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Goodwin1963.cps
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<?xml version="1.0" encoding="UTF-8"?>
<!-- generated with COPASI 4.39 (Build 272) (http://www.copasi.org) at 2023-04-25T15:07:01Z -->
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alpha*mRNA
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<dcterms:description>Goodwin BC (1963) Temporal organization in cells; a dynamic theory of cellular control processes. London: Academic Press.</dcterms:description>
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<dcterms:description>Goodwin BC (1965) Oscillatory behavior in enzymatic control processes. Adv. Enzyme Reg. 3:425–438</dcterms:description>
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<dcterms:W3CDTF>2023-04-24T01:46:32Z</dcterms:W3CDTF>
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<vCard:EMAIL>[email protected]</vCard:EMAIL>
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<rdf:Description>
<vCard:Family>Mendes</vCard:Family>
<vCard:Given>Pedro</vCard:Given>
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<vCard:Orgname>University of Connecticut School of Medicine</vCard:Orgname>
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<body xmlns="http://www.w3.org/1999/xhtml"><h1>Goodwin oscillator</h1>
<p>This is the formulation of the Goodwin oscillator with two variables. It was first described in his 1963 book <i>Temporal organization in cells; a dynamic theory of cellular control processes</i> and describes the negative feedback regulation of a gene by its dowonstream products. The variable X in the model corresponds to the mRNA, and the variable Y corresponds to the protein. Both X and Y are degraded at constant rates. The model behaves as a harmonic oscillator. The resulting reaction network can be visualized as:</p>
<pre>
--> X -->
T |
| v
| --> Y -->
+-------+
</pre>
<p>A third variable M (metabolite) was included in the formulation, which would be the direct repressor of the gene, but Goodwin removed it by applying the quasi-steady state approximation so that an analytical solution could be obtained.</p>
<p>The parameter values used here are those described in Goodwin's 1965 paper (Goodwin, 1965, Adv. Enz. Reg. 3:425-437), where this model was analyzed through analog computer simulations. Note that the variables X and Y can take negative values and in this case they can be interpreted as the deviation from the steady state. There is indeed a steady state at X=0, Y=0, which has marginal stability (a zero eigenvalue of the Jacobian).</p>
<p style="font-size:small"><b>CC0 1.0 Universal</b>: To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission. Please refer to <a href="http://creativecommons.org/publicdomain/zero/1.0/" title="Creative Commons CC0">CC0 Public Domain Dedication</a> for more information.</p></body>
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<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Values[a]" value="72" type="ModelValue" simulationType="fixed"/>
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Values[A]" value="36" type="ModelValue" simulationType="fixed"/>
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Values[k]" value="1" type="ModelValue" simulationType="fixed"/>
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Values[b]" value="2" type="ModelValue" simulationType="fixed"/>
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Values[alpha]" value="1" type="ModelValue" simulationType="fixed"/>
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Values[beta]" value="0" type="ModelValue" simulationType="fixed"/>
</ModelParameterGroup>
<ModelParameterGroup cn="String=Kinetic Parameters" type="Group">
<ModelParameterGroup cn="CN=Root,Model=Goodwin oscillator,Vector=Reactions[R1]" type="Reaction">
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Reactions[R1],ParameterGroup=Parameters,Parameter=a" value="72" type="ReactionParameter" simulationType="assignment">
<InitialExpression>
<CN=Root,Model=Goodwin oscillator,Vector=Values[a],Reference=InitialValue>
