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## Jornal de Pediatria

##
*On-line version* ISSN 1678-4782

### J. Pediatr. (Rio J.) vol.80 no.5 Porto Alegre 2004

#### http://dx.doi.org/10.1590/S0021-75572004000600014

**ORIGINAL ARTICLE**

**Growth
velocity of preterm appropriate for gestational age newborns **

**Lêni M.Anchieta ^{I};
César C. Xavier^{II}; Enrico A. Colosimo^{III}**

^{I}Ph.D.,
Hospital das Clínicas, Universidade Federal de Minas Gerais (UFMG), Belo
Horizonte, MG, Brazil

^{II}Ph.D.; Associate professor, Universidade Federal de Minas Gerais
(UFMG), Belo Horizonte, MG, Brazil

^{III}PhD. Associate professor, Department of Statistics, Institute
of Sciences, Universidade Federal de Minas Gerais (UFMG), Belo Horizonte, MG,
Brazil

**ABSTRACT **

** OBJECTIVE:**
To assess the growth velocity of preterm appropriate-for-gestational-age newborns
through growth curves.

**METHOD:** A longitudinal and prospective study was carried out at two state-operated
maternity hospitals in Belo Horizonte. Two hundred and sixty appropriate for
gestational age preterm infants with birth weight < 2,500 g were evaluated
weekly for body weight, head circumference and length. Growth velocity curves
were constructed based on the derivative of the mathematical equation of the
Count's model applied to somatic growth. Two analyses were made in the present
study: absolute velocity, i.e., weight gain (g/day), and head circumference
and length gains (cm/week); and relative velocity, i.e., weight gain(g/kg/day),
and head circumference and length gains (cm/m/week).

**RESULTS:** The curves of weight gain (g/day) were proportional to birth
weight (the lowest and the highest birth weight neonates gained 15.9 and 30.1
g/day, respectively). The curves of weight gain (g/kg/day) were inversely proportional
to birth weight with increasingly higher rates of weight gain between the first
and fourth weeks (during the third week, the lowest and the highest weight newborns
gained 18 and 11.5 g/kg/day, respectively). Later there was a drop, and by the
12th week the rates were similar for all groups (7.5 to 10.2 g/kg/day). The
curves of relative velocity (cm/m/week) for head circumference and length were
inversely proportional to birth weight; the lower weight preterm newborns had,
the higher head circumference and length growing rates were, compared with those
with more weight.

**CONCLUSION:** The relative velocity is the best parameter to describe the
growth dynamics of preterm infants, especially of those with lower birth weight.
Lower birth weight infants gained more weight, head circumference and length.

**Key words:**
Premature, growth curve, growth velocity.

**Introduction**

Birth weight and
gestational age are strong prognostic factors both for the survival and the
quality of life of a newborn. While many health care strategies have been developed
to overcome the limitations of prematurity, the growth and nutritional support
of such children remains a challenge. Achieving adequate growth and nutritional
support in preterm and low weight newborn babies is often difficult during hospitalization,
not just because of the metabolic and gastrointestinal immaturity, but also
because of the compromised immune function and also because of other complicating
medical conditions.^{1,2} The reference scale used for optimum postnatal
growth for preterm newborn babies has historically been rates of intra-uterine
weight, length and head circumference gain for fetuses of the same gestational
age,^{3} However, a more exacting reference standard should include
both growth rates and body composition for preterm newborn babies in adverse
conditions; as is the case with the extra-uterine environment. Nevertheless,
such a reference was not identified and could prove difficult to develop based
on current knowledge.^{4}

How to optimize
premature newborns' growth during the neonatal period, and set them on a trajectory
that is closer to that expected of their growth, reducing the prevalence of
failure to thrive, should be decided individually, case by case, depending on
gestational age, physiological development, clinical progress and specific nutritional
intervention.^{5} What is important is that growth rates be available
at all times and can be accelerated or reduced according to this assessment.
One should, however, be cautious, particularly in relation to weight, with the
use of absolute growth rates (g/day), which may not be suitable, giving a false
impression of weight gain, whereas relative rates (g/kg/day) demonstrate that
growth is adequate.^{4} This study, by means of longitudinal and prospective
observation of preterm newborn babies, from birth up to the twelfth week of
life, aims at examining absolute gain velocity curves for weight (g/day), head
circumference and length (cm/week) and relative gain velocity curves for weight
(g/kg/day), head circumference and length (cm/m/week), under current neonatal
care conditions in two public maternity units in Belo Horizonte.

