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一种广义的冈珀茨促癌时间治愈模型及其对癌症数据的拟合

A generalized Gompertz promotion time cure model and its fitness to cancer data.

作者信息

Tahira Ayesha, Danish Muhammad Yameen

机构信息

Department of Statistics, AIOU, Islamabad, Pin 44000, Pakistan.

出版信息

Heliyon. 2024 Jun 1;10(11):e32038. doi: 10.1016/j.heliyon.2024.e32038. eCollection 2024 Jun 15.

DOI:10.1016/j.heliyon.2024.e32038
PMID:38912437
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11190554/
Abstract

The cure models based on standard distributions like exponential, Weibull, lognormal, Gompertz, gamma, are often used to analyze survival data from cancer clinical trials with long-term survivors. Sometimes, the data is simple, and the standard cure models fit them very well, however, most often the data are complex and the standard cure models don't fit them reasonably well. In this article, we offer a novel generalized Gompertz promotion time cure model and illustrate its fitness to gastric cancer data by three different methods. The generalized Gompertz distribution is as simple as the generalized Weibull distribution and is not computationally as intensive as the generalized F distribution. One detailed real data application is provided for illustration and comparison purposes.

摘要

基于指数分布、威布尔分布、对数正态分布、冈珀茨分布、伽马分布等标准分布的治愈模型,常用于分析来自有长期存活者的癌症临床试验的生存数据。有时,数据很简单,标准治愈模型能很好地拟合它们,然而,大多数情况下数据很复杂,标准治愈模型不能很好地合理拟合它们。在本文中,我们提出了一种新颖的广义冈珀茨促进时间治愈模型,并通过三种不同方法说明了其对胃癌数据的拟合情况。广义冈珀茨分布与广义威布尔分布一样简单,并且在计算上不像广义F分布那样密集。为了说明和比较目的,提供了一个详细的实际数据应用。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/3f90ae54a89f/fx1a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/f7e2071c7570/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/747b1465a3fd/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/6270d7792a6c/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/9541afec46af/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/732f69e4dde7/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/3f90ae54a89f/fx1a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/f7e2071c7570/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/747b1465a3fd/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/6270d7792a6c/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/9541afec46af/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/732f69e4dde7/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b470/11190554/3f90ae54a89f/fx1a.jpg

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A new cure model that corrects for increased risk of non-cancer death: analysis of reliability and robustness, and application to real-life data.一种新的校正非癌症死亡风险增加的治疗模型:可靠性和稳健性分析及其在实际数据中的应用。
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Cure models to estimate time until hospitalization due to COVID-19: A case study in Galicia (NW Spain).用于估计因 COVID-19 住院所需时间的治愈模型:加利西亚(西班牙西北部)的案例研究。
Appl Intell (Dordr). 2022;52(1):794-807. doi: 10.1007/s10489-021-02311-8. Epub 2021 May 12.
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A Flexible Reduced Logarithmic- Family of Distributions with Biomedical Analysis.
一种具有生物医学分析应用的灵活的对数族分布。
Comput Math Methods Med. 2020 Feb 20;2020:4373595. doi: 10.1155/2020/4373595. eCollection 2020.
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Bayesian Analysis of Three-Parameter Frechet Distribution with Medical Applications.具有医学应用的三参数弗雷歇分布的贝叶斯分析
Comput Math Methods Med. 2019 Mar 12;2019:9089856. doi: 10.1155/2019/9089856. eCollection 2019.
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Expectation maximization-based likelihood inference for flexible cure rate models with Weibull lifetimes.基于期望最大化的具有威布尔寿命的灵活治愈率模型的似然推断。
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