Relaxation Oscillations in a Class of Delay Differential Equations

DOI10.1137/S0036139901393512zbMath1095.34543OpenAlexW1997133147MaRDI QIDQ3149861

Michael C. Mackey, Andrew C. Fowler

Publication date: 29 September 2002

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139901393512

zbMATH Keywords

delay differential equationsrelaxation oscillationshematopoiesisstem cellschronic myelogenous leukaemia

Mathematics Subject Classification ID

Related Items (19)

Indistinguishable states. II: The imperfect model scenario ⋮ Qualitative Properties in a More General Delayed Hematopoietic Stem Cells Model ⋮ A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate ⋮ Oscillations in cyclical neutropenia: new evidence based on mathematical modeling ⋮ High frequency spikes in long period blood cell oscillations ⋮ Slow–fast dynamics of a time-delayed electro-optic oscillator ⋮ A model of oscillatory blood cell counts in chronic myelogenous leukaemia ⋮ A mathematical model of hematopoiesis. I: Periodic chronic myelogenous leukemia ⋮ Blood Cell Dynamics: Half of a Century of Modelling ⋮ A mathematical model of multistage hematopoietic cell lineages ⋮ Dynamics of a Mathematical Hematopoietic Stem-Cell Population Model ⋮ Optimal control analysis of a leukemia model under imatinib treatment ⋮ Microbial dormancy and boom-and-bust population dynamics under starvation stress ⋮ Asymptotic methods for delay equations ⋮ Local and semiglobal stabilization in a cascade with delay ⋮ A mathematical model of chromosome recombination-induced drug resistance in cancer therapy ⋮ On the stability of hematopoietic model with feedback control ⋮ Delay-induced switched states in a slow–fast system ⋮ Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics

This page was built for publication: Relaxation Oscillations in a Class of Delay Differential Equations