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© 2020 Journal of Family Medicine and Primary Care | Published by Wolters Kluwer ‑ Medknow	 2448
Introduction
The word “fractal” originates from Latin language “fractus,”
meaning “broken” or “fracture.” This has been used to name a
form or figures that are self‑similar. The significance of fractal
analysis is to characterize complex shapes, which are self‑similar
in nature. Fractal dimensions (FD) are measured as numerical
value.[1]
In fractal analysis, there is processing of the subject which
can be a signal or an image.[1]
FD decreases or increases as the
complexity of the object decreases or increases.[2]
Fractal structures exist in nature and in the human body too,
e.g. brain convolution[3]
 (sulci and gyri), blood vessels,[4]
etc., The
literature suggests that fractal analysis has been used to describe the
irregularities in epithelium, connective tissue interface.[5,6]
Similarly,
various oral pathologies have been diagnosed with the help of
fractal dimension analysis.[6]
A preliminary study by Demiralp et al.[7]
suggesteditsroleinbonychangesinpatientstakingbisphosphonates.
Oral leukoplakia (OL) is a potential malignant epithelial disorder
of oral mucosa.[8]
The frequency of dysplastic change or
malignant potential in OL has ranged from 15.6% to 39.2% in
several studies.[7]
Among general population, the occurrence of
leukoplakia varies from 1%–5%.[9]
Early detection of malignant potential is imperative for timely
intervention and for prevention of malignant transformation.
Role of fractal analysis in detection of dysplasia in
potentially malignant disorders
Javed Iqbal1
, Ranjitkumar Patil1
, Vikram Khanna1
, Anurag Tripathi1
,
Vandana Singh1
, Munshi M.A.I2
, Rahul Tiwari3
1
Department of Oral Medicine and Radiology, King George’s Medical University, Lucknow, Uttar Pradesh, 2
Department of Oral
and Maxillofacial Surgery, Sri Ramakrishna Dental College and Hospital, Coimbatore, Tamil Nadu, 3
Consultant Oral and
Maxillofacial Surgeon, Clove Dental and OMNI Hospitals, Visakhapatnam, Andhra Pradesh, India
Abstract
Background: Fractal analysis is, a noninvasive method, used to determine the intricate characteristics of the matter. Oral
leukoplakia (OL), a potential malignant disorder, has definite propensity to turn in to malignancy. In such lesions, fractal dimension
analysis (FDA) could be helpful in the early detection of malignant transformation. Objectives: To determine the efficacy of fractal
dimension analysis in detecting malignancy potential of oral leukoplakia. Materials and Methods: After ethical clearance, we enrolled
121 patients in our study. Lesions were photographed before and after toluidine staining. Image J software was used to analyze
fractal dimensions (FDs) of digital image and results were compared with biopsy. Results: Fractal dimension value is significantly
higher in leukoplakia with dysplastic changes. FD values increase as age of patients increases. FD value in leukoplakia with different
tobacco products showed more positive correlation with surti/khaini abusers. Conclusion: Fractal dimension analysis is a useful
method in determination of complication in OL cases and can be used as an effective, noninvasive screening tool at primary
healthcare centers for early intervention.
Keywords: Fractal analysis, oral leukoplakia, screening test, toluidine blue
Original Article
Access this article online
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Website:
www.jfmpc.com
DOI:
10.4103/jfmpc.jfmpc_159_20
Address for correspondence: Dr. Vikram Khanna,
Department of Oral Medicine and Radiology, King George’s
Medical University, Lucknow, Uttar Pradesh, India.
E‑mail: drvkomdr@gmail.com
How to cite this article: Iqbal J, Patil R, Khanna V, Tripathi A, Singh V,
Munshi MA, et al. Role of fractal analysis in detection of dysplasia in
potentially malignant disorders. J Family Med Prim Care 2020;9:2448-53.
This is an open access journal, and articles are distributed under the terms of the Creative
Commons Attribution‑NonCommercial‑ShareAlike 4.0 License, which allows others to
remix, tweak, and build upon the work non‑commercially, as long as appropriate credit is
given and the new creations are licensed under the identical terms.
For reprints contact: WKHLRPMedknow_reprints@wolterskluwer.com
Received: 25-01-2020		 Revised: 13-03-2020
Accepted: 23-03-2020		 Published: 31-05-2020
[Downloaded free from http://www.jfmpc.com on Sunday, May 31, 2020, IP: 183.83.46.254]
Iqbal, et al.: Fractal analysis and dysplasia
Journal of Family Medicine and Primary Care	 2449	 Volume 9 : Issue 5 : May 2020
Various techniques and methods have been employed in the
early detection of oral cancer[10]
; however, biopsy remains the
gold standard and confirmatory test. Incisional/excisional
biopsy is an invasive procedure and several patients refrain
themselves from undergoing procedure which indirectly
helps in disease progression and obscures the actual burden
of disease.
