1
|
Jing F, Ye Y, Zhou Y, Ni Y, Yan X, Lu Y, Ong J, Tucker JD, Wu D, Xiong Y, Xu C, He X, Huang S, Li X, Jiang H, Wang C, Dai W, Huang L, Mei W, Cheng W, Zhang Q, Tang W. Identification of Key Influencers for Secondary Distribution of HIV Self-Testing Kits Among Chinese Men Who Have Sex With Men: Development of an Ensemble Machine Learning Approach. J Med Internet Res 2023; 25:e37719. [PMID: 37995110 PMCID: PMC10704319 DOI: 10.2196/37719] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/03/2022] [Revised: 12/30/2022] [Accepted: 10/11/2023] [Indexed: 11/24/2023] Open
Abstract
BACKGROUND HIV self-testing (HIVST) has been rapidly scaled up and additional strategies further expand testing uptake. Secondary distribution involves people (defined as "indexes") applying for multiple kits and subsequently sharing them with people (defined as "alters") in their social networks. However, identifying key influencers is difficult. OBJECTIVE This study aimed to develop an innovative ensemble machine learning approach to identify key influencers among Chinese men who have sex with men (MSM) for secondary distribution of HIVST kits. METHODS We defined three types of key influencers: (1) key distributors who can distribute more kits, (2) key promoters who can contribute to finding first-time testing alters, and (3) key detectors who can help to find positive alters. Four machine learning models (logistic regression, support vector machine, decision tree, and random forest) were trained to identify key influencers. An ensemble learning algorithm was adopted to combine these 4 models. For comparison with our machine learning models, self-evaluated leadership scales were used as the human identification approach. Four metrics for performance evaluation, including accuracy, precision, recall, and F1-score, were used to evaluate the machine learning models and the human identification approach. Simulation experiments were carried out to validate our approach. RESULTS We included 309 indexes (our sample size) who were eligible and applied for multiple test kits; they distributed these kits to 269 alters. We compared the performance of the machine learning classification and ensemble learning models with that of the human identification approach based on leadership self-evaluated scales in terms of the 2 nearest cutoffs. Our approach outperformed human identification (based on the cutoff of the self-reported scales), exceeding by an average accuracy of 11.0%, could distribute 18.2% (95% CI 9.9%-26.5%) more kits, and find 13.6% (95% CI 1.9%-25.3%) more first-time testing alters and 12.0% (95% CI -14.7% to 38.7%) more positive-testing alters. Our approach could also increase the simulated intervention's efficiency by 17.7% (95% CI -3.5% to 38.8%) compared to that of human identification. CONCLUSIONS We built machine learning models to identify key influencers among Chinese MSM who were more likely to engage in secondary distribution of HIVST kits. TRIAL REGISTRATION Chinese Clinical Trial Registry (ChiCTR) ChiCTR1900025433; https://www.chictr.org.cn/showproj.html?proj=42001.
