A model of oscillatory blood cell counts in chronic myelogenous leukaemia

DOI10.1007/s11538-011-9656-2zbMath1251.92019OpenAlexW2097601647WikidataQ50539303 ScholiaQ50539303MaRDI QIDQ417299

Ivana Drobnjak, Andrew C. Fowler

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1007/s11538-011-9656-2

zbMATH Keywords

oscillationsdelay equationsblast crisischronic myelogenous leukaemiachronic phaseCML

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Medical applications (general) (92C50)

Related Items (5)

Dynamic Scenario in HTLV-I Infection ⋮ On the global dynamics of a chronic myelogenous leukemia model ⋮ Optimal control analysis of a leukemia model under imatinib treatment ⋮ Asymptotic behavior of solutions of nonlinear models from erythropoiesis ⋮ A study on stability and medical implications for a complex delay model for CML with cell competition and treatment

Cites Work

• High frequency spikes in long period blood cell oscillations
• A mathematical model of neutrophil production and control in normal man
• Global stability in a delayed partial differential equation describing cellular replication
• Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
• Relaxation Oscillations in a Class of Delay Differential Equations
• A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia
• Long Period Oscillations in aG₀Model of Hematopoietic Stem Cells
• Cell Modelling of Hematopoiesis
• Sufficient conditions for stability of linear differential equations with distributed delay

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