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Helmer M, Warrington S, Mohammadi-Nejad AR, Ji JL, Howell A, Rosand B, Anticevic A, Sotiropoulos SN, Murray JD. On the stability of canonical correlation analysis and partial least squares with application to brain-behavior associations. Commun Biol 2024; 7:217. [PMID: 38383808 DOI: 10.1038/s42003-024-05869-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/07/2023] [Accepted: 01/28/2024] [Indexed: 02/23/2024] Open
Abstract
Associations between datasets can be discovered through multivariate methods like Canonical Correlation Analysis (CCA) or Partial Least Squares (PLS). A requisite property for interpretability and generalizability of CCA/PLS associations is stability of their feature patterns. However, stability of CCA/PLS in high-dimensional datasets is questionable, as found in empirical characterizations. To study these issues systematically, we developed a generative modeling framework to simulate synthetic datasets. We found that when sample size is relatively small, but comparable to typical studies, CCA/PLS associations are highly unstable and inaccurate; both in their magnitude and importantly in the feature pattern underlying the association. We confirmed these trends across two neuroimaging modalities and in independent datasets with n ≈ 1000 and n = 20,000, and found that only the latter comprised sufficient observations for stable mappings between imaging-derived and behavioral features. We further developed a power calculator to provide sample sizes required for stability and reliability of multivariate analyses. Collectively, we characterize how to limit detrimental effects of overfitting on CCA/PLS stability, and provide recommendations for future studies.
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Affiliation(s)
- Markus Helmer
- Department of Psychiatry, Yale School of of Medicine, New Haven, CT, 06511, USA
- Manifest Technologies, New Haven, CT, 06510, USA
| | - Shaun Warrington
- Sir Peter Mansfield Imaging Centre, Mental Health and Clinical Neurosciences, School of Medicine, University of Nottingham, Nottingham, NG7 2UH, United Kingdom
| | - Ali-Reza Mohammadi-Nejad
- Sir Peter Mansfield Imaging Centre, Mental Health and Clinical Neurosciences, School of Medicine, University of Nottingham, Nottingham, NG7 2UH, United Kingdom
- National Institute for Health Research (NIHR) Nottingham Biomedical Research Ctr, Queens Medical Ctr, Nottingham, United Kingdom
| | - Jie Lisa Ji
- Department of Psychiatry, Yale School of of Medicine, New Haven, CT, 06511, USA
- Manifest Technologies, New Haven, CT, 06510, USA
- Interdepartmental Neuroscience Program, Yale University School of Medicine, New Haven, CT, 06511, USA
| | - Amber Howell
- Department of Psychiatry, Yale School of of Medicine, New Haven, CT, 06511, USA
- Interdepartmental Neuroscience Program, Yale University School of Medicine, New Haven, CT, 06511, USA
| | - Benjamin Rosand
- Department of Physics, Yale University, New Haven, CT, 06511, USA
| | - Alan Anticevic
- Department of Psychiatry, Yale School of of Medicine, New Haven, CT, 06511, USA
- Manifest Technologies, New Haven, CT, 06510, USA
- Interdepartmental Neuroscience Program, Yale University School of Medicine, New Haven, CT, 06511, USA
- Department of Psychology, Yale University, New Haven, CT, 06511, USA
| | - Stamatios N Sotiropoulos
- Sir Peter Mansfield Imaging Centre, Mental Health and Clinical Neurosciences, School of Medicine, University of Nottingham, Nottingham, NG7 2UH, United Kingdom.
- National Institute for Health Research (NIHR) Nottingham Biomedical Research Ctr, Queens Medical Ctr, Nottingham, United Kingdom.
| | - John D Murray
- Department of Psychiatry, Yale School of of Medicine, New Haven, CT, 06511, USA.
- Manifest Technologies, New Haven, CT, 06510, USA.
- Department of Physics, Yale University, New Haven, CT, 06511, USA.
- Department of Psychological and Brain Sciences, Dartmouth College, Hanover, NH, 03755, USA.
