(***********************************************************************

                    Mathematica-Compatible Notebook

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***********************************************************************)

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(*NotebookOptionsPosition[   9542758,     245921]*)
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Notebook[{
Cell[BoxData[
    StyleBox[\( (*\ \[Copyright]\ Orly\ Alter\ 2000\ *) \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False,
  Background->RGBColor[1, 1, 0]],

Cell[BoxData[
    StyleBox[\( (*\ All\ Rights\ Reserved\ *) \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False,
  Background->RGBColor[1, 1, 0]],

Cell[BoxData[
    \(\n\)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    StyleBox[
      \( (*\ \(\(SVD\ Analysis\ of\ Alpha\ Factor\ &\)\ CLB2\ &\)\ CLN3\ *) 
        \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False,
  Background->RGBColor[1, 1, 0]],

Cell[BoxData[
    StyleBox[\( (*\ Normalize\ Selected\ Data\ *) \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False,
  Background->RGBColor[1, 1, 0]],

Cell[BoxData[
    StyleBox[\( (*\ Read\ Selected\ Data\ from\ Select_Data . txt\ *) \),
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  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(<< LinearAlgebra`MatrixManipulation`; \n<< NumericalMath`TrigFit`; 
    \n<< Graphics`Graphics`; \n<< Graphics`Arrow`; \n
    Off[General::"\<spell\>"]; \)], "Input",
  PageBreakAbove->False,
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Cell[BoxData[
    StyleBox[\( (*\ Define\ HardDrive\ *) \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
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  PageBreakBelow->False],

Cell[BoxData[
    \(\(name = "\<Marzipan\>"; \)\)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    StyleBox[\( (*\ \(\(Alpha\ Factor\ &\)\ CLB2\ &\)\ CLN3\ *) \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
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Cell[CellGroupData[{

Cell[BoxData[{
    \(stream = 
      StringJoin[name, "\<:Desktop Folder:PNAS Data:Select_Alpha&Cls.txt\>"]; 
    \nmatrix = 
      ReadList[stream, Word, RecordLists -> True, NullWords -> True]; 
    \n{genes, arrays} = Dimensions[matrix] - {2, 1}\), 
    \(\(Clear[stream]; \)\)}], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \({4579, 22}\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
    \(genenames = 
      TakeRows[\n\t\tTakeColumns[matrix, {1, 1}], \n\t\t{3, genes + 2}]; \n
    arraynames = 
      TakeColumns[\n\t\tTakeRows[matrix, {1, 2}], \n\t\t{2, arrays + 1}]; \n
    matrix = TakeColumns[\n\t\tTakeRows[matrix, {3, genes + 2}], \n
        \t\t\t\t{2, arrays + 1}]; \nmatrix = ToExpression[matrix]; \)], 
  "Input",
  PageBreakAbove->False,
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Cell[BoxData[
    \(sizes = 
      Flatten[\n\t\t
        Table[\n\t\t\t
          Dimensions[\n\t\t\t\t
            Characters[\n\t\t\t\t\tToString[arraynames[\([2, a]\)]]\n\t\t\t\t]
              \n\t\t\t], {a, 1, arrays}]]; \n
    size = \(Sort[sizes, OrderedQ[{#2, #1}]&]\)[\([1]\)]; \n
    Do[\n\tDo[
        arraynames[\([2, a]\)] = 
          StringJoin[ToString[arraynames[\([2, a]\)]], "\< \>"], \n
        \t\ \ \ \ \ \ \ {b, 1, size - sizes[\([a]\)]}], \n
      \ \ \ \ \t{a, 1, arrays}]; \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    StyleBox[\( (*\ Examine\ Raw\ Data\ *) \),
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  PageBreakBelow->False,
  Background->RGBColor[1, 1, 0]],

Cell[BoxData[
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      FontColor->RGBColor[0, 0, 1]]], "Input",
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Cell[CellGroupData[{

