On a Model of Leukemia Development with a Spatial Cell Distribution

DOI10.1051/mmnp:2007005zbMath1337.92107OpenAlexW2162231911MaRDI QIDQ2788515

Vitaly A. Volpert, Arnaut Ducrot

Publication date: 19 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp:2007005

zbMATH Keywords

porous mediumreaction-diffusion systemleukemiabone marrowspace cell distribution

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Medical applications (general) (92C50)

Related Items (8)

Adaptive dynamics of hematopoietic stem cells and their supporting stroma: a model and mathematical analysis ⋮ Optimization of cytostatic leukemia therapy in an advection-reaction-diffusion model ⋮ Convergence of numerical schemes for convection-diffusion-reaction equations on generic meshes ⋮ Blood Cell Dynamics: Half of a Century of Modelling ⋮ Delayed nonlocal reaction–diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions ⋮ Stability and existence results for a time-delayed nonlocal model of hematopoietic stem cells dynamics ⋮ Dynamic hematological disease: a review ⋮ Coupled reaction-diffusion and difference system of cell-cycle dynamics for hematopoiesis process with Dirichlet boundary conditions

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• A new criterion for the global stability of simultaneous cell replication and maturation processes
• Global stability in a delayed partial differential equation describing cellular replication
• Cell Modelling of Hematopoiesis
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