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A general class of promotion time cure rate models with a new biological interpretation

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Abstract

Over the last decades, the challenges in survival models have been changing considerably and full probabilistic modeling is crucial in many medical applications. Motivated from a new biological interpretation of cancer metastasis, we introduce a general method for obtaining more flexible cure rate models. The proposal model extended the promotion time cure rate model. Furthermore, it includes several well-known models as special cases and defines many new special models. We derive several properties of the hazard function for the proposed model and establish mathematical relationships with the promotion time cure rate model. We consider a frequentist approach to perform inferences, and the maximum likelihood method is employed to estimate the model parameters. Simulation studies are conducted to evaluate its performance with a discussion of the obtained results. A real dataset from population-based study of incident cases of melanoma diagnosed in the state of São Paulo, Brazil, is discussed in detail.

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Authors and Affiliations

  1. Departamento de Medicina, Facultad de Medicina, Universidad de Atacama, Copiapó, Chile

    Yolanda M. Gómez & Diego I. Gallardo

  2. Departamento de Matemática, Facultad de Ingeniería, Universidad de Atacama, Copiapó, Chile

    Diego I. Gallardo

  3. Departamento de Estatística, Universidade Federal do Rio Grande do Norte, Natal, RN, 59078-970, Brazil

    Marcelo Bourguignon

  4. Skin Cancer Department, A.C.Camargo Cancer Center, São Paulo, SP, Brazil

    Eduardo Bertolli

  5. Oncology Center, Beneficência Portuguesa, São Paulo, SP, Brazil

    Eduardo Bertolli

  6. Biostatistics and Bioinformatics Research Center, Cedars-Sinai Medical Center, Los Angeles, CA, USA

    Vinicius F. Calsavara

Authors
  1. Yolanda M. Gómez
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  2. Diego I. Gallardo
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  3. Marcelo Bourguignon
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  4. Eduardo Bertolli
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  5. Vinicius F. Calsavara
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Correspondence to Marcelo Bourguignon.

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Gómez, Y.M., Gallardo, D.I., Bourguignon, M. et al. A general class of promotion time cure rate models with a new biological interpretation. Lifetime Data Anal 29, 66–86 (2023). https://doi.org/10.1007/s10985-022-09575-3

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  • DOI: https://doi.org/10.1007/s10985-022-09575-3

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