Object
Title: An application of general branching processes to a cell cycle model with two uncoupled sub-cycles and unequal cell division
Contributor:
Subtitle:
Mathematical Aspects of Population Dynamics
Group publication title:
Abstract:
A cell population model is constructed and analysed in the framework of general branching process theory. The model uses the idea that the DNA division cycle and the cell growth cycle are loosely coupled. The cell division is assumed to be unequal and the structure variables of the model are size and growth, where the growth is regulated by supramitotic growth control. ; An explicit expression for the stable birth type distribution is given and asymptotics, such as the [alpha]- and [beta]-curve and various size distributions, are derived. We also prove that the microheterogeneity in growth causes the mother-daughter life length correlation to be non-negative.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 10, number 1 (2000) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2000)
Last modified:
Sep 3, 2021
In our library since:
Apr 19, 2021
Number of object content hits:
55
All available object's versions:
https://zbc.uz.zgora.pl/publication/65056
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 1 (2000)
- Extinction, weak extinction and persistence in a discrete, competitive Lotka-Volterra model
- Solvability and asymptotic behavior of a population problem taking into account random mating and females' pregnancy
- Global asymptotic convergence results for multitype models
- On the dynamics of a chemostat model with delayed nutrient recycling
- Behaviour of solutions to Marchuk's model depending on a time delay
- Optimal harvesting of the nonlinear population dynamics
- Sustainable exploitation of biological populations
- An application of general branching processes to a cell cycle model with two uncoupled sub-cycles and unequal cell division
- Periodicity of the population size of an age-dependent model with a dominant age class by means of impulsive perturbations
- Cellular automata and many-particle systems modeling aggregation behavior among populations
- Spatial heterogeneity and local oscillation phase drifts in individual-based simulations of a prey-predator system
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 2 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 3 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 4 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10, number 1 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
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International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
