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Liu Z, Liu ZA, Hosni A, Kim J, Jiang B, Saarela O. A Bayesian joint model for mediation analysis with matrix-valued mediators. Biometrics 2024; 80:ujae143. [PMID: 39671276 DOI: 10.1093/biomtc/ujae143] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2023] [Revised: 09/19/2024] [Accepted: 12/11/2024] [Indexed: 12/15/2024]
Abstract
Unscheduled treatment interruptions may lead to reduced quality of care in radiation therapy (RT). Identifying the RT prescription dose effects on the outcome of treatment interruptions, mediated through doses distributed into different organs at risk (OARs), can inform future treatment planning. The radiation exposure to OARs can be summarized by a matrix of dose-volume histograms (DVH) for each patient. Although various methods for high-dimensional mediation analysis have been proposed recently, few studies investigated how matrix-valued data can be treated as mediators. In this paper, we propose a novel Bayesian joint mediation model for high-dimensional matrix-valued mediators. In this joint model, latent features are extracted from the matrix-valued data through an adaptation of probabilistic multilinear principal components analysis (MPCA), retaining the inherent matrix structure. We derive and implement a Gibbs sampling algorithm to jointly estimate all model parameters, and introduce a Varimax rotation method to identify active indicators of mediation among the matrix-valued data. Our simulation study finds that the proposed joint model has higher efficiency in estimating causal decomposition effects compared to an alternative two-step method, and demonstrates that the mediation effects can be identified and visualized in the matrix form. We apply the method to study the effect of prescription dose on treatment interruptions in anal canal cancer patients.
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Affiliation(s)
- Zijin Liu
- Dalla Lana School of Public Health, University of Toronto, Toronto, Ontario M5T 3M7, Canada
| | - Zhihui Amy Liu
- Dalla Lana School of Public Health, University of Toronto, Toronto, Ontario M5T 3M7, Canada
- Princess Margaret Cancer Centre, University Health Network, Toronto, Ontario M5G 2M9, Canada
| | - Ali Hosni
- Princess Margaret Cancer Centre, University Health Network, Toronto, Ontario M5G 2M9, Canada
| | - John Kim
- Princess Margaret Cancer Centre, University Health Network, Toronto, Ontario M5G 2M9, Canada
| | - Bei Jiang
- Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
| | - Olli Saarela
- Dalla Lana School of Public Health, University of Toronto, Toronto, Ontario M5T 3M7, Canada
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Cui Y, Lin Q, Yuan X, Jiang F, Ma S, Yu Z. Mediation analysis in longitudinal study with high-dimensional methylation mediators. Brief Bioinform 2024; 25:bbae496. [PMID: 39406521 PMCID: PMC11479716 DOI: 10.1093/bib/bbae496] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/29/2024] [Revised: 09/02/2024] [Accepted: 09/25/2024] [Indexed: 10/20/2024] Open
Abstract
Mediation analysis has been widely utilized to identify potential pathways connecting exposures and outcomes. However, there remains a lack of analytical methods for high-dimensional mediation analysis in longitudinal data. To tackle this concern, we proposed an effective and novel approach with variable selection and the indirect effect (IE) assessment based on both linear mixed-effect model and generalized estimating equation. Initially, we employ sure independence screening to reduce the dimension of candidate mediators. Subsequently, we implement the Sobel test with the Bonferroni correction for IE hypothesis testing. Through extensive simulation studies, we demonstrate the performance of our proposed procedure with a higher F$_{1}$ score (0.8056 and 0.9983 at sample sizes of 150 and 500, respectively) compared with the linear method (0.7779 and 0.9642 at the same sample sizes), along with more accurate parameter estimation and a significantly lower false discovery rate. Moreover, we apply our methodology to explore the mediation mechanisms involving over 730 000 DNA methylation sites with potential effects between the paternal body mass index (BMI) and offspring growing BMI in the Shanghai sleeping birth cohort data, leading to the identification of two previously undiscovered mediating CpG sites.
