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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[ 151175, 3847]*) (*NotebookOutlinePosition[ 151949, 3873]*) (* CellTagsIndexPosition[ 151905, 3869]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Total fluxes and concentrations.", "Subsection"], Cell[CellGroupData[{ Cell[" definitions .", "Subsubsection"], Cell["\<\ Designations of the concentrations: g6 - glucose 6-phosphate; f6 - fructose 6-phosphate; r5 - ribose \ 6-phosphate; xy - xylulose 5-phosphate; g3 - glyceraldehyde 3-phosphate; dh - \ dehydroacetone phosphate; x0[t] - (g6+f6); x1[t] - (r5+xy); x2[t] - \ (g3+dh); x3[t] - sedoheptulose 7-phosphate; x4[t] - erythrose 4-phosphate; \ x5[t] - fructose 1,6-diphosphate; \ \>", "Text"], Cell[BoxData[{\(Off[General::"\"];\), "\n", \(Off[ General::"\"];\), "\n", RowBox[{\(V1 = 1.36\ 10^\(-4\);\), RowBox[{ StyleBox["(*", "Text"], StyleBox[" ", "Text"], StyleBox[\(constant\ rate\ of\ hexokinase\ reaction\ expressed\ as\ \ mmol\[Times]\(min\^\(-1\)\(\(\[Times]\)\(\((mg\ of\ prot)\)\^\(-1\)\)\)\)\), "Text", FontFamily->"Times New Roman", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}], StyleBox[" ", "Text"]}], "\n", RowBox[{\(V = 7.5\ 10^\(-3\);\), " ", RowBox[{ StyleBox["(*", "Text"], StyleBox[\(cell\ volume\ expressed\ as\ mL/\((mg\ of\ prot)\)\), "Text", FontFamily->"Times New Roman", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}]}], "\n", RowBox[{\(keq = 0.2\), ";", RowBox[{ StyleBox["(*", "Text"], StyleBox[\(equilibrium\ constant\ of\ phosphoglucose\ isomerase\ \ reaction\ keq = f6/g6\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}], "\[IndentingNewLine]", \(f6 = x0[t]*keq/\((1 + keq)\)\), ";"}], "\n", \(g6 = x0[t] - f6;\), "\n", RowBox[{\(keq = 1.24\), ";", RowBox[{ StyleBox["(*", "Text"], StyleBox[" ", "Text"], StyleBox[\(equilibrium\ ratio\ keq = xy/r5\ as\ a\ result\ of\ the\ \[IndentingNewLine] epimerase\ and\ pentose\ phosphate\ isomerase\ reactions\), "Text", FontFamily->"Times New Roman", FontSize->14, FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text"], StyleBox["*)", "Text"]}], "\[IndentingNewLine]", \(xy = x1[t]*keq/\((1 + keq)\)\), ";"}], "\n", \(r5 = x1[t] - xy;\), "\n", RowBox[{\(keq = 0.05\), ";", RowBox[{ StyleBox["(*", "Text"], StyleBox[\(equilibrium\ constant\ of\ the\ triose\ phosphate\ \ isomerase\ reaction\ keq = g3/dh\), "Text", FontFamily->"Times New Roman", FontSize->14, FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text"], StyleBox["*)", "Text"]}], "\[IndentingNewLine]", \(g3 = x2[t]*keq/\((1 + keq)\)\), ";"}], "\n", RowBox[{\(dh = x2[t] - g3;\), "\n", RowBox[{ StyleBox["(*", "Text"], StyleBox[\(The\ oxidative\ pathway\ of\ pentose\ phosphate\ cycle\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}]}], "\[IndentingNewLine]", \(k21 = 0.4;\), "\n", \(k22 = 1. ;\), "\n", \(k23 = 10000. ;\), "\n", RowBox[{\(V2 = \((k21*g6)\)/\((k22 + k23*g6)\);\), "\n", RowBox[{ StyleBox["(*", "Text"], StyleBox[" ", "Text"], StyleBox[\(Transketolase\ \(reactions : \ \(\(R5P + X5P\)\(<\)\)\) -> \(\(\(GAP + S7P\ \((V3)\)\ and\ X5P + E4P\)\(<\)\) -> GAP + F6P\ \((V4)\)\)\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}]}], "\[IndentingNewLine]", \(k31 = 0.000001; k32 = 0.001; k33 = 0.00001; k34 = 0.0003; k35 = 0.001; k36 = 6.0; k37 = 1.3; k38 = 0.0005; k39 = 0.009; k40 = 0.005; k41 = 8.64; k42 = 0.00001; k43 = 3.2\ 10^\(-6\); k44 = 0.00043; k45 = 0.48; k46 = 29.7; k47 = 0.0002; k3a = 0.0000015; k3b = 0.00001; k3c = 0.0029;\), "\n", \(DenTK = f6*\((k31 + k32*g3 + k33*r5)\) + k34*r5 + k35*x3[t] + k36*g3*x3[t] + k37*r5*x3[t] + k38*xy + k39*g3*xy + r5*xy + x4[t]*\((k40 + k41*f6 + k42*x3[t] + xy)\) + k43*g3;\), "\n", \(V3f = k44*r5*xy/DenTK;\), "\n", \(V3r = k45*k44*g3*x3[t]/DenTK;\), "\n", \(V3 = V3f - V3r;\), "\n", \(V4f = k46*k47*x4[t]*xy/DenTK;\), "\n", \(V4r = k47*f6*g3/DenTK;\), "\n", \(V4 = V4f - V4r;\), "\n", RowBox[{\(V3a = k3a*g3*xy/DenTK\), ";", RowBox[{ StyleBox["(*", "Text"], StyleBox[\(invisible\ TK\ \(reaction : \ X5P + GAP\)\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}], "\n", \(V3b = k3b*x4[t]*f6/DenTK\), ";", RowBox[{ StyleBox["(*", "Text"], StyleBox[\(invisible\ TK\ \(reaction : \ F6P + E4P\)\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}], "\n", \(V3c = k3c*r5*x3[t]/DenTK\), ";", RowBox[{ StyleBox["(*", "Text"], RowBox[{ RowBox[{ StyleBox["invisible", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[" ", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox["TK", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[" ", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], RowBox[{ StyleBox["reaction", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[":", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[" ", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], RowBox[{ StyleBox["S7P", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox["+", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], RowBox[{ StyleBox["R5P", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[" ", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox["\[IndentingNewLine]", "Text"], StyleBox["Transaldolase", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[" ", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[\(reaction : \ \(\(S7P + GAP\)\(<\)\)\), FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}]}]}]}]}], StyleBox["->", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[\(E4P + F6P\ \((V5)\)\), FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}]}], StyleBox[" ", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox["*)", "Text"]}], "\n", \(k50 = 0.14*0.2\), ";", \(k51 = 1.33*0.025\), ";", \(k52 = 0.006\), ";", \(k53 = 0.002\), ";", " ", \(k54 = 30. \), ";", \(k55 = 0.0002\), ";", \(k56 = 0.9\), ";", \(k57 = 0.0002\), ";", \(k58 = 30. \), ";", \(k59 = 0.37\), ";"}], "\n", \(DenTA = k52*x4[t] + k53*f6 + k54*x4[t]*f6 + k55*g3 + k56*f6*g3 + k57*x3[t] + k58*x4[t]*x3[t] + g3*x3[t];\), "\n", \(V5f = k59*k50*g3*x3[t]/DenTA;\), "\n", \(V5r = k50*x4[t]*f6/DenTA;\), "\n", RowBox[{\(V5 = V5f - V5r\), ";", \( (*V3f = V3; V3r *= 0.000001; V4f = V4; \ V4r *= 0.000001; V5f = V5; V5r *= 0.000001;*) \), "\n", \(V5a = k51*f6*g3/DenTA\), ";", RowBox[{ StyleBox["(*", "Text"], StyleBox[\(invisible\ TA\ \(reaction : \ F6P + GAP\)\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}], "\n", \(V5b = 0.5*k59*x4[t]*x3[t]/DenTA\), ";", RowBox[{ StyleBox["(*", "Text"], RowBox[{ RowBox[{ StyleBox["invisible", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["TA", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], RowBox[{ StyleBox["reaction", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[":", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], RowBox[{ StyleBox["S7P", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["+", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], RowBox[{ StyleBox["E4P", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["\[IndentingNewLine]", "Text"], StyleBox["Phosphofructokinase", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[" ", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[\(reaction : \ \(\(F6P + ATP\)\(<\)\)\), FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}]}]}]}]}], StyleBox["->", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[\(FBP + ADP\ \((V6)\)\), FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}]}], StyleBox[" ", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox["*)", "Text"]}], "\n", \(k61 = 0.0005;\)}], "\n", \(k62 = 0.2;\), "\n", \(k63 = 0.002;\), "\n", RowBox[{\(Den6 = k61 + k62*x5[t] + f6; V6 = k63*f6/Den6;\), "\n", RowBox[{ StyleBox["(*", "Text"], StyleBox[" ", "Text"], StyleBox[\(Aldolase\ \(reaction : \ \(\(FBP\)\(<\)\)\) -> GAP + DHAP\ \((V7)\)\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}]}], "\[IndentingNewLine]", \(k71 = 10^\(-5\);\), "\n", \(k72 = 0.65;\), "\n", \(k73 = 30000;\), "\n", \(k74 = 0.125;\), "\n", \(k75 = 3400;\), "\n", \(k76 = 3500;\), "\n", \(k77 = 0.3;\), "\n", \(Den7 = k71 + k72*dh + x5[t] + k73*dh*x5[t] + k74*g3 + k75*dh*g3;\), "\n", \(V7r = k76*dh*g3/Den7;\), "\n", \(V7f = k77*x5[t]/Den7;\), "\n", RowBox[{\(V7 = V7f - V7r;\), "\n", RowBox[{ StyleBox["(*", "Text"], StyleBox[" ", "Text"], StyleBox[\(FBPase\ \(reaction : \ \(\(GAP + DHAP\)\(<\)\)\) -> FBP \((V8)\)\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}]}], "\n", \(k81 = 6. \ 10^\(-8\);\), "\n", \(k82 = 1.5\ 10^\(-5\);\), "\n", \(k83 = 14;\), "\n", RowBox[{\(V8 = k81*x5[t]/\((k82 + x5[t] + k83*f6)\);\), "\[IndentingNewLine]", RowBox[{ StyleBox["(*", "Text"], StyleBox[" ", "Text"], StyleBox[\(R5P\ consumption\ for\ RNA\ synthesis \((V9)\)\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}]}], "\n", \(k91 = 0.0072;\), "\n", RowBox[{\(V9 = k91*r5;\), "\n", RowBox[{ StyleBox["(*", "Text"], StyleBox[" ", "Text"], StyleBox[\(GAP\ flux\ to\ the\ Krebs\ cycle \((V10)\)\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}]}], "\n", \(k101 = 10;\), "\n", \(V10 = k101*g3;\), "\n", RowBox[{ RowBox[{ StyleBox["SS", FontColor->RGBColor[1, 0, 0]], "=", RowBox[{"Function", "[", RowBox[{\({NV}\), ",", RowBox[{"{", RowBox[{\(V = 7.5\ 10^\(-3\)\), \( (*\ mL\ cells/mg\ proteines\ *) \), ";", "\n", \(eqn = {\(x0'\)[ t] \[Equal] \((V1*\ NV[\([1]\)] - V2*\ NV[\([2]\)] + V4*\ NV[\([4]\)] + V5*\ NV[\([5]\)] - V6*\((1 + \ NV[\([6]\)])\) + V8*\ NV[\([8]\)])\)/ V, \[IndentingNewLine]\(x1'\)[ t] \[Equal] \((V2*\ NV[\([2]\)] - 2*V3*\ NV[\([3]\)] - V4*\ NV[\([4]\)] - V9*\ NV[\([9]\)])\)/V, \[IndentingNewLine]\(x2'\)[ t] \[Equal] \((V3*\ NV[\([3]\)] + V4*\ NV[\([4]\)] - V5*\ NV[\([5]\)] + 2*V7*\ NV[\([7]\)] - V10*\ NV[\([10]\)])\)/ V, \[IndentingNewLine]\(x3'\)[ t] \[Equal] \((V3*\ NV[\([3]\)] - V5*\ NV[\([5]\)])\)/ V, \ \[IndentingNewLine]\(x4'\)[ t] \[Equal] \((\(-\((V4*\ NV[\([4]\)])\)\) + V5*\ NV[\([5]\)])\)/V, \[IndentingNewLine]\(x5'\)[ t] \[Equal] \((V6 + V6*\ NV[\([6]\)] - V7*\ NV[\([7]\)] - V8*\ NV[\([8]\)])\)/ V, \[IndentingNewLine]x0[0] \[Equal] x0i, x1[0] \[Equal] x1i, x2[0] \[Equal] x2i, x3[0] \[Equal] x3i, x4[0] \[Equal] x4i, x5[0] \[Equal] x5i}\), ";", \(sol = NDSolve[eqn, {x0, x1, x2, x3, x4, x5}, {t, 0, tmax}, Method \[Rule] Automatic, MaxStepSize \[Rule] 0.01]\), ";", "\[IndentingNewLine]", \({{x0i, x1i, x2i, x3i, x4i, x5i}} = \({x0[t], x1[t], x2[t], x3[t], x4[t], x5[t]} /. \ sol\) /. t \[Rule] tmax\), ";", "\[IndentingNewLine]", \({{g6i, r5i, s7i, g3i, f6i, e4i, dhi, xyi}} = \({g6, r5, x3[t], g3, f6, x4[t], dh, xy} /. sol\) /. t \[Rule] tmax\), ";", "\[IndentingNewLine]", \(tcon = {g6i, r5i, s7i, g3i, f6i}*1000\), ";", "\[IndentingNewLine]", \({{V3a0, V3b0, V3c0, V3f0, V3r0, V4f0, V4r0, V5a0, V5b0, V5f0, V5r0, V20, V60, V70, V80, V90, V100}} = \({V3a*NV[\([11]\)], V3b*NV[\([12]\)], V3c*NV[\([13]\)], V3f*NV[\([3]\)], V3r*NV[\([3]\)], V4f*NV[\([4]\)], V4r*NV[\([4]\)], V5a*NV[\([14]\)], V5b*NV[\([15]\)], V5f*NV[\([5]\)], V5r*NV[\([5]\)], V2*NV[\([2]\)], V6*\((1 + NV[\([6]\)])\), V7*NV[\([7]\)], V8*NV[\([8]\)], V9*NV[\([9]\)], V10*NV[\([10]\)]} /. sol\) /. t \[Rule] tmax\), ";", "\[IndentingNewLine]", \(tkxg = \(\(\(V3a0/xyi\)/g3i\)/V\)/ 1000\), ";", RowBox[{ StyleBox["(*", "Text"], StyleBox[\(recalculation\ of\ the\ fluxes\ obtaining\ the\ \ values\ used\ for\ computing\ the\ label\ distribution\), "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox[" ", "Text", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["*)", "Text"]}], "\[IndentingNewLine]", \(tkfe = \(\(\(V3b0/f6i\)/e4i\)/V\)/ 1000\), ";", "\[IndentingNewLine]", \(tksr = \(\(\(V3c0/s7i\)/r5i\)/V\)/ 1000\), ";", "\[IndentingNewLine]", \(tagf = \(\(\(V5a0/g3i\)/f6i\)/V\)/ 1000\), ";", "\[IndentingNewLine]", \(tase = \(\(\(V5b0/s7i\)/e4i\)/V\)/ 1000\), ";", "\[IndentingNewLine]", \(tk1f = \(\(\(V3f0/r5i\)/xyi\)/V\)/ 1000\), " ", \( (*\(mM\^\(-1\)\) min\^\(-1\)*) \), ";", "\[IndentingNewLine]", \(tk1r = \(\(\(V3r0/s7i\)/g3i\)/V\)/ 1000\), ";", "\[IndentingNewLine]", \(tk2f = \(\(\(V4f0/xyi\)/e4i\)/V\)/ 1000\), ";", "\[IndentingNewLine]", \(tk2r = \(\(\(V4r0/f6i\)/g3i\)/V\)/ 1000\), ";", "\[IndentingNewLine]", \(taf = \(\(\(V5f0/s7i\)/g3i\)/V\)/ 1000\), ";", "\[IndentingNewLine]", \(tar = \(\(\(V5r0/e4i\)/f6i\)/V\)/ 1000\), ";", "\[IndentingNewLine]", \(teff = \(V100/g3i\)/V\), ";", "\[IndentingNewLine]", \(gng = \(\(\(V80/g3i\)/dhi\)/V\)/ 1000\), ";", "\[IndentingNewLine]", \(gpdh = \(V20/g6i\)/V\), ";", "\[IndentingNewLine]", \(pfk = \(V60/f6i\)/V\), ";", "\[IndentingNewLine]", \(reff = \(V90/r5i\)/V\), ";", "\[IndentingNewLine]", \(v0 = V1*NV[\([1]\)]*1000/V\), ";", "\[IndentingNewLine]", \(flux = {tkxg, tkfe, tksr, tagf, tase, tk1f, tk1r, tk2f, tk2r, taf, tar, teff, gng, gpdh, pfk, reff, v0}\)}], 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