Cell[BoxData[
    \(correlation = Dot[Transpose[matrix], matrix]/\((arrays - 1)\); 
    \n{eigenexpressions, eigengenes} = Eigensystem[correlation]; \n
    eigenexpressions = Sqrt[\((arrays - 1)\)*eigenexpressions]; \n
    Clear[correlation]; \neigengenes[\([4]\)] = \(-eigengenes[\([4]\)]\); \n
    eigengenes[\([6]\)] = \(-eigengenes[\([6]\)]\); \n
    eigengenes[\([7]\)] = \(-eigengenes[\([7]\)]\); \n
    eigengenes[\([11]\)] = \(-eigengenes[\([11]\)]\); \n
    eigenarrays = Dot[eigengenes, Transpose[matrix]]; \n
    Do[\n\teigenarrays[\([a]\)] = 
        eigenarrays[\([a]\)]/eigenexpressions[\([a]\)], \n\t{a, 1, arrays}]; 
    \neigenarrays = Transpose[eigenarrays]; \n
    arraycorrelations = Dot[DiagonalMatrix[eigenexpressions], eigengenes]; \n
    genecorrelations = Dot[eigenarrays, DiagonalMatrix[eigenexpressions]]; \n
    genecorrelations = Transpose[genecorrelations]; \n
    fractions = 
      eigenexpressions^2/Sum[eigenexpressions[\([a]\)]^2, {a, 1, arrays}]; \n
    entropy = 
      \(-N[Sum[fractions[\([a]\)]*Log[fractions[\([a]\)]], {a, 1, arrays}]/
            Log[arrays]]\); \nentropy = N[Round[100*entropy]/100]\)], "Input",\

  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.25`\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
    \( (*\ Create\ Fractions\ Bar\ Charts\ Displays\ *) \)], "Input",
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  PageBreakBelow->False,
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Cell[CellGroupData[{

Cell[BoxData[
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  PageBreakBelow->False],

Cell[BoxData[
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  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
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Cell[BoxData[
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    gridx = Table[a, {a, 0, limit, N[limit/4]}]; \nframex = gridx; \n
    sizes = Flatten[\n\t\t
        Table[\n\t\t\t
          Dimensions[\n\t\t\t\t
            Characters[\n\t\t\t\t\tToString[framex[\([a]\)]]\n\t\t\t\t]\n
            \t\t\t], {a, 1, 5}]]; \n
    Do[\n\tDo[
        framex[\([a]\)] = StringJoin[ToString[framex[\([a]\)]], "\< \>"], \n
        \t\ \ \ \ \ \ \ {b, 1, 5 - sizes[\([a]\)]}], \n\ \ \ \ \t{a, 1, 5}]; 
    \nframex = Table[{gridx[\([a]\)], framex[\([a]\)]}, {a, 1, 5}]; \n
    gridx = Table[{gridx[\([a]\)], RGBColor[0, 0, 0]}, {a, 1, 5}]; \n
    framey = Table[{a + 1, arrays - a - 7}, {a, 0, 15 - 2}]; \n
    table = Table[fractions[\([arrays - a]\)], {a, 7, arrays - 2}]; \n
    g = BarChart[\n\t\ttable, \n\t\tBarOrientation -> Horizontal, \n\t\t
        PlotRange -> {{0, limit*1.0001}, {0.5, 15 - 1 + 0.5}}, \n\t\t
        AspectRatio -> 1, \n\t\tAxes -> False, \n\t\tFrame -> True, \n\t\t
        FrameTicks -> {None, framey, framex, None}, \n\t\t
        FrameLabel -> {None, None, None, None}, \t\t\n\t\t
        GridLines -> {gridx, None}, \n\t\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 1.75}, {0, 0}, {0, 1}]; \n
    g1 = Show[g, \n\tAspectRatio -> 1.25, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False],