**Population,
material and methods**

A longitudinal
study that included preterm, appropriate-for-gestational-age newborns, not twins
or multiples, with birth weights less than 2,500 g, born at the *Odete Valadares*
maternity unit at the *Fundação Hospitalar do Estado de Minas
Gerais* (MOV/FHEMIG) and the *Otto Cirne* maternity unit at the *Hospital
das Clínicas at the Universidade Federal de Minas Gerais* (HC/UFMG),
from January to December 1996 (260) and whose mothers or guardians consented
to take part. At an earlier date, the weight gain of appropriate-for-gestational-age
newborns was assessed,^{6} resulting in a publication focused on the
weight gain velocity of preterm appropriate-for-gestational-age newborns.^{7}
Later, an assessment was made of somatic growth and growth velocity (weight,
head circumference and length) of adequate and small for age newborn babies.^{8}
Newborn babies with congenital infections and/or severe congenital malformations,
severe neurological conditions, unfavorable clinical progress that made measurement
nonviable or interfered with parenteral and/or enteral nutrition, drug and chemical
substance use by the mother, enteral feeding started after the first week of
life and death during the study period. This investigation was approved by the
Ethics Committee at the *Universidade Federal de Minas Gerais*.

Gestational age
was estimated based on the gestational age calculated from information on the
date of last menstruation, accepted as correct, and confirmed by ultrasound,
performed before 20 weeks' pregnancy. If the difference between the information
given by the mother and ultrasound was greater than one week, the gestational
age as estimated by ultrasound took precedence. In cases of maternal uncertainty
and the absence of ultrasound, age estimated by the date of last menstruation
was confirmed by the clinical-neurological method,^{9 }accepting a difference
of up to 2 weeks. In the absence of other information, just the clinical-neurological
examination was used.^{9}

The adequacy of
intrauterine growth was assessed using curves developed by Lubchenco et al.,^{10}
and those newborn babies between the 10th and 90th percentiles were considered
adequate for gestational age and those below the 10th percentile, small for
gestational age.

Measurements for weight, head circumference and length were taken at birth, on the third day, and, from the seventh day onwards, weekly until the 84th day of life (12 weeks). Maximum admissible tolerance for these measurements was a maximum of 3 hours after birth, ±1 day on the third and seventh days and ±2 days from the 14th to the 84th days. Clinical progress, fluid and calorie intake were also monitored at the same intervals. The newborn babies were grouped according to birth weight at 250 g intervals, with the lower limit being 750 g (inclusive) and the upper 2,500 g, exclusive.

Nutritional management
followed the normal routine for nutritional care and had the objective of meeting
calorific requirements of 120-130 kcal/kg/day and fluid intake of 180-200 ml/kg/day,
at the end of week ^{2}. Parenteral nutrition, when indicated, was initiated
from the third day onwards and withdrawn when the enteral component attained
approximately 80 kcal/kg/day. During outpatients follow-up, maternal breastfeeding
was always the first choice and when necessary formula for full term newborns
was used.

*Anthropometric
measurements*

The researchers took the weight, head circumference and length measurements (with the exception of the measurements taken at birth), during the morning, one hour before the first feed while the baby was still in hospital, and during the afternoon, always at the same time, during follow-up.

Weight was obtained with electronic scales (Filizola Baby, 15 kg capacity, minimum load 125 g, 5 g divisions and tare — 9 kg), calibrated twice-yearly, or when necessary by the service personnel.

Head circumference was measured by adjusting a flexible, unexpandable, millimeter steel measure to the child's head, passing the supraorbital region in front and the opisthocranion behind.

The newborn babies
were measured with an anthropometric rule.^{11} With the neonate in
decubitus dorsal, one examiner adjusted the head of the child to the cephalic
extremity, in contact with the vertex to the fixed plate, while a second examiner
extended the legs and firmly pressed the soles of the feet against the moveable
extremity.

*Statistical
model*

The software Epi
Info, version 6.0 was used to calculate means, medians and standard deviations.
The database containing weight, head circumference and length data was subjected
to statistical study with the objective of obtaining mathematical models which
could explain the behavior of the longitudinal growth data and also of obtaining
velocity curves. Hauspie^{12} performs an excellent review of some of
the mathematical models that are proposed in literature to explain the behavior
of growth curves. From that paper the following models were selected:

1a. Second order
polynomial:

*y = b _{0} + b_{1}*time + b_{2} *time*

1b. Third order
polynomial:

