(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 4.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 2002057, 57646]*) (*NotebookOutlinePosition[ 2002805, 57672]*) (* CellTagsIndexPosition[ 2002761, 57668]*) (*WindowFrame->Normal*) Notebook[{ Cell["MAP-Kinase on a Scaffold", "Title"], Cell["\<\ \[Copyright]2002 Jet Propulsion Laboratory, California Institute of \ Technology\ \>", "Text"], Cell[TextData[{ "References: \n", StyleBox["\n(1) Levchenko, A., Bruck, J., Sternberg, P.W. (2000). Scaffold \ proteins may biphasically affect the levels of mitogen-activated protein \ kinase signaling and reduce its threshold properties. ", FontSize->10], StyleBox["Proc. Natl. Acad. Sci. USA", FontSize->10, FontSlant->"Italic"], StyleBox["97(11):5818\[Dash]5823.\n\n(2) Shapiro, B, Leevchenko A., \ Mjolsness E. (2001) Automatic Equation Generation for Signal Transduction \ with Applications to MAP-Kinase, in Foundations of Systems Biology, Edited \ by H. Kitano, MIT Press.", FontSize->10] }], "Text"], Cell[CellGroupData[{ Cell["Load Cellerator", "Section"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(<< Library/Cellerator/myPadRight.m;\)\), "\[IndentingNewLine]", \(\(<< Library/Cellerator/cellerator.m;\)\)}], "Input"], Cell[BoxData[ \("myPadRight Version 0.3 for Cellerator Loaded."\)], "Print"], Cell[BoxData[ \("Cellerator\[Trademark] Version 1.0 update 2.1203, loaded at Dec. 4, \ 2002, 11:53:47\n\[Copyright]2001,2002 Jet Propulsion Laboratory, California \ Institute of Technology. U.S. Government Sponsorship Acknowledged. All \ rights reserved. \nPatent Pending (USPTO App 09993291).\nThe contents of this \ file may not be copied, distributed or transferred without written \ permission."\)], "Print"], Cell[BoxData[ InterpretationBox[\("Cellerator\[Trademark] 1.0 update 2.1203 load (using \ Mathematica Version 4.2 for Mac OS X (June 4, 2002)) complete at "\ \[InvisibleSpace]"December 4, 2002 11:53:50"\), SequenceForm[ "Cellerator\[Trademark] 1.0 update 2.1203 load (using Mathematica \ Version 4.2 for Mac OS X (June 4, 2002)) complete at ", "December 4, 2002 11:53:50"], Editable->False]], "Print"] }, Open ]], Cell[BoxData[ \(complexLeft = "\<\>"; complexRight = "\<\>"; dash = "\<$\>";\)], "Input"] }, Closed]], Cell[CellGroupData[{ Cell["Define the reaction network", "Section 1"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"c", "=", RowBox[{"MAPKCascade", "[", "\[IndentingNewLine]", RowBox[{\(signal \[Rule] \ RAFK\), ",", "\[IndentingNewLine]", \(phosphatase \[Rule] \ {MAPKP, MEKP, RAFP}\), ",", 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0] \[Rule] \ .2, \ K[3, 0] \[Rule] \ .3, \ K[1, 0] \[Rule] \ 0.4, \ RAFP \[Rule] \ .3, \ MEKP \[Rule] \ 0.2, \ MAPKP \[Rule] \ 0.3, \ S[\(-1\), \(-1\), \(-1\)] \[Rule] \ .1, \ RAFK \[Rule] \ .1}\)], "Input"], Cell[BoxData[ \({K[2, 0] \[Rule] 0.2`, K[3, 0] \[Rule] 0.3`, K[1, 0] \[Rule] 0.4`, RAFP \[Rule] 0.3`, MEKP \[Rule] 0.2`, MAPKP \[Rule] 0.3`, S[\(-1\), \(-1\), \(-1\)] \[Rule] 0.1`, RAFK \[Rule] 0.1`}\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["examine the ODES", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(sys = interpret[c]\)], "Input"], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["MAPKP", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a8\)\ MAPKP[t]\ \(K[1, 1]\)[t] - a10\ MAPKP[t]\ \(K[1, 2]\)[t] + d8\ \(K$MAPKP[1, 1]\)[t] + k8\ \(K$MAPKP[1, 1]\)[t] + d10\ \(K$MAPKP[1, 2]\)[t] + k10\ \(K$MAPKP[1, 2]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["MEKP", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a4\)\ MEKP[t]\ \(K[2, 1]\)[t] - a6\ MEKP[t]\ \(K[2, 2]\)[t] + d4\ \(K$MEKP[2, 1]\)[t] + k4\ \(K$MEKP[2, 1]\)[t] + d6\ \(K$MEKP[2, 2]\)[t] + k6\ \(K$MEKP[2, 2]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["RAFK", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a1\)\ RAFK[t]\ \(K[3, 0]\)[t] + d1\ \(K$RAFK[3, 0]\)[t] + k1\ \(K$RAFK[3, 0]\)[t] - k1a\ RAFK[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - k1a\ RAFK[t]\ \(S[\(-1\), 0, 0]\)[t] - k1a\ RAFK[t]\ \(S[\(-1\), 1, 0]\)[t] - k1a\ RAFK[t]\ \(S[\(-1\), 2, 0]\)[t] - k1a\ RAFK[t]\ \(S[0, \(-1\), 0]\)[t] - k1a\ RAFK[t]\ \(S[0, 0, 0]\)[t] - k1a\ RAFK[t]\ \(S[0, 1, 0]\)[t] - k1a\ RAFK[t]\ \(S[0, 2, 0]\)[t] - k1a\ RAFK[t]\ \(S[1, \(-1\), 0]\)[t] - k1a\ RAFK[t]\ \(S[1, 0, 0]\)[t] - k1a\ RAFK[t]\ \(S[1, 1, 0]\)[t] - k1a\ RAFK[t]\ \(S[1, 2, 0]\)[t] - k1a\ RAFK[t]\ \(S[2, \(-1\), 0]\)[t] - k1a\ RAFK[t]\ \(S[2, 0, 0]\)[t] - k1a\ RAFK[t]\ \(S[2, 1, 0]\)[t] - k1a\ RAFK[t]\ \(S[2, 2, 0]\)[t] + d1a\ \(S$RAFK[\(-1\), \(-1\), 0]\)[t] + k1\ \(S$RAFK[\(-1\), \(-1\), 0]\)[t] + d1a\ \(S$RAFK[\(-1\), 0, 0]\)[t] + k1\ \(S$RAFK[\(-1\), 0, 0]\)[t] + d1a\ \(S$RAFK[\(-1\), 1, 0]\)[t] + k1\ \(S$RAFK[\(-1\), 1, 0]\)[t] + d1a\ \(S$RAFK[\(-1\), 2, 0]\)[t] + k1\ \(S$RAFK[\(-1\), 2, 0]\)[t] + d1a\ \(S$RAFK[0, \(-1\), 0]\)[t] + k1\ \(S$RAFK[0, \(-1\), 0]\)[t] + d1a\ \(S$RAFK[0, 0, 0]\)[t] + k1\ \(S$RAFK[0, 0, 0]\)[t] + d1a\ \(S$RAFK[0, 1, 0]\)[t] + k1\ \(S$RAFK[0, 1, 0]\)[t] + d1a\ \(S$RAFK[0, 2, 0]\)[t] + k1\ \(S$RAFK[0, 2, 0]\)[t] + d1a\ \(S$RAFK[1, \(-1\), 0]\)[t] + k1\ \(S$RAFK[1, \(-1\), 0]\)[t] + d1a\ \(S$RAFK[1, 0, 0]\)[t] + k1\ \(S$RAFK[1, 0, 0]\)[t] + d1a\ \(S$RAFK[1, 1, 0]\)[t] + k1\ \(S$RAFK[1, 1, 0]\)[t] + d1a\ \(S$RAFK[1, 2, 0]\)[t] + k1\ \(S$RAFK[1, 2, 0]\)[t] + d1a\ \(S$RAFK[2, \(-1\), 0]\)[t] + k1\ \(S$RAFK[2, \(-1\), 0]\)[t] + d1a\ \(S$RAFK[2, 0, 0]\)[t] + k1\ \(S$RAFK[2, 0, 0]\)[t] + d1a\ \(S$RAFK[2, 1, 0]\)[t] + k1\ \(S$RAFK[2, 1, 0]\)[t] + d1a\ \(S$RAFK[2, 2, 0]\)[t] + k1\ \(S$RAFK[2, 2, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["RAFP", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a2\)\ RAFP[t]\ \(K[3, 1]\)[t] + d2\ \(K$RAFP[3, 1]\)[t] + k2\ \(K$RAFP[3, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K[1, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a7\)\ \(K[1, 0]\)[t]\ \(K[2, 2]\)[t] + d7\ \(K$K[1, 0, 2, 2]\)[t] + k8\ \(K$MAPKP[1, 1]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 0, 0]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 0, 1]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 1, 0]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 1, 1]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 2, 0]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 2, 1]\)[t] + koff\ \(S[0, \(-1\), \(-1\)]\)[t] + koff\ \(S[0, \(-1\), 0]\)[t] + koff\ \(S[0, \(-1\), 1]\)[t] + koff\ \(S[0, 0, \(-1\)]\)[t] + koff\ \(S[0, 0, 0]\)[t] + koff\ \(S[0, 0, 1]\)[t] + koff\ \(S[0, 1, \(-1\)]\)[t] + koff\ \(S[0, 1, 0]\)[t] + koff\ \(S[0, 1, 1]\)[t] + koff\ \(S[0, 2, \(-1\)]\)[t] + koff\ \(S[0, 2, 0]\)[t] + koff\ \(S[0, 2, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K[1, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a8\)\ MAPKP[t]\ \(K[1, 1]\)[t] - a9\ \(K[1, 1]\)[t]\ \(K[2, 2]\)[t] + k7\ \(K$K[1, 0, 2, 2]\)[t] + d9\ \(K$K[1, 1, 2, 2]\)[t] + d8\ \(K$MAPKP[1, 1]\)[t] + k10\ \(K$MAPKP[1, 2]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 0, 0]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 0, 1]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 1, 0]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 1, 1]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 2, 0]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 2, 1]\)[t] + kpoff\ \(S[1, \(-1\), \(-1\)]\)[t] + kpoff\ \(S[1, \(-1\), 0]\)[t] + kpoff\ \(S[1, \(-1\), 1]\)[t] + kpoff\ \(S[1, 0, \(-1\)]\)[t] + kpoff\ \(S[1, 0, 0]\)[t] + kpoff\ \(S[1, 0, 1]\)[t] + kpoff\ \(S[1, 1, \(-1\)]\)[t] + kpoff\ \(S[1, 1, 0]\)[t] + kpoff\ \(S[1, 1, 1]\)[t] + kpoff\ \(S[1, 2, \(-1\)]\)[t] + kpoff\ \(S[1, 2, 0]\)[t] + kpoff\ \(S[1, 2, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K[1, 2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a10\)\ MAPKP[t]\ \(K[1, 2]\)[t] + k9\ \(K$K[1, 1, 2, 2]\)[t] + d10\ \(K$MAPKP[1, 2]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 0, 0]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 0, 1]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 1, 0]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 1, 1]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 2, 0]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 2, 1]\)[t] + kpoff\ \(S[2, \(-1\), \(-1\)]\)[t] + kpoff\ \(S[2, \(-1\), 0]\)[t] + kpoff\ \(S[2, \(-1\), 1]\)[t] + kpoff\ \(S[2, 0, \(-1\)]\)[t] + kpoff\ \(S[2, 0, 0]\)[t] + kpoff\ \(S[2, 0, 1]\)[t] + kpoff\ \(S[2, 1, \(-1\)]\)[t] + kpoff\ \(S[2, 1, 0]\)[t] + kpoff\ \(S[2, 1, 1]\)[t] + kpoff\ \(S[2, 2, \(-1\)]\)[t] + kpoff\ \(S[2, 2, 0]\)[t] + kpoff\ \(S[2, 2, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K[2, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a3\)\ \(K[2, 0]\)[t]\ \(K[3, 1]\)[t] + d3\ \(K$K[2, 0, 3, 1]\)[t] + k4\ \(K$MEKP[2, 1]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] + koff\ \(S[\(-1\), 0, \(-1\)]\)[t] + koff\ \(S[\(-1\), 0, 0]\)[t] + koff\ \(S[\(-1\), 0, 1]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[0, \(-1\), 