Collapse
Affiliation(s)
- Fengshi Jing
- Institute for Healthcare Artificial Intelligence Application, Guangdong Second Provincial General Hospital, Guangzhou, China
- Faculty of Data Science, City University of Macau, Macao Special Administrative Region, China
- University of North Carolina at Chapel Hill Project-China, Guangzhou, China
- School of Data Science, City University of Hong Kong, Hong Kong Special Administrative Region, China
| | - Yang Ye
- School of Data Science, City University of Hong Kong, Hong Kong Special Administrative Region, China
- Center for Infectious Disease Modeling and Analysis, Yale School of Public Health, Yale University, New Haven, CT, United States
| | - Yi Zhou
- Department of HIV Prevention, Zhuhai Center for Diseases Control and Prevention, Zhuhai, China
| | - Yuxin Ni
- University of North Carolina at Chapel Hill Project-China, Guangzhou, China
- School of Public Health, Boston University, Boston, MA, United States
| | - Xumeng Yan
- University of North Carolina at Chapel Hill Project-China, Guangzhou, China
- Fielding School of Public Health, University of California Los Angeles, Los Angeles, CA, United States
| | - Ying Lu
- University of North Carolina at Chapel Hill Project-China, Guangzhou, China
| | - Jason Ong
- London School of Hygiene and Tropical Medicine, London, United Kingdom
- Melbourne Sexual Health Centre, Melbourne, Australia
| | - Joseph D Tucker
- University of North Carolina at Chapel Hill Project-China, Guangzhou, China
- London School of Hygiene and Tropical Medicine, London, United Kingdom
- Division of Infectious Diseases, School of Medicine, University of North Carolina at Chapel Hill, Chapel Hill, NC, United States
| | - Dan Wu
- University of North Carolina at Chapel Hill Project-China, Guangzhou, China
- School of Public Health, Nanjing Medical University, Nanjing, China
| | - Yuan Xiong
- University of North Carolina at Chapel Hill Project-China, Guangzhou, China
- School of Social Work, Michigan State University, East Lansing, MI, United States
| | - Chen Xu
- University of North Carolina at Chapel Hill Project-China, Guangzhou, China
| | - Xi He
- Zhuhai Xutong Voluntary Services Center, Zhuhai, China
| | - Shanzi Huang
- Department of HIV Prevention, Zhuhai Center for Diseases Control and Prevention, Zhuhai, China
| | - Xiaofeng Li
- Department of HIV Prevention, Zhuhai Center for Diseases Control and Prevention, Zhuhai, China
| | - Hongbo Jiang
- Department of Epidemiology and Biostatistics, School of Public Health, Guangdong Pharmaceutical University, Guangzhou, China
| | - Cheng Wang
- Dermatology Hospital of Southern Medical University, Guangzhou, China
| | - Wencan Dai
- Department of HIV Prevention, Zhuhai Center for Diseases Control and Prevention, Zhuhai, China
| | - Liqun Huang
- Department of HIV Prevention, Zhuhai Center for Diseases Control and Prevention, Zhuhai, China
| | - Wenhua Mei
- Department of HIV Prevention, Zhuhai Center for Diseases Control and Prevention, Zhuhai, China
| | - Weibin Cheng
- Institute for Healthcare Artificial Intelligence Application, Guangdong Second Provincial General Hospital, Guangzhou, China
- School of Data Science, City University of Hong Kong, Hong Kong Special Administrative Region, China
| | - Qingpeng Zhang
- Institute of Data Science and Department of Pharmacology and Pharmacy, The University of Hong Kong, Hong Kong Special Administrative Region, China
| | - Weiming Tang
- Institute for Healthcare Artificial Intelligence Application, Guangdong Second Provincial General Hospital, Guangzhou, China
- University of North Carolina at Chapel Hill Project-China, Guangzhou, China
- Division of Infectious Diseases, School of Medicine, University of North Carolina at Chapel Hill, Chapel Hill, NC, United States
| |
Collapse
|
2
|
Buchanan AL, Katenka N, Lee Y, Wu J, Pantavou K, Friedman SR, Halloran ME, Marshall BDL, Forastiere L, Nikolopoulos GK. Methods for Assessing Spillover in Network-Based Studies of HIV/AIDS Prevention among People Who Use Drugs. Pathogens 2023; 12:326. [PMID: 36839598 PMCID: PMC9967280 DOI: 10.3390/pathogens12020326] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/24/2022] [Revised: 02/03/2023] [Accepted: 02/08/2023] [Indexed: 02/17/2023] Open
Abstract
Human Immunodeficiency Virus (HIV) interventions among people who use drugs (PWUD) often have spillover, also known as interference or dissemination, which occurs when one participant's exposure affects another participant's outcome. PWUD are often members of networks defined by social, sexual, and drug-use partnerships and their receipt of interventions can affect other members in their network. For example, HIV interventions with possible spillover include educational training about HIV risk reduction, pre-exposure prophylaxis, or treatment as prevention. In turn, intervention effects frequently depend on the network structure, and intervention coverage levels and spillover can occur even if not measured in a study, possibly resulting in an underestimation of intervention effects. Recent methodological approaches were developed to assess spillover in the context of network-based studies. This tutorial provides an overview of different study designs for network-based studies and related methodological approaches for assessing spillover in each design. We also provide an overview of other important methodological issues in network studies, including causal influence in networks and missing data. Finally, we highlight applications of different designs and methods from studies of PWUD and conclude with an illustrative example from the Transmission Reduction Intervention Project (TRIP) in Athens, Greece.
