Application of the Joint Frailty Copula Model for Analyzing Time to Relapse and Time to Death of Women with Cervical Cancer

References

• Singh D, Vignat J, Lorenzoni V, et al. Global estimates of incidence and mortality of cervical cancer in 2020: a baseline analysis of the WHO global cervical cancer elimination initiative. Lancet Glob Health. 2023;11(2):e197–e206. doi:10.1016/S2214-109X(22)00501-0
   PubMed Web of Science ®Google Scholar
• Tugizova D, Amonova M, Farmonova D. Prognostic factors of cervical cancer in pregnant women. Sci Innov. 2022;1(D7):292–296.
   Google Scholar
• Sung H, Ferlay J, Siegel RL, et al. Global cancer statistics 2020: GLOBOCAN estimates of incidence and mortality worldwide for 36 cancers in 185 countries. CA Cancer J Clin. 2021;71(3):209–249. PMID: 33538338. doi:10.3322/caac.21660
   PubMed Web of Science ®Google Scholar
• Ferlay J, Soerjomataram I, Dikshit R, et al. Cancer incidence and mortality worldwide: sources, methods and major patterns in GLOBOCAN 2012. Int J Cancer. 2015;136(5):E359–E386. PMID: 25220842. doi:10.1002/ijc.29210
   PubMed Web of Science ®Google Scholar
• Jemal A, Bray F, Center MM, Ferlay J, Ward E, Forman D. Global cancer statistics. CA Cancer J Clin. 2011;61(2):69–90. Erratum in: CA Cancer J Clin. 2011 Mar-Apr;61(2):134. PMID: 21296855. doi:10.3322/caac.20107
   PubMed Web of Science ®Google Scholar
• Parkin DM, Bray F, Ferlay J, Jemal A. Cancer in Africa 2012. Cancer Epidemiol Biomarkers Prev. 2014;23(6):953–966. PMID: 24700176. doi:10.1158/1055-9965.EPI-14-0281
   PubMed Web of Science ®Google Scholar
• Mboumba Bouassa RS, Prazuck T, Lethu T, Jenabian MA, Meye JF, Bélec L. Cervical cancer in sub-Saharan Africa: a preventable noncommunicable disease. Expert Rev Anti Infect Ther. 2017;15(6):613–627. PMID: 28440679. doi:10.1080/14787210.2017.1322902
   PubMed Web of Science ®Google Scholar
• Federal ministry of health Ethiopia (FMOH) and ICF. Ethiopia Demographic and Health Survey 2016. Addis Ababa, Ethiopia, and Rockville, Maryland, USA: CSA and ICF; 2016.
   Google Scholar
• Abera N. Cervical cancer: Ethiopia’s outlook. J Gynecol Women's Health. 2017;5(2):555660.
   Google Scholar
• Gurmu SE. Assessing survival time of women with cervical cancer using various parametric frailty models: a case study at Tikur anbessa specialized hospital, Addis Ababa, Ethiopia. Ann Data Sci. 2018;5(4):513–527. doi:10.1007/s40745-018-0150-7
   Google Scholar
• Aweke YH, Ayanto SY, Ersado TL. Knowledge, attitude and practice for cervical cancer prevention and control among women of childbearing age in Hossana Town, Hadiya zone, Southern Ethiopia: community-based cross-sectional study. PLoS One. 2017;12(7):e0181415. PMID: 28742851; PMCID: PMC5526548. doi:10.1371/journal.pone.0181415
   PubMed Web of Science ®Google Scholar
• Yaya S, Bishwajit G. Age at first sexual intercourse and multiple sexual partnerships among women in Nigeria: a cross-sectional analysis. Front Med. 2018;5:171. doi:10.3389/fmed.2018.00171
   Web of Science ®Google Scholar
• Getachew S, Getachew E, Gizaw M, Ayele W, Addissie A, Kantelhardt EJ. Cervical cancer screening knowledge and barriers among women in Addis Ababa, Ethiopia. PLoS One. 2019;14(5):e0216522. doi:10.1371/journal.pone.0216522
   PubMed Web of Science ®Google Scholar
• Rondeau V, Pignon JP, Michiels S; MACH-NC collaborative Group. A joint model for the dependence between clustered times to tumour progression and deaths: a meta-analysis of chemotherapy in head and neck cancer. Stat Methods Med Res. 2015;24(6):711–729. Epub 2011 Oct 23. PMID: 22025414. doi:10.1177/0962280211425578
   PubMed Web of Science ®Google Scholar
• Emura T, Nakatochi M, Matsui S, Michimae H, Rondeau V. Personalized dynamic prediction of death according to tumour progression and high-dimensional genetic factors: meta-analysis with a joint model. Stat Methods Med Res. 2018;27(9):2842–2858. PMID: 28090814. doi:10.1177/0962280216688032
   PubMed Web of Science ®Google Scholar
• Emura T, Chen YH. Analysis of Survival Data with Dependent Censoring: Copula-Based Approaches. Singapore: Springer; 2018.
