Explicit separation of growth and motility in a new tumor cord model

DOI10.1007/s11538-008-9372-8zbMath1163.92018OpenAlexW1994745899WikidataQ51860617 ScholiaQ51860617MaRDI QIDQ1026617

Yang Kuang, Craig J. Thalhauser, Tejas Sankar, Mark C. Preul

Publication date: 25 June 2009

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

Full work available at URL: https://doi.org/10.1007/s11538-008-9372-8

zbMATH Keywords

reaction-diffusion equationsmathematical modelstheoretical oncologytumor cords

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Developmental biology, pattern formation (92C15) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (7)

Traveling Waves of a Go-or-Grow Model of Glioma Growth ⋮ Tumor growth dynamics with nutrient limitation and cell proliferation time delay ⋮ Nutrient limitations as an explanation of Gompertzian tumor growth ⋮ Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations ⋮ In silico modelling of tumour margin diffusion and infiltration: review of current status ⋮ Quiescence as an explanation of Gompertzian tumor growth revisited ⋮ Nonlinear modeling with mammographic evidence of carcinoma

Cites Work

• Regression and regrowth of tumour cords following single-dose anticancer treatment
• Competition and natural selection in a mathematical model of cancer
• A history of the study of solid tumour growth: the contribution of mathematical modelling
• Hypoxia and reoxygenation: a pressure for mutant p53 cell selection and tumour progression
• Estimating the selective advantage of mutant p53 tumour cells to repeated rounds of hypoxia
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Cell kinetics in tumour cords studied by a model with variable cell cycle length
• Analysis of tumor as an inverse problem provides a novel theoretical framework for understanding tumor biology and therapy
• Models for the Growth of a Solid Tumor by Diffusion

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