(************** Content-type: application/mathematica **************
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Cell[CellGroupData[{
Cell["Activator-Inhibitor Model", "Title"],

Cell["\<\
Two species, A and X
X is held constant, and is converted to A at a constant rate in every cell.
A enhances production of A from X inside a cell.
A enhances degradation of A in neighboring cells.\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(<< cellerator.m\)], "Input",
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Cell[BoxData[
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using Mathematica Version 5.0 for Mac OS X (November 19, 2003)"\)], "Print",
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Cell[BoxData[
    \(MyInternalNetwork[
        i_] := \ {{A[i] \[RightArrowLeftArrow] 2\ A[i], v, \ v/K}}; 
    MyInteractionNetwork[i_, 
        j_] := {{\(A[j]\[DoubleLongRightArrow]\[EmptySet]\)\&\(A[i]\), \ 
          MM[K2, v2]}};\)], "Input",
  CellLabel->"In[8]:="],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(net = 
        generateMulticellularNetwork[\[IndentingNewLine]NumberOfCells \[Rule] \
\ 100, \[IndentingNewLine]GlobalReactions \[Rule] \ {}, \
\[IndentingNewLine]NeighborDistance \[Rule] \ 
            1, \[IndentingNewLine]cellGridType \[Rule] \ "\<hex\>", \
\[IndentingNewLine]InteractionNetwork \[Rule] \ 
            MyInteractionNetwork, \[IndentingNewLine]InternalNetwork \[Rule] \
\ MyInternalNetwork, \[IndentingNewLine]echo \[Rule] \ 
            True];\)\), "\[IndentingNewLine]", 
    \(\(xy = CellCoordinates /. net;\)\), "\[IndentingNewLine]", 
    \(\(stn = ReactionNetwork /. net;\)\), "\[IndentingNewLine]", 
    \(\(n = NumberOfCells /. net;\)\)}], "Input",
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  CellLabel->"From In[9]:="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(cpu\  = \ TimeUsed[]; 
    sim = predictTimeCourse[stn, 
        rates \[Rule] {\ v \[Rule] 1, K \[Rule] \ 1, \ \ K2 \[Rule] \ 1, \ 
            v2 \[Rule] \ 1}, \ \[IndentingNewLine]timeSpan \[Rule] \ {0, 
            250}, \[IndentingNewLine]initialConditions \[Rule] {\(A[#] \
\[Rule] \  .01 &\) /@ Range[n]}, 
        MaxSteps \[Rule] \ 100000];\), "\[IndentingNewLine]", 
    \(\(Print[TimeUsed[] - cpu];\)\)}], "Input",
  CellLabel->"In[13]:="],

Cell[BoxData[
    \(201.75`\)], "Print",
  CellLabel->"From In[13]:="]
}, Open  ]],

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Cell[BoxData[
    \(\(samePlot[A /@ Range[n], sim];\)\)], "Input",
  CellLabel->"In[15]:="],

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.47125 .01472 L
.47194 .01472 L
.47319 .01472 L
Mistroke
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.47525 .01472 L
.47593 .01472 L
.47667 .01472 L
.47747 .01472 L
.47823 .01472 L
.47893 .01472