</InitialExpression>
</ModelParameter>
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Reactions[R1],ParameterGroup=Parameters,Parameter=A" value="36" type="ReactionParameter" simulationType="assignment">
<InitialExpression>
<CN=Root,Model=Goodwin oscillator,Vector=Values[A],Reference=InitialValue>
</InitialExpression>
</ModelParameter>
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Reactions[R1],ParameterGroup=Parameters,Parameter=k" value="1" type="ReactionParameter" simulationType="assignment">
<InitialExpression>
<CN=Root,Model=Goodwin oscillator,Vector=Values[k],Reference=InitialValue>
</InitialExpression>
</ModelParameter>
</ModelParameterGroup>
<ModelParameterGroup cn="CN=Root,Model=Goodwin oscillator,Vector=Reactions[R2]" type="Reaction">
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Reactions[R2],ParameterGroup=Parameters,Parameter=v" value="2" type="ReactionParameter" simulationType="assignment">
<InitialExpression>
<CN=Root,Model=Goodwin oscillator,Vector=Values[b],Reference=InitialValue>
</InitialExpression>
</ModelParameter>
</ModelParameterGroup>
<ModelParameterGroup cn="CN=Root,Model=Goodwin oscillator,Vector=Reactions[R3]" type="Reaction">
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Reactions[R3],ParameterGroup=Parameters,Parameter=alpha" value="1" type="ReactionParameter" simulationType="assignment">
<InitialExpression>
<CN=Root,Model=Goodwin oscillator,Vector=Values[alpha],Reference=InitialValue>
</InitialExpression>
</ModelParameter>
</ModelParameterGroup>
<ModelParameterGroup cn="CN=Root,Model=Goodwin oscillator,Vector=Reactions[R4]" type="Reaction">
<ModelParameter cn="CN=Root,Model=Goodwin oscillator,Vector=Reactions[R4],ParameterGroup=Parameters,Parameter=v" value="0" type="ReactionParameter" simulationType="assignment">
<InitialExpression>
<CN=Root,Model=Goodwin oscillator,Vector=Values[beta],Reference=InitialValue>
</InitialExpression>
</ModelParameter>
</ModelParameterGroup>
</ModelParameterGroup>
</ModelParameterSet>
</ListOfModelParameterSets>
<StateTemplate>
<StateTemplateVariable objectReference="Model_0"/>
<StateTemplateVariable objectReference="Metabolite_0"/>
<StateTemplateVariable objectReference="Metabolite_1"/>
<StateTemplateVariable objectReference="Compartment_0"/>
<StateTemplateVariable objectReference="ModelValue_0"/>
<StateTemplateVariable objectReference="ModelValue_1"/>
<StateTemplateVariable objectReference="ModelValue_2"/>
<StateTemplateVariable objectReference="ModelValue_3"/>
<StateTemplateVariable objectReference="ModelValue_4"/>
<StateTemplateVariable objectReference="ModelValue_5"/>
</StateTemplate>
<InitialState type="initialState">
0 7 -10 1 72 36 1 2 1 0
</InitialState>
</Model>
<ListOfTasks>
<Task key="Task_13" name="Steady-State" type="steadyState" scheduled="false" updateModel="false">
<Report reference="Report_10" target="" append="1" confirmOverwrite="1"/>
<Problem>
<Parameter name="JacobianRequested" type="bool" value="1"/>
<Parameter name="StabilityAnalysisRequested" type="bool" value="1"/>
</Problem>
<Method name="Enhanced Newton" type="EnhancedNewton">
<Parameter name="Resolution" type="unsignedFloat" value="1.0000000000000001e-09"/>
<Parameter name="Derivation Factor" type="unsignedFloat" value="0.001"/>
<Parameter name="Use Newton" type="bool" value="1"/>
<Parameter name="Use Integration" type="bool" value="0"/>
<Parameter name="Use Back Integration" type="bool" value="1"/>
<Parameter name="Accept Negative Concentrations" type="bool" value="1"/>
<Parameter name="Iteration Limit" type="unsignedInteger" value="50"/>
<Parameter name="Maximum duration for forward integration" type="unsignedFloat" value="1000000000"/>
<Parameter name="Maximum duration for backward integration" type="unsignedFloat" value="1000000"/>
<Parameter name="Target Criterion" type="string" value="Distance and Rate"/>
</Method>
</Task>
<Task key="Task_12" name="Time-Course" type="timeCourse" scheduled="false" updateModel="false">
<Report reference="Report_9" target="" append="1" confirmOverwrite="1"/>
<Problem>
<Parameter name="AutomaticStepSize" type="bool" value="0"/>