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Iwabuchi SJ, Drabek MM, Cottam WJ, Tadjibaev A, Mohammadi-Nejad AR, Sotiropoulos S, Fernandes GS, Valdes AM, Zhang W, Doherty M, Walsh DA, Auer DP. Medio-dorsal thalamic dysconnectivity in chronic knee pain: A possible mechanism for negative affect and pain comorbidity. Eur J Neurosci 2023; 57:373-387. [PMID: 36453757 PMCID: PMC10108119 DOI: 10.1111/ejn.15880] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2021] [Revised: 09/13/2022] [Accepted: 10/10/2022] [Indexed: 12/03/2022]
Abstract
The reciprocal interaction between pain and negative affect is acknowledged but pain-related alterations in brain circuits involved in this interaction, such as the mediodorsal thalamus (MDThal), still require a better understanding. We sought to investigate the relationship between MDThal circuitry, negative affect and pain severity in chronic musculoskeletal pain. For these analyses, participants with chronic knee pain (CKP, n = 74) and without (n = 36) completed magnetic resonance imaging scans and questionnaires. Seed-based MDThal functional connectivity (FC) was compared between groups. Within CKP group, we assessed the interdependence of MDThal FC with negative affect. Finally, post hoc moderation analysis explored whether burden of pain influences affect-related MDThal FC. The CKP group showed altered MDThal FC to hippocampus, ventromedial prefrontal cortex and subgenual anterior cingulate. Furthermore, in CKP group, MDThal connectivity correlated significantly with negative affect in several brain regions, most notably the medial prefrontal cortex, and this association was stronger with increasing pain burden and absent in pain-free controls. In conclusion, we demonstrate mediodorsal thalamo-cortical dysconnectivity in chronic pain with areas linked to mood disorders and associations of MDThal FC with negative affect. Moreover, burden of pain seems to enhance affect sensitivity of MDThal FC. These findings suggest mediodorsal thalamic network changes as possible drivers of the detrimental interplay between chronic pain and negative affect.
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Affiliation(s)
- Sarina J Iwabuchi
- Pain Centre Versus Arthritis, University of Nottingham, Nottingham, UK
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK
| | - Marianne M Drabek
- Pain Centre Versus Arthritis, University of Nottingham, Nottingham, UK
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK
| | - William J Cottam
- Pain Centre Versus Arthritis, University of Nottingham, Nottingham, UK
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK
| | - Arman Tadjibaev
- Pain Centre Versus Arthritis, University of Nottingham, Nottingham, UK
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK
| | - Ali-Reza Mohammadi-Nejad
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK
| | - Stamatios Sotiropoulos
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK
| | - Gwen S Fernandes
- Pain Centre Versus Arthritis, University of Nottingham, Nottingham, UK
- Division of Rheumatology, Orthopaedics and Dermatology, School of Medicine, University of Nottingham, Nottingham City Hospital, Nottingham, UK
- Centre for Sports, Exercise and Osteoarthritis Research Versus Arthritis, University of Nottingham, Nottingham, UK
| | - Ana M Valdes
- Pain Centre Versus Arthritis, University of Nottingham, Nottingham, UK
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Division of Rheumatology, Orthopaedics and Dermatology, School of Medicine, University of Nottingham, Nottingham City Hospital, Nottingham, UK
| | - Weiya Zhang
- Pain Centre Versus Arthritis, University of Nottingham, Nottingham, UK
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Division of Rheumatology, Orthopaedics and Dermatology, School of Medicine, University of Nottingham, Nottingham City Hospital, Nottingham, UK
| | - Michael Doherty
- Pain Centre Versus Arthritis, University of Nottingham, Nottingham, UK
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Division of Rheumatology, Orthopaedics and Dermatology, School of Medicine, University of Nottingham, Nottingham City Hospital, Nottingham, UK
| | - David A Walsh
- Pain Centre Versus Arthritis, University of Nottingham, Nottingham, UK
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Division of Rheumatology, Orthopaedics and Dermatology, School of Medicine, University of Nottingham, Nottingham City Hospital, Nottingham, UK
| | - Dorothee P Auer
- Pain Centre Versus Arthritis, University of Nottingham, Nottingham, UK
