(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of 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[ 11788682, 297044]*) (*NotebookOutlinePosition[ 11790129, 297087]*) (* CellTagsIndexPosition[ 11790085, 297083]*) (*WindowFrame->Normal*) Notebook[{ Cell[BoxData[ StyleBox[\( (*\ \[Copyright]\ Orly\ Alter\ 2001\ *) \), 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->Automatic, PageBreakBelow->False, Background->RGBColor[1, 1, 0]], Cell[BoxData[ \(\n\)], "Input", 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fullgenenames = TakeColumns[\n\t\tTakeRows[matrix, {1, numbers[\([1]\)]}], \n \t\t{2, 2}]; \n fullmatrix = TakeColumns[\n\t\tTakeRows[matrix, {1, numbers[\([1]\)]}], \n \t\t{3, arrays + 2}]; \n missinggenenames1 = TakeColumns[\n\t\t TakeRows[ matrix, {numbers[\([1]\)] + 1, numbers[\([1]\)] + numbers[\([2]\)]}], \n\t\t{2, 2}]; \n missingmatrix1 = TakeColumns[\n\t\t TakeRows[ matrix, {numbers[\([1]\)] + 1, numbers[\([1]\)] + numbers[\([2]\)]}], \n\t\t{3, arrays + 2}]; \n missinggenenames2 = TakeColumns[\n\t\t TakeRows[ matrix, {\n\t\t\tnumbers[\([1]\)] + numbers[\([2]\)] + 1, \n\t\t\t numbers[\([1]\)] + numbers[\([2]\)] + numbers[\([3]\)]}], \n \t\t{2, 2}]; \n missingmatrix2 = TakeColumns[\n\t\t TakeRows[ matrix, {\n\t\t\tnumbers[\([1]\)] + numbers[\([2]\)] + 1, \n\t\t\t numbers[\([1]\)] + numbers[\([2]\)] + numbers[\([3]\)]}], \n \t\t{3, arrays + 2}]; \)], "Input", PageBreakAbove->Automatic], Cell[BoxData[ StyleBox[\( (*\ Locate\ Array\ Position\ of\ Null\ Data\ *) \), FontColor->RGBColor[0, 0, 1]]], "Input", PageBreakAbove->Automatic], Cell[BoxData[ \(locator1 = Table[0, {numbers[\([2]\)]}]; \n Do[\n\tlocator1[\([a]\)] = locator1[\([a]\)] + Flatten[Position[missingmatrix1[\([a]\)], Null]], \n\t{a, 1, numbers[\([2]\)]}]; \n locator2 = Table[0, {numbers[\([3]\)]}]; \n Do[\n\tlocator2[\([a]\)] = locator2[\([a]\)] + Flatten[Position[missingmatrix2[\([a]\)], Null]], \n\t{a, 1, numbers[\([3]\)]}]; \)], "Input", PageBreakAbove->Automatic], Cell[BoxData[ StyleBox[ \( (*\ Sort\ Raw\ Data\ According\ to\ the\ Position\ of\ Missing\ Data \ Points\ for\ Each\ Gene\ *) \), FontColor->RGBColor[0, 0, 1]]], "Input", PageBreakAbove->Automatic], Cell[BoxData[ \(missingmatrix1 = AppendRows[locator1, missinggenenames1, missingmatrix1]; \n missingmatrix1 = Sort[missingmatrix1, OrderedQ[{#1, #2}]&]; \n locator1 = TakeColumns[missingmatrix1, {1, 1}]; \n missinggenenames1 = TakeColumns[missingmatrix1, {2, 2}]; \n missingmatrix1 = TakeColumns[missingmatrix1, {3, arrays + 2}]; \n missingmatrix2 = AppendRows[locator2, missinggenenames2, missingmatrix2]; \nmissingmatrix2 = Sort[missingmatrix2, OrderedQ[{#1, #2}]&]; \n locator2 = TakeColumns[missingmatrix2, {1, 2}]; \n missinggenenames2 = TakeColumns[missingmatrix2, {3, 3}]; \n missingmatrix2 = TakeColumns[missingmatrix2, {4, arrays + 3}]; \)], "Input", PageBreakAbove->Automatic], Cell[BoxData[ StyleBox[\( (*\ Examine\ Subset\ of\ Genes\ with\ Full\ Data\ *) \), FontColor->RGBColor[1, 0, 0]]], "Input", PageBreakAbove->True, PageBreakBelow->False], Cell[BoxData[ StyleBox[\( (*\ Calculate\ Singular\ Value\ Decomposition\ *) \), FontColor->RGBColor[0, 0, 1]]], "Input", PageBreakAbove->Automatic, PageBreakBelow->False], Cell[CellGroupData[{ Cell[BoxData[ \(correlation = Dot[Transpose[fullmatrix], fullmatrix]/\((arrays - 1)\); \n{eigenexpressions, eigengenes} = Eigensystem[correlation]; \n eigenexpressions = Sqrt[\((arrays - 1)\)*eigenexpressions]; \n Clear[correlation]; \neigengenes[\([2]\)] = \(-eigengenes[\([2]\)]\); \n eigengenes[\([3]\)] = \(-eigengenes[\([3]\)]\); \n eigengenes[\([6]\)] = \(-eigengenes[\([6]\)]\); \n