<Parameter name="StepNumber" type="unsignedInteger" value="2000"/>
<Parameter name="StepSize" type="float" value="0.14999999999999999"/>
<Parameter name="Duration" type="float" value="300"/>
<Parameter name="TimeSeriesRequested" type="bool" value="1"/>
<Parameter name="OutputStartTime" type="float" value="0"/>
<Parameter name="Output Event" type="bool" value="0"/>
<Parameter name="Start in Steady State" type="bool" value="0"/>
<Parameter name="Use Values" type="bool" value="0"/>
<Parameter name="Values" type="string" value=""/>
</Problem>
<Method name="Deterministic (LSODA)" type="Deterministic(LSODA)">
<Parameter name="Integrate Reduced Model" type="bool" value="0"/>
<Parameter name="Relative Tolerance" type="unsignedFloat" value="9.9999999999999995e-07"/>
<Parameter name="Absolute Tolerance" type="unsignedFloat" value="9.9999999999999998e-13"/>
<Parameter name="Max Internal Steps" type="unsignedInteger" value="100000"/>
<Parameter name="Max Internal Step Size" type="unsignedFloat" value="0"/>
</Method>
</Task>
<Task key="Task_11" name="Scan" type="scan" scheduled="false" updateModel="false">
<Problem>
<Parameter name="Subtask" type="unsignedInteger" value="1"/>
<ParameterGroup name="ScanItems">
</ParameterGroup>
<Parameter name="Output in subtask" type="bool" value="1"/>
<Parameter name="Adjust initial conditions" type="bool" value="0"/>
<Parameter name="Continue on Error" type="bool" value="0"/>
</Problem>
<Method name="Scan Framework" type="ScanFramework">
</Method>
</Task>
<Task key="Task_10" name="Elementary Flux Modes" type="fluxMode" scheduled="false" updateModel="false">
<Report reference="Report_8" target="" append="1" confirmOverwrite="1"/>
<Problem>
</Problem>
<Method name="EFM Algorithm" type="EFMAlgorithm">
</Method>
</Task>
<Task key="Task_9" name="Optimization" type="optimization" scheduled="false" updateModel="false">
<Report reference="Report_7" target="" append="1" confirmOverwrite="1"/>
<Problem>
<Parameter name="Subtask" type="cn" value="CN=Root,Vector=TaskList[Steady-State]"/>
<ParameterText name="ObjectiveExpression" type="expression">
</ParameterText>
<Parameter name="Maximize" type="bool" value="0"/>
<Parameter name="Randomize Start Values" type="bool" value="0"/>
<Parameter name="Calculate Statistics" type="bool" value="1"/>
<ParameterGroup name="OptimizationItemList">
</ParameterGroup>
<ParameterGroup name="OptimizationConstraintList">
</ParameterGroup>
</Problem>
<Method name="Random Search" type="RandomSearch">
<Parameter name="Log Verbosity" type="unsignedInteger" value="0"/>
<Parameter name="Number of Iterations" type="unsignedInteger" value="100000"/>
<Parameter name="Random Number Generator" type="unsignedInteger" value="1"/>
<Parameter name="Seed" type="unsignedInteger" value="0"/>
</Method>
</Task>
<Task key="Task_8" name="Parameter Estimation" type="parameterFitting" scheduled="false" updateModel="false">
<Report reference="Report_6" target="" append="1" confirmOverwrite="1"/>
<Problem>
<Parameter name="Maximize" type="bool" value="0"/>
<Parameter name="Randomize Start Values" type="bool" value="0"/>
<Parameter name="Calculate Statistics" type="bool" value="1"/>
<ParameterGroup name="OptimizationItemList">
</ParameterGroup>
<ParameterGroup name="OptimizationConstraintList">
</ParameterGroup>
<Parameter name="Steady-State" type="cn" value="CN=Root,Vector=TaskList[Steady-State]"/>
<Parameter name="Time-Course" type="cn" value="CN=Root,Vector=TaskList[Time-Course]"/>
<Parameter name="Create Parameter Sets" type="bool" value="0"/>
<Parameter name="Use Time Sens" type="bool" value="0"/>
<Parameter name="Time-Sens" type="cn" value=""/>
<ParameterGroup name="Experiment Set">
</ParameterGroup>
<ParameterGroup name="Validation Set">
<Parameter name="Weight" type="unsignedFloat" value="1"/>
<Parameter name="Threshold" type="unsignedInteger" value="5"/>
</ParameterGroup>
</Problem>
<Method name="Evolutionary Programming" type="EvolutionaryProgram">
<Parameter name="Log Verbosity" type="unsignedInteger" value="0"/>
<Parameter name="Number of Generations" type="unsignedInteger" value="200"/>