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Affiliation(s)
- Yidan Cui
- Department of Bioinformatics and Biostatistics, School of Life Sciences and Biotechnology, Shanghai Jiao Tong University, 800 Dongchuan Rd, 200240 Shanghai, China
| | - Qingmin Lin
- Department of Developmental and Behavioral Pediatrics, Pediatric Translational Medicine Institute, National Children’s Medical Center, Shanghai Children’s Medical Center, School of Medicine, Shanghai Jiao Tong University, 1678 Dongfang Rd, 200127 Shanghai, China
| | - Xin Yuan
- Department of Bioinformatics and Biostatistics, School of Life Sciences and Biotechnology, Shanghai Jiao Tong University, 800 Dongchuan Rd, 200240 Shanghai, China
| | - Fan Jiang
- Department of Developmental and Behavioral Pediatrics, Pediatric Translational Medicine Institute, National Children’s Medical Center, Shanghai Children’s Medical Center, School of Medicine, Shanghai Jiao Tong University, 1678 Dongfang Rd, 200127 Shanghai, China
- MOE-Shanghai Key Laboratory of Children’s Environmental Health, Xinhua Hospital, School of Medicine, Shanghai Jiao Tong University, 1665 Kongjiang Rd, 200092 Shanghai, China
- Shanghai Center for Brain Science and Brain-Inspired Technology, 555 Qiangye Rd, 201602 Shanghai, China
| | - Shiyang Ma
- Clinical Research Institute, Shanghai Jiao Tong University School of Medicine, 227 South Chongqing Rd, 200025 Shanghai, China
- School of Mathematical Sciences, Shanghai Jiao Tong University, 800 Dongchuan Rd, 200240 Shanghai, China
| | - Zhangsheng Yu
- Department of Bioinformatics and Biostatistics, School of Life Sciences and Biotechnology, Shanghai Jiao Tong University, 800 Dongchuan Rd, 200240 Shanghai, China
- Clinical Research Institute, Shanghai Jiao Tong University School of Medicine, 227 South Chongqing Rd, 200025 Shanghai, China
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Chen M, Zhou Y. Causal mediation analysis with a three-dimensional image mediator. Stat Med 2024; 43:2869-2893. [PMID: 38733218 DOI: 10.1002/sim.10106] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/06/2023] [Revised: 03/20/2024] [Accepted: 04/29/2024] [Indexed: 05/13/2024]
Abstract
Causal mediation analysis is increasingly abundant in biology, psychology, and epidemiology studies and so forth. In particular, with the advent of the big data era, the issue of high-dimensional mediators is becoming more prevalent. In neuroscience, with the widespread application of magnetic resonance technology in the field of brain imaging, studies on image being a mediator emerged. In this study, a novel causal mediation analysis method with a three-dimensional image mediator is proposed. We define the average casual effects under the potential outcome framework, explore several sufficient conditions for the valid identification, and develop techniques for estimation and inference. To verify the effectiveness of the proposed method, a series of simulations under various scenarios is performed. Finally, the proposed method is applied to a study on the causal effect of mother's delivery mode on child's IQ development. It is found that cesarean section may have a negative effect on intellectual performance and that this effect is mediated by white matter development. Additional prospective and longitudinal studies may be necessary to validate these emerging findings.
