Keywords
Generalized additive models - pancreas - percentile curves
Introduction
The dimensions of abdominal organs like kidney, spleen, and pancreas have potential
significance. A multitude of medical conditions is associated with the changes in
the volume and size of these organs. The pancreas continues to grow until approximately
the age of 25 years. Normal pancreas across individuals seems to show a great variation
in size.[1] The assessment of normal pancreatic size is an integral part of the evaluation of
pancreatic diseases for both diagnostic and prognostic purposes.
Currently, sonography is used as a radiologic noninvasive procedure of choice in the
examination of children with symptoms referable to pancreas.[2],[3],[4],[5],[6],[7],[8],[9],[10],[11] The most widely used criteria for determining the presence or absence of pancreatic
diseases are based on alterations of pancreatic size, contour, and echotexture. Hence,
it becomes important to evaluate the normal size, morphology, and echogenicity of
pancreas at various stages of development.[3],[4] Data on normal pancreatic dimensions are available on western population.[3],[4] The question is, whether these can be extrapolated to Indian children, as there
is no reference for pancreatic size in the Indian population.
The main purpose of this study was to determine the variability of anteroposterior
(AP) diameters of head, body, and tail of pancreas ultrasonically by considering demographic
and anthropometric parameters and develop percentile reference values for normal pancreatic
dimensions for children under Indian context.
Materials and Methods
This was a cross-sectional study in which 1078 children in the age range of 1 month
to 19 years attending a pediatric center during the period July 2016 to December 2017
were considered. The inclusion criteria were (a) normal healthy siblings of patients
attending outpatient department and those visiting for vaccination, and (b) those
children without any clinical or laboratory evidence of pancreatic disorder, like
acute pancreatitis, which is most common among pancreatic disorders. Children with
protein energy malnutrition (according to Indian Academy of Pediatrics classification),[12] type I diabetes mellitus,[13] cystic fibrosis,[14] premature infants[3] and clinical or laboratory evidence of hepatic diseases,[3],[15] and obesity,[16] where echogenicity gets altered, were excluded from the study. Proper consent was
obtained from accompanying parents for ultrasonography (USG) evaluation, and the protocol
was approved by the institutional ethics committee. A single radiological center from
the city was identified for abdominal sonography. Parameters like age, gender, height,
and weight of the subjects were recorded at the time of examination. The Goldtech
instrument from Precision electronic instruments company, New Delhi was used for weighing
infants, while older children were measured using instrument by Detecto Medic Scales
Inc., USA. Weights were recorded to the nearest 100 g. The supine lengths were measured
on an infantometer in children below 2 years and standing height was measured on stadiometer
in children above 2 years to the nearest 1 mm.
Abdominal sonography
A single qualified radiologist with over 25 years of experience was involved in the
USG evaluations. Observations were repeated thrice to account for the intra-observer
reliability. The average of three observations was reported for analysis. While selecting
the abdominal sonogram, emphasis was on pancreatic dimensions, shape, echogenicity,
calcification, and the status of the main pancreatic duct. The echogenicity of pancreas
was compared to the texture of the region in the left lobe of liver. The sonographic
examination was mostly conducted in morning hours, in supine position to eliminate
the difference of dimensions in different positions.[4],[15] Some children required nearly 200–400 ml of water to drink to delineate the image
of pancreas, which could have been obscured by the gas in the stomach. No other pretreatment
was used.[4],[15] A well-calibrated Sonoacc X8 Medison-Korean (SAX8) with 3.5, 5.0, and 7.5 MHz sector
electronic probes properly focused on the pancreas after adequate gain setting was
used during the course of study. A sample abdominal USG showing pancreatic parts with
L1 vertebra is shown in [Figure 1].
Figure 1: A sample abdominal USG showing pancreatic parts with L1 vertebra
Anatomical landmarks for head, body, and tail of pancreas
The diameters of head, body, and tail were measured perpendicular to the long axis
of the organ. A reliable diagnosis depends on the analysis of adjacent structures
of pancreas. For measuring head of pancreas, duodenum, which envelops the lateral
and caudal contour of the head, was taken as a landmark for measurement.[3],[4] The superior mesenteric artery and splenic vein serve as important landmarks, for
localization of the body of pancreas.[3],[4] The splenic vein has a major contribution for localizing the tail of pancreas.[3]
The maximum AP diameters of head, body, and tail of pancreas were measured on transverse/oblique
images. If pancreas was oriented transversely across the abdomen, the entire gland
could be seen in one image. However, the pancreas often had varying degree of obliquity,
with the tail lying more cranial than the head and body. In such cases, multiple images
were necessary to demonstrate the entire gland.[3] Pancreatic echogenicity was determined by comparison with the adjacent liver at
a similar depth on both transverse and longitudinal views. Pancreatic echogenicity
was categorized as less than, equal to, or greater than liver echogenicity.[3],[17] The data on dimensions were analyzed along with anthropometric data using robust
statistical methods.