0]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[0, \(-1\), 1]\)[t] + koff\ \(S[0, 0, \(-1\)]\)[t] + koff\ \(S[0, 0, 0]\)[t] + koff\ \(S[0, 0, 1]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[1, \(-1\), 0]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[1, \(-1\), 1]\)[t] + koff\ \(S[1, 0, \(-1\)]\)[t] + koff\ \(S[1, 0, 0]\)[t] + koff\ \(S[1, 0, 1]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[2, \(-1\), 0]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[2, \(-1\), 1]\)[t] + koff\ \(S[2, 0, \(-1\)]\)[t] + koff\ \(S[2, 0, 0]\)[t] + koff\ \(S[2, 0, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K[2, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a4\)\ MEKP[t]\ \(K[2, 1]\)[t] - a5\ \(K[2, 1]\)[t]\ \(K[3, 1]\)[t] + k3\ \(K$K[2, 0, 3, 1]\)[t] + d5\ \(K$K[2, 1, 3, 1]\)[t] + d4\ \(K$MEKP[2, 1]\)[t] + k6\ \(K$MEKP[2, 2]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] + kpoff\ \(S[\(-1\), 1, \(-1\)]\)[t] + kpoff\ \(S[\(-1\), 1, 0]\)[t] + kpoff\ \(S[\(-1\), 1, 1]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[0, \(-1\), 0]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[0, \(-1\), 1]\)[t] + kpoff\ \(S[0, 1, \(-1\)]\)[t] + kpoff\ \(S[0, 1, 0]\)[t] + kpoff\ \(S[0, 1, 1]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[1, \(-1\), 0]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[1, \(-1\), 1]\)[t] + kpoff\ \(S[1, 1, \(-1\)]\)[t] + kpoff\ \(S[1, 1, 0]\)[t] + kpoff\ \(S[1, 1, 1]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[2, \(-1\), 0]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[2, \(-1\), 1]\)[t] + kpoff\ \(S[2, 1, \(-1\)]\)[t] + kpoff\ \(S[2, 1, 0]\)[t] + kpoff\ \(S[2, 1, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K[2, 2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a6\)\ MEKP[t]\ \(K[2, 2]\)[t] - a7\ \(K[1, 0]\)[t]\ \(K[2, 2]\)[t] - a9\ \(K[1, 1]\)[t]\ \(K[2, 2]\)[t] + d7\ \(K$K[1, 0, 2, 2]\)[t] + k7\ \(K$K[1, 0, 2, 2]\)[t] + d9\ \(K$K[1, 1, 2, 2]\)[t] + k9\ \(K$K[1, 1, 2, 2]\)[t] + k5\ \(K$K[2, 1, 3, 1]\)[t] + d6\ \(K$MEKP[2, 2]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] + kpoff\ \(S[\(-1\), 2, \(-1\)]\)[t] + kpoff\ \(S[\(-1\), 2, 0]\)[t] + kpoff\ \(S[\(-1\), 2, 1]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[0, \(-1\), 0]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[0, \(-1\), 1]\)[t] + kpoff\ \(S[0, 2, \(-1\)]\)[t] + kpoff\ \(S[0, 2, 0]\)[t] + kpoff\ \(S[0, 2, 1]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[1, \(-1\), 0]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[1, \(-1\), 1]\)[t] + kpoff\ \(S[1, 2, \(-1\)]\)[t] + kpoff\ \(S[1, 2, 0]\)[t] + kpoff\ \(S[1, 2, 1]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[2, \(-1\), 0]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[2, \(-1\), 1]\)[t] + kpoff\ \(S[2, 2, \(-1\)]\)[t] + kpoff\ \(S[2, 2, 0]\)[t] + kpoff\ \(S[2, 2, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K[3, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a1\)\ RAFK[t]\ \(K[3, 0]\)[t] + d1\ \(K$RAFK[3, 0]\)[t] + k2\ \(K$RAFP[3, 1]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] + koff\ \(S[\(-1\), \(-1\), 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] + koff\ \(S[\(-1\), 0, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] + koff\ \(S[\(-1\), 1, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] + koff\ \(S[\(-1\), 2, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] + koff\ \(S[0, \(-1\), 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[0, 0, \(-1\)]\)[t] + koff\ \(S[0, 0, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[0, 1, \(-1\)]\)[t] + koff\ \(S[0, 1, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[0, 2, \(-1\)]\)[t] + koff\ \(S[0, 2, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] + koff\ \(S[1, \(-1\), 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[1, 0, \(-1\)]\)[t] + koff\ \(S[1, 0, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[1, 1, \(-1\)]\)[t] + koff\ \(S[1, 1, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[1, 2, \(-1\)]\)[t] + koff\ \(S[1, 2, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] + koff\ \(S[2, \(-1\), 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[2, 0, \(-1\)]\)[t] + koff\ \(S[2, 0, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[2, 1, \(-1\)]\)[t] + koff\ \(S[2, 1, 0]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[2, 2, \(-1\)]\)[t] + koff\ \(S[2, 2, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K[3, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-a2\)\ RAFP[t]\ \(K[3, 1]\)[t] - a3\ \(K[2, 0]\)[t]\ \(K[3, 1]\)[t] - a5\ \(K[2, 1]\)[t]\ \(K[3, 1]\)[t] + d3\ \(K$K[2, 0, 3, 1]\)[t] + k3\ \(K$K[2, 0, 3, 1]\)[t] + d5\ \(K$K[2, 1, 3, 1]\)[t] + k5\ \(K$K[2, 1, 3, 1]\)[t] + k1\ \(K$RAFK[3, 0]\)[t] + d2\ \(K$RAFP[3, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] + kpoff\ \(S[\(-1\), \(-1\), 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] + kpoff\ \(S[\(-1\), 0, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] + kpoff\ \(S[\(-1\), 1, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] + kpoff\ \(S[\(-1\), 2, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] + kpoff\ \(S[0, \(-1\), 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[0, 0, \(-1\)]\)[t] + kpoff\ \(S[0, 0, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[0, 1, \(-1\)]\)[t] + kpoff\ \(S[0, 1, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[0, 2, \(-1\)]\)[t] + kpoff\ \(S[0, 2, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] + kpoff\ \(S[1, \(-1\), 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[1, 0, \(-1\)]\)[t] + kpoff\ \(S[1, 0, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[1, 1, \(-1\)]\)[t] + kpoff\ \(S[1, 1, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[1, 2, \(-1\)]\)[t] + kpoff\ \(S[1, 2, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] + kpoff\ \(S[2, \(-1\), 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[2, 0, \(-1\)]\)[t] + kpoff\ \(S[2, 0, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[2, 1, \(-1\)]\)[t] + kpoff\ \(S[2, 1, 1]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[2, 2, \(-1\)]\)[t] + kpoff\ \(S[2, 2, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K$K[1, 0, 2, 2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(a7\ \(K[1, 0]\)[t]\ \(K[2, 2]\)[t] - d7\ \(K$K[1, 0, 2, 2]\)[t] - k7\ \(K$K[1, 0, 2, 2]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K$K[1, 1, 2, 2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(a9\ \(K[1, 1]\)[t]\ \(K[2, 2]\)[t] - d9\ \(K$K[1, 1, 2, 2]\)[t] - k9\ \(K$K[1, 1, 2, 2]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K$K[2, 0, 3, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(a3\ \(K[2, 0]\)[t]\ \(K[3, 1]\)[t] - d3\ \(K$K[2, 0, 3, 1]\)[t] - k3\ \(K$K[2, 0, 3, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K$K[2, 1, 3, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(a5\ \(K[2, 1]\)[t]\ \(K[3, 1]\)[t] - d5\ \(K$K[2, 1, 3, 1]\)[t] - k5\ \(K$K[2, 1, 3, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K$MAPKP[1, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(a8\ MAPKP[t]\ \(K[1, 1]\)[t] - d8\ \(K$MAPKP[1, 1]\)[t] - k8\ \(K$MAPKP[1, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K$MAPKP[1, 2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(a10\ MAPKP[t]\ \(K[1, 2]\)[t] - d10\ \(K$MAPKP[1, 2]\)[t] - k10\ \(K$MAPKP[1, 2]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K$MEKP[2, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(a4\ MEKP[t]\ \(K[2, 1]\)[t] - d4\ \(K$MEKP[2, 1]\)[t] - k4\ \(K$MEKP[2, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K$MEKP[2, 2]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(a6\ MEKP[t]\ \(K[2, 2]\)[t] - d6\ \(K$MEKP[2, 2]\)[t] - k6\ \(K$MEKP[2, 2]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K$RAFK[3, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(a1\ RAFK[t]\ \(K[3, 0]\)[t] - d1\ \(K$RAFK[3, 0]\)[t] - k1\ \(K$RAFK[3, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(K$RAFP[3, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(a2\ RAFP[t]\ \(K[3, 1]\)[t] - d2\ \(K$RAFP[3, 1]\)[t] - k2\ \(K$RAFP[3, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), \(-1\), \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-kon\)\ \(K[1, 0]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[ t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[ t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] + koff\ \(S[\(-1\), \(-1\), 0]\)[t] + kpoff\ \(S[\(-1\), \(-1\), 1]\)[t] + koff\ \(S[\(-1\), 0, \(-1\)]\)[t] + kpoff\ \(S[\(-1\), 1, \(-1\)]\)[t] + kpoff\ \(S[\(-1\), 2, \(-1\)]\)[t] + koff\ \(S[0, \(-1\), \(-1\)]\)[t] + kpoff\ \(S[1, \(-1\), \(-1\)]\)[t] + kpoff\ \(S[2, \(-1\), \(-1\)]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), \(-1\), 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - koff\ \(S[\(-1\), \(-1\), 0]\)[t] - k1a\ RAFK[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] + koff\ \(S[\(-1\), 0, 0]\)[t] + kpoff\ \(S[\(-1\), 1, 0]\)[t] + kpoff\ \(S[\(-1\), 2, 0]\)[t] + koff\ \(S[0, \(-1\), 0]\)[t] + kpoff\ \(S[1, \(-1\), 0]\)[t] + kpoff\ \(S[2, \(-1\), 0]\)[t] + d1a\ \(S$RAFK[\(-1\), \(-1\), 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), \(-1\), 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[ t] - kpoff\ \(S[\(-1\), \(-1\), 1]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] + koff\ \(S[\(-1\), 0, 1]\)[t] + kpoff\ \(S[\(-1\), 1, 1]\)[t] + kpoff\ \(S[\(-1\), 2, 1]\)[t] + koff\ \(S[0, \(-1\), 1]\)[t] + kpoff\ \(S[1, \(-1\), 1]\)[t] + kpoff\ \(S[2, \(-1\), 1]\)[t] + k1\ \(S$RAFK[\(-1\), \(-1\), 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), 0, \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[2, 0]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - koff\ \(S[\(-1\), 0, \(-1\)]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] + koff\ \(S[\(-1\), 0, 0]\)[t] + kpoff\ \(S[\(-1\), 0, 1]\)[t] + koff\ \(S[0, 0, \(-1\)]\)[t] + kpoff\ \(S[1, 0, \(-1\)]\)[t] + kpoff\ \(S[2, 0, \(-1\)]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), 0, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[2, 0]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] - 2\ koff\ \(S[\(-1\), 0, 0]\)[t] - k1a\ RAFK[t]\ \(S[\(-1\), 0, 0]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 0, 0]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 0, 0]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 0, 0]\)[t] + koff\ \(S[0, 0, 0]\)[t] + kpoff\ \(S[1, 0, 0]\)[t] + kpoff\ \(S[2, 0, 0]\)[t] + d1a\ \(S$RAFK[\(-1\), 0, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), 0, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[2, 0]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] - k3\ \(S[\(-1\), 0, 1]\)[t] - koff\ \(S[\(-1\), 0, 1]\)[t] - kpoff\ \(S[\(-1\), 0, 1]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 0, 1]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 0, 1]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 0, 1]\)[t] + koff\ \(S[0, 0, 1]\)[t] + kpoff\ \(S[1, 0, 1]\)[t] + kpoff\ \(S[2, 0, 1]\)[t] + k1\ \(S$RAFK[\(-1\), 0, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), 1, \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[2, 1]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[ t] - kpoff\ \(S[\(-1\), 1, \(-1\)]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] + koff\ \(S[\(-1\), 1, 0]\)[t] + kpoff\ \(S[\(-1\), 1, 1]\)[t] + koff\ \(S[0, 1, \(-1\)]\)[t] + kpoff\ \(S[1, 1, \(-1\)]\)[t] + kpoff\ \(S[2, 1, \(-1\)]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), 1, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[2, 1]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] - koff\ \(S[\(-1\), 1, 0]\)[t] - kpoff\ \(S[\(-1\), 1, 0]\)[t] - k1a\ RAFK[t]\ \(S[\(-1\), 1, 0]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 1, 0]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 1, 0]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 1, 0]\)[t] + koff\ \(S[0, 1, 0]\)[t] + kpoff\ \(S[1, 1, 0]\)[t] + kpoff\ \(S[2, 1, 0]\)[t] + d1a\ \(S$RAFK[\(-1\), 1, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), 1, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[2, 1]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] + k3\ \(S[\(-1\), 0, 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] - k5a\ \(S[\(-1\), 1, 1]\)[t] - 2\ kpoff\ \(S[\(-1\), 1, 1]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 1, 1]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 1, 1]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 1, 1]\)[t] + koff\ \(S[0, 1, 1]\)[t] + kpoff\ \(S[1, 1, 1]\)[t] + kpoff\ \(S[2, 1, 1]\)[t] + k1\ \(S$RAFK[\(-1\), 1, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), 2, \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[2, 2]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[ t] - kpoff\ \(S[\(-1\), 2, \(-1\)]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] + koff\ \(S[\(-1\), 2, 0]\)[t] + kpoff\ \(S[\(-1\), 2, 1]\)[t] + koff\ \(S[0, 2, \(-1\)]\)[t] + kpoff\ \(S[1, 2, \(-1\)]\)[t] + kpoff\ \(S[2, 2, \(-1\)]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), 2, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[2, 2]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] - koff\ \(S[\(-1\), 2, 0]\)[t] - kpoff\ \(S[\(-1\), 2, 0]\)[t] - k1a\ RAFK[t]\ \(S[\(-1\), 2, 0]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 