Analysis of a New Model of Cell Population Dynamics in Acute Myeloid Leukemia

DOI10.1007/978-3-319-01695-5_23zbMath1275.93008OpenAlexW173025986MaRDI QIDQ2863208

Faten Merhi, Jean Clairambault, Annabelle Ballesta, José Ávila, Jean-Pierre Marie, Ruoping Tang, Özbay, Hitay, Catherine Bonnet, Silviu Iulian Niculescu

Publication date: 21 November 2013

Published in: Delay Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-01695-5_23

zbMATH Keywords

cell population dynamicslocal stability analysisacute myeloid leukemia (AML)four internal sub-systemstransport partial differential equations

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Biochemistry, molecular biology (92C40)

Related Items (4)

Blood Cell Dynamics: Half of a Century of Modelling ⋮ Global stability analysis and optimal control therapy of blood cell production process (hematopoiesis) in acute myeloid leukemia ⋮ Stability of the cell dynamics in acute myeloid leukemia ⋮ Analysis of a New Model of Cell Population Dynamics in Acute Myeloid Leukemia

Cites Work

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• Boundedness and Lyapunov function for a nonlinear system of hematopoietic stem cell dynamics
• Asymptotic behavior and stability switch for a mature-immature model of cell differentiation
• Dynamic hematological disease: a review
• Stability crossing boundaries of delay systems modeling immune dynamics in leukemia
• Analysis of a New Model of Cell Population Dynamics in Acute Myeloid Leukemia
• Stability Analysis of Cell Dynamics in Leukemia
• Local Asymptotic Stability Conditions for the Positive Equilibrium of a System Modeling Cell Dynamics in Leukemia
• DISCRETE-MATURITY STRUCTURED MODEL OF CELL DIFFERENTIATION WITH APPLICATIONS TO ACUTE MYELOGENOUS LEUKEMIA

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