Sample path properties of the average generation of a Bellman-Harris process
- Details
- Publication Year 2019-07,Volume 79,Issue #2,Page 673-704
- Journal Title
- Journal of Mathematical Biology
- Publication Type
- Journal Article
- Abstract
- Motivated by a recently proposed design for a DNA coded randomised algorithm that enables inference of the average generation of a collection of cells descendent from a common progenitor, here we establish strong convergence properties for the average generation of a super-critical Bellman-Harris process. We further extend those results to a two-type Bellman-Harris process where one type can give rise to the other, but not vice versa. These results further affirm the estimation method's potential utility by establishing its long run accuracy on individual sample-paths, and significantly expanding its remit to encompass cellular development that gives rise to differentiated offspring with distinct population dynamics.
- Publisher
- Springer
- Research Division(s)
- Immunology
- PubMed ID
- 31069504
- Publisher's Version
- https://doi.org/10.1007/s00285-019-01373-0
- Terms of Use/Rights Notice
- Refer to copyright notice on published article.
Creation Date: 2019-06-14 09:37:00
Last Modified: 2019-07-25 11:37:48