Statistical methods
The descriptive statistics like mean and standard deviation of the dimensions of head,
body, and tail were obtained for different age, height, and weight categories. The
percentile curves for the three pancreatic parts were obtained as a function of age
using generalized additive models for location, scale, and shape (GAMLSS) stratified
by gender. GAMLSS are semi-parametric regression models, which require a parametric
distribution assumption for response variable, and it is “semi” because modeling parameters
of the distribution may involve nonparametric smoothing functions.[18] GAMLSS are more suited for modeling response variable wherein the shape and scale
of the distribution of response variable change with explanatory variable. In the
present study, each pancreatic dimension was referred as response variable, while
age was treated as explanatory variable. GAMLSS models four parameters as a function
of explanatory variable: the median, the coefficient of variation, the skewness, and
the kurtosis of the best distribution. Different distributions like the Box–Cox power
exponential, the Box–Cox t, the Box–Cox Cole, and Green distribution were fitted to
the distribution of each pancreatic dimension. The goodness of fit was evaluated using
GAIC (k) criterion. Finally, the selected models for each pancreatic dimension were
used to calculate the curves for 5th, 10th, 25th, 50th, 75th, and 95th percentiles. The curves were obtained separately for males and females according
to age. All the analyses were performed using GAMLSS package from R – 3.4.3 (R Core
Team, Vienna, Austria).
The percentile reference curves were digitized wherein the inputs required are the
age of child and the pancreatic dimensions. A point appears on the reference curves for
head, body, and tail indicating the percentile limits for each pancreatic dimension.
The application is available at https://mdsclin.in and can be accessed by keying pancreas as username and password.
Results
The mean age of 1078 children at the time of USG was 6.65 ± 4.43 years and the male-to-female
ratio was 1.63:1. The length/height of subjects ranged from 43 to 166 cm, while weight
ranged from 2.6 to 65 kg and body surface area ranged from 0.18 to 1.54 m2. The descriptive statistics like mean and standard deviation for each pancreatic
section according to age, height, and weight are given in [Table 1]. It shows that the mean dimension for each part increased with the increasing age.
Moreover, the standard deviation also showed increasing trend with age, indicating
heteroscedasticity in the measurements with age. Studentized Breusch-Pagan method revealed significant heteroscedasticity in head measurements, with a P value of 0.0003, while for body and tail, heteroscedasticity was insignificant across
age. Further, mean dimension of each part increased with the increasing height, while
heteroscedasticity was statistically insignificant for all the three measurements.
For weight, the mean dimension for all the three sections increased with the increasing
weight, while heteroscedasticity was statistically insignificant.