Collapse
Affiliation(s)
- Ashley L. Buchanan
- Department of Pharmacy Practice, University of Rhode Island, Kingston, RI 02881, USA
| | - Natallia Katenka
- Department of Computer Science and Statistics, University of Rhode Island, Kingston, RI 02881, USA
| | - Youjin Lee
- Department of Biostatistics, Brown University, Providence, RI 02912, USA
| | - Jing Wu
- Department of Computer Science and Statistics, University of Rhode Island, Kingston, RI 02881, USA
| | | | - Samuel R. Friedman
- Department of Population Health, New York University, New York, NY 10016, USA
| | - M. Elizabeth Halloran
- Vaccine and Infectious Diseases Division, Fred Hutchinson Cancer Center, Seattle, WA 98109, USA
- Department of Biostatistics, University of Washington, Seattle, WA 98195, USA
| | - Brandon D. L. Marshall
- Department of Epidemiology, Brown University School of Public Health, Providence, RI 02912, USA
| | - Laura Forastiere
- Department of Biostatistics, Yale School of Public Health, New Haven, CT 06520, USA
| | | |
Collapse
|
3
|
Bradley H, Austin C, Allen ST, Asher A, Bartholomew TS, Board A, Borquez A, Buchacz K, Carter A, Cooper HLF, Feinberg J, Furukawa N, Genberg B, Gorbach PM, Hagan H, Huriaux E, Hurley H, Luisi N, Martin NK, Rosenberg ES, Strathdee SA, Jarlais DCD. A stakeholder-driven framework for measuring potential change in the health risks of people who inject drugs (PWID) during the COVID-19 pandemic. THE INTERNATIONAL JOURNAL OF DRUG POLICY 2022; 110:103889. [PMID: 36343431 PMCID: PMC9574463 DOI: 10.1016/j.drugpo.2022.103889] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/08/2022] [Revised: 09/28/2022] [Accepted: 10/08/2022] [Indexed: 12/14/2022]
Abstract
BACKGROUND People who inject drugs (PWID) have likely borne disproportionate health consequences of the COVID-19 pandemic. PWID experienced both interruptions and changes to drug supply and delivery modes of harm reduction, treatment, and other medical services, leading to potentially increased risks for HIV, hepatitis C virus (HCV), and overdose. Given surveillance and research disruptions, proximal, indirect indicators of infectious diseases and overdose should be developed for timely measurement of health effects of the pandemic on PWID. METHODS We used group concept mapping and a systems thinking approach to produce an expert stakeholder-generated, multi-level framework for monitoring changes in PWID health outcomes potentially attributable to COVID-19 in the U.S. This socio-ecological measurement framework elucidates proximal and distal contributors to infectious disease and overdose outcomes, many of which can be measured using existing data sources. RESULTS The framework includes multi-level components including policy considerations, drug supply/distribution systems, the service delivery landscape, network factors, and individual characteristics such as mental and general health status and service utilization. These components are generally mediated by substance use and sexual behavioral factors to cause changes in incidence of HIV, HCV, sexually transmitted infections, wound/skin infections, and overdose. CONCLUSION This measurement framework is intended to increase the quality and timeliness of research on the impacts of COVID-19 in the context of the current pandemic and future crises. Next steps include a ranking process to narrow the drivers of change in health risks to a concise set of indicators that adequately represent framework components, can be written as measurable indicators, and are quantifiable using existing data sources, as well as a publicly available web-based platform for summary data contributions.
