Open AccessStudy of cohabitation and interconnection effects on normal and leukaemic stem cells dynamics in acute myeloid leukaemia
Author(s) -
Zenati Abdelhafid,
Chakir Messaoud,
Tadjine Mohamed
Publication year - 2018
Publication title -
iet systems biology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.367
H-Index - 50
eISSN - 1751-8857
pISSN - 1751-8849
DOI - 10.1049/iet-syb.2018.5026
Subject(s) - stem cell , myeloid leukaemia , interconnection , dynamics (music) , limit cycle , population , haematopoiesis , cell , limit (mathematics) , biology , cancer research , computational biology , medicine , microbiology and biotechnology , mathematics , computer science , physics , genetics , mathematical analysis , telecommunications , environmental health , acoustics
On the basis of recent studies, understanding the intimate relationship between normal and leukaemic stem cells is very important in leukaemia treatment. The authors’ aim in this work is to clarify and assess the effect of coexistence and interconnection phenomenon on the healthy and cancerous stem cell dynamics. To this end, they perform the analysis of two time‐delayed stem cell models in acute myeloid leukaemia. The first model is based on decoupled healthy and cancerous stem cell populations (i.e. there is no interaction between cell dynamics) and the second model includes interconnection between both population's dynamics. By using the positivity of both systems, they build new linear functions that permit to derive global stability conditions for each model. Moreover, knowing that most common types of haematological diseases are characterised by the existence of oscillations, they give conditions for the existence of a limit cycle (oscillations) in a particularly interesting healthy situation based on Poincare–Bendixson theorem. The obtained results are simulated and interpreted to be significant in understanding the effect of interconnection and would lead to an improvement in leukaemia treatment.