Table 1
Dimensions of pancreatic part according to age, height, and weight observed in three
studies
|
Characteristic
|
Levels
|
n
|
Present study (n=1078)
|
n
|
Study by Siegel et al. (n=273)
|
n
|
Study by Ueda (n=93)
|
|
Head
|
Body
|
Tail
|
Head
|
Body
|
Tail
|
Head
|
Body
|
|
Age
|
<1 month
|
30
|
0.53±0.13
|
0.49±0.11
|
0.51±0.13
|
15
|
1.0±0.4
|
0.6±0.2
|
1.0±0.4
|
|
|
|
|
1 month-1 year
|
73
|
0.74±0.19
|
0.70±0.15
|
0.71±0.18
|
23
|
1.5±0.5
|
0.8±0.3
|
1.2±0.4
|
5
|
0.7±0.2
|
0.6±0.1
|
|
1-5 years
|
351
|
0.93±0.30
|
0.86±0.23
|
0.91±0.26
|
49
|
1.7±0.3
|
1.0±0.2
|
1.8±0.4
|
35
|
1.5±0.2
|
0.8±0.2
|
|
5-10 years
|
393
|
1.07±0.31
|
0.98±0.23
|
1.05±0.25
|
69
|
1.6±0.4
|
1.0±0.3
|
1.8±0.4
|
27
|
1.7±0.3
|
0.9±0.2
|
|
10-19 years
|
231
|
1.18±0.34
|
1.04±0.23
|
1.11±0.25
|
117
|
2.0±0.5
|
1.1±0.3
|
2.0±0.4
|
26
|
1.8±0.2
|
0.9±0.1
|
|
Height (cm)
|
<90
|
298
|
0.81±0.25
|
0.76±0.21
|
0.79±0.25
|
|
|
|
|
|
1.1±0.4
|
0.7±0.1
|
|
90-99
|
75
|
0.99±0.30
|
0.90±0.23
|
0.96±0.25
|
|
|
|
|
|
1.5±0.2
|
0.8±0.1
|
|
100-109
|
147
|
1.01±0.32
|
0.97±0.26
|
0.99±0.25
|
|
|
|
|
|
1.6±0.2
|
0.9±0.1
|
|
110-119
|
117
|
1.14±0.32
|
1.02±0.25
|
1.09±0.26
|
|
|
|
|
|
1.6±0.2
|
0.8±0.1
|
|
120-129
|
129
|
1.10±0.32
|
0.98±0.20
|
1.09±0.26
|
|
|
|
|
|
1.7±0.3
|
0.8±0.2
|
|
130-139
|
129
|
1.12±0.29
|
1.01±0.22
|
1.06±0.25
|
|
|
|
|
|
1.6±0.4
|
1.0±0.1
|
|
140-149
|
93
|
1.11±0.39
|
1.01±0.23
|
1.07±0.26
|
|
|
|
|
|
1.7±0.2
|
0.9±0.2
|
|
150-159
|
44
|
1.21±0.41
|
1.09±0.29
|
1.11±0.25
|
|
|
|
|
|
1.8±0.2
|
1.0±0.1
|
|
160-169
|
46
|
1.11±0.25
|
1.02±0.23
|
1.13±0.25
|
|
|
|
|
|
2.0±0.2
|
1.0±0.1
|
|
Weight (kg)
|
1-10
|
205
|
0.79±0.26
|
0.73±0.22
|
0.76±0.24
|
|
|
|
|
|
|
|
|
10-20
|
402
|
0.99±0.30
|
0.91±0.23
|
0.98±0.25
|
|
|
|
|
|
|
|
|
20-30
|
264
|
1.11±0.31
|
1.00±0.23
|
1.08±0.25
|
|
|
|
|
|
|
|
|
30-40
|
106
|
1.11±0.30
|
1.01±0.20
|
1.07±0.26
|
|
|
|
|
|
|
|
|
40-50
|
56
|
1.27±0.42
|
1.11±0.30
|
1.17±0.25
|
|
|
|
|
|
|
|
|
50-60
|
37
|
1.31±0.33
|
1.09±0.26
|
1.17±0.27
|
|
|
|
|
|
|
|
|
60-70
|
8
|
1.18±0.37
|
0.89±0.13
|
0.98±0.31
|
|
|
|
|
|
|
|
The percentile reference values for head measurement according to age and gender are
shown in [Table 2] and depicted in [Figure 2]. The head dimension increased with age for both males and females. The plots revealed
that the 5th, 10th, and 25th percentile curves for both males and females were almost the same. However, 50th, 75th, and 95th percentile curves for males were higher than that of females, and the difference
was wider for age greater than 12 years. For instance, the 50th percentile value for age group 9–12 years in males was 1.12, which was higher than
that of females with value 1.05. For age group 15–19 years, 50th percentile value was 1.24 in males, which was further higher than that of females
with 1.13. The difference of centile values of head between males and females ranged
between 0.01 and 0.23.