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Affiliation(s)
- Minghao Chen
- Key Laboratory of Advanced Theory and Application in Statistics and Data Science-MOE, School of Statistics, East China Normal University, Shanghai, People's Republic of China
| | - Yingchun Zhou
- Key Laboratory of Advanced Theory and Application in Statistics and Data Science-MOE, School of Statistics, East China Normal University, Shanghai, People's Republic of China
- Institute of Brain and Education Innovation, East China Normal University, Shanghai, People's Republic of China
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Jiang S, Colditz GA. Modeling correlated pairs of mammogram images. Stat Med 2024; 43:1660-1668. [PMID: 38351511 DOI: 10.1002/sim.10002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/24/2022] [Revised: 10/30/2023] [Accepted: 12/10/2023] [Indexed: 03/16/2024]
Abstract
Mammography remains the primary screening strategy for breast cancer, which continues to be the most prevalent cancer diagnosis among women globally. Because screening mammograms capture both the left and right breast, there is a nonnegligible correlation between the pair of images. Previous studies have explored the concept of averaging between the pair of images after proper image registration; however, no comparison has been made in directly utilizing the paired images. In this paper, we extend the bivariate functional principal component analysis over triangulations to jointly characterize the pair of imaging data bounded in an irregular domain and then nest the extracted features within the survival model to predict the onset of breast cancer. The method is applied to our motivating data from the Joanne Knight Breast Health Cohort at Siteman Cancer Center. Our findings indicate that there was no statistically significant difference in model discrimination performance between averaging the pair of images and jointly modeling the two images. Although the breast cancer study did not reveal any significant difference, it is worth noting that the methods proposed here can be readily extended to other studies involving paired or multivariate imaging data.
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Affiliation(s)
- Shu Jiang
- Division of Public Health Sciences, Washington University School of Medicine, St. Louis, Missouri, USA
| | - Graham A Colditz
- Division of Public Health Sciences, Washington University School of Medicine, St. Louis, Missouri, USA
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Liu Y, Sorkhei M, Dembrower K, Azizpour H, Strand F, Smith K. Use of an AI Score Combining Cancer Signs, Masking, and Risk to Select Patients for Supplemental Breast Cancer Screening. Radiology 2024; 311:e232535. [PMID: 38591971 DOI: 10.1148/radiol.232535] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/10/2024]
Abstract
Background Mammographic density measurements are used to identify patients who should undergo supplemental imaging for breast cancer detection, but artificial intelligence (AI) image analysis may be more effective. Purpose To assess whether AISmartDensity-an AI-based score integrating cancer signs, masking, and risk-surpasses measurements of mammographic density in identifying patients for supplemental breast imaging after a negative screening mammogram. Materials and Methods This retrospective study included randomly selected individuals who underwent screening mammography at Karolinska University Hospital between January 2008 and December 2015. The models in AISmartDensity were trained and validated using nonoverlapping data. The ability of AISmartDensity to identify future cancer in patients with a negative screening mammogram was evaluated and compared with that of mammographic density models. Sensitivity and positive predictive value (PPV) were calculated for the top 8% of scores, mimicking the proportion of patients in the Breast Imaging Reporting and Data System "extremely dense" category. Model performance was evaluated using area under the receiver operating characteristic curve (AUC) and was compared using the DeLong test. Results The study population included 65 325 examinations (median patient age, 53 years [IQR, 47-62 years])-64 870 examinations in healthy patients and 455 examinations in patients with breast cancer diagnosed within 3 years of a negative screening mammogram. The AUC for detecting subsequent cancers was 0.72 and 0.61 (P < .001) for AISmartDensity and the best-performing density model (age-adjusted dense area), respectively. For examinations with scores in the top 8%, AISmartDensity identified 152 of 455 (33%) future cancers with a PPV of 2.91%, whereas the best-performing density model (age-adjusted dense area) identified 57 of 455 (13%) future cancers with a PPV of 1.09% (P < .001). AISmartDensity identified 32% (41 of 130) and 34% (111 of 325) of interval and next-round screen-detected cancers, whereas the best-performing density model (dense area) identified 16% (21 of 130) and 9% (30 of 325), respectively. Conclusion AISmartDensity, integrating cancer signs, masking, and risk, outperformed traditional density models in identifying patients for supplemental imaging after a negative screening mammogram. © RSNA, 2024 Supplemental material is available for this article. See also the editorial by Kim and Chang in this issue.
