- Author:
- Randall Britten <r.britten@auckland.ac.nz>
- Date:
- 2013-12-04 15:26:01+13:00
- Desc:
- Working nicely now. Shows contour plot, 3D plot and individual time series of each reactant/product (i.e. reaction species), as well as final value.
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/178/rawfile/27d3423b2b1906f3deeaa8b1e680bcc936503fe5/pH Homeostasis.nb
(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Mathematica 9.0' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 157, 7]
NotebookDataLength[ 24376, 627]
NotebookOptionsPosition[ 23354, 593]
NotebookOutlinePosition[ 23709, 609]
CellTagsIndexPosition[ 23666, 606]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[
RowBox[{
RowBox[{"initialPh", "=", "7.4"}], ";"}]], "Input",
CellChangeTimes->{{3.588028935288416*^9, 3.588028947630732*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"Hmolar", "[", "initialPh_", "]"}], ":=",
SuperscriptBox["10",
RowBox[{"-", "initialPh"}]]}], ";"}]], "Input",
CellChangeTimes->{
3.588026866945672*^9, 3.588027345006266*^9, {3.588027526578341*^9,
3.588027528457705*^9}, {3.5880275950477552`*^9, 3.588027623943098*^9}, {
3.588028951319806*^9, 3.588028955827985*^9}, {3.588029035381466*^9,
3.5880290360526953`*^9}, {3.594926481999916*^9, 3.594926490448428*^9},
3.594926838297065*^9}],
Cell[BoxData[
RowBox[{
RowBox[{"initialCO2mmHg", "=", "40"}], ";"}]], "Input",
CellChangeTimes->{{3.588028961701105*^9, 3.5880289701902637`*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"solubilityMolarPerMmhg", "=", "0.03"}], ";"}]], "Input",
CellChangeTimes->{{3.588011381426174*^9, 3.5880113944215317`*^9}, {
3.588029074748098*^9, 3.588029092014204*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"CO2molar", "[", "CO2mmHg_", "]"}], ":=",
FractionBox[
RowBox[{"CO2mmHg", " ", "solubilityMolarPerMmhg"}], "1000"]}],
";"}]], "Input",
CellChangeTimes->{
3.588026852226532*^9, 3.588026943288953*^9, {3.5880275452983923`*^9,
3.58802754682507*^9}, {3.588027627063496*^9, 3.588027635999963*^9}, {
3.588028977886209*^9, 3.588029022197158*^9}, {3.588030010813973*^9,
3.5880300116060743`*^9}, {3.588032567434842*^9, 3.58803257466298*^9}, {
3.594926783617146*^9, 3.5949268167756987`*^9}, 3.594926850790475*^9}],
Cell[BoxData[
RowBox[{
RowBox[{"pKfromTextbook", "=", "6.1"}], ";"}]], "Input",
CellChangeTimes->{{3.588028556376622*^9, 3.58802856809615*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"KfromTextbook", "=",
SuperscriptBox["10",
RowBox[{"-", "pKfromTextbook"}]]}], ";"}]], "Input",
CellChangeTimes->{{3.588012103263454*^9, 3.588012122807251*^9},
3.588012563011053*^9, 3.588029064612894*^9, {3.5880300336289062`*^9,
3.588030043062311*^9}, 3.588033492664633*^9, 3.588034881261235*^9}],
Cell[BoxData[
RowBox[{
RowBox[{"initialCO2molar", "=",
RowBox[{"CO2molar", "[", "initialCO2mmHg", "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.5949268814060183`*^9, 3.5949268954061327`*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"HCO3molar", "[",
RowBox[{"CO2molar_", ",", "pH_"}], "]"}], ":=",
RowBox[{"CO2molar", " ",
FractionBox["KfromTextbook",
SuperscriptBox["10",
RowBox[{"-", "pH"}]]]}]}], ";"}]], "Input",
CellChangeTimes->{{3.588035465787499*^9, 3.588035507516808*^9}, {
3.588035570662325*^9, 3.588035584396131*^9}, {3.5951103664645042`*^9,
3.595110425042737*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"initialHCO3molar", "=",