- NIHR Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
- Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK
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Mohammadi-Nejad AR, Allen RJ, Kraven LM, Leavy OC, Jenkins RG, Wain LV, Auer DP, Sotiropoulos SN. Mapping brain endophenotypes associated with idiopathic pulmonary fibrosis genetic risk. EBioMedicine 2022; 86:104356. [PMID: 36413936 PMCID: PMC9677133 DOI: 10.1016/j.ebiom.2022.104356] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/01/2022] [Revised: 10/16/2022] [Accepted: 10/24/2022] [Indexed: 11/21/2022] Open
Abstract
BACKGROUND Idiopathic pulmonary fibrosis (IPF) is a serious disease of the lung parenchyma. It has a known polygenetic risk, with at least seventeen regions of the genome implicated to date. Growing evidence suggests linked multimorbidity of IPF with neurodegenerative or affective disorders. However, no study so far has explicitly explored links between IPF, associated genetic risk profiles, and specific brain features. METHODS We exploited imaging and genetic data from more than 32,000 participants available through the UK Biobank population-level resource to explore links between IPF genetic risk and imaging-derived brain endophenotypes. We performed a brain-wide imaging-genetics association study between the presence of 17 known IPF risk variants and 1248 multi-modal imaging-derived features, which characterise brain structure and function. FINDINGS We identified strong associations between cortical morphological features, white matter microstructure and IPF risk loci in chromosomes 17 (17q21.31) and 8 (DEPTOR). Through co-localisation analysis, we confirmed that cortical thickness in the anterior cingulate and more widespread white matter microstructure changes share a single causal variant with IPF at the chromosome 8 locus. Post-hoc preliminary analysis suggested that forced vital capacity may partially mediate the association between the DEPTOR variant and white matter microstructure, but not between the DEPTOR risk variant and cortical thickness. INTERPRETATION Our results reveal the associations between IPF genetic risk and differences in brain structure, for both cortex and white matter. Differences in tissue-specific imaging signatures suggest distinct underlying mechanisms with focal cortical thinning in regions with known high DEPTOR expression, unrelated to lung function, and more widespread microstructural white matter changes consistent with hypoxia or neuroinflammation with potential mediation by lung function. FUNDING This study was supported by the NIHR Nottingham Biomedical Research Centre and the UK Medical Research Council.
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Affiliation(s)
- Ali-Reza Mohammadi-Nejad
- National Institute for Health Research (NIHR) Nottingham Biomedical Research Centre, Queens Medical Centre, Nottingham, United Kingdom; Sir Peter Mansfield Imaging Centre & Mental Health and Clinical Neurosciences, School of Medicine, University of Nottingham, Nottingham, United Kingdom
| | - Richard J Allen
- Department of Health Sciences, University of Leicester, Leicester, United Kingdom
| | - Luke M Kraven
- Department of Health Sciences, University of Leicester, Leicester, United Kingdom
| | - Olivia C Leavy
- Department of Health Sciences, University of Leicester, Leicester, United Kingdom
| | - R Gisli Jenkins
- National Heart and Lung Institute, Imperial College London, London, United Kingdom; Department of Interstitial Lung Disease, Royal Brompton and Harefield Hospital, Guys and St Thomas' NHS Foundation Trust, London, United Kingdom
| | - Louise V Wain
- Department of Health Sciences, University of Leicester, Leicester, United Kingdom; National Institute for Health Research (NIHR) Leicester Respiratory Biomedical Research Centre, Glenfield Hospital, Leicester, United Kingdom
| | - Dorothee P Auer
- National Institute for Health Research (NIHR) Nottingham Biomedical Research Centre, Queens Medical Centre, Nottingham, United Kingdom; Sir Peter Mansfield Imaging Centre & Mental Health and Clinical Neurosciences, School of Medicine, University of Nottingham, Nottingham, United Kingdom.
| | - Stamatios N Sotiropoulos
- National Institute for Health Research (NIHR) Nottingham Biomedical Research Centre, Queens Medical Centre, Nottingham, United Kingdom; Sir Peter Mansfield Imaging Centre & Mental Health and Clinical Neurosciences, School of Medicine, University of Nottingham, Nottingham, United Kingdom.