Collapse
Affiliation(s)
- Heather Bradley
- Georgia State University School of Public Health, 140 Decatur Street SE, Atlanta, GA, 30303, USA.
| | - Chelsea Austin
- Georgia State University School of Public Health, 140 Decatur Street SE, Atlanta, GA, 30303, USA
| | - Sean T Allen
- Johns Hopkins Bloomberg School of Public Health, 615 N. Wolfe Street, Baltimore, MD, 21205, USA
| | - Alice Asher
- Centers for Disease Control and Prevention, 1600 Clifton Road, Atlanta, GA, 30333, USA
| | - Tyler S Bartholomew
- University of Miami Miller School of Medicine, 1600 NW 10(th) Avenue, #1140, Miami, FL, 33136, USA
| | - Amy Board
- Centers for Disease Control and Prevention, 1600 Clifton Road, Atlanta, GA, 30333, USA
| | - Annick Borquez
- University of California San Diego School of Medicine, 9500 Gilman Drive, La Jolla, CA, 92093, USA
| | - Kate Buchacz
- Centers for Disease Control and Prevention, 1600 Clifton Road, Atlanta, GA, 30333, USA
| | - Anastasia Carter
- Georgia State University School of Public Health, 140 Decatur Street SE, Atlanta, GA, 30303, USA
| | - Hannah L F Cooper
- Emory University Rollins School of Public Health, 1518 Clifton Road, Atlanta, GA, 30322, USA
| | - Judith Feinberg
- West Virginia University Health Sciences, 1 Medical Center Drive, #1000, Morgantown, WV, 26506, USA
| | - Nathan Furukawa
- Centers for Disease Control and Prevention, 1600 Clifton Road, Atlanta, GA, 30333, USA
| | - Becky Genberg
- Johns Hopkins Bloomberg School of Public Health, 615 N. Wolfe Street, Baltimore, MD, 21205, USA
| | - Pamina M Gorbach
- University of California Los Angeles, Fielding School of Public Health
| | - Holly Hagan
- NYU School of Global Public Health, 708 Broadway, New York, NY, 10003, USA
| | - Emalie Huriaux
- Washington State Department of Health, 101 Israel Road SE, Tumwater, WA, 98501, USA
| | | | - Nicole Luisi
- Emory University Rollins School of Public Health, 1518 Clifton Road, Atlanta, GA, 30322, USA
| | - Natasha K Martin
- University of California San Diego School of Medicine, 9500 Gilman Drive, La Jolla, CA, 92093, USA
| | - Eli S Rosenberg
- University at Albany School of Public Health, SUNY, 1 University Place, Rensselaer, NY, 12144, USA; Office of Public Health, New York State Department of Public Health, Corning Tower, State Street, Albany, NY, 12203, USA
| | - Steffanie A Strathdee
- University of California San Diego School of Medicine, 9500 Gilman Drive, La Jolla, CA, 92093, USA
| | - Don C Des Jarlais
- NYU School of Global Public Health, 708 Broadway, New York, NY, 10003, USA
| |
Collapse
|
4
|
Li LMW, Wang S, Lin Y. The casual effect of relational mobility on integration of social networks: An agent-based modeling approach. CURRENT PSYCHOLOGY 2022; 42:1-17. [PMID: 35693837 PMCID: PMC9170874 DOI: 10.1007/s12144-022-03130-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 04/18/2022] [Indexed: 12/01/2022]
Abstract
Despite converging evidence for the importance of relational mobility on shaping people's social experiences, previous work suggested mixed findings for its influence on the structure of sociocentric networks, which lays the basis for the development of all types of social relationships. Additionally, as it is timely and economically intractable to administer such longitudinal experiments in real-life settings, most previous work mainly relied on cross-sectional correlation analyses and provided limited causal evidence. The current research used an agent-based modeling approach to examine whether higher relational mobility (i.e., the number of opportunities to meet new people) would promote integration among social networks over time. Using parameters derived from survey data, we simulated how the integration of sociocentric social networks evolves under different levels of relational mobility. Based on the data of three network structural indicators, including modularity, global efficiency, and standard deviation of nodal betweenness, we obtained causal evidence supporting that higher relational mobility promotes greater network integration. These findings highlight the power of socioecological demands on our social experiences. Supplementary Information The online version contains supplementary material available at 10.1007/s12144-022-03130-x.