Fractal dimension analysis is a noninvasive procedure which can
be easily carried out on high‑quality images of oral leukoplakia
as OL has branching pattern with fractal properties. In addition,
FD analysis is easy to perform and can be carried out by medical
and paramedical staff. Thus, this analysis can be suitably used
at primary level of health care to distinguish dysplastic lesions
from nondysplastic lesions. Therefore, we planned this study
to evaluate the reliability of fractal analysis in the detection of
dysplastic changes in oral leukoplakia and in the early detection
of malignant transformation.
Materials and Method
Patients
The study was approved with reference no. 89ECMIIBThesis/
P74 dated 28/04/2018. The study was conducted in the Oral
Medicine unit of Faculty of Dental Sciences, King Georges
Medical University. The experimental protocol was approved by
Institution’s ethical committee. A structured performa was used
to gather relevant information from each participant. Informed
consent was obtained from all the participants.
Patients reporting to the departmental OPD were screened for
oral leukoplakia after taking thorough history and performing
clinical examination. A total of 121 individuals (males and
females) were included in study group.
Inclusion criteria:
a.	 Age above 18 years.
b.	 Clinically evident leukoplakia in oral cavity.
c.	 Individuals consenting for staining and biopsy procedure.
Exclusion criteria:
a.	 Medically compromised patients.
b.	 Patients who are already enrolled/completed treatment of
oral leukoplakia.
c.	 Patients who are allergic to toluidine blue stain.
d.	 Patients not willing for biopsy procedure.
e.	 Patients who deny or refuse on informed consent.
Digital images of normal mucosa and lesion were taken with Sony
cyber shot digital camera (20.1 MP), before and after staining with
toluidine blue. The digital images obtained were preprocessed by
cropping in a manner involving keratinized mucosa according
to the region of interest (ROI) of size 86 × 124 pixels. ROI
was selected on the basis of toluidine dye retention. The area
of toluidine dye retention was evaluated for FDA and the same
area was biopsied for histopathology examination.
Image analysis
With the help of Image J software version 1.47, the digital
images were processed and obtained. Image were converted in to
binary as described by White and Rudolf.[11]
ROI was duplicated
and blurred with Gaussian filter having diameter 35 pixels. The
resultant image was subtracted from the original image and
grayscale value of 128 was added to it. The image was again
converted in to binary and thresholded to the brightness value
of 128. Subsequently, binary images were eroded, dilated, and
processed as skeletonized images to decrease noise.
Statistical analysis
After image processing, FD of all skeletonized images was
calculated using box counting method. A graph plotted between
box count and box size showed the resultant FD value. The
FD of keratinized/lesion was calculated and compared with
the histopathology report of patient with oral leukoplakia.
The obtained results were statistically analyzed using SPSS
software (students paired t‑test)
Observation and Results
The present study was conducted with the sample size of
121 individuals with OL. The Sociodemographic details of
study population are summarized in Table 1. Participants were
categorized in to group of smokeless and smoke tobacco,
which is depicted in Figure 1. Further categorizing the forms of
smokeless tobacco, we found that the maximum number of the
participants were using tobacco in the form of gutkha followed
by surti/khaini and paan/supari chewers [Figure 2]. Right side
buccal mucosa was the most common site of leukoplakia. Other
than buccal mucosa, mandibular anterior labial vestibule is the
next common site [Figure 3].
On analyzing fractal dimension, we found that the association
of FD value in images (before and after staining with toluidine
blue) was higher in dysplastic cases (mean 1.24 ± 0.16 and
1.18 ± 0.20, respectively) than in nondysplastic (mean 1.12 ± 0.21
and 1.10 ± 0.20, respectively). A highly significant difference was
observed in FD values (before and after stain) between dysplastic
and nondysplastic cases [Table 2].
We also analyzed fractal dimension values according to age and
type of tobacco product used. The FD value (before and after
staining with TB) distribution with age showed increasing trend
with advancing age. A highly significant difference was observed
in FD (before and after staining) values among various age
groups [Table 3]. A significant difference was observed in FD
values of surti/khaini abusers only. This infers that all products
were equally responsible for increased FD values and surti/khaini
was more responsible than others [Table 4].
The correlation of FD values (before and after staining with TB)
with age and duration of smoking and smokeless tobacco was
highly significant [Table 5].
