The cannonical Wnt/beta-catenin signaling pathway is important for essential cellular functions such as development, homeostasis, and is implicated in many diseases [MacLean, Rosen, Byrne, Harrington]. The Wnt shuttle model includes an abstraction of the signal transduction pathway [Gross, Harrington, Rosen, Sturmfels].
i1 : wnt() o1 = X_1-->X_2 X_2-->X_1 X_2-->X_3 X_2+X_4-->Y_4 Y_4-->X_2+X_4 Y_4-->X_2+X_5 X_5+X_8-->Y_6 Y_6-->X_5+X_8 Y_6-->X_4+X_8 X_4+Y_0-->Y_8 Y_8-->X_4+Y_0 Y_8-->X_4 0-->Y_0 Y_0-->0 Y_0-->Y_1 X_3+X_6-->Y_5 Y_5-->X_3+X_6 Y_5-->X_3+X_7 X_7+X_9-->Y_7 Y_7-->X_7+X_9 Y_7-->X_6+X_9 X_6+Y_1-->Y_9 Y_9-->X_6+Y_1 Y_9-->X_6 Y_1-->0 Y_1-->Y_0 Y_1+Y_2-->Y_3 Y_3-->Y_1+Y_2 X_3-->X_2 X_5-->X_7 X_7-->X_5 o1 : ReactionNetwork |
In the Wnt shuttle model, the symbols used in the chemical reactions have the following meaning:
X_1 - X_3: dishevelled species; X_4 - X_7: destruction complex (APC/Axin/GSK3 beta); X_8 - X_9: phosphatase; Y_0 - Y_1: beta-catenin; Y_2: transcription factor; Y_3 - Y_9: intermediate complex; 0: empty set;
For more details see Algebraic Systems Biology: A Case Study for the Wnt Pathway: Gross, Harrington, Rosen, Sturmfels.
To rename species, use substitute(ReactionNetwork,List).
The object wnt is a method function.