\(\alpha\)-and \(\beta\)-curves, sister-sister and mother-daughter correlations in cell population dynamics
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Publication:1264109
DOI10.1016/0898-1221(89)90016-3zbMath0688.92011OpenAlexW2067013766MaRDI QIDQ1264109
Publication date: 1989
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0898-1221(89)90016-3
numerical examplesmodels of cell populationssize dependenceage and size structured cell population dynamicsalpha curvesbeta curvesmother-daughter cycle length correlationssister-sister correlation
Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Special processes (60K99)
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Cites Work
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- 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
- One-parameter semigroups of positive operators
- An eigenvalue problem related to cell growth
- A stochastic model of cell division (with application to fission yeast)
- Age-size structure in populations with quiescence
- Random transitions, size control, and inheritance in cell population dynamics
- A model of proliferating cell populations with correlation of mother- daughter mitotic times
- Recent views on the cell cycle structure
- Asynchronous Exponential Growth in Transition Probability Models of the Cell Cycle
- Steady-State Size Distributions in Probabilistic Models of the Cell Division Cycle
- Yeast population models for monitoring and control of biotechnical processes
- The Bifurcating Autoregression Model in Cell Lineage Studies
- 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
- A Nonlinear Model of Population Dynamics Containing an Arbitrary Number of Continuous Structure Variables
- On the stability of the cell-size distribution II: Time-periodic developmental rates
- ON THE ROLE OF VARIABLE GENERATION TIME IN THE DEVELOPMENT OF A STOCHASTIC BIRTH PROCESS