ArticleJournal of mathematical biology2020
Oscillations in a white blood cell production model with multiple differentiation stages.
Article in Journal of mathematical biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed, 12 citations in OpenAlex.
- Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation.Journal of mathematical biology · 2022Article
- Multistage hematopoietic stem cell regulation in the mouse: A combined biological and mathematical approach.iScience · 2021Article
- Model-Based Simulation of Maintenance Therapy of Childhood Acute Lymphoblastic Leukemia.Frontiers in physiology · 2020Article
- A structured population model of clonal selection in acute leukemias with multiple maturation stages.Journal of mathematical biology · 2019Article
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Authors and funding
3 authors at 1 institution in 1 country.
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Abstract
In this work we prove occurrence of a super-critical Hopf bifurcation in a model of white blood cell formation structured by three maturation stages. We provide an explicit analytical expression for the bifurcation point depending on model parameters. The Hopf bifurcation is a unique feature of the multi-compartment structure as it does not exist in the corresponding two-compartment model. It appears for a parameter set different from the parameters identified for healthy hematopoiesis and requires changes in at least two cell properties. Model analysis allows identifying a range of biologically plausible parameter sets that can explain persistent oscillations of white blood cell counts observed in some hematopoietic diseases. Relating the identified parameter sets to recent experimental and clinical findings provides insights into the pathological mechanisms leading to oscillating blood cell counts.
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