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Affiliation(s)
- Yue Liu
- From the Department of Computational Science and Technology (Y.L., M.S., K.S.) and Department of Robotics, Perception and Learning (H.A.), KTH Royal Institute of Technology, Brinellvägen 8, 114 28 Stockholm, Sweden; Science for Life Laboratory, Stockholm, Sweden (Y.L., M.S., K.S.); Department of Physiology and Pharmacology (K.D.) and Department of Pathology and Oncology (F.S.), Karolinska Institute, Stockholm, Sweden; Department of Radiology, Capio Saint Göran Hospital, Stockholm, Sweden (K.D.); and Department of Breast Radiology, Karolinska University Hospital, Stockholm, Sweden (F.S.)
| | - Moein Sorkhei
- From the Department of Computational Science and Technology (Y.L., M.S., K.S.) and Department of Robotics, Perception and Learning (H.A.), KTH Royal Institute of Technology, Brinellvägen 8, 114 28 Stockholm, Sweden; Science for Life Laboratory, Stockholm, Sweden (Y.L., M.S., K.S.); Department of Physiology and Pharmacology (K.D.) and Department of Pathology and Oncology (F.S.), Karolinska Institute, Stockholm, Sweden; Department of Radiology, Capio Saint Göran Hospital, Stockholm, Sweden (K.D.); and Department of Breast Radiology, Karolinska University Hospital, Stockholm, Sweden (F.S.)
| | - Karin Dembrower
- From the Department of Computational Science and Technology (Y.L., M.S., K.S.) and Department of Robotics, Perception and Learning (H.A.), KTH Royal Institute of Technology, Brinellvägen 8, 114 28 Stockholm, Sweden; Science for Life Laboratory, Stockholm, Sweden (Y.L., M.S., K.S.); Department of Physiology and Pharmacology (K.D.) and Department of Pathology and Oncology (F.S.), Karolinska Institute, Stockholm, Sweden; Department of Radiology, Capio Saint Göran Hospital, Stockholm, Sweden (K.D.); and Department of Breast Radiology, Karolinska University Hospital, Stockholm, Sweden (F.S.)
| | - Hossein Azizpour
- From the Department of Computational Science and Technology (Y.L., M.S., K.S.) and Department of Robotics, Perception and Learning (H.A.), KTH Royal Institute of Technology, Brinellvägen 8, 114 28 Stockholm, Sweden; Science for Life Laboratory, Stockholm, Sweden (Y.L., M.S., K.S.); Department of Physiology and Pharmacology (K.D.) and Department of Pathology and Oncology (F.S.), Karolinska Institute, Stockholm, Sweden; Department of Radiology, Capio Saint Göran Hospital, Stockholm, Sweden (K.D.); and Department of Breast Radiology, Karolinska University Hospital, Stockholm, Sweden (F.S.)
| | - Fredrik Strand
- From the Department of Computational Science and Technology (Y.L., M.S., K.S.) and Department of Robotics, Perception and Learning (H.A.), KTH Royal Institute of Technology, Brinellvägen 8, 114 28 Stockholm, Sweden; Science for Life Laboratory, Stockholm, Sweden (Y.L., M.S., K.S.); Department of Physiology and Pharmacology (K.D.) and Department of Pathology and Oncology (F.S.), Karolinska Institute, Stockholm, Sweden; Department of Radiology, Capio Saint Göran Hospital, Stockholm, Sweden (K.D.); and Department of Breast Radiology, Karolinska University Hospital, Stockholm, Sweden (F.S.)
| | - Kevin Smith
- From the Department of Computational Science and Technology (Y.L., M.S., K.S.) and Department of Robotics, Perception and Learning (H.A.), KTH Royal Institute of Technology, Brinellvägen 8, 114 28 Stockholm, Sweden; Science for Life Laboratory, Stockholm, Sweden (Y.L., M.S., K.S.); Department of Physiology and Pharmacology (K.D.) and Department of Pathology and Oncology (F.S.), Karolinska Institute, Stockholm, Sweden; Department of Radiology, Capio Saint Göran Hospital, Stockholm, Sweden (K.D.); and Department of Breast Radiology, Karolinska University Hospital, Stockholm, Sweden (F.S.)
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