期刊
MATHEMATICAL BIOSCIENCES
卷 353, 期 -, 页码 -出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2022.108897
关键词
Breast cancer; Screening; Random effects model; Continuous growth model; Tumour growth model; Latent processes
资金
- Swedish Research Council [2020-01302]
- Swedish Cancer Society [CAN 2020-0714]
- Intelligent Decision Analytics AB [Org.nr: 559295-6089]
- Vinnova [2020-01302] Funding Source: Vinnova
- Swedish Research Council [2020-01302] Funding Source: Swedish Research Council
The aim of this article is to propose a framework for modeling breast cancer tumor growth based on human data. The framework includes a general likelihood function, stable disease assumptions, and mathematical models.
The aim of the current article is to present theory that can help unify continuous growth approaches for modelling breast cancer tumour growth based on human data. We present a framework that has three main features: a general likelihood function to account for patient specific screening regiments; stable disease assumptions describing tumour population dynamics; and mathematical models describing tumour growth, individual variation in tumour growth, a hazard for symptomatic detection, and screening test sensitivity. The framework is able to incorporate any random effects distributions for the tumour growth rate parameter, any hazard functions for symptomatic tumour detection, as well as any monotonously increasing function for the tumour growth model.Based on a sample of 1902 incident breast cancer cases with data on mammography screening, we show how the framework can be used to estimate tumour growth based on different growth functions.
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