RowBox[{"HCO3molar", "[",
RowBox[{"initialCO2molar", ",", "initialPh"}], "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.595110431818136*^9, 3.5951104619138803`*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"pCO2", "[",
RowBox[{"pH_", ",", "HCO3_", ",", "K_"}], "]"}], ":=",
RowBox[{
FractionBox[
SuperscriptBox["10",
RowBox[{"-", "pH"}]], "K"],
FractionBox["HCO3", "solubilityMolarPerMmhg"]}]}], ";"}]], "Input",
CellChangeTimes->{{3.588011527879652*^9, 3.588011574290142*^9}, {
3.588011605456628*^9, 3.588011648639924*^9}, {3.5880119395225277`*^9,
3.588011941657003*^9}, {3.588029099237656*^9, 3.588029102004583*^9}, {
3.588029742140643*^9, 3.588029745588648*^9}, {3.5880298638730307`*^9,
3.588029870777545*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"initialHmolar", "=",
RowBox[{"Hmolar", "[", "initialPh", "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.594926909677643*^9, 3.594926920275756*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"KbyInitial", "=",
FractionBox[
RowBox[{"initialHmolar", " ", "initialHCO3molar"}], "initialCO2molar"]}],
";"}]], "Input",
CellChangeTimes->{{3.5880276531793737`*^9, 3.5880276717256613`*^9}, {
3.588027720485572*^9, 3.588027766262341*^9}, 3.588028516161331*^9, {
3.588029040884555*^9, 3.5880290519690933`*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"pKbyInitial", " ", "=", " ",
RowBox[{"-",
RowBox[{"Log10", "[", "KbyInitial", "]"}]}]}], ";"}]], "Input",
CellChangeTimes->{{3.588027774043713*^9, 3.588027798668395*^9},
3.588028524865922*^9}],
Cell[BoxData[
RowBox[{"contourPlot1", " ", "=",
RowBox[{"ContourPlot", "[",
RowBox[{
RowBox[{"pCO2", "[",
RowBox[{"pH", ",", "HCO3", ",", "KfromTextbook"}], "]"}], ",",
RowBox[{"{",
RowBox[{"pH", ",", "6.8", ",", "8"}], "}"}], ",",
RowBox[{"{",
RowBox[{"HCO3", ",", "0", ",", "100"}], "}"}], ",",
"\[IndentingNewLine]",
RowBox[{"Contours", "\[Rule]",
RowBox[{"{",
RowBox[{"20", ",", "40", ",", "80"}], "}"}]}]}], "\[IndentingNewLine]",
"]"}]}]], "Input",
CellChangeTimes->{{3.588011703454999*^9, 3.5880117174087048`*^9}, {
3.5880117501903267`*^9, 3.588011883386302*^9}, {3.588012489020569*^9,
3.588012525930511*^9}, {3.58802796882439*^9, 3.5880279848488283`*^9}, {
3.5880303452699127`*^9, 3.588030350357877*^9}, {3.5880322855350943`*^9,
3.5880322876371603`*^9}, {3.5880324327627296`*^9, 3.588032437474824*^9}, {
3.588033246047154*^9, 3.5880332502935057`*^9}, {3.595111178599168*^9,
3.595111183189722*^9}}],
Cell[BoxData[
RowBox[{"plot3d1", "=",
RowBox[{"Plot3D", "[",
RowBox[{
RowBox[{"pCO2", "[",
RowBox[{"pH", ",", "HCO3", ",", "KfromTextbook"}], "]"}], ",",
RowBox[{"{",
RowBox[{"pH", ",", "6.8", ",", "8"}], "}"}], ",",
RowBox[{"{",
RowBox[{"HCO3", ",", "0", ",", "100"}], "}"}], ",",
"\[IndentingNewLine]",
RowBox[{"Mesh", "\[Rule]", "None"}], ",", "\[IndentingNewLine]",
RowBox[{"ColorFunction", "\[Rule]", "Hue"}]}], "\[IndentingNewLine]",
"]"}]}]], "Input",
CellChangeTimes->{{3.59492488658932*^9, 3.5949248956597137`*^9}, {
3.594924927011917*^9, 3.594924933402796*^9}, {3.594925079520697*^9,
3.594925080610795*^9}, {3.595111311589692*^9, 3.59511131600488*^9}}],
Cell[BoxData[
RowBox[{"ContourPlot", "[",
RowBox[{
RowBox[{"pCO2", "[",
RowBox[{"pH", ",", "HCO3", ",", "KbyInitial"}], "]"}], ",",
RowBox[{"{",
RowBox[{"pH", ",", "6.8", ",", "8"}], "}"}], ",",
