Stochastic life-cycle analysis: renewal-theory life-cycle analysis with state-dependent deterioration stochastic models

2019 ◽  
Vol 15 (8) ◽  
pp. 1001-1014 ◽  
Author(s):  
Gaofeng Jia ◽  
Paolo Gardoni
1988 ◽  
Vol 25 (A) ◽  
pp. 91-111
Author(s):  
Peter J. Brockwell

We discuss the role of stochastic processes in modelling the life-cycle of a biological cell and the growth of cell populations. Results for multiphase age-dependent branching processes have proved invaluable for the interpretation of many of the basic experimental studies of the life-cycle. Moreover problems from cell kinetics, in particular those related to diurnal rhythm in cell-growth, have stimulated research into ‘periodic' renewal theory, and the asymptotic behaviour of populations of cells with periodic death rate.


1988 ◽  
Vol 25 (A) ◽  
pp. 91-111
Author(s):  
Peter J. Brockwell

We discuss the role of stochastic processes in modelling the life-cycle of a biological cell and the growth of cell populations. Results for multiphase age-dependent branching processes have proved invaluable for the interpretation of many of the basic experimental studies of the life-cycle. Moreover problems from cell kinetics, in particular those related to diurnal rhythm in cell-growth, have stimulated research into ‘periodic' renewal theory, and the asymptotic behaviour of populations of cells with periodic death rate.


2008 ◽  
Vol 4 (4) ◽  
pp. 318-323 ◽  
Author(s):  
Hirotsugu KAMAHARA ◽  
Shun YAMAGUCHI ◽  
Ryuichi TACHIBANA ◽  
Naohiro GOTO ◽  
Koichi FUJIE

2019 ◽  
Vol 28 (1) ◽  
pp. 131-158
Author(s):  
Hanbyeol Yoo ◽  
T.J. Lah

2018 ◽  
Author(s):  
Timothy J Skone ◽  
Greg Schivley ◽  
Matthew Jamieson ◽  
Joe Marriott ◽  
Greg Cooney ◽  
...  

2019 ◽  
Author(s):  
James Littlefield ◽  
Selina Roman-White ◽  
Dan Augustine ◽  
Ambica Pegallapati ◽  
George G. Zaimes ◽  
...  

2013 ◽  
Author(s):  
Timothy J. Skone ◽  
Robert E. James III ◽  
Greg Cooney ◽  
Matt Jamieson ◽  
James Littlefield ◽  
...  

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