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Iqbal, et al.: Fractal analysis and dysplasia
Journal of Family Medicine and Primary Care	 2450	 Volume 9 : Issue 5 : May 2020
in different areas of human body.[12‑14]
The most common
method of texture analysis is fractal dimension and FD values
are consistently higher in malignant regions.[15‑17]
Recently Metze
et al.[18]
reviewed the role fractal dimension and found that FD
increases in carcinogenesis. In addition, FD has been used for
the classification of breast tumors,[19]
in therapeutic response of
small cell lung cancer[20]
and to differentiate benign and malignant
thyroid nodule.[15]
Figure 3: Distribution of participants according to site of lesion
Figure 1: Distribution of participants according to type of tobacco used
Figure 2: Distribution of participants according to tobacco product
used
Table 1: Distribution of participants according to
demographic profile
Variable No. Percentage (%)
Gender
Male 97 80.2
Female 24 19.8
Place
Rural 58 47.9
Urban 63 52.1
Economic status
Average 101 83.5
Higher 3 2.5
Lower 17 14.0
Total 121 100.0
Table 2: Association of FD value with dysplastic changes
DYSPLASTIC Nondysplastic Dysplastic t P
Mean SD Mean SD
FD before staining
with TB
1.12 ±0.21 1.24 ±0.16 3.64 <0.001
FD after staining
with TB
1.10 ±0.20 1.18 ±0.20 2.17 0.032
Table 3: Distribution of FD value according to age
Age Group FD (before staining) FD (after staining with TB)
Mean SD Mean SD
20-29 years 1.07 ±0.25 1.01 ±0.24
30-39 years 1.14 ±0.20 1.06 ±0.19
40-49 years 1.20 ±0.18 1.11 ±0.17
50-59 years 1.24 ±0.16 1.22 ±0.21
>= 60 years 1.30 ±0.09 1.25 ±0.08
F 3.97 5.61
P 0.005 <0.001
Linear regression models were derived for FD values before and
after staining, which are
FD nonstained = 0.955 + 0.001 (age) +0.144 (bidi/cigarette)
+0.075 (gutkha) +0.026 (pan/supari) +0.017 (surti/khani)
+0.011 (tobacco leaves) – 0.012 (duration) – 0.033 (lower
SES) – 0.026 (average SES) [Table 6]
FD‑stained = 0.907  + 0.002 (age) +0.100 (bidi/cigarette)
+0.058 (gutkha) +0.034 (pan/supari) +0.035 (surti/khani)
+0.035 (tobacco leaves) +0.009 (duration) +0.003 (lower
SES) – 0.072 (average SES) [Table 7]
Where, the tobacco products value was 1 for particular user and
0 for nonuser. Similar values will be taken for socioeconomic
status (SES).
Discussion
The science of texture analysis studies the differential intensity
of picture element values by means of mathematical algorithms.
Based on this texture analysis, various studies have been published
in medical field to study the characteristics of complex structures
[Downloaded free from http://www.jfmpc.com on Sunday, May 31, 2020, IP: 183.83.46.254]
Iqbal, et al.: Fractal analysis and dysplasia
Journal of Family Medicine and Primary Care	 2451	 Volume 9 : Issue 5 : May 2020
Researchers have performed fractal analysis in oral
cancer to compare the morphometric characteristics or
clinicopathological factors in oral squamous cell carcinoma and
normal tissue. It has been shown that FD values from digital
photograph of oral mucosa in cancer patients were significantly
higher than healthy controls. In addition, the measurement
of FD has shown higher values in the region of the dysplasia
thus greater tissue complexity, as compared with normal
mucosa.[21]
This hypothesis was further confirmed by Pandey
et al. who stated the difference in FD value between pre and
posttreated lesions and suggested a decrease in complexity/
keratinization of the lesion following treatment, i.e. regression
of the lesion.[22]
Leukoplakia lesion consists of complicated network of white
patch, arranged in a lattice‑like network. Age, disease progression,
and therapeutic agents could influence the number of elements
in this network, their dimension, and connectivity. Villa and Bin
described the difference between men and women considering
the homogeneity of leukoplakia that female group presented a
more complexity and malignant transformation than the male
group.[23]
The present study revealed that the incidence of oral leukoplakia
was more in males as compared to females with the majority for
participants in 4th
 and 5th
 decade. The study had more or less equal
number of representations from rural and urban areas. Almost
all participants of the study were indulged in consumption of
smokeless form of tobacco which shows that preponderance of
smokeless form more in this particular region. The most common
site of involvement by oral leukoplakia is buccal mucosa with
more than 80% affected either unilateral or bilateral.
On analyzing fractal dimension of the study population, we
found that FD values were significantly high in dysplastic
lesions as compared to nondysplastic lesions. This suggested
that complexity of leukoplakia with dysplastic change is more
and can be compared reliably for leukoplakia without dysplastic
change. Similar results were obtained from Shenoi et al.[24]
and
Deepak[25]
studies where tissues with higher dysplasia showed
higher FD values as compared to tissues with lesser dysplasia.
Goutzenis confirmed that the value of nuclear FD is less in
normal mucosa and stage I carcinoma.[26]
Similarly, Uma Reddy
et al.[27]
conducted a research on pre and posttreated cases of oral
leukoplakia and found a significant difference in FD in pre and
post cases of Oral leukoplakia.
