A mathematical model, coupling the dynamics of short-term stem-like cells and mature leukocytes in leukemia with that of the immune system, is investigated. The model is described by a system of nine delay differential equations with nine delays. Three equilibrium points E 0 , E 1 , E 2 are highlighted. The stability and the existence of the Hopf bifurcation for the equilibrium points are investigated. In the analysis of the model, the rate of asymmetric division and the rate of symmetric division are very important.


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    Title :

    A feedback model for leukemia including cell competition and the action of the immune system


    Contributors:

    Conference:

    10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway


    Published in:

    AIP Conference Proceedings ; 1637 , 1 ; 1316-1324


    Publication date :

    2014-12-10


    Size :

    9 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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