Study of cohabitation and interconnection effects on normal and leukaemic stem cells dynamics in acute myeloid leukaemia.

摘要: On the basis of recent studies, understanding intimate relationship between normal and leukaemic stem cells is very important in leukaemia treatment. The authors' aim this work to clarify assess effect coexistence interconnection phenomenon on healthy cancerous cell dynamics. To end, they perform analysis two time-delayed models acute myeloid leukaemia. first model based decoupled populations (i.e. there no interaction dynamics) second includes both population's By using positivity systems, build new linear functions that permit derive global stability conditions for each model. Moreover, knowing most common types haematological diseases are characterised by existence oscillations, give a limit cycle (oscillations) particularly interesting situation Poincare-Bendixson theorem. obtained results simulated interpreted be significant would lead an improvement