*y = b _{0} +b_{1} *time + b_{2} *time + b_{3}
*time^{3}*

2. Logistic:

3. Monomolecular
(Jenss-Baykey):

*y = alpha + p* time -exp(b _{0} + b1 *time)*

4. Count: *y
= alpha + p* time + b _{0 LN(time + 1)}*

where:

*y* is the estimated weight or head circumference or length (at each point)

*b _{0}, b_{1}* and

*b*are estimated coefficients

_{2}*p*is the number of model parameters

The regression models cited above were adjusted by the least squares method using statistical software (SPSS). Models 2 and 3 have nonlinear parameters and require special adjustment routines. Models 1a, 1b and 4, however, have linear parameters and routines for their adjustment are included in all statistical software and even spreadsheets such as Excel. Parameters were estimated considering all sampling values as well as by taking just the means for each recording time. All predicted curves closely followed the observed curves. However, only Count's curve demonstrated a decrease in the second reading time (3 days). A numerical criterion extensively used to discriminate nonlinear regression models is the adjusted coefficient of determination, expressed as follows:

where:

n: sample size,

p: number of model parameters,

*R ^{2}* : adjusted coefficient of determination by least squares.

Count's model also behaved the best, according to this criterion, for the three variables under study. Therefore, based on these results, Count's model was chosen.

Growth velocity was analyzed in two different ways: absolute velocity, i.e. the rate of gain in weight (g/day), head circumference and length (cm/week); and relative velocity, i.e. the rate of gain in weight (g/kg/day), head circumference and length (cm/m/week). Absolute velocity was obtained using the mathematical equation derivative of Count's model:

Using estimated parameter values (weight, head circumference and length) for the Count model, velocity curves were obtained for the different birth weight categories. For the weight variable, rates are negative (weight loss) until the seventh day and then positive for the remainder of the follow-up period. For this reason curves are given from the first week of life onwards. Rates for head circumference and length are negative in some birth weight categories, primarily for those newborn babies with lowest weights, but positive in others. This being so, it was decided to present these velocity curves from the first week of life on too.

Relative velocity was obtained by dividing the mean weight gain (g/day) by the mean weight (g) at each monitoring point, from the point at which original birth weight was attained once more until the end of the study. The head circumference and length variables were dealt with using the same methodology, but results were presented by weeks.

Figures 2, 3 and 8, presented in the results, are reproduced from the Brazilian Journal of Medical and Biological Research (2003;36:761-70) with the prior authorization of its editors.

**Results**

Two hundred and sixty of the 270 preterm newborn babies that were classified as adequate for their gestational age, singletons, with birth weights below 2,500 g, and had been enrolled on the study were followed up (loss of 3.7%). Of these 260 newborn babies, 179 (68.8%) were born at the MOV/FHEMIG.

Table 1 presents some of the characteristics of the newborns, including nutritional aspects, by birth weight category. Mean calorie intake (enteral plus parenteral) above 120 kcal/kg/day is only reached after the third week of life, and the enteral diet is later the lower the birth weight. Exclusive breastfeeding predominates only until the 14th day (46.2% of the babies) and from the 21st day on, exclusive maternal breastfeeding (35.4%) associated with mixed feeding, i.e. breastmilk plus infant formula (21.1%) predominate over artificial feeding, defined here as the exclusive use of baby formulae or cow's milk in natura associated or not with sugar and flour (43.5%). At the end of the study, 35% of the children being monitored were on exclusive maternal breastfeeding, 18.8% on a mixture of breastmilk and baby formula, and 46.2% artificially fed.

Figure 1 shows the variation in the number of children over the study period. Observe that, in curve 1, 77.8% of the newborn babies were still being followed up at 84 days, with respect of the original number, that in curve 2, 60% remained in curve 3, 70% and in curve 4, 51.9% of the original number of newborn babies were still being monitored. In curve 5 observe that 44.7% remained in the study and that in curves 6 and 7, 56.6 and 47.6% of the newborn babies, respectively, remained.

Figure 2 shows the absolute weight gain velocity (g/day) and, for all curves, there is a gradual increase in weight gain rate. The largest newborn babies (curve 6) gain practically twice as much weight as the smallest (curve 1) over the follow-up period, with weight gain at the third week being, respectively, 33.3 and 15.9 g/day for curves 6 and 1, and at week twelve, 41.4 and 22.1 g/day for the same curves.

Figure 3 demonstrates the relative velocity for weight gain (g/kg/day). There is an increase in the weight gain rate from the first to the fourth week for all curves, and, from thereon, a gradual reduction, and at the twelfth week the curves tend to convergence, with very similar weight gain rates. The weight gain increment varied from 18 g/kg/day (curve 1) to 11.5 g/kg/day (curve 7) at the third week and from 10.2 g/kg/day (curve 1) to 7.5 g/kg/day (curve 7) at week twelve.