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Meng D, Mohammadi-Nejad AR, Sotiropoulos SN, Auer DP. Anticholinergic drugs and forebrain magnetic resonance imaging changes in cognitively normal people and those with mild cognitive impairment. Eur J Neurol 2022; 29:1344-1353. [PMID: 35129272 PMCID: PMC9304308 DOI: 10.1111/ene.15251] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2021] [Accepted: 01/13/2022] [Indexed: 01/24/2023]
Abstract
Background and purpose Anticholinergic (AC) medication use is associated with cognitive decline and dementia, which may be related to an AC‐induced central hypocholinergic state, but the exact mechanisms remain to be understood. We aimed to further elucidate the putative link between AC drug prescription, cognition, and structural and functional impairment of the forebrain cholinergic nucleus basalis of Meynert (NBM). Methods Cognitively normal (CN; n = 344) and mildly cognitively impaired (MCI; n = 224) Alzheimer’s Disease Neuroimaging Initiative Phase 3 participants with good quality 3‐T magnetic resonance imaging were included. Structural (regional gray matter [GM] density) and functional NBM integrity (functional connectivity [FC]) were compared between those on AC medication for > 1 year (AC+) and those without (AC−) in each condition. AC burden was classed as mild, moderate, or severe. Results MCI AC+ participants (0.55 ± 0.03) showed lower NBM GM density compared to MCI AC− participants (0.56 ± 0.03, p = 0.002), but there was no structural AC effect in CN. NBM FC was lower in CN AC+ versus CN AC− (3.6 ± 0.5 vs. 3.9 ± 0.6, p = 0.001), and in MCI AC+ versus MCI AC− (3.3 ± 0.2 vs. 3.7 ± 0.5, p < 0.001), with larger effect size in MCI. NBM FC partially mediated the association between AC medication burden and cognition. Conclusions Our findings provide novel support for a detrimental effect of mild AC medication on the forebrain cholinergic system characterized as functional central hypocholinergic that partially mediated AC‐related cognitive impairment. Moreover, structural tissue damage suggests neurodegeneration, and larger effect sizes in MCI point to enhanced susceptibility for AC medication in those at risk of dementia.
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Affiliation(s)
- Dewen Meng
- Radiological Sciences, Mental Health & Clinical Neurosciences, School of Medicine, University of Nottingham, Nottingham, UK.,Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK.,National Institute for Health Research Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
| | - Ali-Reza Mohammadi-Nejad
- Radiological Sciences, Mental Health & Clinical Neurosciences, School of Medicine, University of Nottingham, Nottingham, UK.,Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK.,National Institute for Health Research Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
| | - Stamatios N Sotiropoulos
- Radiological Sciences, Mental Health & Clinical Neurosciences, School of Medicine, University of Nottingham, Nottingham, UK.,Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK.,National Institute for Health Research Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
| | - Dorothee P Auer
- Radiological Sciences, Mental Health & Clinical Neurosciences, School of Medicine, University of Nottingham, Nottingham, UK.,Sir Peter Mansfield Imaging Centre, School of Medicine, University of Nottingham, Nottingham, UK.,National Institute for Health Research Nottingham Biomedical Research Centre, Queen's Medical Centre, University of Nottingham, Nottingham, UK
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Mohammadi-Nejad AR, Hossein-Zadeh GA, Shahsavand Ananloo E, Soltanian-Zadeh H. The effect of groupness constraint on the sensitivity and specificity of canonical correlation analysis, a multi-modal anatomical and functional MRI study. Biomed Signal Process Control 2021. [DOI: 10.1016/j.bspc.2021.102698] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Mohammadi-Nejad AR, Mahmoudzadeh M, Hassanpour MS, Wallois F, Muzik O, Papadelis C, Hansen A, Soltanian-Zadeh H, Gelovani J, Nasiriavanaki M. Neonatal brain resting-state functional connectivity imaging modalities. Photoacoustics 2018; 10:1-19. [PMID: 29511627 PMCID: PMC5832677 DOI: 10.1016/j.pacs.2018.01.003] [Citation(s) in RCA: 38] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/03/2017] [Revised: 01/12/2018] [Accepted: 01/27/2018] [Indexed: 05/12/2023]
Abstract
Infancy is the most critical period in human brain development. Studies demonstrate that subtle brain abnormalities during this state of life may greatly affect the developmental processes of the newborn infants. One of the rapidly developing methods for early characterization of abnormal brain development is functional connectivity of the brain at rest. While the majority of resting-state studies have been conducted using magnetic resonance imaging (MRI), there is clear evidence that resting-state functional connectivity (rs-FC) can also be evaluated using other imaging modalities. The aim of this review is to compare the advantages and limitations of different modalities used for the mapping of infants' brain functional connectivity at rest. In addition, we introduce photoacoustic tomography, a novel functional neuroimaging modality, as a complementary modality for functional mapping of infants' brain.
