A Crump-Mode-Jagers Branching Process Model of Prion Loss in Yeast. (June 2014)

• Record Type: Journal Article
• Authors: Olofsson, Peter; Sindi, Suzanne S.
• Is Part Of: Journal of applied probability. Volume 51:Number 2(2014)
• Page Start: 453
• Page End: 465
• Publication Date: 2014-06
• Subjects: Branching process, -- prion, -- yeast; 60G99, -- 60K99, -- 62P10, -- 92D25; 519.2
• DOI: 10.1239/jap/1402578636
• Languages: English
• ISSNs: 0021-9002

Abstract

Abstract : The yeast Saccharomyces cerevisiae has emerged as an ideal model system to study the dynamics of prion proteins which are responsible for a number of fatal neurodegenerative diseases in humans. Within an infected cell, prion proteins aggregate in complexes which may increase in size or be fragmented and are transmitted upon cell division. Recent work in yeast suggests that only aggregates below a critical size are transmitted efficiently. We formulate a continuous-time branching process model of a yeast colony under conditions of prion curing. We generalize previous approaches by providing an explicit formula approximating prion loss as influenced by both aggregate growth and size-dependent transmission.