Random transitions, size control, and inheritance in cell population dynamics
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Publication:1096560
DOI10.1016/0025-5564(87)90100-3zbMath0633.92009OpenAlexW2023731180MaRDI QIDQ1096560
Publication date: 1987
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0025-5564(87)90100-3
cell population dynamicscycle lengthasynchronous exponential growthgeneralized modelsize controlalpha and beta curvescontinuous structure variablesdivision sizeExistence and uniqueness of the solutionsgeneration time distributionsinherited property modelsmother-daughter transit time correlationsrandom transitionsister- sister transit time correlationssister-sister and mother-daughter correlationssymmetric and asymmetric cell divisions
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Cites Work
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- Mathematical models of the cell cycle with a view to tumor studies
- Globally asymptotic properties of proliferating cell populations
- On the stability of the cell size distribution
- On the stable size distribution of populations reproducing by fission into two unequal parts
- Stability of the steady-state size distribution in a model of cell growth and division
- Cell growth and division: a deterministic/probabilistic model of the cell cycle
- An eigenvalue problem related to cell growth
- A model of proliferating cell populations with inherited cycle length
- Dynamics of structured populations with inherited properties
- A theory for the age and generation time distribution of a microbial population
- Recent views on the cell cycle structure
- Asynchronous Exponential Growth in Transition Probability Models of the Cell Cycle
- Yeast population models for monitoring and control of biotechnical processes
- Asymptotic Analysis of a Cell Cycle Model Based on Unequal Division
- An Abstract Delay-Differential Equation Modelling Size Dependent Cell Growth and Division
- An Operator-Theoretic Formulation of Asynchronous Exponential Growth
- On the stability of the cell-size distribution II: Time-periodic developmental rates
- Volterra integral equations and nonlinear semigroups
- ON THE ROLE OF VARIABLE GENERATION TIME IN THE DEVELOPMENT OF A STOCHASTIC BIRTH PROCESS