Collapse
Affiliation(s)
- Liman Man Wai Li
- Department of Psychology and Centre for Psychosocial Health, The Education University of Hong Kong, Tai Po, Hong Kong
| | - Shengyuan Wang
- Department of Psychology, Sun Yat-Sen University, Guangzhou, 510006 China
| | - Ying Lin
- Department of Psychology, Sun Yat-Sen University, Guangzhou, 510006 China
| |
Collapse
|
5
|
Boodram B, Mackesy-Amiti ME, Khanna A, Brickman B, Dahari H, Ozik J. People who inject drugs in metropolitan Chicago: A meta-analysis of data from 1997-2017 to inform interventions and computational modeling toward hepatitis C microelimination. PLoS One 2022; 17:e0248850. [PMID: 35020725 PMCID: PMC8754317 DOI: 10.1371/journal.pone.0248850] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/23/2021] [Accepted: 12/13/2021] [Indexed: 02/03/2023] Open
Abstract
Progress toward hepatitis C virus (HCV) elimination in the United States is not on track to meet targets set by the World Health Organization, as the opioid crisis continues to drive both injection drug use and increasing HCV incidence. A pragmatic approach to achieving this is using a microelimination approach of focusing on high-risk populations such as people who inject drugs (PWID). Computational models are useful in understanding the complex interplay of individual, social, and structural level factors that might alter HCV incidence, prevalence, transmission, and treatment uptake to achieve HCV microelimination. However, these models need to be informed with realistic sociodemographic, risk behavior and network estimates on PWID. We conducted a meta-analysis of research studies spanning 20 years of research and interventions with PWID in metropolitan Chicago to produce parameters for a synthetic population for realistic computational models (e.g., agent-based models). We then fit an exponential random graph model (ERGM) using the network estimates from the meta-analysis in order to develop the network component of the synthetic population.
Collapse
Affiliation(s)
- Basmattee Boodram
- Division of Community Health Sciences, School of Public Health, University of Illinois at Chicago, Chicago, Illinois, United States of America
| | - Mary Ellen Mackesy-Amiti
- Division of Community Health Sciences, School of Public Health, University of Illinois at Chicago, Chicago, Illinois, United States of America,* E-mail:
| | - Aditya Khanna
- Department of Behavioral and Social Sciences, School of Public Health, Brown University, Providence, Rhode Island, United States of America
| | - Bryan Brickman
- Department of Medicine, Chicago Center for HIV Elimination, University of Chicago, Chicago, Illinois, United States of America
| | - Harel Dahari
- Division of Hepatology, Department of Medicine, Loyola University Medical Center, Maywood, Illinois, United States of America
| | - Jonathan Ozik
- Decision and Infrastructure Sciences Division, Argonne National Laboratory, Lemont, Illinois, United States of America
| |
Collapse
|
6
|
Mahmoud NM, Mahmoud MH, Alamery S, Fouad H. Structural modeling and phylogenetic analysis for infectious disease transmission pattern based on maximum likelihood tree approach. JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING 2021; 12:3479-3492. [PMID: 33425052 PMCID: PMC7778505 DOI: 10.1007/s12652-020-02702-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 08/22/2020] [Accepted: 11/16/2020] [Indexed: 06/12/2023]
Abstract
The contagious disease transmission pattern outbreak caused a massive human casualty and became a pandemic, as confirmed by the World Health Organization (WHO). The present research aims to understand the infectious disease transmission pattern outbreak due to molecular epidemiology. Hence, infected patients over time can spread infectious disease. The virus may develop further mutations, and that there might be a more toxic virulent strain, which leads to several environmental risk factors. Therefore, it is essential to monitor and characterize patient profiles, variants, symptoms, geographic locations, and treatment responses to analyze and evaluate infectious disease patterns among humans. This research proposes the Evolutionary tree analysis (ETA) for the molecular evolutionary genetic analysis to reduce medical risk factors. Furthermore, The Maximum likelihood tree method (MLTM) has been used to analyze the selective pressure, which is examined to identify a mutation that may influence the infectious disease transmission pattern's clinical progress. This study also utilizes ETA with Markov Chain Bayesian Statistics (MCBS) approach to reconstruct transmission trees with sequence information. The experimental shows that the proposed ETA-MCBS method achieves a 97.55% accuracy, prediction of 99.56%, and 98.55% performance compared to other existing methods.
