A mechanistic breast cancer survival modelling through the axillary lymph node chain.

Abstract:

:In this paper, we proposed a mechanistic breast cancer survival model based on the axillary lymph node chain structure, considering lymph nodes as a potential dissemination arrangement. We assume a naive breast cancer treatment protocol consisting of exposing patients first to a chemotherapy treatment on r intervals at k-cycles separated by equal time intervals, and then they proceed to surgery. Our model, different from former ones, accommodates a quantity of contaminated lymph nodes, which is observed during surgery. We assume a generalised negative binomial survival distribution for the unknown number of contaminated lymph nodes after surgery, which, during an unknown period, may potentially propagate the disease. Estimation is based on a maximum likelihood approach. A simulation study assesses the coverage probability of asymptotic confidence intervals when small or moderate samples are considered. A Brazilian breast cancer data illustrate the applicability of our modelling.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Cobre J,Castro Perdoná GS,Peria FM,Louzada F

doi

10.1002/sim.5576

subject

Has Abstract

pub_date

2013-04-30 00:00:00

pages

1536-46

issue

9

eissn

0277-6715

issn

1097-0258

journal_volume

32

pub_type

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