2, 0]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 2, 0]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 2, 0]\)[t] + koff\ \(S[0, 2, 0]\)[t] + kpoff\ \(S[1, 2, 0]\)[t] + kpoff\ \(S[2, 2, 0]\)[t] + d1a\ \(S$RAFK[\(-1\), 2, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[\(-1\), 2, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[2, 2]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] + k5a\ \(S[\(-1\), 1, 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] - 2\ kpoff\ \(S[\(-1\), 2, 1]\)[t] - kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 2, 1]\)[t] - kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 2, 1]\)[t] - kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 2, 1]\)[t] + koff\ \(S[0, 2, 1]\)[t] + kpoff\ \(S[1, 2, 1]\)[t] + kpoff\ \(S[2, 2, 1]\)[t] + k1\ \(S$RAFK[\(-1\), 2, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, \(-1\), \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[t] - koff\ \(S[0, \(-1\), \(-1\)]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] + koff\ \(S[0, \(-1\), 0]\)[t] + kpoff\ \(S[0, \(-1\), 1]\)[t] + koff\ \(S[0, 0, \(-1\)]\)[t] + kpoff\ \(S[0, 1, \(-1\)]\)[t] + kpoff\ \(S[0, 2, \(-1\)]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, \(-1\), 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - 2\ koff\ \(S[0, \(-1\), 0]\)[t] - k1a\ RAFK[t]\ \(S[0, \(-1\), 0]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[0, \(-1\), 0]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[0, \(-1\), 0]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[0, \(-1\), 0]\)[t] + koff\ \(S[0, 0, 0]\)[t] + kpoff\ \(S[0, 1, 0]\)[t] + kpoff\ \(S[0, 2, 0]\)[t] + d1a\ \(S$RAFK[0, \(-1\), 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, \(-1\), 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - koff\ \(S[0, \(-1\), 1]\)[t] - kpoff\ \(S[0, \(-1\), 1]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[0, \(-1\), 1]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[0, \(-1\), 1]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[0, \(-1\), 1]\)[t] + koff\ \(S[0, 0, 1]\)[t] + kpoff\ \(S[0, 1, 1]\)[t] + kpoff\ \(S[0, 2, 1]\)[t] + k1\ \(S$RAFK[0, \(-1\), 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, 0, \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] + kon\ \(K[2, 0]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - 2\ koff\ \(S[0, 0, \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[0, 0, \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[0, 0, \(-1\)]\)[t] + koff\ \(S[0, 0, 0]\)[t] + kpoff\ \(S[0, 0, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, 0, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 0, 0]\)[t] + kon\ \(K[2, 0]\)[t]\ \(S[0, \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[0, 0, \(-1\)]\)[t] - 3\ koff\ \(S[0, 0, 0]\)[t] - k1a\ RAFK[t]\ \(S[0, 0, 0]\)[t] + d1a\ \(S$RAFK[0, 0, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, 0, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 0, 1]\)[t] + kon\ \(K[2, 0]\)[t]\ \(S[0, \(-1\), 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[0, 0, \(-1\)]\)[t] - k3\ \(S[0, 0, 1]\)[t] - 2\ koff\ \(S[0, 0, 1]\)[t] - kpoff\ \(S[0, 0, 1]\)[t] + k1\ \(S$RAFK[0, 0, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, 1, \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] + kpon\ \(K[2, 1]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - koff\ \(S[0, 1, \(-1\)]\)[t] - kpoff\ \(S[0, 1, \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[0, 1, \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[0, 1, \(-1\)]\)[t] + koff\ \(S[0, 1, 0]\)[t] + kpoff\ \(S[0, 1, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, 1, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 1, 0]\)[t] + kpon\ \(K[2, 1]\)[t]\ \(S[0, \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[0, 1, \(-1\)]\)[t] - 2\ koff\ \(S[0, 1, 0]\)[t] - kpoff\ \(S[0, 1, 0]\)[t] - k1a\ RAFK[t]\ \(S[0, 1, 0]\)[t] + d1a\ \(S$RAFK[0, 1, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, 1, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 1, 1]\)[t] + kpon\ \(K[2, 1]\)[t]\ \(S[0, \(-1\), 1]\)[t] + k3\ \(S[0, 0, 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[0, 1, \(-1\)]\)[t] - k5a\ \(S[0, 1, 1]\)[t] - koff\ \(S[0, 1, 1]\)[t] - 2\ kpoff\ \(S[0, 1, 1]\)[t] + k1\ \(S$RAFK[0, 1, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, 2, \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] + kpon\ \(K[2, 2]\)[t]\ \(S[0, \(-1\), \(-1\)]\)[t] - k7\ \(S[0, 2, \(-1\)]\)[t] - koff\ \(S[0, 2, \(-1\)]\)[t] - kpoff\ \(S[0, 2, \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[0, 2, \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[0, 2, \(-1\)]\)[t] + koff\ \(S[0, 2, 0]\)[t] + kpoff\ \(S[0, 2, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, 2, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 2, 0]\)[t] + kpon\ \(K[2, 2]\)[t]\ \(S[0, \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[0, 2, \(-1\)]\)[t] - k7\ \(S[0, 2, 0]\)[t] - 2\ koff\ \(S[0, 2, 0]\)[t] - kpoff\ \(S[0, 2, 0]\)[t] - k1a\ RAFK[t]\ \(S[0, 2, 0]\)[t] + d1a\ \(S$RAFK[0, 2, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[0, 2, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kon\ \(K[1, 0]\)[t]\ \(S[\(-1\), 2, 1]\)[t] + kpon\ \(K[2, 2]\)[t]\ \(S[0, \(-1\), 1]\)[t] + k5a\ \(S[0, 1, 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[0, 2, \(-1\)]\)[t] - k7\ \(S[0, 2, 1]\)[t] - koff\ \(S[0, 2, 1]\)[t] - 2\ kpoff\ \(S[0, 2, 1]\)[t] + k1\ \(S$RAFK[0, 2, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, \(-1\), \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[ t] - kpoff\ \(S[1, \(-1\), \(-1\)]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] + koff\ \(S[1, \(-1\), 0]\)[t] + kpoff\ \(S[1, \(-1\), 1]\)[t] + koff\ \(S[1, 0, \(-1\)]\)[t] + kpoff\ \(S[1, 1, \(-1\)]\)[t] + kpoff\ \(S[1, 2, \(-1\)]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, \(-1\), 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - koff\ \(S[1, \(-1\), 0]\)[t] - kpoff\ \(S[1, \(-1\), 0]\)[t] - k1a\ RAFK[t]\ \(S[1, \(-1\), 0]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[1, \(-1\), 0]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[1, \(-1\), 0]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[1, \(-1\), 0]\)[t] + koff\ \(S[1, 0, 0]\)[t] + kpoff\ \(S[1, 1, 0]\)[t] + kpoff\ \(S[1, 2, 0]\)[t] + d1a\ \(S$RAFK[1, \(-1\), 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, \(-1\), 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - 2\ kpoff\ \(S[1, \(-1\), 1]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[1, \(-1\), 1]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[1, \(-1\), 1]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[1, \(-1\), 1]\)[t] + koff\ \(S[1, 0, 1]\)[t] + kpoff\ \(S[1, 1, 1]\)[t] + kpoff\ \(S[1, 2, 1]\)[t] + k1\ \(S$RAFK[1, \(-1\), 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, 0, \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] + kon\ \(K[2, 0]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - koff\ \(S[1, 0, \(-1\)]\)[t] - kpoff\ \(S[1, 0, \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[1, 0, \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[1, 0, \(-1\)]\)[t] + koff\ \(S[1, 0, 0]\)[t] + kpoff\ \(S[1, 0, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, 0, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 0, 0]\)[t] + kon\ \(K[2, 0]\)[t]\ \(S[1, \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[1, 0, \(-1\)]\)[t] - 2\ koff\ \(S[1, 0, 0]\)[t] - kpoff\ \(S[1, 0, 0]\)[t] - k1a\ RAFK[t]\ \(S[1, 0, 0]\)[t] + d1a\ \(S$RAFK[1, 0, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, 0, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 0, 1]\)[t] + kon\ \(K[2, 0]\)[t]\ \(S[1, \(-1\), 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[1, 0, \(-1\)]\)[t] - k3\ \(S[1, 0, 1]\)[t] - koff\ \(S[1, 0, 1]\)[t] - 2\ kpoff\ \(S[1, 0, 1]\)[t] + k1\ \(S$RAFK[1, 0, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, 1, \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 1, \(-1\)]\)[t] + kpon\ \(K[2, 1]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - 2\ kpoff\ \(S[1, 1, \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[1, 1, \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[1, 1, \(-1\)]\)[t] + koff\ \(S[1, 1, 0]\)[t] + kpoff\ \(S[1, 1, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, 1, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 1, 0]\)[t] + kpon\ \(K[2, 1]\)[t]\ \(S[1, \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[1, 1, \(-1\)]\)[t] - koff\ \(S[1, 1, 0]\)[t] - 2\ kpoff\ \(S[1, 1, 0]\)[t] - k1a\ RAFK[t]\ \(S[1, 1, 0]\)[t] + d1a\ \(S$RAFK[1, 1, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, 1, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 1, 1]\)[t] + kpon\ \(K[2, 1]\)[t]\ \(S[1, \(-1\), 1]\)[t] + k3\ \(S[1, 0, 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[1, 