Negative feedback regulation of Wnt signaling by G�¦�-mediated reduction of Dishevelled

Wnt signaling is known to be important for diverse embryonic and post-natal cellular events and be regulated by the proteins Dishevelled and Axin. Although Dishevelled is activated by Wnt and involved in signal transduction, it is not clear how Dishevelled-mediated signaling is turned off. We report that guanine nucleotide binding protein beta 2 (Gnb2; Gβ₂) bound to Axin and Gβ₂ inhibited Wnt mediated reporter activity. The inhibition involved reduction of the level of Dishevelled, and the Gβ₂γ₂ mediated reduction of Dishevelled was countered by increased expression of Axin. Consistent with these effects in HEK293T cells, injection of Gβ₂γ₂ into Xenopus embryos inhibited the formation of secondary axes induced either by XWnt8 or Dishevelled, but not by β-catenin. The DEP domain of Dishevelled is necessary for both interaction with Gβ_2γ2 and subsequent degradation of Dishevelled via the lysosomal pathway. Signaling induced by Gβ_2γ2 is required because a mutant of Gβ₂, Gβ₂ (W332A) with lower signaling activity, had reduced ability to downregulate the level of Dishevelled. Activation of Wnt signaling by either of two methods, increased Frizzled signaling or transient transfection of Wnt, also led to increased degradation of Dishevelled and the induced Dishevelled loss is dependent on Gβ₁ and Gβ₂. Other studies with agents that interfere with PLC action and calcium signaling suggested that loss of Dishevelled is mediated through the following pathway: Wnt/Frizzled→Gβγ→PLC→Ca⁺²/PKC signaling. Together the evidence suggests a novel negative feedback mechanism in which Gβ₂γ₂ inhibits Wnt signaling by degradation of Dishevelled.     

A new method of controlling chemical chaos——Nonlinear artificial neural network (ANN)-occasional perturbation feedback control in the whole chaotic region

A new method of controlling chemical chaos to attain the stabilized unstable periodic orbit (UPO) is proposed. It is an extension of the occasional proportional feedback (OPF) control strategy which spans the limitations of OPF, i.e. the linear region of the control rule, and extends to the whole chaotic region. It also expresses the nonlinear control rule with the back propogation-artificial neural network (BP-ANN) in order to increase the robustness of the control. Its effectiveness is examined through controlling an autocatalytic chaotic reaction model numerically.