title: What can be learnt about disease progression in breast cancer dormancy from relapse data?
abstract: Breast cancer patients have an anomalously high rate of relapse many years--up to 25 years--after apparently curative surgery removed the primary tumour. Disease progression during the intervening years between resection and relapse is poorly understood. There is evidence that the disease persists as dangerous, tiny metastases that remain at a growth restricted, clinically undetectable size until a transforming event restarts growth. This is the starting point for our study, where patients who have metastases that are all tiny and growth-restricted are said to have cancer dormancy. Can long-term follow-up relapse data from breast cancer patients be used to extract knowledge about the progression of the undetected disease? Here, we evaluate whether this is the case by introducing and analysing four simple mathematical models of cancer dormancy. These models extend the common assumption that a random transforming event, such as a mutation, can restart growth of a tiny, growth-restricted metastasis; thereafter, cancer dormancy progresses to detectable metastasis. We find that physiopathological details, such as the number of random transforming events that metastases must undergo to escape from growth restriction, cannot be extracted from relapse data. This result is unsurprising. However, the same analysis suggested a natural question that does have a surprising answer: why are interesting trends in long-term relapse data not more commonly observed? Further, our models indicate that (a) therapies which induce growth restriction among metastases but do not prevent increases in metastases' tumourigenicity may introduce a time post-surgery when more patients are prone to relapse; and (b), if a number of facts about disease progression are first established, how relapse data might be used to estimate clinically relevant variables, such as the likely numbers of undetected growth-restricted metastases. This work is a necessary, early step in building a quantitative mechanistic understanding of cancer dormancy.
authors.affiliation: Centre for Mathematics and Physics in the Life Sciences and EXperimental Biology, University College London, London, United Kingdom. lw464@cam.ac.uk
authors.forename: Lisa
authors.initials: L
authors.lastname: Willis
authors.forename: Trevor A
authors.initials: TA
authors.lastname: Graham
authors.forename: Tomás
authors.initials: T
authors.lastname: Alarcón
authors.forename: Malcolm R
authors.initials: MR
authors.lastname: Alison
authors.forename: Ian P M
authors.initials: IP
authors.lastname: Tomlinson
authors.forename: Karen M
authors.initials: KM
authors.lastname: Page
mesh_terms: D000465:Algorithms; D001943:Breast Neoplasms / Q000473:pathology* / Q000601:surgery; D018450:Disease Progression; D005260:Female; D006801:Humans; D008390:Markov Chains; D008954:Models, Biological; D061206:Neoplasm Micrometastasis; D009364:Neoplasm Recurrence, Local / Q000517:prevention & control*