\(\alpha\)-and \(\beta\)-curves, sister-sister and mother-daughter correlations in cell population dynamics
type: Item
instance of: scholarly article
title: \(\alpha\)-and \(\beta\)-curves, sister-sister and mother-daughter correlations in cell population dynamics
zbMATH Open document ID: 0688.92011
DOI: 10.1016/0898-1221(89)90016-3
publication date: 1989-01-01T00:00:00Z
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 60K99
zbMATH DE Number: 4128695
zbMATH Keywords: alpha curves
zbMATH Keywords: beta curves
zbMATH Keywords: models of cell populations
zbMATH Keywords: sister-sister correlation
zbMATH Keywords: mother-daughter cycle length correlations
zbMATH Keywords: age and size structured cell population dynamics
zbMATH Keywords: size dependence
zbMATH Keywords: numerical examples
author: Glenn Webb
MaRDI profile type: Publication
full work available at URL: 0898-1221(89)90016-3
OpenAlex ID: W2067013766
cites work: Yeast population models for monitoring and control of biotechnical processes
cites work: One-parameter semigroups of positive operators
cites work: Recent views on the cell cycle structure
cites work: A model of proliferating cell populations with correlation of mother- daughter mitotic times
cites work: On the stability of the cell size distribution
cites work: On the stability of the cell-size distribution II: Time-periodic developmental rates
cites work: Q3050174
cites work: An Abstract Delay-Differential Equation Modelling Size Dependent Cell Growth and Division
cites work: Age-size structure in populations with quiescence
cites work: On the stable size distribution of populations reproducing by fission into two unequal parts
cites work: Q4723599
cites work: Q3212958
cites work: A Nonlinear Model of Population Dynamics Containing an Arbitrary Number of Continuous Structure Variables
cites work: An Operator-Theoretic Formulation of Asynchronous Exponential Growth
cites work: Random transitions, size control, and inheritance in cell population dynamics
cites work: Asynchronous Exponential Growth in Transition Probability Models of the Cell Cycle
cites work: Q3951946
cites work: Asymptotic Analysis of a Cell Cycle Model Based on Unequal Division
cites work: Q3686478
cites work: A stochastic model of cell division (with application to fission yeast)
cites work: Stability of the steady-state size distribution in a model of cell growth and division
cites work: Steady-State Size Distributions in Probabilistic Models of the Cell Division Cycle
cites work: Cell growth and division: a deterministic/probabilistic model of the cell cycle
cites work: ON THE ROLE OF VARIABLE GENERATION TIME IN THE DEVELOPMENT OF A STOCHASTIC BIRTH PROCESS
cites work: An eigenvalue problem related to cell growth
cites work: Globally asymptotic properties of proliferating cell populations
cites work: The Bifurcating Autoregression Model in Cell Lineage Studies
cites work: Q3950354
Recommended article: A model of proliferating cell populations with correlation of mother- daughter mitotic times
Recommended article: The asymptotic behavior of a structured cell population
Recommended article: Branching processes and functional differential equations determining steady-size distributions in cell populations
Recommended article: Q4247741
Recommended article: Q4360324
Recommended article: Structured populations, cell growth and measure valued balance laws
Recommended article: A branching process version of the bell-anderson cell population model
Recommended article: On the relationship between cell cycle analysis with ergodic principles and age-structured cell population models
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4128695