eigenarrays = Dot[eigengenes, Transpose[fullmatrix]]; \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 probabilities = eigenexpressions^2/Sum[eigenexpressions[\([a]\)]^2, {a, 1, arrays}]; \n entropy = \(-N[Sum[probabilities[\([a]\)]*Log[probabilities[\([a]\)]], {a, 1, arrays}]/Log[arrays]]\); \n entropy = N[Round[100*entropy]/100]\)], "Input", PageBreakAbove->Automatic, PageBreakBelow->False], Cell[BoxData[ \(0.210000000000000008`\)], "Output", PageBreakAbove->False, PageBreakBelow->False] }, Open ]], Cell[BoxData[ \( (*\ Create\ Probabilities\ Bar\ Charts\ Displays\ *) \)], "Input", PageBreakAbove->Automatic, PageBreakBelow->False, FontColor->RGBColor[0, 0, 1]], Cell[CellGroupData[{ Cell[BoxData[ \(probabilities[\([2]\)]\)], "Input", PageBreakAbove->Automatic, PageBreakBelow->False], Cell[BoxData[ \(0.0291012500548453232`\)], "Output", PageBreakAbove->False, PageBreakWithin->False, PageBreakBelow->False] }, Open ]], Cell[BoxData[ \(\(limit = 0.032; \)\)], "Input", PageBreakAbove->Automatic, PageBreakBelow->False], Cell[BoxData[ \(Clear[gridx, framex, framey, sizes]; \n 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 - 9}, {a, 0, 15 - 2}]; \n table = Table[probabilities[\([arrays - a]\)], {a, 9, arrays - 2}]; \)], "Input", PageBreakAbove->Automatic, PageBreakBelow->False], Cell[BoxData[ \(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 Probability\>", StringJoin["\", ToString[entropy]], "\< \>"}, Center]; \n g = BarChart[\n\t\t Table[probabilities[\([arrays - a]\)], {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, 22.6}]}], \n\t\t\t Graphics[{Rectangle[{0.1, 0.6}, {0.98, 22.6}, g1]}]}, \n\t AspectRatio -> 1.35, \n\tPlotRange -> All, \n\t DisplayFunction -> Identity]; \)], "Input", PageBreakAbove->Automatic, 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 = "\"; \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->Automatic, 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]\), \(eigengenes3 = Chop[TrigFit[Drop[Drop[eigengenes[\([3]\)], {23, 24}], {1, 3}], 2, {x - 3, arrays - 4}], 0.1]\), \(eigengenes4 = Chop[TrigFit[Drop[Drop[eigengenes[\([4]\)], {23, 24}], {1, 3}], 3, {x - 3, arrays - 4}], 0.1]\), \(eigengenes5 = Chop[TrigFit[Drop[Drop[eigengenes[\([5]\)], {23, 24}], {1, 3}], 3, {x - 3, arrays - 4}], 0.1]\), \(eigengenes6 = Chop[TrigFit[Drop[Drop[eigengenes[\([6]\)], {23, 24}], {1, 3}], 3, {x - 3, arrays - 4}], 0.1]\)}], "Input", PageBreakAbove->Automatic, PageBreakBelow->False], Cell[BoxData[ \(0.203360120432244162`\)], "Output", PageBreakAbove->Automatic], Cell[BoxData[ \(\(-0.111808395034375562`\)\ Sin[1\/10\ \[Pi]\ \((\(-3\) + x)\)] - 0.137003267649258098`\ Sin[1\/5\ \[Pi]\ \((\(-3\) + x)\)]\)], "Output", PageBreakAbove->Automatic], Cell[BoxData[ \(\(-0.115179749413916421`\)\ Cos[1\/10\ \[Pi]\ \((\(-3\) + x)\)] + 0.179585787428075382`\ Cos[1\/5\ \[Pi]\ \((\(-3\) + x)\)]\)], "Output", PageBreakAbove->Automatic], Cell[BoxData[ \(0.128551735625145857`\ Cos[1\/5\ \[Pi]\ \((\(-3\) + x)\)] + 0.18723063302141309`\ Sin[1\/5\ \[Pi]\ \((\(-3\) + x)\)]\)], "Output", PageBreakAbove->Automatic], Cell[BoxData[ \(0.159377122562134676`\ Cos[1\/10\ \[Pi]\ \((\(-3\) + x)\)] - 0.151925168123901466`\ Sin[1\/10\ \[Pi]\ \((\(-3\) + x)\)]\)], "Output",\ PageBreakAbove->Automatic] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(labelx = ColumnForm[{"\<(c) 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[\([1, a]\)]}, \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 -> {None, {{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. , \(-1. \)}] 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