2004/09/01 by Michael C. Mackey, Chunhua Ou, Mackey, Michael C. +5
Biochemistry, Genetics and Molecular Biology · Medicine · #Chronic Myeloid Leukemia Treatments #Eosinophilic Disorders and Syndromes #FOS: Biological sciences #Monoclonal and Polyclonal Antibodies Research #Tissues and Organs (q-bio.TO) #q-bio.TO
paper · pdf · doi:10.48550/arxiv.q-bio/0409002
23 pages
arxiv created 2004/09/01 · openalex publication_date 2004/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop some techniques to prove analytically the existence and stability of long period oscillations of stem cell populations in the case of periodic chronic myelogenous leukemia. Such a periodic oscillation p_∞ can be analytically constructed when the hill coefficient involved in the nonlinear feedback is infinite, and we show it is possible to obtain a contractive returning map (for the semiflow defined by the modeling functional differential equation) in a closed and convex cone containing p_∞ when the hill coefficient is large, and the fixed point of such a contractive map gives the long period oscillation previously observed both numerically and experimentally.