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Division of Neonatology, Department of Pediatrics, Georgetown University Medical Center Washington, D.C. 20007,
Plant, Soil and Nutrition Laboratory, U.S. Department of Agriculture ARS, Ithaca, NY 14853-2901 and
**
Department of Chemistry, University of Massachusetts, Amherst, MA 01003-4510
3To whom correspondence should be addressed.
| ABSTRACT |
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KEY WORDS: humans rats zinc mathematical modeling compartmental model
| INTRODUCTION |
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We first outline a kinetic study and then review in vivo studies in humans and animals. Next, new analytical techniques for increasing the information obtained from kinetic studies are discussed. Finally, some areas that can now be researched using this approach are presented.
| Kinetic studies |
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A second component of a kinetic study is measurement of the tracer in the system (e.g., various tissues) over time. This is necessary to determine the shape of the curves associated with each tissue. The appearance of tracer in a tissue indicates how rapidly it is being taken up, whereas the disappearance indicates how rapidly it is being lost and whether there are multiple pools in the tissue. Obtaining data at a single time point after tracer administration provides no information on the kinetics of a system.
The third component relates to analysis of the kinetic data. To
interpret kinetic curves in a quantitative manner requires computer
modeling, in which the model consists of one or more mathematical
equations. There are a number of approaches to modeling, and the
approach chosen depends on the purpose for the study and the volume of
data (i.e., length of study, number of sites sampled, and so on).
Mechanistic models, such as compartmental models, are useful for
describing the behavior of a system in terms of pools and transfer
pathways. Compartmental models may be large if the purpose is to
explore the underlying physiology or pathophysiology. If the purpose of
the study is to determine a specific characteristic, e.g., the turnover
based on whole body data, a simpler model with fewer parameters may be
sufficient. Both types of models are useful, but it is important to
understand the limitations of each. Complex models have heuristic value
in indicating areas in which data are lacking and in making predictions
for further experimental testing even though not all parameters may be
identifiable from a particular experiment. Simple models tend to lump
together various processes. One example is the use of fecal monitoring,
where absorption is determined as the difference between orally
administered dose and the dose recovered in feces. As described by
Janghorbani et al. (1980)
and simulated by
Wastney and Henkin (1989)
, accurate calculation of
absorption using this model is affected by transit times through the
intestine. Transit times affect how quickly unabsorbed tracer is
excreted and how much absorbed tracer is resecreted. Although simpler
models may be well determined (i.e., all parameters of the model can be
determined with statistical confidence), the values are reliable only
if the model is a correct representation of the physiological system.
Previously computing and software limitations favored the use of
smaller models, but these limitations no longer need apply.
Kinetic studies in humans.
Some kinetic studies (Babcock et al. 1982
,
Fairweather-Tait et al. 1993
, Foster et al. 1979
, Henkin et al. 1984
, Lowe et al. 1993
, 1997
, Miller et al. 1998
,
Scott and Turnlund 1994
, Wastney et al. 1986
, 1991
, 1996
) involving zinc
that include the three criteria described above (use of tracers,
collection of data over time and analysis of the data with the use of a
model) are listed in Table 1
. Earlier studies used radioactive isotopes, and this allowed data
collection external to the body and for the studies to be performed for
a longer duration. After the development of techniques for their
analysis in biological tissues, stable isotopes have been used in many
studies conducted during the past decade. Fewer sampling sites are
available with stable isotopes, and some investigators have used models
with lumped compartments to analyze the data. It also is appropriate to
apply the more extensive models developed from radioisotope data to the
studies with stable isotopes.
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Zinc kinetics have been determined in healthy subjects consuming either
normal or relatively high amounts of zinc. By comparing the changes in
the kinetics attributable to zinc intake, it was found that processes
at five sites, including absorption and excretion, are regulated to
maintain tissue levels during high zinc intake (Wastney et al. 1986
). By comparing kinetic data in healthy adults age 2084
y, it was shown that although a few values changed while subjects
consumed their normal dietary intake of zinc, there were significant
changes with age at four sites of zinc regulation when the subjects
consumed supplemental zinc (Wastney et al. 1992
). The
results may indicate either a reduced need for zinc or a reduced
ability to regulate the amount of zinc retained with aging.
