Understanding cyclical thrombocytopenia: a mathematical modeling approach

DOI10.1016/j.jtbi.2007.11.029zbMath1398.92107OpenAlexW2030126859WikidataQ33378250 ScholiaQ33378250MaRDI QIDQ1788652

Michael C. Mackey, Raluca Apostu

Publication date: 8 October 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://escholarship.mcgill.ca/concern/theses/n296x337g

zbMATH Keywords

delay differential equationsmathematical modelspectral data analysiscyclical thrombocytopeniaplatelet oscillations

Mathematics Subject Classification ID

Medical applications (general) (92C50)

Related Items (16)

Normal and pathological dynamics of platelets in humans ⋮ New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey-Glass hematopoietic model ⋮ Blood Cell Dynamics: Half of a Century of Modelling ⋮ A mathematical model of multistage hematopoietic cell lineages ⋮ Origins of oscillation patterns in cyclical thrombocytopenia ⋮ Response of an oscillatory differential delay equation to a single stimulus ⋮ Neutrophil dynamics in response to chemotherapy and G-CSF ⋮ Modeling erythroblastic islands: using a hybrid model to assess the function of central macrophage ⋮ Understanding cyclical thrombocytopenia: a mathematical modeling approach ⋮ Dynamic hematological disease: a review ⋮ Multistability in an age-structured model of hematopoiesis: cyclical neutropenia ⋮ Understanding, treating and avoiding hematological disease: better medicine through mathematics? ⋮ Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics ⋮ A Model for Megakaryopoiesis with State-Dependent Delay ⋮ Hybrid Models in Erythropoiesis and in Megakaryopoiesis ⋮ Optimal linear stability condition for scalar differential equations with distributed delay

Uses Software

• XPPAUT

Cites Work

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