FD value (before and after staining with TB) was higher in the
participants above 40 years of age. It was clear from paired
t‑test that the difference between FD values of different age
groups was significant, and the mean FD value (after staining)
was higher as the age increases. Thus, the pattern of complexity
in leukoplakia was increased as the age advances. Peterson et al.
found that age seemed to have some independent influence,
which might be explained by the fact that oral leukoplakia is a
chronic disease.[28]
The prevalence of leukoplakia increased with
age advancement. It had been estimated that it mainly affects
men over 40 years.[21]
FD values of leukoplakia among different types of tobacco
consumers (bidi/cigarette, gutkha, pan/supari, surti/khaini
and tobacco leaves) showed the highest value and significant
difference in surti/khaini abusers. This suggested that there
was more complexity in leukoplakia of participants consuming
surti/khaini as a tobacco product. Nonsmokers with leukoplakia
had an increased rate of malignant transformation in relation to
leukoplakia in smokers.[29]
FD value of leukoplakia showed a strong correlation with
the age of participants and the duration for which tobacco
products consumed. This infers that complexity of leukoplakia
Table 4: Distribution of FD value according to tobacco
product
Tobacco
Product
Status FD
(before staining)
FD
(after staining with TB)
Mean SD Mean SD
Bidi/Cigarette
No 1.18 ±0.19 1.12 ±0.20
Yes 1.27 ±0.20 1.20 ±0.19
t 1.35 1.23
p 0.179 0.218
Gutkha
No 1.20 ±0.15 1.14 ±0.17
Yes 1.18 ±0.23 1.10 ±0.20
t 0.48 1.29
p 0.631 0.199
Pan/Supari
No 1.20 ±0.19 1.13 ±0.20
Yes 1.16 ±0.18 1.10 ±0.20
t 0.64 0.52
p 0.457 0.605
Surti/Khaini
No 1.17 ±0.20 1.09 ±0.20
Yes 1.25 ±0.13 1.21 ±0.18
t 2.06 2.99
p 0.041 0.003
Tobacco
leaves
No 1.19 ±0.20 1.12 ±0.21
Yes 1.18 ±0.13 1.11 ±0.20
t 0.15 0.25
P 0.885 0.804
Table 5: Correlations of FD value with age and duration of tobacco use
Variable FD (before staining) FD (after staining with TB)
Pearson Correlation P Pearson Correlation P
Age (years) .401 <0.001 .430 <0.001
Duration (years)-smoke .658 .020 .628 .029
Duration (years)-smokeless .477 <0.001 .491 <0.001
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Iqbal, et al.: Fractal analysis and dysplasia
Journal of Family Medicine and Primary Care	 2452	 Volume 9 : Issue 5 : May 2020
increased as the duration of the consumption of tobacco
product (smokeless and smoke) increased. Correspondingly,
Banoczy et al. in their study claimed that leukoplakia was higher
in tobacco users and the relationship between the tobacco habit
and the anatomical location of the leukoplakia was apparent.[30]
Therefore, dose‑response relationship is evident between tobacco
use and oral leukoplakia.
FD values of leukoplakia among participants consuming
smoke tobacco also showed higher value in smokers’ case than
nonsmokers. However, the result showing higher FD value was
nonsignificant (P > 0.05). Hence, we can rely equally on FD
values for studying the complexity of leukoplakia in this group.
Conclusion
The morphology and complexity of leukoplakia is important in
the diagnosis of malignancy potential. This complexity can be
effectively determined by FD analysis. Therefore, FD analysis
could be used as a noninvasive, cost effective diagnostic tool for
the early detection of malignant conversion.
Financial support and sponsorship
Nil.
Conflicts of interest
There are no conflicts of interest.
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Table 6: Linear regression model showing relationship of
FD value (before staining) with study factors
Variables B SE t P
(Constant) .955 .144 6.612 <.001
Age (years) .001 .002 .628 .531
Bidi/cigarette .144 .075 1.932 .056
Gutkha .075 .053 1.412 .161
Pan/supari .026 .056 .460 .647
Surti/khaini .017 .057 .293 .770
Tobacco leaves .011 .004 2.831 .006
Duration (years) -.012 .124 -0.101 .920
Lower -.033 .116 -.287 .775
Average -.026 .043 -.616 .539
Table 7: Linear regression model showing relationship of
FD (after staining with TB) with study factors
Variables B SE T P
(Constant) .907 .149 6.073 .000
Age (years) .002 .002 1.002 .318
Bidi/cigarette .100 .077 1.295 .198
Gutkha .058 .055 1.066 .289
Pan/supari .034 .058 .586 .559
Surti/khaini .035 .059 .603 .548
Tobacco leaves .035 .068 .511 .610
Duration (years) .009 .004 2.249 .027
SES-lower .003 .128 .025 .980
SES-average -.072 .120 -0.600 .550
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Iqbal, et al.: Fractal analysis and dysplasia
Journal of Family Medicine and Primary Care	 2453	 Volume 9 : Issue 5 : May 2020
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180th publication jfmpc- 7th name