Collapse
Affiliation(s)
- Nourelhoda M. Mahmoud
- Biomedical Engineering Department, Faculty of Engineering, Minia University, Minia, Egypt
| | - Mohamed H. Mahmoud
- Department of Biochemistry, College of Science, King Saud University, PO Box 22452, Riyadh, 11451 Saudi Arabia
| | - Salman Alamery
- Department of Biochemistry, College of Science, King Saud University, PO Box 22452, Riyadh, 11451 Saudi Arabia
| | - Hassan Fouad
- Biomedical Engineering Department, Faculty of Engineering, Helwan University, Cairo, Egypt
| |
Collapse
|
7
|
Singleton AL, Marshall BDL, Bessey S, Harrison MT, Galvani AP, Yedinak JL, Jacka BP, Goodreau SM, Goedel WC. Network structure and rapid HIV transmission among people who inject drugs: A simulation-based analysis. Epidemics 2020; 34:100426. [PMID: 33341667 PMCID: PMC7940592 DOI: 10.1016/j.epidem.2020.100426] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/07/2020] [Revised: 11/09/2020] [Accepted: 12/07/2020] [Indexed: 10/31/2022] Open
Abstract
As HIV incidence among people who inject drugs grows in the context of an escalating drug overdose epidemic in North America, investigating how network structure may affect vulnerability to rapid HIV transmission is necessary for preventing outbreaks. We compared the characteristics of the observed contact tracing network from the 2015 outbreak in rural Indiana with 1000 networks generated by an agent-based network model with approximately the same number of individuals (n = 420) and ties between them (n = 913). We introduced an initial HIV infection into the simulated networks and compared the subsequent epidemic behavior (e.g., cumulative HIV infections over 5 years). The model was able to produce networks with largely comparable characteristics and total numbers of incident HIV infections. Although the model was unable to produce networks with comparable cohesiveness (where the observed network had a transitivity value 35.7 standard deviations from the mean of the simulated networks), the structural variability of the simulated networks allowed for investigation into their potential facilitation of HIV transmission. These findings emphasize the need for continued development of injection network simulation studies in tandem with empirical data collection to further investigate how network characteristics played a role in this and future outbreaks.
Collapse
Affiliation(s)
- Alyson L Singleton
- Department of Biostatistics, School of Public Health, Brown University, Providence, RI, United States
| | - Brandon D L Marshall
- Department of Epidemiology, School of Public Health, Brown University, Providence, RI, United States
| | - S Bessey
- Department of Epidemiology, School of Public Health, Brown University, Providence, RI, United States
| | - Matthew T Harrison
- Division of Applied Mathematics, Brown University, Providence, RI, United States
| | - Alison P Galvani
- Department of Ecology and Evolutionary Biology, Yale University, New Haven, CT, United States; Program in Computational Biology and Bioinformatics, Yale University, New Haven, CT, United States; Centre for Infectious Disease Modelling and Analysis, School of Public Health, Yale University, New Haven, CT, United States
| | - Jesse L Yedinak
- Department of Epidemiology, School of Public Health, Brown University, Providence, RI, United States
| | - Brendan P Jacka
- Department of Epidemiology, School of Public Health, Brown University, Providence, RI, United States
| | - Steven M Goodreau
- Department of Anthropology, University of Washington, Seattle, WA, United States
| | - William C Goedel
- Department of Epidemiology, School of Public Health, Brown University, Providence, RI, United States.
| |
Collapse
|