Stochastic processes for solid tumor kinetics. I: Surface-regulated growth

DOI10.1016/0025-5564(74)90041-8zbMath0276.92006OpenAlexW1971187910MaRDI QIDQ1393359

R. Wette, I. Norman Katz, Ervin Y. Rodin

Publication date: 1974

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(74)90041-8

Mathematics Subject Classification ID

Population dynamics (general) (92D25) General biology and biomathematics (92B05) Markov processes (60J99)

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A simplified mathematical model of tumor growth ⋮ Tumor growth modeling via Fokker-Planck equation ⋮ Positive feedback and angiogenesis in tumor growth control ⋮ The method of characteristics applied to a stochastic two-stage model of carcinogenesis ⋮ The effects of tumor angiogenesis factor (TAF) and tumor inhibitor factors (TIFs) on tumor vascularization: A mathematical model ⋮ Studying the growth kinetics of untreated clinical tumors by using an advanced discrete simulation model ⋮ A stochastic model of tumor growth ⋮ Stochastic processes for solid tumor kinetics. II: Diffusion-regulated growth ⋮ Mathematical model of prevascular growth of a spherical carcinoma. II

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