scholarly journals Applications of stochastic semigroups to cell cycle models

2019 ◽  
Vol 24 (5) ◽  
pp. 2365-2381
Author(s):  
Katarzyna Pichór ◽  
◽  
Ryszard Rudnicki ◽  
Keyword(s):  
Nature ◽  
1981 ◽  
Vol 293 (5834) ◽  
pp. 648-650 ◽  
Author(s):  
J. A. Smith ◽  
D. J. R. Laurence ◽  
P. S. Rudland

1994 ◽  
Vol 27 (1) ◽  
pp. 421-422
Author(s):  
Lorenzo Cazzador ◽  
Luigi Mariani

1988 ◽  
Vol 131 (2) ◽  
pp. 255-262 ◽  
Author(s):  
Gilles Hejblum ◽  
Dominique Costagliola ◽  
Alain-Jacques Valleron ◽  
Jean-Yves Mary
Keyword(s):  

2001 ◽  
Vol 213 (1) ◽  
pp. 89-101 ◽  
Author(s):  
JOANNA TYRCHA

2016 ◽  
Author(s):  
Kati Böhm ◽  
Fabian Meyer ◽  
Agata Rhomberg ◽  
Jörn Kalinowski ◽  
Catriona Donovan ◽  
...  

AbstractBacteria regulate chromosome replication and segregation tightly with cell division to ensure faithful segregation of DNA to daughter generations. The underlying mechanisms have been addressed in several model species. It became apparent that bacteria have evolved quite different strategies to regulate DNA segregation and chromosomal organization. We have investigated here how the actinobacteriumCorynebacterium glutamicumorganizes chromosome segregation and DNA replication. Unexpectedly, we find thatC. glutamicumcells are at least diploid under all conditions tested and that these organisms have overlapping C-periods during replication with both origins initiating replication simultaneously. Based on experimentally obtained data we propose growth rate dependent cell cycle models forC. glutamicum.


2001 ◽  
Vol 38 (03) ◽  
pp. 685-695 ◽  
Author(s):  
Marina Alexandersson

We use multi-type branching process theory to construct a cell population model, general enough to include a large class of such models, and we use an abstract version of the Perron-Frobenius theorem to prove the existence of the stable birth-type distribution. The generality of the model implies that a stable birth-size distribution exists in most size-structured cell cycle models. By adding the assumption of a critical size that each cell has to pass before division, called the nonoverlapping case, we get an explicit analytical expression for the stable birth-type distribution.


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