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Affiliation(s)
- Ali-Reza Mohammadi-Nejad
- CIPCE, School of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran, Iran
- Departments of Radiology and Research Administration, Henry Ford Health System, Detroit, MI, USA
| | - Mahdi Mahmoudzadeh
- INSERM, U1105, Université de Picardie, CURS, F80036, Amiens, France
- INSERM U1105, Exploration Fonctionnelles du Système Nerveux Pédiatrique, South University Hospital, F80054, Amiens Cedex, France
| | | | - Fabrice Wallois
- INSERM, U1105, Université de Picardie, CURS, F80036, Amiens, France
- INSERM U1105, Exploration Fonctionnelles du Système Nerveux Pédiatrique, South University Hospital, F80054, Amiens Cedex, France
| | - Otto Muzik
- Department of Pediatrics, Wayne State University School of Medicine, Detroit, MI, USA
- Department of Radiology, Wayne State University School of Medicine, Detroit, MI, USA
| | - Christos Papadelis
- Boston Children’s Hospital, Department of Medicine, Harvard Medical School, Boston, MA, USA
| | - Anne Hansen
- Boston Children’s Hospital, Department of Medicine, Harvard Medical School, Boston, MA, USA
| | - Hamid Soltanian-Zadeh
- CIPCE, School of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran, Iran
- Departments of Radiology and Research Administration, Henry Ford Health System, Detroit, MI, USA
- Department of Radiology, Wayne State University School of Medicine, Detroit, MI, USA
| | - Juri Gelovani
- Department of Biomedical Engineering, Wayne State University, Detroit, MI, USA
- Molecular Imaging Program, Barbara Ann Karmanos Cancer Institute, Wayne State University, Detroit, MI, USA
| | - Mohammadreza Nasiriavanaki
- Department of Biomedical Engineering, Wayne State University, Detroit, MI, USA
- Department of Neurology, Wayne State University School of Medicine, Detroit, MI, USA
- Molecular Imaging Program, Barbara Ann Karmanos Cancer Institute, Wayne State University, Detroit, MI, USA
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Mohammadi-Nejad AR, Hossein-Zadeh GA, Soltanian-Zadeh H. Structured and Sparse Canonical Correlation Analysis as a Brain-Wide Multi-Modal Data Fusion Approach. IEEE Trans Med Imaging 2017; 36:1438-1448. [PMID: 28320654 DOI: 10.1109/tmi.2017.2681966] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Multi-modal data fusion has recently emerged as a comprehensive neuroimaging analysis approach, which usually uses canonical correlation analysis (CCA). However, the current CCA-based fusion approaches face problems like high-dimensionality, multi-collinearity, unimodal feature selection, asymmetry, and loss of spatial information in reshaping the imaging data into vectors. This paper proposes a structured and sparse CCA (ssCCA) technique as a novel CCA method to overcome the above problems. To investigate the performance of the proposed algorithm, we have compared three data fusion techniques: standard CCA, regularized CCA, and ssCCA, and evaluated their ability to detect multi-modal data associations. We have used simulations to compare the performance of these approaches and probe the effects of non-negativity constraint, the dimensionality of features, sample size, and noise power. The results demonstrate that ssCCA outperforms the existing standard and regularized CCA-based fusion approaches. We have also applied the methods to real functional magnetic resonance imaging (fMRI) and structural MRI data of Alzheimer's disease (AD) patients (n = 34) and healthy control (HC) subjects (n = 42) from the ADNI database. The results illustrate that the proposed unsupervised technique differentiates the transition pattern between the subject-course of AD patients and HC subjects with a p-value of less than 1×10-6 . Furthermore, we have depicted the brain mapping of functional areas that are most correlated with the anatomical changes in AD patients relative to HC subjects.
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Mohammadi-Nejad AR, Hossein-Zadeh GA, Soltanian-Zadeh H. Quantitative evaluation of optimal imaging parameters for single-cell detection in MRI using simulation. Magn Reson Imaging 2010; 28:408-17. [DOI: 10.1016/j.mri.2009.11.001] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/14/2007] [Revised: 08/20/2009] [Accepted: 11/25/2009] [Indexed: 10/20/2022]
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