Prediction of resting energy from fat-free mass and fat Karl
M Nelson,
Roland
L Weinsier,
expenditure ,2
Calvin
L Long,
and
Yves
Schiti: establish
ABSTRACT ship
On the basis
between
energy adults
fat-free
expenditure (86 males,
model
and
(FFM),
fat
mass
to evaluate
to predict
REE
FFM)
the
(FM),
based
the contribution
+ (13.2
(R2
X FM)
resting
body FM
specific
FM.
their
should
tween
individuals
position. in REE
1265
the
ofenergy
ofthe
model
same
weight also
with
the same
of FM
person
in energy
should
ofindividuals
but
explain
and
to person,
this
expenditure
different some
FFM
to energy
FFM
aerobic
from
for differences
of the
contribution
vary
with tissues
associated
individual
rates
account
This
expenditure
the mass metabolic
model
compo=
rates
Because
associated
to REE.
1) REE
be-
body
ofthe
com-
variability
by taking
into
account
expenditure.
1 1 14 + (90.4
=
0.001);
resting
termined
energy
by the
body.
sum
Presently,
bolically It is not ofeach
organ
the
the
correlation with
88%
rates
of energy
REE
statistical
of the
single
FFM,
predictor
variation
FFM, by
in REE
FFM
Our uate
848
objective the
relative
was
contribution
to develop
a mathematical of FFM
( 1,
be
dissimilar are only
The
grouping
FM
were
and/or
for differences the
the
same
FM
A,n
J C/in
organs
determined
each
were
or
by den-
other.
based
the
of covariance
on the
T
and/
or sex whereas
covariates are
coefficients
SYSTA
FFM
by analysis
on the assumptions
covariates
Regression
with
obesity
variable that
and made
Analysis
means
and
REE
for, were
covariates.
dependent
group
with
between
variables the
of the
in each
FM
I From Birmingham,
(1 7)
for
not
for FFM the
are highly and
following
at Birmingham,
of Lausanne,
2
to
1992:56:848-56.
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Department of Research, Baptist Medical Centers, AL; the Department of Nutrition Sciences, University
University to
and
the
ofAlabama
to eval-
Nuir
con-
(males)
be
has a positive, of the positive,
to REE,
slopes
were
were
20%
>
sets
8 1 of whom
Subjects
was
FM,
data
was determined
controlled
in adjusted
correlated
Address
Baptist
and
obesity
FFM that
obese.
lab-
FFM,
combined females,
fat
composition
relationship
sex and
ofcovanance. tests
were
our
anthropometry. ofthe
with
because
The
body
from
for never-obese
53-
for by FFM.
model
and
selected
I 27 adult
1 32 ofwhom percent
data
loss and
subject.
and
(2). Body
Comparisons or FM,
males
if their
30% (females)
were
for each
and
obese
sets
similar
weight
re-
to
(2-7),
data
listed
with
before
models:
equations
of some
in FFM.
two and
is considered
1) is accounted
ofchanges contribution
meta-
can
investigators
is that
the
the
regression
nonzero
intercept
REE
Despite the
regression of REE on FFM One possible interpretation
is independent
of all
and
Furthermore, the nonzero intercept. REE
in the
However,
expenditure
(5-1
tissues
mass (FFM) of techniques
FM,
various
1). Although of energy
is de-
by indirect calorimetry. specific metabolic rates
techniques.
derived
(Table
humans
expenditures
noninvasively.
to estimate
to FFM
similar
of the
and
between
used
markably best
ofadult
of body composition, fat-free can be measured by a variety
methodologies
the
sum
metabolic
simultaneously
determined relating
of the
(REE)
active tissues can be estimated possible to separately measure
compartments fat mass (FM), 2), and
expenditure
These
nonobese
sitometry The
subjects
of 86 adult
sidered Introduction
(3, 4, 8, 12-15)
were
consisted
loss
REE
for obese
subjects
and
ofFFM and FM to REE was tested by comfrom published data sets that included FM,
reprint
Medical
September
Accepted
for
Printed
requests
Centers,
Received
Birmingham;
Lausanne,
publication
in USA.
to KM
701 24.
and
the Institute
of Physiology,
Switzerland. Nelson,
Princeton
Department
Avenue,
of Research,
Birmingham,
AL 3521
1991. March
17,
1992 American
1992.
