Prognosis of cancer survivors: estimation based on differential equations

Summary We present a method for estimating several prognosis parameters for cancer survivors. The method utilizes the fact that these parameters solve differential equations driven by cumulative hazards. By expressing the parameters as solutions to differential equations, we develop generic estimato...

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Bibliographic Details
Published in:Biostatistics (Oxford, England) England), 2023-04, Vol.24 (2), p.345-357
Main Authors: Ryalen, Pål C, Møller, Bjørn, Laache, Christoffer H, Stensrud, Mats J, Røysland, Kjetil
Format: Article
Language:English
Subjects:
Cancer Survivors
Humans
Models, Statistical
Neoplasms - diagnosis
Norway
Prognosis
Software
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Summary:Summary We present a method for estimating several prognosis parameters for cancer survivors. The method utilizes the fact that these parameters solve differential equations driven by cumulative hazards. By expressing the parameters as solutions to differential equations, we develop generic estimators that are easy to implement with standard statistical software. We explicitly describe the estimators for prognosis parameters that are often employed in practice, but also for parameters that, to our knowledge, have not been used to evaluate prognosis. We then apply these parameters to assess the prognosis of five common cancers in Norway.
ISSN:1465-4644
1468-4357
DOI:10.1093/biostatistics/kxab009