Cell[BoxData[
    \(gridx = Table[a, {a, 0, 1, 0.2}]; \nframex = gridx; \n
    sizes = Flatten[\n\t\t
        Table[\n\t\t\t
          Dimensions[\n\t\t\t\t
            Characters[\n\t\t\t\t\tToString[framex[\([a]\)]]\n\t\t\t\t]\n
            \t\t\t], {a, 1, 6}]]; \n
    Do[\n\tDo[
        framex[\([a]\)] = StringJoin[ToString[framex[\([a]\)]], "\< \>"], \n
        \t\ \ \ \ \ \ \ {b, 1, size - sizes[\([a]\)]}], \n
      \ \ \ \ \t{a, 1, 6}]; \n
    framex = Table[{gridx[\([a]\)], \n\t\t\tframex[\([a]\)]}, {a, 1, 6}]; \n
    gridx = Table[{gridx[\([a]\)], RGBColor[0, 0, 0]}, {a, 1, 6}]; \n
    framey = Table[{a + 1, arrays - a}, {a, 0, arrays - 1}]; \n
    labelx = ColumnForm[\n
        \t\t{"\<(b) Eigenexpression Fraction\>", 
          StringJoin["\<d = \>", ToString[entropy]], "\< \>"}, Center]; \n
    g = BarChart[\n\t\t
        Table[fractions[\([arrays - a]\)], {a, 0, arrays - 1}], \n\t\t
        BarOrientation -> Horizontal, \n\t\t
        PlotRange -> {{0, 1.0001}, {0.5, arrays + 0.5}}, \n\t\t
        AspectRatio -> 1, \n\t\tAxes -> False, \n\t\tFrame -> True, \n\t\t
        FrameTicks -> {None, framey, framex, None}, \n\t\t
        FrameLabel -> {None, None, labelx, None}, \n\t\t
        GridLines -> {gridx, None}, \n\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 3}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 2.7}, {0, 0}, {0, 1}]; \n
    g2 = Show[{g, \n\t\t\t
          Graphics[{RGBColor[1, 1, 0.8], 
              Rectangle[{0.1, 0.6}, {0.98, 20.6}]}], \n\t\t\t
          Graphics[{Rectangle[{0.1, 0.6}, {0.98, 20.6}, g1]}]}, \n\t
        AspectRatio -> 1.35, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ \(Create\ Eigengenes\ 2  D\ Red\ &\)\ Green\ Raster\ Display\ *) 
      \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[BoxData[
    \(contrast = 3.5; \n
    displaying = 
      Table[\n\t\t
        If[contrast*eigengenes[\([i, j]\)] > 0, \n\t\t\t
          If[contrast*eigengenes[\([i, j]\)] < 1, {
              contrast*eigengenes[\([i, j]\)], 0}, {1, 0}], \n\t\t\t
          If[contrast*eigengenes[\([i, j]\)] > \(-1\), {0, 
              \(-contrast\)*eigengenes[\([i, j]\)]}, {0, 1}]], \n
        \t\t{i, 1, arrays}, {j, 1, arrays}]; \n
    framex = Table[{a - 0.5, arraynames[\([2, a]\)]}, {a, 1, arrays}]; \n
    framey = Table[{a + 1 - 0.5, arrays - a}, {a, 0, arrays - 1}]; \n
    labely = "\<Eigengenes\>"; \n
    labelx = ColumnForm[{"\<(a) Arrays\>", "\< \>", "\< \>"}, Center]; \n
    g = Show[\n\t
        Graphics[\n\t\t
          RasterArray[\n\t\t\t
            Table[\n\t\t\t\t
              RGBColor[\n\t\t\t\t\tdisplaying[\([i, j, 1]\)], 
                displaying[\([i, j, 2]\)], 0\n\t\t\t\t\t], \n
              \t\t\t\t{i, arrays, 1, \(-1\)}, {j, 1, arrays}\n\t\t\t]]], \n\t
        AspectRatio -> 1, Frame -> True, \n\t
        FrameTicks -> {None, framey, framex, None}, \n\t
        FrameLabel -> {None, labely, labelx, None}, \n\t
        DisplayFunction -> Identity]; \ng = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labely, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[labely, {b - 3, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 3}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 2.7}, {0, 0}, {0, 1}]; \n
    g1 = Show[g, \n\tAspectRatio -> 1.05, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ Create\ Selected\ Eigengenes\ Graph\ Display\ *) \)], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(eigengenes1 = 
      Chop[TrigFit[eigengenes[\([1]\)], 2, {x, arrays - 1}], 0.05]\), 
    \(eigengenes4 = 
      Chop[TrigFit[Drop[Drop[eigengenes[\([4]\)], {19, 22}], {1}], 
          2, {x - 1, arrays - 5}], 0.05]\), 
    \(eigengenes5 = 
      Chop[TrigFit[Drop[Drop[eigengenes[\([5]\)], {19, 22}], {1}], 
          2, {x - 1, arrays - 5}], 0.05]\), 
    \(eigengenes6 = 
      Chop[TrigFit[Drop[Drop[eigengenes[\([6]\)], {19, 22}], {1}], 
          2, {x - 1, arrays - 5}], 0.1]\)}], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \(\(-0.211007407947930891`\)\)], "Output",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.0904702668799860454`\ Sin[4\/17\ \[Pi]\ \((\(-1\) + x)\)]\)], "Output",\