Society
for Clinical
Nutrition
1.
ENERGY TABLE 1 Published regression REE
= constant
REE REE REE REE REE REE REE
= 2001
+
2772
+
LBM.
*
equations
=
(k
+
= 1641
+
1972
+
-
of resting
(87.5 (83.7 (91.3 (87.1
= 1729
+ (82.5
= 1026
+
= 1491
+
lean body
(85.4 (95.9
mass;
REE
EXPENDITURE
energy
expenditure
(kJ/24
X
FFM)
r2
x x x X x x X
FFM) LBM) FFM) FFM) FFM) FFM) FFM)
0.67 0.61 0.82 0.68 0.64 0.88 0.53
REE,
resting
energy
AND
expenditure;
h) on fat-free
= constant
+ k2FM
REE
= constant
+ k1FFM
REE
=
In performing made:
these
1) FFM
rates
over
2) FFM
k1FFM
FFM,
fat-free
and
the
FM
range
have
machinery,
and
but
assumptions
and
FM
was made if it includes
investigators
variably
These
data sets were the REE could
with
of FFM sets
and
used,
selected because be calculated
weight
body
or weight
and
composition
anthropometry,
the FFM from the percent
was
or total
body
surfaces
for males
lean
compared
(4)
(Table
results
and
obese
subjects
were
4). The grouping
FFM,
FM,
variable
or both
FFM
the regression lines were be used in interpretation tion
2 for lean
correlated
in
The regres(9, 1 1, 18-27) REE
resulting residuals
(3)
to adipose
measured
7 8 9 10 11
5. The
and
with
obese
FM
adjustments the REE
values.
are ofmales
and
equations
four
equations
and
females
as well
by analysis
FM.
as for
of covanance The
In all cases
covariate
the
slopes
of
The
subjects
REE and
is not
the
slopes
significantly are
nearly
0.055).
=
subjects
made
these
was sex or obesity. and
subjects.
for lean
(P
from of these
not different. However, caution should ofthe analysis ofcovanance for equa-
for FFM (P = 0.006). However, variate, there is no difference
the
the
the
in Figure
report
by
with
4), and
nonhomogeneous of lean and obese
or FFM, sometimes inappropriately. were tested on separate data sets predicted
3 and
are depicted
FM can have a tissue with met-
because a body
5 6
are plotted in Figure 6. The regression equations
k2; and
is equivalent
Reference
(2)
metabolic
ie, k1
terms of LBM sion equations comparing
I
were
independent
in adults,
method
mass.
was
found
to LBM,
tissue. The last assumption metabolic rate if and only
+ k2FM
following
constant
of values
is equivalent
abolic
the
mass*
(eqs
11\
+ k2FM
analyses,
849
Densitometry (n = 1 18) Total body potassium (n = 42) Densitometry (n = 249) Anthropometry (n = 30) Anthropometry (n = 498) Densitometry (n = 24) Total body potassium (n = 35)
V
REE
COMPOSITION
Body-composition
+ k1FFM
= constant
BODY
The difference between the REE still exists when the REE is adjusted when FM in the REE
for FFM, females
there
(P
=
is included 0.740).
(P
is no difference
0.895).
However,
as a coWhen between
when
FM
and FM associated listed mean values body
determined
fat.
In the
data
by densitometry,
potassium.
Results The
relationship
1 . FFM
and
between FM
were
FFM not
and
FM
highly
is presented
in Figure
(r
correlated
=
0.2
1 5,
The body composition and REE ofthe 86 males 127 females are presented in Table 2. The FFM (P < 0.001)
= 0.002).
(P
REE