The Aldous-Shields model revisited (with application to cellular ageing)

Details The Aldous-Shields model revisited (with application to cellular ageing) The Aldous-Shields model revisited (with application to cellular ageing)

2010-04-09

arxiv.org/abs/1004.1581v1

Mathematics

Probability

13 pages, 2 figures

Scientific paper

In Aldous and Shields (1988), a model for a rooted, growing random binary tree was presented. For some c>0, an external vertex splits at rate c^(-i) (and becomes internal) if its distance from the root (depth) is i. For c>1, we reanalyse the tree profile, i.e. the numbers of external vertices in depth i=1,2,.... Our main result are concrete formulas for the expectation and covariance-structure of the profile. In addition, we present the application of the model to cellular ageing. Here, we assume that nodes in depth h+1 are senescent, i.e. do not split. We obtain a limit result for the proportion of non-senescent vertices for large h.

Affiliated with

Also associated with

No associations

Rating

The Aldous-Shields model revisited (with application to cellular ageing) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Aldous-Shields model revisited (with application to cellular ageing), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Aldous-Shields model revisited (with application to cellular ageing) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-221458