<Parameter name="Population Size" type="unsignedInteger" value="20"/>
<Parameter name="Random Number Generator" type="unsignedInteger" value="1"/>
<Parameter name="Seed" type="unsignedInteger" value="0"/>
<Parameter name="Stop after # Stalled Generations" type="unsignedInteger" value="0"/>
</Method>
</Task>
<Task key="Task_7" name="Metabolic Control Analysis" type="metabolicControlAnalysis" scheduled="false" updateModel="false">
<Report reference="Report_5" target="" append="1" confirmOverwrite="1"/>
<Problem>
<Parameter name="Steady-State" type="key" value="Task_13"/>
</Problem>
<Method name="MCA Method (Reder)" type="MCAMethod(Reder)">
<Parameter name="Modulation Factor" type="unsignedFloat" value="1.0000000000000001e-09"/>
<Parameter name="Use Reder" type="bool" value="1"/>
<Parameter name="Use Smallbone" type="bool" value="1"/>
</Method>
</Task>
<Task key="Task_6" name="Lyapunov Exponents" type="lyapunovExponents" scheduled="false" updateModel="false">
<Report reference="Report_4" target="" append="1" confirmOverwrite="1"/>
<Problem>
<Parameter name="ExponentNumber" type="unsignedInteger" value="3"/>
<Parameter name="DivergenceRequested" type="bool" value="1"/>
<Parameter name="TransientTime" type="float" value="0"/>
</Problem>
<Method name="Wolf Method" type="WolfMethod">
<Parameter name="Orthonormalization Interval" type="unsignedFloat" value="1"/>
<Parameter name="Overall time" type="unsignedFloat" value="1000"/>
<Parameter name="Relative Tolerance" type="unsignedFloat" value="9.9999999999999995e-07"/>
<Parameter name="Absolute Tolerance" type="unsignedFloat" value="9.9999999999999998e-13"/>
<Parameter name="Max Internal Steps" type="unsignedInteger" value="10000"/>
</Method>
</Task>
<Task key="Task_5" name="Time Scale Separation Analysis" type="timeScaleSeparationAnalysis" scheduled="false" updateModel="false">
<Report reference="Report_3" target="" append="1" confirmOverwrite="1"/>
<Problem>
<Parameter name="StepNumber" type="unsignedInteger" value="100"/>
<Parameter name="StepSize" type="float" value="0.01"/>
<Parameter name="Duration" type="float" value="1"/>
<Parameter name="TimeSeriesRequested" type="bool" value="1"/>
<Parameter name="OutputStartTime" type="float" value="0"/>
</Problem>
<Method name="ILDM (LSODA,Deuflhard)" type="TimeScaleSeparation(ILDM,Deuflhard)">
<Parameter name="Deuflhard Tolerance" type="unsignedFloat" value="0.0001"/>
</Method>
</Task>
<Task key="Task_16" name="Sensitivities" type="sensitivities" scheduled="false" updateModel="false">
<Report reference="Report_2" target="" append="1" confirmOverwrite="1"/>
<Problem>
<Parameter name="SubtaskType" type="unsignedInteger" value="1"/>
<ParameterGroup name="TargetFunctions">
<Parameter name="SingleObject" type="cn" value=""/>
<Parameter name="ObjectListType" type="unsignedInteger" value="7"/>
</ParameterGroup>
<ParameterGroup name="ListOfVariables">
<ParameterGroup name="Variables">
<Parameter name="SingleObject" type="cn" value=""/>
<Parameter name="ObjectListType" type="unsignedInteger" value="41"/>
</ParameterGroup>
<ParameterGroup name="Variables">
<Parameter name="SingleObject" type="cn" value=""/>
<Parameter name="ObjectListType" type="unsignedInteger" value="0"/>
</ParameterGroup>
</ParameterGroup>
</Problem>
<Method name="Sensitivities Method" type="SensitivitiesMethod">
<Parameter name="Delta factor" type="unsignedFloat" value="0.001"/>
<Parameter name="Delta minimum" type="unsignedFloat" value="9.9999999999999998e-13"/>
</Method>
</Task>
<Task key="Task_15" name="Moieties" type="moieties" scheduled="false" updateModel="false">
<Report reference="Report_1" target="" append="1" confirmOverwrite="1"/>
<Problem>
</Problem>
<Method name="Householder Reduction" type="Householder">
</Method>
</Task>
<Task key="Task_4" name="Cross Section" type="crosssection" scheduled="false" updateModel="false">
<Problem>
<Parameter name="AutomaticStepSize" type="bool" value="0"/>
<Parameter name="StepNumber" type="unsignedInteger" value="100"/>
<Parameter name="StepSize" type="float" value="0.01"/>
<Parameter name="Duration" type="float" value="1"/>
