Stochastic models of tumor growth and the probability of elimination by cytotoxic cells

DOI10.1007/BF00275990zbMath0547.92002OpenAlexW2090345456WikidataQ52698330 ScholiaQ52698330MaRDI QIDQ799598

Stephen J. Merrill

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00275990

zbMATH Keywords

extinction probabilitydiffusion approximationscytotoxic cellsdensity dependent Markov jump processelimination probabilitygrowth of tumor cell populations

Mathematics Subject Classification ID

Applications of branching processes (60J85) Medical applications (general) (92C50) Continuous-time Markov processes on discrete state spaces (60J27) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (5)

About a generalized model of lymphoma ⋮ Applications and prospect of the nonlinear decoupling method ⋮ Stochastic modelling of slow-progressing tumors: analysis and applications to the cell interplay and control of low grade gliomas ⋮ Estimation of the Parameters of a Survival Process with Downward Jumps in Life Table ⋮ The stochastic dance of early HIV infection

Cites Work

• A model of the role of natural killer cells in immune surveillance. I
• Foundations of the use of an enzyme-kinetic analogy in cell-mediated cytotoxicity
• Immune surveillance and neoplasia. I: A minimal mathematical model
• Immune surveillance and neoplasia. II: A two-stage mathematical model
• A model of the role of natural killer cells in immune surveillance. II
• Birth-and-death processes, and the theory of carcinogenesis
• A branching model by population size dependence
• Limiting diffusions for population-size dependent branching processes
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