Table 2
Percentile reference values for head of pancreas using generalized additive models
for location, scale, and shape in normal Indian children
|
Age (years)
|
Percentile for male
|
Age (years)
|
Percentile for female
|
|
5
|
10
|
25
|
50
|
75
|
95
|
5
|
10
|
25
|
50
|
75
|
95
|
|
0.01-1
|
0.50
|
0.54
|
0.63
|
0.77
|
0.94
|
1.21
|
0.01-1
|
0.45
|
0.48
|
0.57
|
0.75
|
0.98
|
1.26
|
|
1-3
|
0.56
|
0.61
|
0.72
|
0.88
|
1.08
|
1.40
|
1-3
|
0.51
|
0.56
|
0.67
|
0.86
|
1.13
|
1.51
|
|
3-6
|
0.62
|
0.68
|
0.80
|
0.98
|
1.21
|
1.57
|
3-6
|
0.58
|
0.63
|
0.75
|
0.95
|
1.21
|
1.64
|
|
6-9
|
0.66
|
0.73
|
0.86
|
1.06
|
1.30
|
1.69
|
6-9
|
0.64
|
0.69
|
0.81
|
1.01
|
1.26
|
1.68
|
|
9-12
|
0.70
|
0.77
|
0.91
|
1.12
|
1.38
|
1.79
|
9-12
|
0.68
|
0.74
|
0.87
|
1.05
|
1.29
|
1.71
|
|
12-15
|
0.73
|
0.80
|
0.95
|
1.18
|
1.45
|
1.88
|
12-15
|
0.72
|
0.78
|
0.91
|
1.09
|
1.31
|
1.74
|
|
15-19
|
0.76
|
0.84
|
1.01
|
1.24
|
1.53
|
1.99
|
15-19
|
0.76
|
0.83
|
0.95
|
1.13
|
1.34
|
1.76
|
Figure 2: Percentile curves of head of pancreas according to gender in normal Indian children
On similar lines, the percentile reference values were obtained for body of pancreas
as shown in [Table 3] and the curves are shown in [Figure 3]. The body dimension also increased with age for both males and females. The percentile
values for males were marginally higher as compared to females in each group as evident
from the table and also evident through figure. For instance, the 50th percentile value for age group 9–12 years in males was 1.01, which was higher than
females with value of 0.98. The difference of centile values between males and females
ranged between 0.01 and 0.08.
Figure 3: Percentile curves for body of pancreas according to gender in normal Indian children
Table 3
Percentile reference values for body of pancreas using generalized additive models
for location, scale, and shape in normal Indian children
|
Age (years)
|
Percentile for male
|
Age (years)
|
Percentile for female
|
|
5
|
10
|
25
|
50
|
75
|
95
|
5
|
10
|
25
|
50
|
75
|
95
|
|
0.01-1
|
0.48
|
0.54
|
0.63
|
0.74
|
0.87
|
1.07
|
0.01-1
|
0.44
|
0.49
|
0.58
|
0.70
|
0.84
|
1.12
|
|
1-3
|
0.57
|
0.62
|
0.71
|
0.84
|
0.98
|
1.21
|
1-3
|
0.52
|
0.57
|
0.67
|
0.80
|
0.97
|
1.28
|
|
3-6
|
0.63
|
0.69
|
0.79
|
0.91
|
1.06
|
1.33
|
3-6
|
0.58
|
0.64
|
0.75
|
0.89
|
1.06
|
1.37
|
|
6-9
|
0.68
|
0.73
|
0.83
|
0.97
|
1.13
|
1.41
|
6-9
|
0.64
|
0.69
|
0.80
|
0.94
|
1.11
|
1.42
|
|
9-12
|
0.72
|
0.77
|
0.87
|
1.01
|
1.18
|
1.48
|
9-12
|
0.68
|
0.73
|
0.84
|
0.98
|
1.15
|
1.45
|
|
12-15
|
0.75
|
0.80
|
0.91
|
1.05
|
1.22
|
1.54
|
12-15
|
0.71
|
0.77
|
0.88
|
1.02
|
1.19
|
1.48
|
|
15-19
|
0.78
|
0.84
|
0.94
|
1.09
|
1.26
|
1.60
|
15-19
|
0.75
|
0.81
|
0.92
|
1.06
|
1.23
|
1.52
|
[Table 4] provides the percentile reference values for tail of pancreas and [Figure 4] shows the percentile curves as per gender. The percentile values increased with
the increasing age for both gender types. Up to 75th percentile, the increase in dimension with age was almost similar for both males
and females. However, beyond 6 years, the 95th percentile values for females were higher than that of males. The difference of centile
values between males and females ranged between 0.01 and 0.16.