<Parameter name="TimeSeriesRequested" type="bool" value="1"/>
<Parameter name="OutputStartTime" type="float" value="0"/>
<Parameter name="Output Event" type="bool" value="0"/>
<Parameter name="Start in Steady State" type="bool" value="0"/>
<Parameter name="Use Values" type="bool" value="0"/>
<Parameter name="Values" type="string" value=""/>
<Parameter name="LimitCrossings" type="bool" value="0"/>
<Parameter name="NumCrossingsLimit" type="unsignedInteger" value="0"/>
<Parameter name="LimitOutTime" type="bool" value="0"/>
<Parameter name="LimitOutCrossings" type="bool" value="0"/>
<Parameter name="PositiveDirection" type="bool" value="1"/>
<Parameter name="NumOutCrossingsLimit" type="unsignedInteger" value="0"/>
<Parameter name="LimitUntilConvergence" type="bool" value="0"/>
<Parameter name="ConvergenceTolerance" type="float" value="9.9999999999999995e-07"/>
<Parameter name="Threshold" type="float" value="0"/>
<Parameter name="DelayOutputUntilConvergence" type="bool" value="0"/>
<Parameter name="OutputConvergenceTolerance" type="float" value="9.9999999999999995e-07"/>
<ParameterText name="TriggerExpression" type="expression">
</ParameterText>
<Parameter name="SingleVariable" type="cn" value=""/>
</Problem>
<Method name="Deterministic (LSODA)" type="Deterministic(LSODA)">
<Parameter name="Integrate Reduced Model" type="bool" value="0"/>
<Parameter name="Relative Tolerance" type="unsignedFloat" value="9.9999999999999995e-07"/>
<Parameter name="Absolute Tolerance" type="unsignedFloat" value="9.9999999999999998e-13"/>
<Parameter name="Max Internal Steps" type="unsignedInteger" value="100000"/>
<Parameter name="Max Internal Step Size" type="unsignedFloat" value="0"/>
</Method>
</Task>
<Task key="Task_3" name="Linear Noise Approximation" type="linearNoiseApproximation" scheduled="false" updateModel="false">
<Report reference="Report_0" target="" append="1" confirmOverwrite="1"/>
<Problem>
<Parameter name="Steady-State" type="key" value="Task_13"/>
</Problem>
<Method name="Linear Noise Approximation" type="LinearNoiseApproximation">
</Method>
</Task>
<Task key="Task_2" name="Time-Course Sensitivities" type="timeSensitivities" scheduled="false" updateModel="false">
<Problem>
<Parameter name="AutomaticStepSize" type="bool" value="0"/>
<Parameter name="StepNumber" type="unsignedInteger" value="100"/>
<Parameter name="StepSize" type="float" value="0.01"/>
<Parameter name="Duration" type="float" value="1"/>
<Parameter name="TimeSeriesRequested" type="bool" value="1"/>
<Parameter name="OutputStartTime" type="float" value="0"/>
<Parameter name="Output Event" type="bool" value="0"/>
<Parameter name="Start in Steady State" type="bool" value="0"/>
<Parameter name="Use Values" type="bool" value="0"/>
<Parameter name="Values" type="string" value=""/>
<ParameterGroup name="ListOfParameters">
</ParameterGroup>
<ParameterGroup name="ListOfTargets">
</ParameterGroup>
</Problem>
<Method name="LSODA Sensitivities" type="Sensitivities(LSODA)">
<Parameter name="Integrate Reduced Model" type="bool" value="0"/>
<Parameter name="Relative Tolerance" type="unsignedFloat" value="9.9999999999999995e-07"/>
<Parameter name="Absolute Tolerance" type="unsignedFloat" value="9.9999999999999998e-13"/>
<Parameter name="Max Internal Steps" type="unsignedInteger" value="10000"/>
<Parameter name="Max Internal Step Size" type="unsignedFloat" value="0"/>
</Method>
</Task>
</ListOfTasks>
<ListOfReports>
<Report key="Report_10" name="Steady-State" taskType="steadyState" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Footer>
<Object cn="CN=Root,Vector=TaskList[Steady-State]"/>
</Footer>
</Report>
<Report key="Report_9" name="Time-Course" taskType="timeCourse" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Header>
<Object cn="CN=Root,Vector=TaskList[Time-Course],Object=Description"/>
</Header>
<Footer>
<Object cn="CN=Root,Vector=TaskList[Time-Course],Object=Result"/>
</Footer>
</Report>
<Report key="Report_8" name="Elementary Flux Modes" taskType="fluxMode" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Footer>
