Stochastic models for subpopulation emergence in heterogeneous tumors

DOI10.1007/BF02459658zbMath0679.92003OpenAlexW1992089595WikidataQ52425833 ScholiaQ52425833MaRDI QIDQ1823176

Yanyan Li

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf02459658

zbMATH Keywords

finite element approachforward Kolmogorov equationstochastic modelFokker-Planckdrug resistanceheterogeneous tumorssubpopulation emergencesubpopulation extinction probabilities

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Medical applications (general) (92C50) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

Influence of time-dependent stochastic heterogeneity on the radiation response of a cell population, Modeling growth of a heterogeneous tumor

Cites Work

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• Random predator-prey interactions in a varying environment: Extinction or survival
• The effect of cellular differentiation on the development of permanent drug resistance
• A branching-process model for heterogeneous cell populations
• Random environments and stochastic calculus
• Selection under random mutations in stochastic Eigen model
• Analysis of the growth of tumor cell populations
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Numerical solution of the Fokker Planck equation using moving finite elements