Sample Path Properties of the Average Generation of a Bellman-Harris Process

Overview

Journal J Math Biol

Date 2019 May 10

PMID 31069504

Citations 1

Authors

Gianfelice Meli

Tom S Weber

Ken R Duffy

Affiliations

Soon will be listed here.

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.

Citing Articles

Why are cell populations maintained via multiple compartments?.

Feliciangeli F, Dreiwi H, Lopez-Garcia M, Castro Ponce M, Molina-Paris C, Lythe G J R Soc Interface. 2022; 19(196):20220629.

PMID: 36349449 PMC: 9653237. DOI: 10.1098/rsif.2022.0629.

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