The absolute velocity of head circumference increase (cm/week) is depicted in Figure 4. In curves 1, 2, 3 and 4 there is initial growth acceleration and the smaller the baby, the larger this acceleration's increment becomes. Furthermore, the head circumference growth velocity of smaller newborn babies progressively increases (curve 1 newborns have a rate of 0.55 and 0.89 cm/week, respectively, at the first and twelfth weeks). In curve 5, the rate of growth decreases gradually until week seven, from which point in maintains steady until the twelfth. The larger newborns (curves 6 and 7) exhibit a constant head circumference growth velocity, with rates of 0.62 and 0.57 cm/week, respectively.

The relative head circumference gain velocity (cm/m/week) better describes the acceleration and deceleration of head circumference growth (Figure 5). In curves 1 and 2, there is a greater head circumference increment, during the first 4 weeks of life (in curve 1, the rate increases from 2.31 to 3.14 cm/m/week and in curve 2 from 1.96 to 2.69 cm/m/week, from the first to the fourth week). In curves 3 and 4 there is also increase in head circumference, but at much slower rates. During the first week, the rates are 2.09 and 1.94 cm/m/week, respectively, and greatest head circumference rates are attained during the fourth week, values being 2.47 cm/m/week for curve 3, and 2.26 cm/m/week for curve 4. Later, all of these curves have a progressive reduction in growth rate. For curves 5, 6 and 7, head circumference growth rate, exhibits deceleration right from week one.

Figure 6 represents the absolute length gain velocity (cm/week). While the smaller newborn babies (curves 1 and 2) did not exhibit faster length growth rates than did the newborn babies on the other curves, the first have greater growth velocity. Thus, the newborn babies on curve 1 who, in the first week, presented a rate of 0.04 cm/week, gradually increased this rate and reached 1 cm/week at the 12th week, and those on 2 also increased their rate from 0.25 cm/week to 0.98 cm/week from the first to the 12th week. The newborns on curves 3 and 4 who, in the first week, had a growth rate of 0.51 cm/week exhibit the highest length gain rates, achieving a rate of 1.1 cm/week by the 12th week. The larger babies (curve 5 and 6) present a discrete increase in length gain rate. Those newborns on 5, exhibited first-week values of 0.71 cm/week, increasing to 0.99 cm/week by the 12th week, while those on curve 6 increased from 0.89 to 0.99 cm/week, from the first to the 12th week. The newborn babies on curve 7 had an initial deceleration, and the rate of 1 cm/week at week one dropped to 0.9 cm/week in the 12th week. Count's model shows the increase in means between the third and seventh day as a deceleration.

The relative length gain velocity in cm/m/week (Figure 7) demonstrates more clearly how length growth occurs. The lower weight newborn babies (curves 1, 2, 3 and 4) exhibited greater length gain, during the first 5 weeks of life, with a progressive deceleration of the rate thereafter. The larger babies, (curves 5, 6 and 7) progressed with a diminishing length growth velocity, with the heavier the birth weight the earlier the reduction. Thus, the newborns on curve 1 accelerated their growth from the first (0.13 cm/m/week) until the seventh week of life (2.42 cm/m/week) and thereafter reduced the velocity of length growth. Curves 2, 3 and 4 progressed in a very similar manner, with curve 3 overtaking curve 2, and this last, from the sixth week on, follows curve 4 very closely. The rate of velocity, during the first week, is 0.66 cm/m/week, 1.27 cm/m/week and 1.24 cm/m/week, respectively, for curves 2, 3 and 4, with newborn babies on curve 2 attaining maximum velocity between the sixth and seventh weeks (2.20 cm/m/week), and those on curves 3 and 4 peaking between the fifth and sixth weeks, with rates of 2.29 cm/m/week and 2.23 cm/m/week, respectively. On curve 5, the increment in the length rate is 1.65 cm/m/week to 2.03 cm/m/week, from the first to the fourth week of life. Curves 6 and 7, from the first week on, present a deceleration in growth velocity.