  • 1. © 2020 Journal of Family Medicine and Primary Care | Published by Wolters Kluwer ‑ Medknow 2448 Introduction The word “fractal” originates from Latin language “fractus,” meaning “broken” or “fracture.” This has been used to name a form or figures that are self‑similar. The significance of fractal analysis is to characterize complex shapes, which are self‑similar in nature. Fractal dimensions (FD) are measured as numerical value.[1] In fractal analysis, there is processing of the subject which can be a signal or an image.[1] FD decreases or increases as the complexity of the object decreases or increases.[2] Fractal structures exist in nature and in the human body too, e.g. brain convolution[3]  (sulci and gyri), blood vessels,[4] etc., The literature suggests that fractal analysis has been used to describe the irregularities in epithelium, connective tissue interface.[5,6] Similarly, various oral pathologies have been diagnosed with the help of fractal dimension analysis.[6] A preliminary study by Demiralp et al.[7] suggesteditsroleinbonychangesinpatientstakingbisphosphonates. Oral leukoplakia (OL) is a potential malignant epithelial disorder of oral mucosa.[8] The frequency of dysplastic change or malignant potential in OL has ranged from 15.6% to 39.2% in several studies.[7] Among general population, the occurrence of leukoplakia varies from 1%–5%.[9] Early detection of malignant potential is imperative for timely intervention and for prevention of malignant transformation. Role of fractal analysis in detection of dysplasia in potentially malignant disorders Javed Iqbal1 , Ranjitkumar Patil1 , Vikram Khanna1 , Anurag Tripathi1 , Vandana Singh1 , Munshi M.A.I2 , Rahul Tiwari3 1 Department of Oral Medicine and Radiology, King George’s Medical University, Lucknow, Uttar Pradesh, 2 Department of Oral and Maxillofacial Surgery, Sri Ramakrishna Dental College and Hospital, Coimbatore, Tamil Nadu, 3 Consultant Oral and Maxillofacial Surgeon, Clove Dental and OMNI Hospitals, Visakhapatnam, Andhra Pradesh, India Abstract Background: Fractal analysis is, a noninvasive method, used to determine the intricate characteristics of the matter. Oral leukoplakia (OL), a potential malignant disorder, has definite propensity to turn in to malignancy. In such lesions, fractal dimension analysis (FDA) could be helpful in the early detection of malignant transformation. Objectives: To determine the efficacy of fractal dimension analysis in detecting malignancy potential of oral leukoplakia. Materials and Methods: After ethical clearance, we enrolled 121 patients in our study. Lesions were photographed before and after toluidine staining. Image J software was used to analyze fractal dimensions (FDs) of digital image and results were compared with biopsy. Results: Fractal dimension value is significantly higher in leukoplakia with dysplastic changes. FD values increase as age of patients increases. FD value in leukoplakia with different tobacco products showed more positive correlation with surti/khaini abusers. Conclusion: Fractal dimension analysis is a useful method in determination of complication in OL cases and can be used as an effective, noninvasive screening tool at primary healthcare centers for early intervention. Keywords: Fractal analysis, oral leukoplakia, screening test, toluidine blue Original Article Access this article online Quick Response Code: Website: www.jfmpc.com DOI: 10.4103/jfmpc.jfmpc_159_20 Address for correspondence: Dr. Vikram Khanna, Department of Oral Medicine and Radiology, King George’s Medical University, Lucknow, Uttar Pradesh, India. E‑mail: drvkomdr@gmail.com How to cite this article: Iqbal J, Patil R, Khanna V, Tripathi A, Singh V, Munshi MA, et al. Role of fractal analysis in detection of dysplasia in potentially malignant disorders. J Family Med Prim Care 2020;9:2448-53. This is an open access journal, and articles are distributed under the terms of the Creative Commons Attribution‑NonCommercial‑ShareAlike 4.0 License, which allows others to remix, tweak, and build upon the work non‑commercially, as long as appropriate credit is given and the new creations are licensed under the identical terms. For reprints contact: WKHLRPMedknow_reprints@wolterskluwer.com Received: 25-01-2020 Revised: 13-03-2020 Accepted: 23-03-2020 Published: 31-05-2020 [Downloaded free from http://www.jfmpc.com on Sunday, May 31, 2020, IP: 183.83.46.254]
  • 2. Iqbal, et al.: Fractal analysis and dysplasia Journal of Family Medicine and Primary Care 2449 Volume 9 : Issue 5 : May 2020 Various techniques and methods have been employed in the early detection of oral cancer[10] ; however, biopsy remains the gold standard and confirmatory test. Incisional/excisional biopsy is an invasive procedure and several patients refrain themselves from undergoing procedure which indirectly helps in disease progression and obscures the actual burden of disease. Fractal dimension analysis is a noninvasive procedure which can be easily carried out on high‑quality images of oral leukoplakia as OL has branching pattern with fractal properties. In addition, FD analysis is easy to perform and can be carried out by medical and paramedical staff. Thus, this analysis can be suitably used at primary level of health care to distinguish dysplastic lesions from nondysplastic lesions. Therefore, we planned this study to evaluate the reliability of fractal analysis in the detection of dysplastic changes in oral leukoplakia and in the early detection of malignant transformation. Materials and Method Patients The study was approved with reference no. 89ECMIIBThesis/ P74 dated 28/04/2018. The study was conducted in the Oral Medicine unit of Faculty of Dental Sciences, King Georges Medical University. The experimental protocol was approved