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<!DOCTYPE html> <html lang="en"> <head> <title>wnt -- shuttle model for Wnt signaling pathway</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="create chemical reaction networks and corresponding steady-state and conservation equations" href="index.html">ReactionNetworks</a> :: <a title="shuttle model for Wnt signaling pathway" href="_wnt.html">wnt</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> next | <a href="_two__Site__Modification__G.html">previous</a> | forward | <a href="_two__Site__Modification__G.html">backward</a> | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>wnt -- shuttle model for Wnt signaling pathway</h1> <div> <h2>Description</h2> <div> <p>The canonical 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].</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">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</code></pre> </td> </tr> </table> <div> <p>In the Wnt shuttle model, the symbols used in the chemical reactions have the following meaning:</p> <p>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;</p> <p>For more details see Algebraic Systems Biology: A Case Study for the Wnt Pathway: Gross, Harrington, Rosen, Sturmfels.</p> <p>To rename species, use <a title="substitute species names in reaction network" href="_substitute_lp__Reaction__Network_cm__List_rp.html">substitute(ReactionNetwork,List)</a>.</p> <p></p> </div> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">wnt</span>:</h2> <ul> <li><kbd>wnt()</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="shuttle model for Wnt signaling pathway" href="_wnt.html">wnt</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function.html">method function</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">ReactionNetworks/DocReactionNetworks.m2:520:0</span>.</p> </div> </div> </div> </body> </html>