Growth dynamics can also be evaluated taking into account both the relative velocity and somatic growth curves in relation to corrected gestational age. On curve 1, the mean gestational age is 28 weeks, on curve 2, 31 weeks, on curve 3, 32 weeks, on curve 4, 33 weeks, on curves 5 and 6, 34 weeks and on curve 7, 35 weeks. Observe, in Figure 8, that the newborn babies with the lowest weights exhibited the greatest rates of weight gain and that there is a tendency for them to approach and catch up the weight of the larger neonates. Figure 9 makes clear that the newborn babies of lowest gestational age have the greatest head circumference growth velocity, and even present peak velocity. Also observe, from the angle of curve 1, that the babies of lowest gestational age tend to attain the head circumference of those with greater gestational age. This growth dynamic observed with weight and head circumference growth is not repeated with length (Figure 10). Observe that the newborns of lower gestational age remain smaller.

**Discussion**

Little is known
about the postnatal growth dynamics of preterm newborn babies, as evaluated
by velocity curves. The majority of papers of growth in relation to birth weight^{14-24}
do not include velocity curves. Nevertheless, such curves are important since
they permit a better understanding of the accelerated and normal growing phases
of premature infants than do simple values expressed in g/day (cm/week) or g/kg/day
(cm/m/week).

During the accelerated
growth phase, analyzing absolute velocity (

Later, the babies
achieve normal growth velocity, depending on their growth path. There is a progressive
increase in weight gain in g/day (Figure 2), which is directly
proportional to birth weight, until the seventh week, when weight gain becomes
more stable. With time, the difference in weight gain reduces, although the
largest newborn babies present the highest rates. It is possible that the reduction
in the difference between the mean weight gains (g/day) of the different categories
is a result of the fact that the smaller newborns accelerate their growth, which
becomes obvious when relative velocity is analyzed (g/kg/day). Average weight
increase velocities in g/kg/day (Figure 3) are inversely
proportional to birth weight, being higher among those newborn babies of lower
weight. From the sixth week onwards, there is a deceleration in rates of weight
increase, with the values of these rates drawing together at the end of the
study (12th week), probably translating into smaller newborns, after a period
of acceleration catching up and maintaining a growth rate similar to that of
the larger ones.^{6,25-27}

The analysis of
the rate of head circumference increase, both in cm/week (Figure
4) and in cm/m/week (Figure 5) is very similar. In
both the increase in head circumference is inversely proportional to birth weight,
i.e. the smaller the weight, the greater the increase in head circumference.
The newborn babies on curves 1, 2, 3, and 4 (gestational ages of 27, 29, 31
and 32 weeks, respectively), present increases in head circumference, during
the first 4 weeks, the phase of greatest growth acceleration. Furthermore, while
they continue to exhibit an increase in head circumference growth, this increase
reduces progressively, after maximum acceleration. On curve 5, the mean gestational
age is 34 weeks, and on curves 6 and 7 it is 35 weeks and during this period
of the study only the deceleration phase of head circumference growth is evident.
With respect of head circumference growth velocity, there is an increase in
head circumference velocity for the smaller newborn babies until a peak is reached,
from which there is a gradual reduction in velocity, although there are differences
of opinion over the timing of this peak and whether it varies or not with gestational
age.^{25,28,29 }

For length, it
is only with relative velocity (Figure 7) that it can be
observed that length gain (cm/m/week) is inversely proportional to birth weight.
The length rate curves 1, 2, 3 and 4 increase until the fourth and fifth weeks,
and, after a period of constant values, begin to drop off, and at the end of
the study these curves tend to run together. Curve 1, with lowest gestational
age, presents the highest growth velocity. On curves 5 and 6 there is a small
increase in length, followed by deceleration of growth and, on curve 7, growth
velocity reduces from week one on, probably as a result of the older gestational
ages. Brandt^{25} reports that after peak length growth velocity, rates
are constant and growth occurs with a constant reduction in rate.

While velocity
curves remain little used in clinical practice, they hold important information,
primarily on relative velocity. The rates of weight, head circumference and
length incorporation appear to be closer to an analysis of growth dynamics,
demonstrating to what extent smaller newborn babies exhibit greater growth velocity
in relation to the largest and tend to catch them up, agreeing with published
literature,^{6,25-27} which may not be perceptible using somatic growth
curves or absolute velocity curves (g/day).

**References**

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5. Morley R, Lucas A. Randomized diet in the neonatal period and growth performance until 7.5 — 8 y of age in preterm children. Am J Clin Nutr. 2000;71:822-8. [ Links ]

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**
Correspondence to **

Lêni Márcia Anchieta

Rua Tupis, 426/1104

CEP 30190-060 - Belo Horizonte, MG

Brazil

Phone: +55 (31) 3222.1524

E-mail: lenima@terra.com.br

Manuscript received Jan 26 2004, accepted for publication Jun 23 2004.