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Normal and pathological dynamics of platelets in humans
Gabriel P Langlois1, Morgan Craig2, Antony R Humphries3
1Division of Applied Mathematics, Brown University, 182 George St., Providence, RI, 02912, USA. Gabriel_provencher_langlois@brown.edu.
Journal of Mathematical Biology
|April 10, 2017
Summary
This study models human platelet production, revealing a Hopf bifurcation in platelet dynamics. Mathematical modeling suggests thrombopoietin receptor interference causes cyclic thrombocytopenia.
Area of Science:
- Hematology
- Mathematical Biology
- Systems Biology
Background:
- Platelet production (thrombopoiesis) is a complex process involving megakaryocytes and thrombopoietin.
- Cyclic thrombocytopenia is a pathological condition characterized by fluctuating platelet counts.
Purpose of the Study:
- To develop a mathematical model of platelet, megakaryocyte, and thrombopoietin dynamics.
- To investigate the mechanisms underlying normal and pathological platelet production, focusing on cyclic thrombocytopenia.
Main Methods:
- Development of a mathematical model incorporating platelet, megakaryocyte, and thrombopoietin interactions.
- Analysis of model dynamics, including stationary solutions and Hopf bifurcations.
- Parameter estimation using laboratory and clinical data.
- Model fitting to experimental data by adjusting specific physiological parameters.
Main Results:
- The model identified a single stationary solution capable of Hopf bifurcation, explaining dynamic platelet counts.
- Parameter analysis implicated specific factors in the genesis of cyclic thrombocytopenia.
- Model fits to platelet and thrombopoietin data were achieved by altering four physiologically relevant parameters.
- Results suggest thrombopoietin receptor interference is the primary cause of cyclic thrombocytopenia, with secondary roles for immune destruction and megakaryocyte issues.
Conclusions:
- The study provides insights into the origins of cyclic thrombocytopenia through mathematical modeling.
- Findings highlight the critical role of the thrombopoietin receptor in platelet production regulation.
- The research extends the application of mathematical modeling to the study of thrombopoiesis and related disorders.