A multitype infinite-allele branching process with applications to cancer evolution. (September 2015)
- Record Type:
- Journal Article
- Title:
- A multitype infinite-allele branching process with applications to cancer evolution. (September 2015)
- Main Title:
- A multitype infinite-allele branching process with applications to cancer evolution
- Authors:
- McDonald, Thomas O.
Kimmel, Marek - Abstract:
- Abstract : We extend the infinite-allele simple branching process of Griffiths and Pakes (1988) allowing the offspring to change types and labels. The model is developed and limit theorems are given for the growth of the number of labels of a specific type. We also discuss the asymptotics of the frequency spectrum. Finally, we present an application of the model's use in tumorigenesis.
- Is Part Of:
- Journal of applied probability. Volume 52:Number 3(2015)
- Journal:
- Journal of applied probability
- Issue:
- Volume 52:Number 3(2015)
- Issue Display:
- Volume 52, Issue 3 (2015)
- Year:
- 2015
- Volume:
- 52
- Issue:
- 3
- Issue Sort Value:
- 2015-0052-0003-0000
- Page Start:
- 864
- Page End:
- 876
- Publication Date:
- 2015-09
- Subjects:
- Infinite-allele branching process, -- multitype BGW process, -- modeling cancer evolution, -- population genetics, -- tumorigenesis
60J80, -- 60J85
519.2 - Journal URLs:
- https://www.cambridge.org/core/journals/journal-of-applied-probability ↗
- DOI:
- 10.1239/jap/1445543852 ↗
- Languages:
- English
- ISSNs:
- 0021-9002
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 8962.xml