by Institution’s ethical committee. A structured performa was used to gather relevant information from each participant. Informed consent was obtained from all the participants. Patients reporting to the departmental OPD were screened for oral leukoplakia after taking thorough history and performing clinical examination. A total of 121 individuals (males and females) were included in study group. Inclusion criteria: a. Age above 18 years. b. Clinically evident leukoplakia in oral cavity. c. Individuals consenting for staining and biopsy procedure. Exclusion criteria: a. Medically compromised patients. b. Patients who are already enrolled/completed treatment of oral leukoplakia. c. Patients who are allergic to toluidine blue stain. d. Patients not willing for biopsy procedure. e. Patients who deny or refuse on informed consent. Digital images of normal mucosa and lesion were taken with Sony cyber shot digital camera (20.1 MP), before and after staining with toluidine blue. The digital images obtained were preprocessed by cropping in a manner involving keratinized mucosa according to the region of interest (ROI) of size 86 × 124 pixels. ROI was selected on the basis of toluidine dye retention. The area of toluidine dye retention was evaluated for FDA and the same area was biopsied for histopathology examination. Image analysis With the help of Image J software version 1.47, the digital images were processed and obtained. Image were converted in to binary as described by White and Rudolf.[11] ROI was duplicated and blurred with Gaussian filter having diameter 35 pixels. The resultant image was subtracted from the original image and grayscale value of 128 was added to it. The image was again converted in to binary and thresholded to the brightness value of 128. Subsequently, binary images were eroded, dilated, and processed as skeletonized images to decrease noise. Statistical analysis After image processing, FD of all skeletonized images was calculated using box counting method. A graph plotted between box count and box size showed the resultant FD value. The FD of keratinized/lesion was calculated and compared with the histopathology report of patient with oral leukoplakia. The obtained results were statistically analyzed using SPSS software (students paired t‑test) Observation and Results The present study was conducted with the sample size of 121 individuals with OL. The Sociodemographic details of study population are summarized in Table 1. Participants were categorized in to group of smokeless and smoke tobacco, which is depicted in Figure 1. Further categorizing the forms of smokeless tobacco, we found that the maximum number of the participants were using tobacco in the form of gutkha followed by surti/khaini and paan/supari chewers [Figure 2]. Right side buccal mucosa was the most common site of leukoplakia. Other than buccal mucosa, mandibular anterior labial vestibule is the next common site [Figure 3]. On analyzing fractal dimension, we found that the association of FD value in images (before and after staining with toluidine blue) was higher in dysplastic cases (mean 1.24 ± 0.16 and 1.18 ± 0.20, respectively) than in nondysplastic (mean 1.12 ± 0.21 and 1.10 ± 0.20, respectively). A highly significant difference was observed in FD values (before and after stain) between dysplastic and nondysplastic cases [Table 2]. We also analyzed fractal dimension values according to age and type of tobacco product used. The FD value (before and after staining with TB) distribution with age showed increasing trend with advancing age. A highly significant difference was observed in FD (before and after staining) values among various age groups [Table 3]. A significant difference was observed in FD values of surti/khaini abusers only. This infers that all products were equally responsible for increased FD values and surti/khaini was more responsible than others [Table 4]. The correlation of FD values (before and after staining with TB) with age and duration of smoking and smokeless tobacco was highly significant [Table 5]. [Downloaded free from http://www.jfmpc.com on Sunday, May 31, 2020, IP: 183.83.46.254]
  • 3. Iqbal, et al.: Fractal analysis and dysplasia Journal of Family Medicine and Primary Care 2450 Volume 9 : Issue 5 : May 2020 in different areas of human body.[12‑14] The most common method of texture analysis is fractal dimension and FD values are consistently higher in malignant regions.[15‑17] Recently Metze et al.[18] reviewed the role fractal dimension and found that FD increases in carcinogenesis. In addition, FD has been used for the classification of breast tumors,[19] in therapeutic response of small cell lung cancer[20] and to differentiate benign and malignant thyroid nodule.