Computer assisted diagnosis of Alzheimer’s disease using statistical likelihood-ratio test
PLOS ONE
RESEARCH ARTICLE
Computer assisted diagnosis of Alzheimer’s
disease using statistical likelihood-ratio test
Xiaoming Zheng ID1*, Justin Cawood1, Chris Hayre1, Shaoyu Wang ID2, for the Alzheimer’s
Disease Neuroimaging Initiative Group¶
1 Medical Radiation Science, School of Dentistry and Medical Sciences, Charles Sturt University, Wagga
Wagga, NSW, Australia, 2 Biomedical Sciences, School of Dentistry and Medical Sciences, Charles Sturt
University, Wagga Wagga, NSW, Australia
¶ A complete listing of ADNI investigators can be found in the Acknowledgments
*
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OPEN ACCESS
Citation: Zheng X, Cawood J, Hayre C, Wang S, for
the Alzheimer’s Disease Neuroimaging Initiative
Group (2023) Computer assisted diagnosis of
Alzheimer’s disease using statistical likelihood-ratio
test. PLoS ONE 18(2): e0279574. https://doi.org/
10.1371/journal.pone.0279574
Editor: Stavros I. Dimitriadis, Cardiff University,
UNITED KINGDOM
Abstract
The purpose of this work is to present a computer assisted diagnostic tool for radiologists in
their diagnosis of Alzheimer’s disease. A statistical likelihood-ratio procedure from signal
detection theory was implemented in the detection of Alzheimer’s disease. The probability
density functions of the likelihood ratio were constructed by using medial temporal lobe
(MTL) volumes of patients with Alzheimer’s disease (AD) and normal controls (NC). The volumes of MTL as well as other anatomical regions of the brains were calculated by the FreeSurfer software using T1 weighted MRI images. The MRI images of AD and NC were
downloaded from the database of Alzheimer’s disease neuroimaging initiative (ADNI). A
separate dataset of minimal interval resonance imaging in Alzheimer’s disease (MIRIAD)
was used for diagnostic testing. A sensitivity of 89.1% and specificity of 87.0% were
achieved for the MIRIAD dataset which are better than the 85% sensitivity and specificity
achieved by the best radiologists without input of other patient information.
Received: April 2, 2022
Accepted: December 11, 2022
Introduction
Published: February 17, 2023
Copyright: © 2023 Zheng et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
Data Availability Statement: All relevant data are
within the paper and its Supporting Information
files.
Funding: This study was funded in part by Charles
Sturt University (APC support). No additional
external funding was received for this study
Competing interests: No authors have competing
interests.
Alzheimer’s disease is the most common cause of dementia affecting ageing population in the
world [1]. MRI T1 weighted structural images are recommended [2] and integrated [3] in routine diagnosis of Alzheimer’s disease (AD). The medial temporal lobe atrophy (MTA) is the
hall mark of AD in MRI images [4,5]. Radiologists use a coronal section of the T1 weighted
MRI images to rate patients’ MTA using a 5 points visual grading scale, based on the height of
the hippocampal formation, the widths of the choroid fissure and the temporal horn [4–6]. A
score of 3 or above is considered abnormal [4–6]. A diagnostic sensitivity and specificity of
85% can be achieved by the best radiologists using visual scale grading [6] without using the
patients’ other information.
The hippocampus is the mostly affected region among the sub-regions of the medial temporal lobe [4]. Hippocampal atrophy is one of the core biomarkers in the revised National Institute on Aging-Alzheimer’s Association (NIA-AA) diagnostic criteria for AD [7]. In addition to
the atrophy of the hippocampal volume, the asymmetry of the left and right hemispheres as
well as shapes and forms of the hippocampus are also of great importance [8–10], because
PLOS ONE | https://doi.org/10.1371/journal.pone.0279574 February 17, 2023
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PLOS ONE
Computer assisted diagnosis of Alzheimer’s disease
differences of these characteristics between AD and normal controls (NC) may point to the
origin and staging of the Alzheimer’s disease [11,12]. Such differences may suggest potential
targets for therapeutic drugs or directions for any drug development [13,14]. Subfields of the
hippocampus have also been investigated in recent years [15].
Many machine learning (ML) algorithms have been developed and studied to assist radiologists’ diagnosis of Alzheimer’s disease using structural MRI images [16,17] including advanced
deep machine learning algorithms [18,19]. The diagnostic accuracies of these algorithms are
similar to that achieved by radiologists using visual scale rating, i.e. between 80–90% [16,17],
or, up to 98.8% if additional information is included [18,19] for distinguishing AD from NC.
These computers assisted algorithms are yet to be implemented in clinical practice, particularly, in non-research healthcare settings such as those clinics in regional and remote areas.
Clinical radiologists/physicians or healthcare professionals would like to have simple yet accurate tools to assist them in their day-to-day patient care and management. The purpose of this
work is to develop a simple computer assisted diagnostic tool in detecting Alzheimer’s disease
using an MRI T1 weighted image without the need for knowing any other information of a
patient. This is intended to be a convenient and effective tool for assisting radiologists and physicians as well as healthcare professionals such as radiographers or nurses who are caring aging
populations in regional and remote areas.
Methods and materials
Radiologists make diagnostic decisions based on their probability knowledge of normal vs diseased images which were developed during their specialist training [20]. The decision threshold of a human observer can be biased in their decision making and an ideal observer makes
decisions by placing a criterion on the axis of an underlying random variable [21]. The statistical likelihood-ratio test of an ideal observer uses the probability density functions of normal vs
diseased images in its decision making [21]:
LðNÞ ¼ fn ðxÞ
ð1Þ
LðDÞ ¼ fd ðxÞ
ð2Þ
and
Where fn(x) and fd(x) are the probability density functions of normal (N) and diseased (D).
For a decision variable x, the likelihood ratio observer uses the probability ratio of the normal
and diseased or log-likelihood ratio to make decisions:
y ¼ logRðD : N Þ ¼ log
f ðxÞd
¼ logfd ðxÞ
f ðxÞn
logfn ðxÞ
ð3Þ
Where y>0 is considered to be diseased and y<0 is considered to be normal.
The probability density functions of normal and the diseased can be constructed by using
clinical data of pathologically confirmed diseased and normal patients. If the patients are randomly drawn from a population, the probability density functions fn(x) and fd(x) can be considered as normal or Gaussian distributions:
�
2�
1
1 ½x mn �
f n ðx (...truncated)