RowBox[{"{",
RowBox[{"HCO3", ",", "0", ",", "100"}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"Contours", "\[Rule]",
RowBox[{"{",
RowBox[{"20", ",", "40", ",", "80"}], "}"}]}]}], "\[IndentingNewLine]",
"]"}]], "Input",
CellChangeTimes->{{3.588011703454999*^9, 3.5880117174087048`*^9}, {
3.5880117501903267`*^9, 3.588011883386302*^9}, {3.588012489020569*^9,
3.588012525930511*^9}, {3.58802796882439*^9, 3.5880279848488283`*^9}, {
3.5880303452699127`*^9, 3.5880303962599163`*^9}, {3.58803326679*^9,
3.588033269893515*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"J", "[",
RowBox[{"CO2_", ",", "H_", ",", "HCO3_", ",", "K_"}], "]"}], ":=",
"\[IndentingNewLine]",
RowBox[{"With", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"kb", "=", "1"}], ",",
RowBox[{"kf", "=", "K"}]}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{
RowBox[{"kf", " ", "CO2"}], "-",
RowBox[{"kb", " ", "H", " ", "HCO3"}]}]}], "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.588018786296715*^9, 3.588018834936934*^9}, {
3.58803064993417*^9, 3.588030702244219*^9}, {3.588030736556336*^9,
3.5880307392600393`*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"s2", "[",
RowBox[{
"initialHmolar_", ",", "initialCO2molar_", ",", "initialHCO3molar_", ",",
"timeSpan_"}], "]"}], ":=",
RowBox[{"NDSolve", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"H", "'"}], "[", "t", "]"}], "\[Equal]",
RowBox[{"J", "[",
RowBox[{
RowBox[{"CO2", "[", "t", "]"}], ",",
RowBox[{"H", "[", "t", "]"}], ",",
RowBox[{"HCO3", "[", "t", "]"}], ",", "KfromTextbook"}], "]"}]}],
",", "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"HCO3", "'"}], "[", "t", "]"}], "==",
RowBox[{"J", "[",
RowBox[{
RowBox[{"CO2", "[", "t", "]"}], ",",
RowBox[{"H", "[", "t", "]"}], ",",
RowBox[{"HCO3", "[", "t", "]"}], ",", "KfromTextbook"}], "]"}]}],
",", "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"CO2", "'"}], "[", "t", "]"}], "\[Equal]", "0"}], ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{"H", "[", "0", "]"}], "\[Equal]", "initialHmolar"}], ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{"CO2", "[", "0", "]"}], "\[Equal]", "initialCO2molar"}], ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{"HCO3", "[", "0", "]"}], "\[Equal]", "initialHCO3molar"}]}],
"\[IndentingNewLine]", "}"}], ",", "\[IndentingNewLine]",
RowBox[{"{",
RowBox[{"H", ",", "HCO3", ",", "CO2"}], "}"}], ",",
RowBox[{"{",
RowBox[{"t", ",", "0", ",", "timeSpan"}], "}"}]}], "]"}]}],
";"}]], "Input",
CellChangeTimes->{{3.588018715475564*^9, 3.5880187162902117`*^9}, {
3.588018840234191*^9, 3.588018998732294*^9}, {3.588019038114986*^9,
3.5880191392578297`*^9}, {3.58801919229058*^9, 3.5880192037189703`*^9}, {
3.5880192708295116`*^9, 3.5880193124369717`*^9}, 3.588019393691187*^9, {
3.588019780866252*^9, 3.588019781165984*^9}, {3.5880267892763033`*^9,
3.588026813484517*^9}, {3.588027037873416*^9, 3.5880270428576*^9}, {
3.588027279146137*^9, 3.588027321720139*^9}, {3.5880273575433826`*^9,
3.5880273907936583`*^9}, {3.588027420862603*^9, 3.5880274750777607`*^9}, {
3.5880280434626217`*^9, 3.5880280573032427`*^9}, {3.5880291201567917`*^9,
3.588029129520361*^9}, {3.588029918088847*^9, 3.5880299189117603`*^9}, {
3.588030715718298*^9, 3.588030723876318*^9}, {3.5949252432218523`*^9,
3.594925272156485*^9}, {3.594926658893195*^9, 3.594926659116704*^9}, {