[15] Figure 3: Distribution of participants according to site of lesion Figure 1: Distribution of participants according to type of tobacco used Figure 2: Distribution of participants according to tobacco product used Table 1: Distribution of participants according to demographic profile Variable No. Percentage (%) Gender Male 97 80.2 Female 24 19.8 Place Rural 58 47.9 Urban 63 52.1 Economic status Average 101 83.5 Higher 3 2.5 Lower 17 14.0 Total 121 100.0 Table 2: Association of FD value with dysplastic changes DYSPLASTIC Nondysplastic Dysplastic t P Mean SD Mean SD FD before staining with TB 1.12 ±0.21 1.24 ±0.16 3.64 <0.001 FD after staining with TB 1.10 ±0.20 1.18 ±0.20 2.17 0.032 Table 3: Distribution of FD value according to age Age Group FD (before staining) FD (after staining with TB) Mean SD Mean SD 20-29 years 1.07 ±0.25 1.01 ±0.24 30-39 years 1.14 ±0.20 1.06 ±0.19 40-49 years 1.20 ±0.18 1.11 ±0.17 50-59 years 1.24 ±0.16 1.22 ±0.21 >= 60 years 1.30 ±0.09 1.25 ±0.08 F 3.97 5.61 P 0.005 <0.001 Linear regression models were derived for FD values before and after staining, which are FD nonstained = 0.955 + 0.001 (age) +0.144 (bidi/cigarette) +0.075 (gutkha) +0.026 (pan/supari) +0.017 (surti/khani) +0.011 (tobacco leaves) – 0.012 (duration) – 0.033 (lower SES) – 0.026 (average SES) [Table 6] FD‑stained = 0.907  + 0.002 (age) +0.100 (bidi/cigarette) +0.058 (gutkha) +0.034 (pan/supari) +0.035 (surti/khani) +0.035 (tobacco leaves) +0.009 (duration) +0.003 (lower SES) – 0.072 (average SES) [Table 7] Where, the tobacco products value was 1 for particular user and 0 for nonuser. Similar values will be taken for socioeconomic status (SES). Discussion The science of texture analysis studies the differential intensity of picture element values by means of mathematical algorithms. Based on this texture analysis, various studies have been published in medical field to study the characteristics of complex structures [Downloaded free from http://www.jfmpc.com on Sunday, May 31, 2020, IP: 183.83.46.254]
  • 4. Iqbal, et al.: Fractal analysis and dysplasia Journal of Family Medicine and Primary Care 2451 Volume 9 : Issue 5 : May 2020 Researchers have performed fractal analysis in oral cancer to compare the morphometric characteristics or clinicopathological factors in oral squamous cell carcinoma and normal tissue. It has been shown that FD values from digital photograph of oral mucosa in cancer patients were significantly higher than healthy controls. In addition, the measurement of FD has shown higher values in the region of the dysplasia thus greater tissue complexity, as compared with normal mucosa.[21] This hypothesis was further confirmed by Pandey et al. who stated the difference in FD value between pre and posttreated lesions and suggested a decrease in complexity/ keratinization of the lesion following treatment, i.e. regression of the lesion.[22] Leukoplakia lesion consists of complicated network of white patch, arranged in a lattice‑like network. Age, disease progression, and therapeutic agents could influence the number of elements in this network, their dimension, and connectivity. Villa and Bin described the difference between men and women considering the homogeneity of leukoplakia that female group presented a more complexity and malignant transformation than the male group.[23] The present study revealed that the incidence of oral leukoplakia was more in males as compared to females with the majority for participants in 4th  and 5th  decade. The study had more or less equal number of representations from rural and urban areas. Almost all participants of the study were indulged in consumption of smokeless form of tobacco which shows that preponderance of smokeless form more in this particular region. The most common site of involvement by oral leukoplakia is buccal mucosa with more than 80% affected either unilateral or bilateral. On analyzing fractal dimension of the study population, we found that FD values were significantly high in dysplastic lesions as compared to nondysplastic lesions. This suggested that complexity of leukoplakia with dysplastic change is more and can be compared reliably for leukoplakia without dysplastic change. Similar results were obtained from Shenoi et al.[24] and Deepak[25] studies where tissues with higher dysplasia showed higher FD values as compared to tissues with lesser dysplasia. Goutzenis confirmed that the value of nuclear FD is less in normal mucosa and stage I carcinoma.[26] Similarly, Uma Reddy et al.[27] conducted a research on pre and posttreated cases of oral leukoplakia and found a significant difference in FD in pre and post cases of Oral leukoplakia. FD value (before and after staining with TB) was higher in the participants above 40 years of age. It was clear from paired t‑test that the difference between FD values of different age groups was significant, and the mean FD value (after staining) was higher as the age increases. Thus, the pattern of complexity in leukoplakia was increased as the age advances. Peterson et al. found that age seemed to have some independent influence, which might be explained by the fact that oral leukoplakia is a chronic disease.[28] The prevalence of leukoplakia increased with age advancement. It had been estimated that it mainly affects men over 40 years.[21] FD values of leukoplakia among different types of tobacco consumers (bidi/cigarette, gutkha, pan/supari, surti/khaini and tobacco leaves) showed the highest value and significant difference in surti/khaini abusers. This suggested that there was more complexity in leukoplakia of participants consuming surti/khaini as a tobacco product. Nonsmokers with leukoplakia had an increased rate of malignant transformation in relation to leukoplakia in smokers.