Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle

DOI10.1007/BF00276374zbMath0716.92017OpenAlexW2032172767WikidataQ52579976 ScholiaQ52579976MaRDI QIDQ753716

Joanna Tyrcha

Publication date: 1988

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00276374

zbMATH Keywords

asymptotic stabilityMarkov operatorcell cyclestability theoremprobabilistic/deterministic modeltandem model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Integral operators (47G10) Physiological, cellular and medical topics (92C99) Markov processes (60J99) Applications of operator theory in probability theory and statistics (47N30)

Related Items (12)

Law of large numbers for random dynamical systems ⋮ Strong law of large numbers for continuous random dynamical systems ⋮ Unnamed Item ⋮ Piecewise Deterministic Markov Processes in Biological Models ⋮ Dimension of invariant measures for continuous random dynamical systems ⋮ The central limit theorem for random dynamical systems ⋮ Stability in \(L^ 1\) of some integral operators ⋮ Stochastic Operators and Semigroups and Their Applications in Physics and Biology ⋮ Exponential rate of convergence for some Markov operators ⋮ Continuous random dynamical systems ⋮ Densities for piecewise deterministic Markov processes with boundary ⋮ Stochastic optimal growth with unbounded shock

Cites Work

• Globally asymptotic properties of proliferating cell populations
• Cell growth and division: a deterministic/probabilistic model of the cell cycle
• Exact Dynamical Systems and the Frobenius-Perron Operator
• Probabilistic Properties of Deterministic Systems

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