Fig. 7From: Glioma cell fate decisions mediated by Dll1-Jag1-Fringe in Notch1 signaling pathwayBifurcation diagrams for the effect of Fringe protein. a The bifurcation with a as a control parameter at L=1. The value a reflects the effect of Fringe on cis-inhibition and trans-activation between Notch1 and Dll1. The term k c N 2 J 2 is replaced by 1.2×k c N 2 J 2 in Eq. (28) and the term k t D 1 N 2 is replaced by 42×k t D 1 N 2 in Eq. (29). As a gradually increases, the healthy tissue changes from normal to grade I ∼ II of gliomas. When a is increased to a certain value, the state will switch from grade I ∼ II to grade III ∼ IV of gliomas. b The bifurcation diagram with L as a control parameter at a=1.2, which reflects the dynamics of Notch1 signaling pathway after the addition of Lunatic Fringe. When the Fringe is inhibited, the transition from gliomas to a healthy state can be gradually realizedBack to article page