[29] FD value of leukoplakia showed a strong correlation with the age of participants and the duration for which tobacco products consumed. This infers that complexity of leukoplakia Table 4: Distribution of FD value according to tobacco product Tobacco Product Status FD (before staining) FD (after staining with TB) Mean SD Mean SD Bidi/Cigarette No 1.18 ±0.19 1.12 ±0.20 Yes 1.27 ±0.20 1.20 ±0.19 t 1.35 1.23 p 0.179 0.218 Gutkha No 1.20 ±0.15 1.14 ±0.17 Yes 1.18 ±0.23 1.10 ±0.20 t 0.48 1.29 p 0.631 0.199 Pan/Supari No 1.20 ±0.19 1.13 ±0.20 Yes 1.16 ±0.18 1.10 ±0.20 t 0.64 0.52 p 0.457 0.605 Surti/Khaini No 1.17 ±0.20 1.09 ±0.20 Yes 1.25 ±0.13 1.21 ±0.18 t 2.06 2.99 p 0.041 0.003 Tobacco leaves No 1.19 ±0.20 1.12 ±0.21 Yes 1.18 ±0.13 1.11 ±0.20 t 0.15 0.25 P 0.885 0.804 Table 5: Correlations of FD value with age and duration of tobacco use Variable FD (before staining) FD (after staining with TB) Pearson Correlation P Pearson Correlation P Age (years) .401 <0.001 .430 <0.001 Duration (years)-smoke .658 .020 .628 .029 Duration (years)-smokeless .477 <0.001 .491 <0.001 [Downloaded free from http://www.jfmpc.com on Sunday, May 31, 2020, IP: 183.83.46.254]
  • 5. Iqbal, et al.: Fractal analysis and dysplasia Journal of Family Medicine and Primary Care 2452 Volume 9 : Issue 5 : May 2020 increased as the duration of the consumption of tobacco product (smokeless and smoke) increased. Correspondingly, Banoczy et al. in their study claimed that leukoplakia was higher in tobacco users and the relationship between the tobacco habit and the anatomical location of the leukoplakia was apparent.[30] Therefore, dose‑response relationship is evident between tobacco use and oral leukoplakia. FD values of leukoplakia among participants consuming smoke tobacco also showed higher value in smokers’ case than nonsmokers. However, the result showing higher FD value was nonsignificant (P > 0.05). Hence, we can rely equally on FD values for studying the complexity of leukoplakia in this group. Conclusion The morphology and complexity of leukoplakia is important in the diagnosis of malignancy potential. This complexity can be effectively determined by FD analysis. Therefore, FD analysis could be used as a noninvasive, cost effective diagnostic tool for the early detection of malignant conversion. Financial support and sponsorship Nil. Conflicts of interest There are no conflicts of interest. References 1. Anchez I, Uzcategui G. Fractals in dentistry. J Dent 2011;39:273‑92. 2. Ang HJ, Jeong SW, Jo BH, Kim YD, Kim SS. Observation of trabecular changes of mandible after orthognathic surgery using fractal analysis. J Korean Assoc Oral Maxillofac Surg 2012;38:96‑100. 3. Kiselev VG, Hahn KR, Auer DP. Is the brain cortex a fractal? Neuroimage 2003;20:1765‑74. 4. Zamir M. Fractal dimensions and multifractility in vascular branching. J Theor Biol 2001;212:183‑90. 5. Landini G, Rippin JW. Fractal dimensions of the epithelial‑connective tissue interfaces in premalignant and malignant epithelial lesions of the floor of the mouth. Anal Quant Cytol Histol 1993;15:144‑9. 6. Khandekar S, Upadhyaya N, Dive A, Moharil R, Mishra R, Gupta S, et al. Study of epithelial tissue interface using fractal geometry: A pilot study. J Evol Med Dent Sci 2013;2:10041‑5. 7. Demiralp KÖ, Kurşun‑Çakmak EŞ, Bayrak S, Akbulut N, Atakan C, Orhan K. Trabecular structure designation using fractal analysis technique on panoramic radiographs of patients with bisphosphonate intake: A preliminary study. Oral Radiol 2019;35:23‑8. 8. Starzynska A, Pawlowska A, Renkielska D, Michajlowski I, Sobjanek M, Blazewicz I, et al. Estimation of oral leukoplakia treatment records in the research of the Department of Maxillofacial and Oral Surgery, Medical University of Gdansk. Postepy Dermatol Alergol 2015;32:114‑22. 9. Pindborg JJ, Kiaer J, Gupta PC, Chawla TN. Studies in oral leukoplakias. Prevalence of leukoplakia among 10,000 persons in Lucknow, India, with special reference to use of tobacco and betel nut. Bull World Health Organ 1967;37:109‑16. 10. 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Quantitating the nuclear discrepancies between Table 6: Linear regression model showing relationship of FD value (before staining) with study factors Variables B SE t P (Constant) .955 .144 6.612 <.001 Age (years) .001 .002 .628 .531 Bidi/cigarette .144 .075 1.932 .056 Gutkha .075 .053 1.412 .161 Pan/supari .026 .056 .460 .647 Surti/khaini .017 .057 .293 .770 Tobacco leaves .011 .004 2.831 .006 Duration (years) -.012 .124 -0.101 .920 Lower -.033 .116 -.287 .775 Average -.026 .043 -.616 .539 Table 7: Linear regression model showing relationship of FD (after staining with TB) with study factors Variables B SE T P (Constant) .907 .149 6.073 .000 Age (years) .002 .002 1.002 .318 Bidi/cigarette .100 .077 1.295 .198 Gutkha .058 .055 1.066 .289 Pan/supari .034 .058 .586 .559 Surti/khaini .035 .059 .603 .548 Tobacco leaves .035 .068 .511 .610 Duration (years) .009 .004 2.249 .027 SES-lower .003 .128 .025 .980 SES-average -.072 .120 -0.600 .550 [Downloaded free from http://www.jfmpc.com on Sunday, May 31, 2020, IP: 183.83.46.254]
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