3.5949275232173157`*^9, 3.594927529706739*^9}, {3.595112563786137*^9,
3.5951125663317823`*^9}, 3.59511261916051*^9}],
Cell[BoxData[
RowBox[{"Manipulate", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"With", "[",
RowBox[{
RowBox[{"{",
RowBox[{"s3", "=",
RowBox[{"s2", "[",
RowBox[{
RowBox[{"Hmolar", "[", "initialPh", "]"}], ",",
RowBox[{"CO2molar", "[", "initialCO2mmHg", "]"}], ",",
"initialHCO3molar", ",", "timeSpan"}], "]"}]}], "}"}], ",",
"\[IndentingNewLine]",
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"{",
RowBox[{"-",
RowBox[{"Log10", "[",
RowBox[{"H", "[", "t", "]"}], "]"}]}], "}"}], "/.", "s3"}],
"]"}], ",",
RowBox[{"{",
RowBox[{"t", ",", "0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"{",
RowBox[{"1000", " ", "solubilityMolarPerMmhg", " ",
RowBox[{"CO2", "[", "t", "]"}]}], "}"}], "/.", "s3"}], "]"}],
",",
RowBox[{"{",
RowBox[{"t", ",", "0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"{",
RowBox[{"1000", " ",
RowBox[{"HCO3", "[", "t", "]"}]}], "}"}], "/.", "s3"}], "]"}],
",",
RowBox[{"{",
RowBox[{"t", ",", "0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"ParametricPlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"-",
RowBox[{"Log10", "[",
RowBox[{"H", "[", "t", "]"}], "]"}]}], ",",
RowBox[{"1000", " ",
RowBox[{"HCO3", "[", "t", "]"}]}]}], "}"}], "/.", "s3"}], "]"}],
",",
RowBox[{"{",
RowBox[{"t", ",", "0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"PlotRange", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"6.8", ",", "8.0"}], "}"}], ",",
RowBox[{"{",
RowBox[{"0", ",", "100"}], "}"}]}], "}"}]}], ",",
RowBox[{"AspectRatio", "\[Rule]", "1"}], ",", "\[IndentingNewLine]",
RowBox[{"ColorFunction", "\[Rule]",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"ColorData", "[", "\"\<Rainbow\>\"", "]"}], "[", "#3",
"]"}], "&"}], ")"}]}], ",",
RowBox[{"MaxRecursion", "\[Rule]", "0"}], ",",
RowBox[{"PlotStyle", "\[Rule]", "Thick"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{"-",
RowBox[{"Log10", "[",
RowBox[{"H", "[", "timeSpan", "]"}], "]"}]}], ",",
"\[IndentingNewLine]",
RowBox[{"HCO3", "[", "timeSpan", "]"}]}], "\[IndentingNewLine]",
"}"}], "/.", "s3"}]}], "\[IndentingNewLine]", "}"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"initialPh", ",", "7.4"}], "}"}], ",", " ", "7.0", ",", " ",
"7.8"}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"initialCO2mmHg", ",", "40"}], "}"}], ",", " ", "20", ",", " ",
"80"}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"{",
RowBox[{"timeSpan", ",", " ", "100", ",", "1000"}], "}"}]}],
"\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.5880193595553627`*^9, 3.588019419808826*^9}, {
3.588019586814019*^9, 3.588019640555421*^9}, {3.588019692218618*^9,
3.588019694042286*^9}, {3.588019750250059*^9, 3.588019813783346*^9}, {
3.5880299242152042`*^9, 3.5880299245991173`*^9}, 3.588033297268264*^9, {
3.594925306922489*^9, 3.59492536201825*^9}, {3.59492539337101*^9,
3.5949253975291853`*^9}, {3.594926391490402*^9, 3.594926459456328*^9}, {
3.594926522813073*^9, 3.5949265682890987`*^9}, 3.594926628374145*^9, {
3.59492666306857*^9, 3.594926668628605*^9}, {3.594926733742449*^9,
3.5949267619144793`*^9}, {3.594927034677702*^9, 3.594927065614521*^9}, {
3.594927117626059*^9, 3.5949271438758173`*^9}, {3.594927183921032*^9,
3.5949271912485037`*^9}, {3.594927384621303*^9, 3.594927469386701*^9}, {