   Google Scholar
• Fleming TR, Prentice RL, Pepe MS, Glidden D. Surrogate and auxiliary endpoints in clinical trials, with potential applications in cancer and AIDS research. Stat Med. 1994;13(9):955–968. PMID: 8047747. doi:10.1002/sim.4780130906
   PubMed Web of Science ®Google Scholar
• Gill RD. Multivariate survival analysis. Theory Probab Appl. 1993;37(2):284–301. doi:10.1137/1137061
   Web of Science ®Google Scholar
• Nelsen RB. An Introduction to Copulas. Springer Science & Business Media; 2007.
   Google Scholar
• Carley H, Taylor MD. A new proof of Sklar’s theorem. In: Distributions with Given Marginals and Statistical Modelling. Dordrecht: Springer; 2002:29–34.
   Google Scholar
• Gray R. Flexible methods for analyzing survival data using splines, with application to breast cancer prognosis. JASA. 1992;87:942–951. doi:10.1080/01621459.1992.10476248
   Web of Science ®Google Scholar
• Clayton DG. A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika. 1978;65(1):141–151. doi:10.1093/biomet/65.1.141
   Web of Science ®Google Scholar
• Nielsen G, Gill R, Andersen P, Sorensen T. A counting process approach to maximum likelihood estimation in frailty models. Scand J Stat. 1992;19:25–43.
   Web of Science ®Google Scholar
• Ramsay J. Monotone regression spline in action. Statis Sci. 1988;3:425–461.
   Google Scholar
• Gari FS, Gelcho GN. Bivariate survival copula analysis of glaucoma patients during blindness: glaucoma cases at Alert Hospital in Addis Ababa City of Ethiopia. J Res Health Sci. 2022;22(2):e00547. PMID: 36511259; PMCID: PMC9818039. doi:10.34172/jrhs.2022.82
   PubMed Web of Science ®Google Scholar
• Shewa F, Endale S, Nugussu G, Abdisa J, Zerihun K, Banbeta A. Time to kidneys failure modeling in the patients at adama hospital medical college: application of copula model. J Res Health Sci. 2022;22(2):e00549. PMID: 36511261; PMCID: PMC9818037. doi:10.34172/jrhs.2022.84
   PubMed Web of Science ®Google Scholar
• Joe H. Multivariate Models and Multivariate Dependence Concepts. CRC Press; 1997.
