135 at 4 d. Mean data for each group were fit independently using the model shown in Figure 1. The model-calculated weighted sums of squares for plasma were 6.2E-07, 1.9E-08, and 5.6E-08 for the Bangladeshi, Filipino, and Guatemalan groups, respectively.
FIGURE 3
FIGURE 3
Geometric mean observed and model-predicted fraction of dose for [13C10]retinol in plasma versus time for Bangladeshi, Guatemalan, and Filipino children. Symbols are observed data and lines are model simulations using the partially parallel model (see Results). For the Bangladeshi group, the super-child data set included 5–6 children/time except at 4 d when there were 40 children; for the Filipino group, there were 9–13 children/time and 112 at 4 d; the Guatemalan group included 8–16 children/time and 135 at 4 d. Mean data for the 3 groups were fit with use of a partially parallel modeling approach (see Methods for details); the model is shown in Figure 1. The model-calculated weighted sums of squares for plasma were 2.4E-07, 4.8E-08, and 8.8E-08 for the Bangladeshi, Filipino, and Guatemalan groups, respectively.

References

    1. Green MH, Green JB. Quantitative and conceptual contributions of mathematical modeling to current views on vitamin A metabolism, biochemistry, and nutrition. Adv Food Nutr Res. 1996;40:3–24.
    1. Cifelli CJ, Green JB, Green MH. Use of model-based compartmental analysis to study vitamin A kinetics and metabolism. Vitam Horm. 2007;75:161–95.
    1. Furr HC, Green MH, Haskell M, Mokhtar N, Nestel P, Newton S, Ribaya-Mercado JD, Tang G, Tanumihardjo S, Wasantwisut E. Stable isotope dilution techniques for assessing vitamin A status and bioefficacy of provitamin A carotenoids. Public Health Nutr. 2005;8:596–607.
    1. Cifelli CJ, Green JB, Wang Z, Yin S, Russell RM, Tang G, Green MH. Kinetic analysis shows that vitamin A disposal rate in humans is positively correlated with vitamin A stores. J Nutr. 2008;138:971–7.
    1. Green MH, Ford JL, Oxley A, Green JB, Park H, Berry P, Boddy AV, Lietz G. Plasma retinol kinetics and β-carotene bioefficacy are quantified by model-based compartmental analysis in healthy young adults with low vitamin A stores. J Nutr. 2016;146:2129–36.
    1. Lietz G, Furr HC, Gannon BM, Green MH, Haskell M, Lopez-Teros V, Novotny JA, Palmer AC, Russell RM, Tanumihardjo SA et al. .. Current capabilities and limitations of stable isotope techniques and applied mathematical equations in determining whole-body vitamin A status. Food Nutr Bull. 2016;37:S87–103.
    1. Ford JL. Advanced theoretical applications of mathematical modeling and compartmental analysis in vitamin A and provitamin A carotenoid research: validation of prediction methods [PhD dissertation]. The Pennsylvania State University; 2019.
    1. Lopez-Teros V, Ford JL, Green MH, Tang G, Grusak MA, Quihui-Cota L, Muzhingi T, Paz-Cassini M, Astiazaran-Garcia H. Use of a “super-child” approach to assess the vitamin A equivalence of Moringa oleifera leaves, develop a compartmental model for vitamin A kinetics, and estimate vitamin A total body stores in young Mexican children. J Nutr. 2017;147:2356–63.
    1. Tan L, Green MH, Ross AC. Vitamin A kinetics in neonatal rats vs. adult rats: comparisons from model-based compartmental analysis. J Nutr. 2015;145:403–10.
    1. Green MH, Green JB, Furr HC; Vitamin A Tracer Task Force. Analysis of stable isotope data to estimate vitamin A body stores. Vienna: International Atomic Energy Agency; 2008.
    1. Haskell MJ, Lembcke JL, Salazar M, Green MH, Peerson JM, Brown KH. Population-based plasma kinetics of an oral dose of [2H4]retinyl acetate among preschool-aged, Peruvian children. Am J Clin Nutr. 2003;77:681–6.
    1. Lopez-Teros V, Ford J, Green MH, Tanumihardjo SA, Monreal-Barraza B, Garcia-Miranda L, Pacheco-Moreno BI, Tortoledo-Ortiz O, Valencia ME, Astiazaran-Garcia H. Use of a super-child approach and retinol isotope dilution to estimate population and individual vitamin A total body stores in 3- to 6-year-old Mexican children (E01-06). In: Carotenoids and Retinoids. Curr Dev Nutr. 2018;2(11):3.