1, \(-1\)]\)[t] - k5a\ \(S[1, 1, 1]\)[t] - 3\ kpoff\ \(S[1, 1, 1]\)[t] + k1\ \(S$RAFK[1, 1, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, 2, \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 2, \(-1\)]\)[t] + k7\ \(S[0, 2, \(-1\)]\)[t] + kpon\ \(K[2, 2]\)[t]\ \(S[1, \(-1\), \(-1\)]\)[t] - k9a\ \(S[1, 2, \(-1\)]\)[t] - 2\ kpoff\ \(S[1, 2, \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[1, 2, \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[1, 2, \(-1\)]\)[t] + koff\ \(S[1, 2, 0]\)[t] + kpoff\ \(S[1, 2, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, 2, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 2, 0]\)[t] + k7\ \(S[0, 2, 0]\)[t] + kpon\ \(K[2, 2]\)[t]\ \(S[1, \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[1, 2, \(-1\)]\)[t] - k9a\ \(S[1, 2, 0]\)[t] - koff\ \(S[1, 2, 0]\)[t] - 2\ kpoff\ \(S[1, 2, 0]\)[t] - k1a\ RAFK[t]\ \(S[1, 2, 0]\)[t] + d1a\ \(S$RAFK[1, 2, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[1, 2, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 1]\)[t]\ \(S[\(-1\), 2, 1]\)[t] + k7\ \(S[0, 2, 1]\)[t] + kpon\ \(K[2, 2]\)[t]\ \(S[1, \(-1\), 1]\)[t] + k5a\ \(S[1, 1, 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[1, 2, \(-1\)]\)[t] - k9a\ \(S[1, 2, 1]\)[t] - 3\ kpoff\ \(S[1, 2, 1]\)[t] + k1\ \(S$RAFK[1, 2, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[2, \(-1\), \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), \(-1\), \(-1\)]\)[ t] - kpoff\ \(S[2, \(-1\), \(-1\)]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] + koff\ \(S[2, \(-1\), 0]\)[t] + kpoff\ \(S[2, \(-1\), 1]\)[t] + koff\ \(S[2, 0, \(-1\)]\)[t] + kpoff\ \(S[2, 1, \(-1\)]\)[t] + kpoff\ \(S[2, 2, \(-1\)]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[2, \(-1\), 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] - koff\ \(S[2, \(-1\), 0]\)[t] - kpoff\ \(S[2, \(-1\), 0]\)[t] - k1a\ RAFK[t]\ \(S[2, \(-1\), 0]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[2, \(-1\), 0]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[2, \(-1\), 0]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[2, \(-1\), 0]\)[t] + koff\ \(S[2, 0, 0]\)[t] + kpoff\ \(S[2, 1, 0]\)[t] + kpoff\ \(S[2, 2, 0]\)[t] + d1a\ \(S$RAFK[2, \(-1\), 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[2, \(-1\), 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), \(-1\), 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] - 2\ kpoff\ \(S[2, \(-1\), 1]\)[t] - kon\ \(K[2, 0]\)[t]\ \(S[2, \(-1\), 1]\)[t] - kpon\ \(K[2, 1]\)[t]\ \(S[2, \(-1\), 1]\)[t] - kpon\ \(K[2, 2]\)[t]\ \(S[2, \(-1\), 1]\)[t] + koff\ \(S[2, 0, 1]\)[t] + kpoff\ \(S[2, 1, 1]\)[t] + kpoff\ \(S[2, 2, 1]\)[t] + k1\ \(S$RAFK[2, \(-1\), 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[2, 0, \(-1\)]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 0, \(-1\)]\)[t] + kon\ \(K[2, 0]\)[t]\ \(S[2, \(-1\), \(-1\)]\)[t] - koff\ \(S[2, 0, \(-1\)]\)[t] - kpoff\ \(S[2, 0, \(-1\)]\)[t] - kon\ \(K[3, 0]\)[t]\ \(S[2, 0, \(-1\)]\)[t] - kpon\ \(K[3, 1]\)[t]\ \(S[2, 0, \(-1\)]\)[t] + koff\ \(S[2, 0, 0]\)[t] + kpoff\ \(S[2, 0, 1]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[2, 0, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 0, 0]\)[t] + kon\ \(K[2, 0]\)[t]\ \(S[2, \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[2, 0, \(-1\)]\)[t] - 2\ koff\ \(S[2, 0, 0]\)[t] - kpoff\ \(S[2, 0, 0]\)[t] - k1a\ RAFK[t]\ \(S[2, 0, 0]\)[t] + d1a\ \(S$RAFK[2, 0, 0]\)[t]\)}], ",", 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SuperscriptBox[\(S[2, 2, 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 2, 0]\)[t] + k9a\ \(S[1, 2, 0]\)[t] + kpon\ \(K[2, 2]\)[t]\ \(S[2, \(-1\), 0]\)[t] + kon\ \(K[3, 0]\)[t]\ \(S[2, 2, \(-1\)]\)[t] - koff\ \(S[2, 2, 0]\)[t] - 2\ kpoff\ \(S[2, 2, 0]\)[t] - k1a\ RAFK[t]\ \(S[2, 2, 0]\)[t] + d1a\ \(S$RAFK[2, 2, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S[2, 2, 1]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(kpon\ \(K[1, 2]\)[t]\ \(S[\(-1\), 2, 1]\)[t] + k9a\ \(S[1, 2, 1]\)[t] + kpon\ \(K[2, 2]\)[t]\ \(S[2, \(-1\), 1]\)[t] + k5a\ \(S[2, 1, 1]\)[t] + kpon\ \(K[3, 1]\)[t]\ \(S[2, 2, \(-1\)]\)[t] - 3\ kpoff\ \(S[2, 2, 1]\)[t] + k1\ \(S$RAFK[2, 2, 0]\)[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox[\(S$RAFK[\(-1\), \(-1\), 0]\), "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(k1a\ RAFK[t]\ \(S[\(-1\), \(-1\), 0]\)[t] - d1a\ \(S$RAFK[\(-1\), \(-1\), 0]\)[t] - k1\ \(S$RAFK[\(-1\), \(-1\), 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