Figure 4: Percentile reference curves for tail of pancreas according to gender in normal Indian
children
Table 4
Percentile reference values for tail of pancreas using generalized additive models
for location, scale, and shape in normal Indian children
|
Age (years)
|
Percentile for male
|
Age (years)
|
Percentile for female
|
|
5
|
10
|
25
|
50
|
75
|
95
|
5
|
10
|
25
|
50
|
75
|
95
|
|
0.01-1
|
0.50
|
0.55
|
0.65
|
0.77
|
0.92
|
1.16
|
0.01-1
|
0.48
|
0.52
|
0.60
|
0.74
|
0.91
|
1.13
|
|
1-3
|
0.58
|
0.64
|
0.75
|
0.89
|
1.05
|
1.33
|
1-3
|
0.56
|
0.61
|
0.71
|
0.86
|
1.04
|
1.32
|
|
3-6
|
0.65
|
0.71
|
0.83
|
0.98
|
1.15
|
1.44
|
3-6
|
0.62
|
0.68
|
0.80
|
0.96
|
1.15
|
1.47
|
|
6-9
|
0.70
|
0.77
|
0.89
|
1.04
|
1.21
|
1.50
|
6-9
|
0.67
|
0.74
|
0.86
|
1.02
|
1.21
|
1.57
|
|
9-12
|
0.74
|
0.81
|
0.93
|
1.08
|
1.26
|
1.55
|
9-12
|
0.70
|
0.78
|
0.91
|
1.08
|
1.27
|
1.65
|
|
12-15
|
0.77
|
0.84
|
0.97
|
1.12
|
1.30
|
1.59
|
12-15
|
0.73
|
0.82
|
0.96
|
1.12
|
1.31
|
1.71
|
|
15-19
|
0.81
|
0.88
|
1.01
|
1.16
|
1.34
|
1.63
|
15-19
|
0.77
|
0.86
|
1.01
|
1.17
|
1.35
|
1.79
|
Discussion
The dimensions of normal pancreas show great variation,[1] as observed in the present study. The study revealed that mean dimension of head
and tail for the study group was smaller than that reported by Seigel et al.,[3] while the mean dimension for body was nearly similar. The dimensions of head and
tail were nearly same in each age group, which corroborates with the findings by Seigel
et al.[3] Normal dimensions described by Ueda[4] in short axis for head are more in all age groups as compared to those observed
in this study; however, the observations for body were quite close with his study.
Normal dimensions of each part were also studied as a function of height. The mean
diameter of head was smaller compared to the diameter on short axis, as reported by
Ueda, while the mean diameter of body observed in the study was quite close to that
reported by Ueda.[4] The reason for this discrepancy is not clear but may reflect the difference of physical
constitution according to races in same age groups, and also perhaps the influence
of genetic and environmental factors across population.[1] Pancreatic iso-echogenicity was observed in all the studied cases. Hypoechogenicity
was reported in 10% cases by Seigal et al.[3]
This study provides age- and gender-specific percentile reference values for the three
pancreatic parts based on a sample of 1078 normal children. At present, such data
are not available under Indian context. The age-specific percentile values of head
and body for males were higher than that of females. However, for tail, the values
were close for gender types till 75th percentile, but differed in 95th percentile, and were higher for females as compared to males.
Utility of Percentile Curves
Utility of Percentile Curves
The derived centile plots for three pancreatic parts can be referred by radiologists
or clinicians to opine about the normal or abnormal dimensions of pancreas in children.
For a new subject with specific age and gender, the pancreatic dimensions as obtained
through USG can be mapped onto the respective percentile plots and may be interpreted.
Moreover, certain disease conditions are known to influence the dimensions of pancreas.
Diseases like acute pancreatitis result in the enlargement of pancreatic size, while
some may diminish in size, as observed in cystic fibrosis. USG findings under disease
condition and the findings when the patient is asymptomatic for the disease can be
used to understand the percentile shift in the dimensions of each part and thereby
increase the diagnostic strength of pancreatic-related illness.
In summary, this study has established the normal size limits for the pediatric pancreas
as determined by the measurement of AP diameter with real-time sonography. Based on
this study, the dimensions falling within 5th and 95th percentile along with iso-echogenicity can be regarded as normal. If the dimensions
lie outside these limits, along with change of echogenicity, then such cases may be
screened further for pancreatic disorders. We believe that a more comprehensive effort
is needed to include representative samples from different parts of the country so
as to address the biological diversity in pancreatic measurements.
Acknowledgments
The authors would like to acknowledge the support by Ms. Shubhangi Desai, MDS Bio-Analytics
in data analysis and Ms. Trupti Kahate in developing the mobile application for judging
the possible deviations in pancreatic dimensions. Contribution by each author is as
follows: DSR planned and executed the entire study, DVR carried out statistical analysis
of data, VPD provided valuable inputs in the study, and DS contributed in analyzing
radiographic data.