3.5949275163471622`*^9, 3.594927540930584*^9}, {3.5949400867383823`*^9,
3.594940134483419*^9}, {3.594940185087165*^9, 3.5949402150775623`*^9}, {
3.594940248772423*^9, 3.594940323642118*^9}, {3.594940361721167*^9,
3.594940415730435*^9}, {3.594940469056479*^9, 3.594940470191268*^9}, {
3.5949405389347*^9, 3.594940539366806*^9}, {3.594940594550515*^9,
3.594940598779985*^9}, {3.594942331283164*^9, 3.594942354900467*^9},
3.594943631098691*^9, {3.595109709129572*^9, 3.59510970987253*^9}, {
3.5951097892002773`*^9, 3.595109807070904*^9}, {3.5951099593207006`*^9,
3.595109960739943*^9}}],
Cell[BoxData[
RowBox[{"Manipulate", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"With", "[",
RowBox[{
RowBox[{"{",
RowBox[{"s3", "=",
RowBox[{"s2", "[",
RowBox[{
RowBox[{"Hmolar", "[",
RowBox[{"p", "[",
RowBox[{"[", "1", "]"}], "]"}], "]"}], ",",
RowBox[{"CO2molar", "[", "initialCO2mmHg", "]"}], ",",
RowBox[{
RowBox[{"p", "[",
RowBox[{"[", "2", "]"}], "]"}], "/", "1000"}], ",", "timeSpan"}],
"]"}]}], "}"}], ",", "\[IndentingNewLine]", "\[IndentingNewLine]",
RowBox[{"{",
RowBox[{
RowBox[{"Show", "[",
RowBox[{"contourPlot1", ",",
RowBox[{"ParametricPlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"-",
RowBox[{"Log10", "[",
RowBox[{"H", "[", "t", "]"}], "]"}]}], ",",
RowBox[{"1000", " ",
RowBox[{"HCO3", "[", "t", "]"}]}]}], "}"}], "/.", "s3"}],
"]"}], ",",
RowBox[{"{",
RowBox[{"t", ",", "0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"PlotRange", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"6.8", ",", "8.0"}], "}"}], ",",
RowBox[{"{",
RowBox[{"0", ",", "100"}], "}"}]}], "}"}]}], ",",
RowBox[{"AspectRatio", "\[Rule]", "1"}], ",",
"\[IndentingNewLine]",
RowBox[{"ColorFunction", "\[Rule]",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"ColorData", "[", "\"\<Rainbow\>\"", "]"}], "[", "#3",
"]"}], "&"}], ")"}]}], ",",
RowBox[{"MaxRecursion", "\[Rule]", "0"}], ",",
RowBox[{"PlotStyle", "\[Rule]", "Thick"}]}], "]"}]}],
"\[IndentingNewLine]", "]"}], ",", "\[IndentingNewLine]",
RowBox[{"Show", "[",
RowBox[{"plot3d1", ",",
RowBox[{"ParametricPlot3D", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"-",
RowBox[{"Log10", "[",
RowBox[{"H", "[", "t", "]"}], "]"}]}], ",",
RowBox[{"10000",
RowBox[{"CO2", "[", "t", "]"}]}], ",",
RowBox[{"10000", " ",
RowBox[{"HCO3", "[", "t", "]"}]}]}], "}"}], "/.", "s3"}],
"]"}], ",",
RowBox[{"{",
RowBox[{"t", ",", "0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"PlotRange", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"6.8", ",", "8.0"}], "}"}], ",",
RowBox[{"{",
RowBox[{"0", ",", "100"}], "}"}]}], "}"}]}], ",",
"\[IndentingNewLine]",
RowBox[{"ColorFunction", "\[Rule]",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"ColorData", "[", "\"\<Rainbow\>\"", "]"}], "[", "#3",
"]"}], "&"}], ")"}]}], ",",
RowBox[{"MaxRecursion", "\[Rule]", "0"}], ",",
RowBox[{"PlotStyle", "\[Rule]", "Thick"}]}], "]"}]}],
"\[IndentingNewLine]", "]"}], ",", "\[IndentingNewLine]",
"\[IndentingNewLine]",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"{",
RowBox[{"-",
RowBox[{"Log10", "[",
RowBox[{"H", "[", "t", "]"}], "]"}]}], "}"}], "/.", "s3"}],
"]"}], ",",
RowBox[{"{",
RowBox[{"t", ",", "0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"PlotRange", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"{",
