Analysis of a cell cycle model for Escherichia coli

1980 ◽  
Vol 9 (4) ◽  
pp. 389-398 ◽  
Author(s):  
Lilia Alberghina ◽  
Luigi Mariani
Keyword(s):  
Escherichia Coli ◽  
Cell Cycle ◽  
Cycle Model ◽  
A Cell

A cell cycle model and translation semigroups

1997 ◽  
Vol 54 (1) ◽  
pp. 135-153 ◽  
Author(s):  
Larbi Alaoui
Keyword(s):  
Cell Cycle ◽  
Cycle Model ◽  
A Cell ◽  
Translation Semigroups

A Cell Cycle Model Based on the Estrogen-Stimulated Uterus

1984 ◽  
Vol 87 (3/4) ◽  
pp. 151
Author(s):  
Lynn A. Lavia ◽  
Robert W. Kelly ◽  
Daniel K. Roberts
Keyword(s):  
Cell Cycle ◽  
Cycle Model ◽  
Model Based ◽  
A Cell

Simulation of a cell cycle model of slowly growing Eschericha coli cells

1973 ◽  
Vol 13 (2) ◽  
pp. 131-139
Author(s):  
W. A. Knorre ◽  
H. Müller ◽  
Z. Simon
Keyword(s):  
Cell Cycle ◽  
Cycle Model ◽  
A Cell

scholarly journals A Cell Cycle Model for Somitogenesis: Mathematical Formulation and Numerical Simulation

2000 ◽  
Vol 207 (3) ◽  
pp. 305-316 ◽  
Author(s):  
J.R. COLLIER ◽  
D. MCINERNEY ◽  
S. SCHNELL ◽  
P.K. MAINI ◽  
D.J. GAVAGHAN ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Cell Cycle ◽  
Mathematical Formulation ◽  
Cycle Model ◽  
A Cell

scholarly journals Energy Starvation Induces a Cell Cycle Arrest in Escherichia coli by Triggering Degradation of the DnaA Initiator Protein

2021 ◽  
Vol 8 ◽  
Author(s):  
Godefroid Charbon ◽  
Belén Mendoza-Chamizo ◽  
Christopher Campion ◽  
Xiaobo Li ◽  
Peter Ruhdal Jensen ◽  
...  
Keyword(s):  
Escherichia Coli ◽  
Cell Cycle ◽  
Growth Conditions ◽  
Chromosome Replication ◽  
Replication Initiation ◽  
Atp Depletion ◽  
Initiator Protein ◽  
Cycle Arrest ◽  
A Cell

During steady-state Escherichia coli growth, the amount and activity of the initiator protein, DnaA, controls chromosome replication tightly so that initiation only takes place once per origin in each cell cycle, regardless of growth conditions. However, little is known about the mechanisms involved during transitions from one environmental condition to another or during starvation stress. ATP depletion is one of the consequences of long-term carbon starvation. Here we show that DnaA is degraded in ATP-depleted cells. A chromosome replication initiation block is apparent in such cells as no new rounds of DNA replication are initiated while replication events that have already started proceed to completion.

On the existence of the stable birth-type distribution in a general branching process cell cycle model with unequal cell division

2001 ◽  
Vol 38 (03) ◽  
pp. 685-695 ◽  
Author(s):  
Marina Alexandersson
Keyword(s):  
Cell Cycle ◽  
Branching Process ◽  
Critical Size ◽  
Birth Size ◽  
Cycle Model ◽  
Frobenius Theorem ◽  
Type Distribution ◽  
A Cell ◽  
Cell Cycle Models ◽  
Birth Type

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.

Stochastic stability of a cell cycle model with "silence period"

2020 ◽  
Author(s):  
Yao Li ◽  
Cesar Augusto Vargas-Garcia ◽  
Abhyudai Singh
Keyword(s):  
Cell Cycle ◽  
Stochastic Stability ◽  
Cycle Model ◽  
A Cell

scholarly journals Coupling of proadipocyte growth arrest and differentiation. II. A cell cycle model for the physiological control of cell proliferation.

1982 ◽  
Vol 94 (2) ◽  
pp. 400-405 ◽  
Author(s):  
R E Scott ◽  
B J Hoerl ◽  
J J Wille ◽  
D L Florine ◽  
B R Krawisz ◽  
...  
Keyword(s):  
Cell Cycle ◽  
Cell Proliferation ◽  
Growth Arrest ◽  
Biological Processes ◽  
Cycle Model ◽  
Physiological Control ◽  
Physiological Factors ◽  
Regulatory Processes ◽  
A Cell

Experimental evidence is presented that supports a cell cycle model showing that there are five distinct biological processes involved in proadipocyte differentiation. These include: (a) growth arrest at a distinct state in the G1 phase of the cell cycle; (b) nonterminal differentiation; (c) terminal differentiation; (d) loss of the differentiated phenotype; and (e) reinitiation of cell proliferation. Each of these events is shown to be regulated by specific human plasma components or other physiological factors. At two states designated GD and GD', coupling of growth arrest and differentiation is shown to occur. We propose that these mechanisms for the coupling of growth arrest and differentiation are physiologically significant and mimic the regulatory processes that control stem cell proliferation in vivo.

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