  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.136240110489467292`\ Sin[2\/17\ \[Pi]\ \((\(-1\) + x)\)] + 
      0.151971819578843785`\ Sin[4\/17\ \[Pi]\ \((\(-1\) + x)\)]\)], "Output",\

  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
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  PageBreakAbove->Automatic,
  PageBreakBelow->False]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(eigengenes7 = 
      Chop[TrigFit[Drop[Drop[eigengenes[\([7]\)], {19, 22}], {1}], 
          2, {x - 1, arrays - 5}], 0.05]\), 
    \(eigengenes9 = 
      Chop[TrigFit[Drop[Drop[eigengenes[\([9]\)], {19, 22}], {1}], 
          2, {x - 1, arrays - 5}], 0.15]\), 
    \(eigengenes11 = 
      Chop[TrigFit[Drop[Drop[eigengenes[\([11]\)], {19, 22}], {1}], 
          2, {x - 1, arrays - 5}], 0.15]\)}], "Input"],

Cell[BoxData[
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  PageBreakAbove->False,
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Cell[BoxData[
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  PageBreakAbove->Automatic,
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Cell[BoxData[
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  PageBreakAbove->Automatic,
  PageBreakBelow->False]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
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    labely = ColumnForm[{"\< \>", "\<Expression Level\>"}, Center]; \n
    framex = Table[{a - 1, arraynames[\([2, a]\)]}, {a, 1, arrays}]; \n
    framey = {\(-1\), \(-0.5\), 0, 0.5, 1}; \n
    coordinates = Table[{a - 1, eigengenes[\([1, a]\)]}, \t{a, 1, arrays}]; \n
    points = Table[Point[coordinates[\([a]\)]], \t{a, 1, arrays}]; \n
    line = Line[coordinates]; \n
    g = Show[\n
        \t\t{Graphics[{RGBColor[1, 0, 0], PointSize[0.022], points}], \n\t\t\t
          Graphics[{RGBColor[1, 0, 0], line}]}, \n\tFrame -> True, \n\t
        FrameLabel -> {None, labely, labelx, None}, \n\t
        GridLines -> {{{17.5, RGBColor[0, 0, 0]}, {19.5, 
                RGBColor[0, 0, 0]}}, {{0, RGBColor[0, 0, 0]}}}, \n\t
        FrameTicks -> {None, framey, framex, None}, \n\t
        PlotRange -> {\(-1.05\), 1.05}, \n\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labely, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[labely, {b - 5.4, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 0.625}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 0.25}, {0, 0}, {0, 1}]; \n
    p1 = Show[g, \n\t\tAspectRatio -> 1.05, \n\t\tPlotRange -> All]; \)], 
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  PageBreakAbove->False,
  PageBreakBelow->False],

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Cell[BoxData[
    \(graph = 
      Plot[\n\t\teigengenes5, \n\t\t{x, 1, arrays - 5}, \n\t\t
        PlotStyle -> {RGBColor[1, 0, 0], Dashing[{0.03, 0.02}]}, \n\t\t
        DisplayFunction -> Identity]; \n
    labelx = ColumnForm[{"\<(e) Arrays\>"}, Center]; \n
    labely = ColumnForm[{"\< \>", "\< \>"}, Center]; \n
    framex = Table[{a - 1, arraynames[\([2, a]\)]}, {a, 1, arrays}]; \n
    framey = {\(-1\), \(-0.5\), 0, 0.5, 1}; \n
    coordinates = Table[{a - 1, eigengenes[\([5, a]\)]}, \t{a, 1, arrays}]; \n
    points = Table[Point[coordinates[\([a]\)]], \t{a, 1, arrays}]; \n
    line = Line[coordinates]; \n
    g = Show[\n
        \t\t{Graphics[{RGBColor[1, 0, 0], PointSize[0.022], points}], \n\t\t\t
          Graphics[{RGBColor[1, 0, 0], line}], \n\t\t\tgraph}, \n\t\t\t
        Frame -> True, \n\tFrameLabel -> {None, labely, labelx, None}, \n\t
        GridLines -> {{{17.5, RGBColor[0, 0, 0]}, {19.5, 
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        FrameTicks -> {None, framey, framex, None}, \n\t
        PlotRange -> {\(-1.05\), 1.05}, \n\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
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          Text[labely, {b - 5.4, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
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