RowBox[{"6.8", ",", "8.0"}], "}"}]}], "}"}]}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"{",
RowBox[{"1000", " ", "solubilityMolarPerMmhg", " ",
RowBox[{"CO2", "[", "t", "]"}]}], "}"}], "/.", "s3"}], "]"}],
",",
RowBox[{"{",
RowBox[{"t", ",", "0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"PlotRange", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"{",
RowBox[{"0", ",", "400"}], "}"}]}], "}"}]}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"{",
RowBox[{"1000", " ",
RowBox[{"HCO3", "[", "t", "]"}]}], "}"}], "/.", "s3"}], "]"}],
",",
RowBox[{"{",
RowBox[{"t", ",", "0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"PlotRange", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",", "timeSpan"}], "}"}], ",",
RowBox[{"{",
RowBox[{"0", ",", "100"}], "}"}]}], "}"}]}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{"-",
RowBox[{"Log10", "[",
RowBox[{"H", "[", "timeSpan", "]"}], "]"}]}], ",",
"\[IndentingNewLine]",
RowBox[{"1000",
RowBox[{"HCO3", "[", "timeSpan", "]"}]}]}], "\[IndentingNewLine]",
"}"}], "/.", "s3"}]}], "}"}]}], "\[IndentingNewLine]", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"p", ",", " ",
RowBox[{"{",
RowBox[{"7.4", ",", "23"}], "}"}]}], "}"}], ",", " ", "Locator"}],
"}"}], ",", "\[IndentingNewLine]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"initialCO2mmHg", ",", "40"}], "}"}], ",", " ", "20", ",", " ",
"80"}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"{",
RowBox[{"timeSpan", ",", " ", "100", ",", "1000"}], "}"}]}],
"\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.5951100561015167`*^9, 3.595110109951613*^9}, {
3.595110234529901*^9, 3.595110285353689*^9}, {3.595110885327067*^9,
3.59511089952022*^9}, {3.595110968925613*^9, 3.5951109724845743`*^9}, {
3.595111238382983*^9, 3.5951112573599854`*^9}, {3.595111532497603*^9,
3.5951115445638227`*^9}, {3.595111617736834*^9, 3.595111618551908*^9}, {
3.595111703259441*^9, 3.595111723755012*^9}, 3.59511182987678*^9, {
3.595111878344162*^9, 3.595111892097144*^9}, {3.595112015885467*^9,
3.595112072733914*^9}, {3.595112227606407*^9, 3.595112228350016*^9}, {
3.5951122713045797`*^9, 3.595112337876027*^9}, {3.5951123761647177`*^9,
3.595112407603476*^9}, {3.595112500096807*^9, 3.595112500848219*^9}}]
},
WindowSize->{1440, 852},
WindowMargins->{{0, Automatic}, {Automatic, 0}},
FrontEndVersion->"9.0 for Mac OS X x86 (32-bit, 64-bit Kernel) (January 25, \
2013)",
StyleDefinitions->"Default.nb"
]
(* End of Notebook Content *)
(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[557, 20, 143, 3, 28, "Input"],
Cell[703, 25, 504, 11, 33, "Input"],
Cell[1210, 38, 149, 3, 28, "Input"],
Cell[1362, 43, 208, 4, 28, "Input"],
Cell[1573, 49, 576, 12, 49, "Input"],
Cell[2152, 63, 147, 3, 28, "Input"],
Cell[2302, 68, 348, 7, 32, "Input"],
Cell[2653, 77, 200, 4, 28, "Input"],
Cell[2856, 83, 423, 11, 50, "Input"],
Cell[3282, 96, 234, 5, 28, "Input"],
Cell[3519, 103, 594, 14, 53, "Input"],
Cell[4116, 119, 187, 4, 28, "Input"],
Cell[4306, 125, 361, 8, 49, "Input"],
Cell[4670, 135, 241, 6, 28, "Input"],
Cell[4914, 143, 988, 21, 63, "Input"],
Cell[5905, 166, 727, 16, 80, "Input"],
Cell[6635, 184, 776, 17, 63, "Input"],
Cell[7414, 203, 654, 17, 80, "Input"],
Cell[8071, 222, 2734, 60, 182, "Input"],
Cell[10808, 284, 5396, 126, 301, "Input"],
Cell[16207, 412, 7143, 179, 386, "Input"]
}
]
*)
(* End of internal cache information *)
