(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' 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). 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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[ 79810, 2204]*) (*NotebookOutlinePosition[ 80769, 2233]*) (* CellTagsIndexPosition[ 80725, 2229]*) (*WindowFrame->Normal*) Notebook[{ Cell[BoxData[ \(\(\(\[IndentingNewLine]\)\(\(IRtot = 40;\)\[IndentingNewLine] \(xBalance = {x1 \[Rule] IRtot - x2 - x3 - x4 - x5};\)\[IndentingNewLine]\[IndentingNewLine] \(Param = {\[IndentingNewLine]k12 -> 4*10^\((\(-4\))\), \[IndentingNewLine]k21 -> 10^\((\(-3\))\), \[IndentingNewLine]k32 \[Rule] 1.2975/60, \[IndentingNewLine]k43 \[Rule] 0.021675/60, \[IndentingNewLine]k54 \[Rule] 0.08045/60, \[IndentingNewLine]k15 -> 1.533*10^\((\(-3\))\), \[IndentingNewLine]k51 -> 2*10^\((\(-4\))\)};\)\[IndentingNewLine]\[IndentingNewLine] \(Hori5Pool = \({k12*x2 + k15*x5 - \((k21*u + k51)\)*x1 \[Equal] 0, \[IndentingNewLine]k21*u*x1 - \((k12 + k32)\)*x2 \[Equal] 0, \[IndentingNewLine]k32*x2 - k43*x3 \[Equal] 0, \[IndentingNewLine]k43*x3 - k54*x4 \[Equal] 0\[IndentingNewLine] (*\(,\)\(k51*x1 + k54*x4 - k15*x5 \[Equal] 0\)*) } /. xBalance\) /. Param;\)\[IndentingNewLine]\[IndentingNewLine]\[IndentingNewLine] \(HoriStat = Solve[Hori5Pool, {x2, x3, x4, x5}];\)\[IndentingNewLine]\[IndentingNewLine] (*\ For\ all\ parameter\ values\ that\ differ\ in\ the\ different\ models, \ \ the\ mid\ value\ was\ taken . \ k12\ and\ k21\ were\ taken\ from\ Wanant\ et\ \(\(al\)\(.\)\), \ \ \(k15\ and\ k51\ were\ taken\ from\ Backer\ et\ al .. \)\ \ \[IndentingNewLine]The\ time\ unit\ of\ the\ model\ parameters\ was\ changed\ \ from\ min^\((\(-1\))\)\ to\ \(\(s^\((\(-1\))\)\)\(.\)\)\[IndentingNewLine]\ *) \[IndentingNewLine]\[IndentingNewLine]\[IndentingNewLine] \(IRphosLog = \(\((x3 + x4)\)/IRtot /. HoriStat\) /. u \[Rule] 10^ex;\)\[IndentingNewLine] \(IRInsLog = \(\((0.01/u)\)*\((x2 + x3)\) /. HoriStat\) /. u -> \((0.01 + 10^ex)\);\)\[IndentingNewLine] \)\)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(\[IndentingNewLine]\)\(\[IndentingNewLine]\)\(<< Graphics`MultipleListPlot`\[IndentingNewLine]\[IndentingNewLine] \(Klein2002ins = {{\(-2\), 101.04761904761904`}, {\(-1.5`\), 102.47619047619047`}, {\(-1\), 100.57142857142857`}, {\(-0.5`\), 79.6190476190476`}, {0, 47.23809523809524`}, {0.5`, 28.666666666666664`}, {1, 14.857142857142856`}, {1.5`, 5.333333333333334`}, {2, 0.9523809523809532`}, {4, 0.`}};\)\[IndentingNewLine] \(Klein2002insEB = {{{\(-2\), 101.04761904761904`}, ErrorBar[{\(-3.8095238095238098`\), 3.8095238095238098`}]}, {{\(-1.5`\), 102.47619047619047`}, ErrorBar[{\(-3.8095238095238098`\), 3.8095238095238098`}]}, {{\(-1\), 100.57142857142857`}, ErrorBar[{\(-3.8095238095238098`\), 3.8095238095238098`}]}, {{\(-0.5`\), 79.6190476190476`}, ErrorBar[{\(-2.857142857142857`\), 2.857142857142857`}]}, {{0, 47.23809523809524`}, ErrorBar[{\(-2.857142857142857`\), 2.857142857142857`}]}, {{0.5`, 28.666666666666664`}, ErrorBar[{\(-1.9047619047619049`\), 1.9047619047619049`}]}, {{1, 14.857142857142856`}, ErrorBar[{\(-2.857142857142857`\), 2.857142857142857`}]}, {{1.5`, 5.333333333333334`}, ErrorBar[{\(-1.9047619047619049`\), 1.9047619047619049`}]}, {{2, 0.9523809523809532`}, ErrorBar[{\(-1.9047619047619049`\), 1.9047619047619049`}]}, {{4, 0.`}, ErrorBar[{\(-0.9523809523809524`\), 0.9523809523809524`}]}};\)\[IndentingNewLine]\ \[IndentingNewLine]\[IndentingNewLine]\ (*\ Projection\ of\ model\ output\ on\ experimental\ data\ \ *) \[IndentingNewLine]\[IndentingNewLine] \(IRInsLogFit\ = \ Fit[Klein2002ins, IRInsLog, ex];\)\[IndentingNewLine]\[IndentingNewLine] FigIRIns = Plot[IRInsLogFit, {ex, \(-3\), 4}, PlotStyle \[Rule] {RGBColor[0, 0, 0]}, FrameLabel \[Rule] \ {"\", "\"}, \ Frame \[Rule] \ True, DisplayFunction \[Rule] \ Identity, PlotRange \[Rule] \ {All, All}]\[IndentingNewLine]\[IndentingNewLine] \)\)\)], "Input"], Cell[BoxData[ 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0.08495575221238938`*facphos}]}};\)\[IndentingNewLine]\n (*\ Projection\ of\ experimental\ data\ on\ model\ output\ \ *) \[IndentingNewLine]\[IndentingNewLine] \(IRphosFit = Fit[Klein2002phos, IRphosLog, ex];\)\)\)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(\[IndentingNewLine]\)\(\[IndentingNewLine]\)\(\(FigIRphos = Plot[IRphosLog, {ex, \(-2\), 2}, PlotStyle \[Rule] {RGBColor[0, 0, 0]}, FrameLabel \[Rule] \ {"\", "\"}, \ Frame \[Rule] \ True, DisplayFunction \[Rule] \ Identity, PlotRange \[Rule] \ {All, {0, 0.8}}];\)\[IndentingNewLine]\[IndentingNewLine] \(ScalingPhos = IRphosLog/ IRphosFit;\)\[IndentingNewLine]\[IndentingNewLine]\ \[IndentingNewLine] FigAktData = MultipleListPlot[ Evaluate[Klein2002phosEB /. facphos -> ScalingPhos[\([1]\)]], SymbolStyle \[Rule] {RGBColor[1, 0, 0]}, DisplayFunction \[Rule] \ Identity, SymbolShape \[Rule] {PlotSymbol[ Box]}, \[IndentingNewLine]AxesOrigin \[Rule] {0, 0}, FrameLabel \[Rule] \ {"\<\>", "\<\>", "\<\>", "\"}, Frame \[Rule] 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