    1. Green MH. Evaluation of the “Olson equation”, an isotope dilution method for estimating vitamin A stores. Int J Vitam Nutr Res. 2014;84:9–15.
    1. Green MH, Ford JL, Green JB, Berry P, Boddy AV, Oxley A, Lietz G. A retinol isotope dilution equation predicts both group and individual total body vitamin A stores in adults based on data from an early postdosing blood sample. J Nutr. 2016;146:2137–42.
    1. Ford JL, Green JB, Green MH. A population-based (super-child) approach for predicting vitamin A total body stores and retinol kinetics in children is validated by the application of model-based compartmental analysis to theoretical data. Curr Dev Nutr. 2018;2:nzy071.
    1. Aebischer C, Schierle J, Schüep W. Simultaneous determination of retinol, tocopherols, carotene, lycopene, and xanthophylls in plasma by means of reversed-phase high-performance liquid chromatography. Methods Enzymol. 1999;299:348–62.
    1. Kane MA, Napoli JL. Quantification of endogenous retinoids. Methods Mol Biol. 2010;652:1–54.
    1. Oxley A, Berry P, Taylor GA, Cowell J, Hall MJ, Hesketh J, Lietz G, Boddy AV, Cowell J, Hesketh J et al. .. An LC/MS/MS method for stable isotope dilution studies of β-carotene bioavailability, bioconversion, and vitamin A status in humans. J Lipid Res. 2014;55:319–28.
    1. Linderkamp O, Versmold HT, Riegel KP, Betke K. Estimation and prediction of blood volume in infants and children. Eur J Pediatr. 1977;125:227–34.
    1. Berman M, Weiss MF. The SAAM manual. Washington (DC): US Government Printing Office, US DHEW (NIH); 1978.
    1. Wastney ME, Patterson BH, Linares OA, Greif PC, Boston RC. WinSAAM. In: Investigating biological systems using modeling: strategies and software. San Diego (CA): Academic Press; 1999. 95–138.
    1. Stefanovski D, Moate PJ, Boston RC. WinSAAM: a Windows-based compartmental modeling system. Metabolism. 2003;52:1153–66.
    1. Burri BJ, Park JYK. Compartmental models of vitamin A and β-carotene metabolism in women. Adv Exp Med Biol. 1998;445: 225–37.
    1. Aklamati EK, Mulenga M, Dueker SR, Buchholz BA, Peerson JM, Kafwembe E, Brown KH, Haskell MJ. Accelerator mass spectrometry can be used to assess vitamin A metabolism quantitatively in boys in a community setting. J Nutr. 2010;140:1588–94.
    1. Sivakumar B, Reddy V. Absorption of labelled vitamin A in children during infection. Br J Nutr. 1972;27:299–304.
    1. Furr HC, Amedee-Manesme O, Clifford AJ, Bergen HR3rd, Jones AD, Anderson DP, Olson JA. Vitamin A concentrations in liver determined by isotope dilution assay with tetradeuterated vitamin A and by biopsy in generally healthy adult humans. Am J Clin Nutr. 1989;49:713–6.
    1. Tanumihardjo SA, Russell RM, Stephensen CB, Gannon BM, Craft NE, Haskell MJ, Lietz G, Schulze K, Raiten DJ. Biomarkers of Nutrition for Development (BOND)—vitamin A review. J Nutr. 2016;146:1816S–48S.
    1. Ford JL, Green JB, Green MH. Addition of vitamin A intake data during compartmental modeling of retinol kinetics in theoretical humans leads to accurate prediction of vitamin A total body stores and kinetic parameters in studies of reasonable duration. J Nutr. 2019;pii: nxz112. [Epub ahead of print], doi:10.1093/jn/nxz112.
    1. Meibohm B, Läer S, Panetta JC, Barrett JS. Population pharmacokinetic studies in pediatrics: issues in design and analysis. AAPS J. 2005;7:E475–87.
    1. Green MH, Ford JL, Green JB. Inclusion of vitamin A intake data provides improved compartmental model-derived estimates of vitamin A total body stores and disposal rate in older adults. J Nutr. 2019;149:1282–7.
    1. Kelly M, von Lintig J. STRA6: role in cellular retinol uptake and efflux. Hepatobiliary Surg Nutr. 2015;4:229–42.
    1. Park H. Model-based compartmental analysis of the kinetics of retinol and beta-carotene in humans: statistical considerations in designing and building models for retinol plus expanded models for beta-carotene[PhD dissertation]. The Pennsylvania State University; 2011.

Source: PubMed

3
Abonneren