Rates of zinc absorption and retention have been ascertained in preterm
infants (Wastney et al. 1996
). Because the infants were
growing during the study, it was necessary to model both tracer and
tracee (total zinc). In addition, it was necessary to model clinical
interventions, such as blood transfusions, because the administration
of adult blood cells provided a significant source of zinc to the
infants. The results from a population of infants who were healthy and
growing at expected rates (Wastney et al. 1999
) can be
used to evaluate zinc metabolism and requirements in infants who are
sick or growing slowly.
By comparing zinc kinetics in subjects with normal, high or low copper
intake, Scott and Turnlund (1994)
investigated sites of
interaction between copper and zinc and the degree of interaction at
each site. They reported that zinc absorption was lower on high copper
intake (28 versus 34%, respectively). This is the only report of which
we are aware that used zinc kinetics to study elementelement
interactions.
Kinetic studies in animals.
Animal studies allow a greater understanding of kinetics because more
tissues can be sampled and environmental and genetic factors can be
controlled. Table 2
shows some studies of zinc kinetics in animals (Dunn and Cousins 1989
, House and Wastney 1997
, Lowe et al. 1991
, Lowe et al. 1995
, Popov and Besel 1977
, Serfass et al. 1996
). In one study with
rats (House and Wastney 1997
), zinc kinetics were
measured in 15 tissues, and the data were analyzed using modeling
techniques. In addition to providing baseline values for healthy
animals, the study (House and Wastney 1997
) revealed the
existence of slow and fast pools of zinc in muscle and bone and showed
that three pools observed in humans, which turned over in 4 h,
1.3 d and 50 d, were consistent with kinetics in kidney,
spleen and testes, respectively, in rats.
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Dunn and Cousins (Dunn 1991
, Dunn and Cousins 1989
) studied the effect of metallothionein induction on zinc
kinetics in vivo in rats. They found that induction caused increased
redistribution of zinc among body tissues; there was a fourfold
increase in zinc uptake by liver metallothionein and a 85% decrease in
release of zinc from hepatic metallothionein. The kinetics provided an
understanding of the mechanisms involved in zinc redistribution between
tissues and between pools within liver after metallothionein induction.
Kinetic studies in animals will provide information on the overexpression of and deletion of genes coding for specific proteins involved in zinc transport and metabolism. By comparing kinetics in wild types with those in mutants, the role of specific proteins can be determined in vivo. Studies are in progress to describe the role of metallothionein on zinc kinetics in knockout mice (House, W. A. & Wastney, M. E., unpublished data).
| Opportunities provided by new analytical techniques |
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| Kinetic studies of the role of zinc in health |
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To understand the roles of zinc in metabolism, kinetic studies are
needed in both healthy and disease states. For example, zinc kinetics
in healthy preterm infants (Wastney et al. 1996
,
1999
) could be used to assess whether zinc metabolism is
perturbed in infants who are growing at suboptimal rates and, if so, at
which sites. By knowing whether zinc absorption, endogenous excretion
or uptake by tissues is perturbed, rather than whether serum levels are
altered, it may be possible to more fully understand the role of zinc
in human health and to devise therapeutic strategies and dietary
recommendations.
| Areas for research using kinetic studies |
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With respect to nutrition, kinetic studies can be used to determine the sites where zinc interacts with other nutrients, including trace elements, vitamins and macrominerals; to determine the degree of interaction; and to predict how these interactions may alter zinc requirements. With respect to physiology, kinetic studies could address how rates of zinc metabolism and pool sizes change under different physiological and clinical conditions, such as during growth or pregnancy. By comparing kinetics in healthy and various disease states, the roles of zinc in disease may be elucidated through the identification of differences in metabolic processes. From an environmental perspective, it is important to know how zinc interacts with nonessential metals, and this information can be obtained from kinetic studies. Finally, a powerful use of kinetics will be to study and define the role of gene products in vivo by comparing kinetics in the wild type versus conditions in which the genes are overexpressed or missing. In conclusion, although tissue levels provide a snapshot of the zinc status, kinetic studies allow the exploration of mechanisms, such as the pathways of metabolism, rates of movement and sites of homeostasis, that vary with conditions such as diet, genetics and disease.
| FOOTNOTES |
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2 Supported by National Institutes of Health R01-DK53787. ![]()
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