DISCRETE-MATURITY STRUCTURED MODEL OF CELL DIFFERENTIATION WITH APPLICATIONS TO ACUTE MYELOGENOUS LEUKEMIA

DOI10.1142/S0218339008002599zbMath1155.92019OpenAlexW2057571306MaRDI QIDQ3608716

Fabien Crauste, Mostafa Adimy, Abderrahim El Abdllaoui

Publication date: 5 March 2009

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218339008002599

zbMATH Keywords

asymptotic stabilitytransport equationsAMLdifferentiation blockinghematopoiesis modelingsystem of equations with distributed delays

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Medical applications (general) (92C50) Stability theory of functional-differential equations (34K20) Cell biology (92C37)

Related Items (16)

DISCRETE MATURITY AND DELAY DIFFERENTIAL-DIFFERENCE MODEL OF HEMATOPOIETIC CELL DYNAMICS WITH APPLICATIONS TO ACUTE MYELOGENOUS LEUKEMIA ⋮ A glycemia-structured population model ⋮ Local Asymptotic Stability Conditions for the Positive Equilibrium of a System Modeling Cell Dynamics in Leukemia ⋮ Stability and bifurcation analysis in hematopoietic stem cell dynamics with multiple delays ⋮ Stability analysis and robustness results for a nonlinear system with distributed delays describing hematopoiesis ⋮ Unknown input functional observability of descriptor systems with neutral and distributed delay effects ⋮ Stability analysis of a simplified yet complete model for chronic myelogenous leukemia ⋮ The ISS framework for time-delay systems: a survey ⋮ Global asymptotic stability for an age-structured model of hematopoietic stem cell dynamics ⋮ Blood Cell Dynamics: Half of a Century of Modelling ⋮ A mathematical model of multistage hematopoietic cell lineages ⋮ Control in dormancy or eradication of cancer stem cells: mathematical modeling and stability issues ⋮ Analysis of a system describing proliferative-quiescent cell dynamics ⋮ Boundedness and Lyapunov function for a nonlinear system of hematopoietic stem cell dynamics ⋮ Stability of the cell dynamics in acute myeloid leukemia ⋮ Analysis of a New Model of Cell Population Dynamics in Acute Myeloid Leukemia

Cites Work

• Global stability of a partial differential equation with distributed delay due to cellular replication
• Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
• A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia
• Long Period Oscillations in aG₀Model of Hematopoietic Stem Cells
• Asymptotic Behavior of a Discrete Maturity Structured System of Hematopoietic Stem Cell Dynamics with Several Delays
• Solving DDEs in Matlab

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