Global well-posedness for a drug transport model in tumor multicell spheroids

DOI10.1016/j.mcm.2006.07.004zbMath1165.35318OpenAlexW2072440109MaRDI QIDQ1029167

Xuemei Wei, Shang-bin Cui

Publication date: 9 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.07.004

zbMATH Keywords

existencetumor growthuniquenessfree boundary problemglobal solution

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Medical applications (general) (92C50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Cell biology (92C37) Free boundary problems for PDEs (35R35)

Related Items (4)

Analysis of a radial free boundary tumor model with time-dependent absorption efficiency ⋮ Application of collocation method for solving a parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application ⋮ A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids ⋮ A parabolic-hyperbolic system modeling the tumor growth with angiogenesis

Cites Work

• Unnamed Item
• Modelling the internalization of labelled cells in tumour spheroids
• The migration of cells in multicell tumor spheroids
• Cell migration in multicell spheroids: Swimming against the tide
• Analysis of a mathematical model for the growth of tumors
• A hyperbolic free boundary problem modeling tumor growth
• Growth of necrotic tumors in the presence and absence of inhibitors
• Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures
• Growth of nonnecrotic tumors in the presence and absence of inhibitors
• Global existence of solutions for a free boundary problem modeling the growth of necrotic tumors
• Global existence for a parabolic-hyperbolic free boundary problem modelling tumor growth
• Analysis of a free boundary problem modeling tumor growth
• A Stefan Problem for a Protocell Model
• Free boundary value problems associated with the growth and development of multicellular spheroids
• A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth
• ANALYSIS OF A MATHEMATICAL MODEL OF TUMOR LYMPHANGIOGENESIS
• A hyperbolic free boundary problem modeling tumor growth: Asymptotic behavior
• Models for the Growth of a Solid Tumor by Diffusion
• Analysis of a mathematical model of the growth of necrotic tumors

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