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A general piecewise multi-state survival model: Application to breast cancer
dc.contributor.author | Ruiz Castro, Juan Eloy | |
dc.contributor.author | Zenga, Mariangela | |
dc.date.accessioned | 2021-06-23T10:46:30Z | |
dc.date.available | 2021-06-23T10:46:30Z | |
dc.date.issued | 2019-12-17 | |
dc.identifier.citation | Ruiz-Castro, J.E., Zenga, M. A general piecewise multi-state survival model: application to breast cancer. Stat Methods Appl 29, 813–843 (2020). https://doi.org/10.1007/s10260-019-00505-6 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10481/69357 | |
dc.description.abstract | Multi-state models are considered in the field of survival analysis for modelling illnesses that evolve through several stages over time. Multi-state models can be developed by applying several techniques, such as non-parametric, semi-parametric and stochastic processes, particularly Markov processes. When the development of an illness is being analysed, its progression is tracked periodically. Medical reviews take place at discrete times, and a panel data analysis can be formed. In this paper, a discrete-time piecewise non-homogeneous Markov process is constructed for modelling and analysing a multi-state illness with a general number of states. The model is built, and relevant measures, such as survival function, transition probabilities, mean total times spent in a group of states and the conditional probability of state change, are determined. A likelihood function is built to estimate the parameters and the general number of cut-points included in the model. Time-dependent covariates are introduced, the results are obtained in a matrix algebraic form and the algorithms are shown. The model is applied to analyse the behaviour of breast cancer. A study of the relapse and survival times of 300 breast cancer patients who have undergone mastectomy is developed. The results of this paper are implemented computationally with MATLAB and R. | es_ES |
dc.description.sponsorship | Ministerio de Economía y Competitividad FQM-307 | es_ES |
dc.description.sponsorship | European Regional Development Fund (ERDF) MTM2017-88708-P | es_ES |
dc.description.sponsorship | University of Milano-Bicocca 2014-ATE-0228 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer | es_ES |
dc.subject | Survival | es_ES |
dc.subject | Breast Cancer | es_ES |
dc.subject | Piecewise Markov model | es_ES |
dc.subject | Multi-state model | es_ES |
dc.title | A general piecewise multi-state survival model: Application to breast cancer | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | https://doi.org/10.1007/s10260-019-00505-6 | |
dc.type.hasVersion | info:eu-repo/semantics/submittedVersion | es_ES |