Analysis of a mathematical model of protocell
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Publication:1304614
DOI10.1006/jmaa.1999.6444zbMath1039.92008OpenAlexW2087603840MaRDI QIDQ1304614
Publication date: 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://purl.umn.edu/3297
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Cell biology (92C37) Free boundary problems for PDEs (35R35) Physiological, cellular and medical topics (92C99)
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Asymptotic behaviour of solutions of Fisher–KPP equation with free boundaries in time-periodic environment ⋮ Convergence of solutions for Fisher-KPP equation with a free boundary condition ⋮ Linear stability analysis for the free boundary problem modeling tumor growth with angiogenesis in the presence of inhibitors ⋮ Asymptotic behaviour of solutions of free boundary problems for Fisher-KPP equation ⋮ A qualitative analysis of a free boundary problem modeling tumor growth with angiogenesis ⋮ ASYMPTOTIC BEHAVIOR FOR RADIALLY SYMMETRIC SOLUTIONS OF A LOGISTIC EQUATION WITH A FREE BOUNDARY ⋮ On the mathematical controllability in a simple growth tumors model by the internal localized action of inhibitors
Cites Work
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- Physico-chemical model of a protocell
- Analysis of a mathematical model for the growth of tumors
- Growth of necrotic tumors in the presence and absence of inhibitors
- A nonlinear treatment of the protocell model by a boundary layer approximation
- Growth of nonnecrotic tumors in the presence and absence of inhibitors
- A Stefan Problem for a Protocell Model
- Free boundary value problems associated with the growth and development of multicellular spheroids
- Models for the Growth of a Solid Tumor by Diffusion
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