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      Advantages of a multi-state approach in surgical research: how intermediate events and risk factor profile affect the prognosis of a patient with locally advanced rectal cancer

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          Abstract

          Background

          Standard survival analysis fails to give insight into what happens to a patient after a first outcome event (like first relapse of a disease). Multi-state models are a useful tool for analyzing survival data when different treatments and results (intermediate events) can occur. Aim of this study was to implement a multi-state model on data of patients with rectal cancer to illustrate the advantages of multi-state analysis in comparison to standard survival analysis.

          Methods

          We re-analyzed data from the RCT FOGT-2 study by using a multi-state model. Based on the results we defined a high and low risk reference patient. Using dynamic prediction, we estimated how the survival probability changes as more information about the clinical history of the patient becomes available.

          Results

          A patient with stage UICC IIIc (vs UICC II) has a higher risk to develop distant metastasis (DM) or both DM and local recurrence (LR) if he/she discontinues chemotherapy within 6 months or between 6 and 12 months, as well as after the completion of 12 months CTx with HR 3.55 ( p = 0.026), 5.33 ( p = 0.001) and 3.37 ( p < 0.001), respectively. He/she also has a higher risk to die after the development of DM (HR 1.72, p = 0.023). Anterior resection vs. abdominoperineal amputation means 63% risk reduction to develop DM or both DM and LR (HR 0.37, p = 0.003) after discontinuation of chemotherapy between 6 and 12 months. After development of LR, a woman has a 4.62 times higher risk to die ( p = 0.006). A high risk reference patient has an estimated 43% 5-year survival probability at start of CTx, whereas for a low risk patient this is 79%. After the development of DM 1 year later, the high risk patient has an estimated 5-year survival probability of 11% and the low risk patient one of 21%.

          Conclusions

          Multi-state models help to gain additional insight into the complex events after start of treatment. Dynamic prediction shows how survival probabilities change by progression of the clinical history.

          Electronic supplementary material

          The online version of this article (10.1186/s12874-018-0476-z) contains supplementary material, which is available to authorized users.

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          Most cited references27

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          Enabling personalized cancer medicine through analysis of gene-expression patterns.

          Therapies for patients with cancer have changed gradually over the past decade, moving away from the administration of broadly acting cytotoxic drugs towards the use of more-specific therapies that are targeted to each tumour. To facilitate this shift, tests need to be developed to identify those individuals who require therapy and those who are most likely to benefit from certain therapies. In particular, tests that predict the clinical outcome for patients on the basis of the genes expressed by their tumours are likely to increasingly affect patient management, heralding a new era of personalized medicine.
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            The mstate package for estimation and prediction in non- and semi-parametric multi-state and competing risks models.

            In recent years, multi-state models have been studied widely in survival analysis. Despite their clear advantages, their use in biomedical and other applications has been rather limited so far. An important reason for this is the lack of flexible and user-friendly software for multi-state models. This paper introduces a package in R, called 'mstate', for each of the steps of the analysis of multi-state models. It can be applied to non- and semi-parametric models. The package contains functions to facilitate data preparation and flexible estimation of different types of covariate effects in the context of Cox regression models, functions to estimate patient-specific transition intensities, dynamic prediction probabilities and their associated standard errors (both Greenwood and Aalen-type). Competing risks models can also be analyzed by means of mstate, as they are a special type of multi-state models. The package is available from the R homepage http://cran.r-project.org. We give a self-contained account of the underlying mathematical theory, including a new asymptotic result for the cumulative hazard function and new recursive formulas for the calculation of the estimated standard errors of the estimated transition probabilities, and we illustrate the use of the key functions of the mstate package by the analysis of a reversible multi-state model describing survival of liver cirrhosis patients. Copyright 2010 Elsevier Ireland Ltd. All rights reserved.
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              mstate: AnRPackage for the Analysis of Competing Risks and Multi-State Models

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                Author and article information

                Contributors
                0049-731-50053546 , giulia.manzini@uniklinik-ulm.de
                thomas.ettrich@uniklinik-ulm.de
                michael.kremer@uniklinik-ulm.de
                marko.kornmann@uniklinik-ulm.de
                doris.henne-bruns@uniklinik-ulm.de
                D.A.Eikema@lumc.nl
                peter.schlattmann@med.uni-jena.de
                l.c.de_wreede@lumc.nl
                Journal
                BMC Med Res Methodol
                BMC Med Res Methodol
                BMC Medical Research Methodology
                BioMed Central (London )
                1471-2288
                13 February 2018
                13 February 2018
                2018
                : 18
                : 23
                Affiliations
                [1 ]GRID grid.410712.1, Department of General and Visceral Surgery, , University Hospital of Ulm, ; Albert-Einstein-Allee 23, 89073 Ulm, Germany
                [2 ]GRID grid.410712.1, Department of Internal Medicine, , University Hospital of Ulm, ; Ulm, Germany
                [3 ]ISNI 0000000089452978, GRID grid.10419.3d, Department of Medical Statistics and Bioinformatics, , Leiden University Medical Center (LUMC), ; Leiden, Netherlands
                [4 ]ISNI 0000 0001 1939 2794, GRID grid.9613.d, Department of Medical Statistics, Informatics and Documentation, , University of Jena, ; Jena, Germany
                Author information
                http://orcid.org/0000-0002-8032-8043
                Article
                476
                10.1186/s12874-018-0476-z
                5811976
                29439652
                56bb2b41-7d9c-41f8-a6d6-33215814d6b9
                © The Author(s). 2018

                Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License ( http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver ( http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

                History
                : 11 January 2018
                : 16 January 2018
                Categories
                Research Article
                Custom metadata
                © The Author(s) 2018

                Medicine
                multi-state model (msm),dynamic prediction,rectal cancer (rc),local recurrence (lr),distant metastasis (dm)

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