   Google Scholar
• Sun T, Ding Y. CopulaCenR: copula based regression models for bivariate censored data in R. R J. 2020;12(1):266. doi:10.32614/RJ-2020-025
   Google Scholar
• Gorfine M, Hsu L, Parmigiani G. Frailty models for familial risk with application to breast cancer. J Am Stat Assoc. 2013;108(504):1205–1215. PMID: 24678132; PMCID: PMC3963469. doi:10.1080/01621459.2013.818001
   PubMed Web of Science ®Google Scholar
• Mazroui Y, Mathoulin-Pélissier S, Macgrogan G, Brouste V, Rondeau V. Multivariate frailty models for two types of recurrent events with a dependent terminal event: application to breast cancer data. Biom J. 2013;55(6):866–884. PMID: 23929494. doi:10.1002/bimj.201200196
   PubMed Web of Science ®Google Scholar
• Ioka A, Tsukuma H, Ajiki W, Oshima A. Influence of age on cervical cancer survival in Japan. Jpn J Clin Oncol. 2005;35(8):464–469. doi:10.1093/jjco/hyi125
   PubMed Web of Science ®Google Scholar
• Rositch AF, Nowak RG, Gravitt PE. Increased age and race‐specific incidence of cervical cancer after correction for hysterectomy prevalence in the United States from 2000 to 2009. Cancer. 2014;120(13):2032–2038. doi:10.1002/cncr.28548
   PubMed Web of Science ®Google Scholar
• Miller B, Morris M, Rutledge F, et al. Aborted exenterative procedures in recurrent cervical cancer. Gynecol Oncol. 1993;50(1):94–99. doi:10.1006/gyno.1993.1170
   PubMed Web of Science ®Google Scholar
• Mwaka AD, Orach CG, Were EM, Lyratzopoulos G, Wabinga H, Roland M. Awareness of cervical cancer risk factors and symptoms: cross‐sectional community survey in post‐conflict northern Uganda. Health Expect. 2016;19(4):854–867. doi:10.1111/hex.12382
   PubMed Web of Science ®Google Scholar
• Tadesse SK. Socio-economic and cultural vulnerabilities to cervical cancer and challenges faced by patients attending care at Tikur Anbessa Hospital: a cross sectional and qualitative study. BMC Women's Health. 2015;15(1):1–2. doi:10.1186/s12905-015-0231-0
   PubMedGoogle Scholar
• Mileshkin L, Paramanathan A, Kondalsamy-Chennakesavan S, Bernshaw D, Khaw P, Narayan K. Smokers with cervix cancer have more uterine corpus invasive disease and an increased risk of recurrence after treatment with chemoradiation. Int J Gynecol Cancer. 2014;24(7):1286–1291. doi:10.1097/IGC.0000000000000170
   PubMed Web of Science ®Google Scholar
• Colivicchi F, Mocini D, Tubaro M, Aiello A, Clavario P, Santini M. Effect of smoking relapse on outcome after acute coronary syndromes. Am J Cardiol. 2011;108(6):804–808. doi:10.1016/j.amjcard.2011.04.033
   PubMed Web of Science ®Google Scholar
• Kerber RA, O’Brien E. A cohort study of cancer risk in relation to family histories of cancer in the Utah population database. Cancer. 2005;103(9):1906–1915. doi:10.1002/cncr.20989
   PubMed Web of Science ®Google Scholar
• Ferreira MP, Coghill AE, Chaves CB, et al. Outcomes of cervical cancer among HIV-infected and uninfected women treated at the Brazilian National Institute of Cancer (2001–2013). AIDS. 2017;31(4):523. doi:10.1097/QAD.0000000000001367
   PubMed Web of Science ®Google Scholar
• Machida H, Iwata T, Okugawa K, et al. Fertility-sparing trachelectomy for early-stage cervical cancer: a proposal of an ideal candidate. Gynecol Oncol. 2020;156(2):341–348. doi:10.1016/j.ygyno.2019.11.021
   PubMed Web of Science ®Google Scholar
• Hanske J, Meyer CP, Sammon JD, et al. The influence of marital status on the use of breast, cervical, and colorectal cancer screening. Prev Med. 2016;89:140–145. doi:10.1016/j.ypmed.2016.05.017
   PubMed Web of Science ®Google Scholar
• Zhai Z, Zhang F, Zheng Y, et al. Effects of marital status on breast cancer survival by age, race, and hormone receptor status: a population-based Study. Cancer Med. 2019;8(10):4906–4917. PMID: 31267686; PMCID: PMC6712463. doi:10.1002/cam4.2352
   PubMed Web of Science ®Google Scholar