<Object cn="CN=Root,Vector=TaskList[Elementary Flux Modes],Object=Result"/>
</Footer>
</Report>
<Report key="Report_7" name="Optimization" taskType="optimization" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Header>
<Object cn="CN=Root,Vector=TaskList[Optimization],Object=Description"/>
<Object cn="String=\[Function Evaluations\]"/>
<Object cn="Separator=	"/>
<Object cn="String=\[Best Value\]"/>
<Object cn="Separator=	"/>
<Object cn="String=\[Best Parameters\]"/>
</Header>
<Body>
<Object cn="CN=Root,Vector=TaskList[Optimization],Problem=Optimization,Reference=Function Evaluations"/>
<Object cn="Separator=	"/>
<Object cn="CN=Root,Vector=TaskList[Optimization],Problem=Optimization,Reference=Best Value"/>
<Object cn="Separator=	"/>
<Object cn="CN=Root,Vector=TaskList[Optimization],Problem=Optimization,Reference=Best Parameters"/>
</Body>
<Footer>
<Object cn="String=
"/>
<Object cn="CN=Root,Vector=TaskList[Optimization],Object=Result"/>
</Footer>
</Report>
<Report key="Report_6" name="Parameter Estimation" taskType="parameterFitting" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Header>
<Object cn="CN=Root,Vector=TaskList[Parameter Estimation],Object=Description"/>
<Object cn="String=\[Function Evaluations\]"/>
<Object cn="Separator=	"/>
<Object cn="String=\[Best Value\]"/>
<Object cn="Separator=	"/>
<Object cn="String=\[Best Parameters\]"/>
</Header>
<Body>
<Object cn="CN=Root,Vector=TaskList[Parameter Estimation],Problem=Parameter Estimation,Reference=Function Evaluations"/>
<Object cn="Separator=	"/>
<Object cn="CN=Root,Vector=TaskList[Parameter Estimation],Problem=Parameter Estimation,Reference=Best Value"/>
<Object cn="Separator=	"/>
<Object cn="CN=Root,Vector=TaskList[Parameter Estimation],Problem=Parameter Estimation,Reference=Best Parameters"/>
</Body>
<Footer>
<Object cn="String=
"/>
<Object cn="CN=Root,Vector=TaskList[Parameter Estimation],Object=Result"/>
</Footer>
</Report>
<Report key="Report_5" name="Metabolic Control Analysis" taskType="metabolicControlAnalysis" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Header>
<Object cn="CN=Root,Vector=TaskList[Metabolic Control Analysis],Object=Description"/>
</Header>
<Footer>
<Object cn="String=
"/>
<Object cn="CN=Root,Vector=TaskList[Metabolic Control Analysis],Object=Result"/>
</Footer>
</Report>
<Report key="Report_4" name="Lyapunov Exponents" taskType="lyapunovExponents" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Header>
<Object cn="CN=Root,Vector=TaskList[Lyapunov Exponents],Object=Description"/>
</Header>
<Footer>
<Object cn="String=
"/>
<Object cn="CN=Root,Vector=TaskList[Lyapunov Exponents],Object=Result"/>
</Footer>
</Report>
<Report key="Report_3" name="Time Scale Separation Analysis" taskType="timeScaleSeparationAnalysis" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Header>
<Object cn="CN=Root,Vector=TaskList[Time Scale Separation Analysis],Object=Description"/>
</Header>
<Footer>
<Object cn="String=
"/>
<Object cn="CN=Root,Vector=TaskList[Time Scale Separation Analysis],Object=Result"/>
</Footer>
</Report>
<Report key="Report_2" name="Sensitivities" taskType="sensitivities" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Header>
<Object cn="CN=Root,Vector=TaskList[Sensitivities],Object=Description"/>
</Header>
<Footer>
<Object cn="String=
"/>
<Object cn="CN=Root,Vector=TaskList[Sensitivities],Object=Result"/>
</Footer>
</Report>
<Report key="Report_1" name="Moieties" taskType="moieties" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Header>
<Object cn="CN=Root,Vector=TaskList[Moieties],Object=Description"/>
</Header>
<Footer>
<Object cn="String=
"/>
<Object cn="CN=Root,Vector=TaskList[Moieties],Object=Result"/>
</Footer>
</Report>
<Report key="Report_0" name="Linear Noise Approximation" taskType="linearNoiseApproximation" separator="	" precision="6">
<Comment>
Automatically generated report.
</Comment>
<Header>
<Object cn="CN=Root,Vector=TaskList[Linear Noise Approximation],Object=Description"/>
</Header>
<Footer>
<Object cn="String=
"/>
<Object cn="CN=Root,Vector=TaskList[Linear Noise Approximation],Object=Result"/>
</Footer>
</Report>
</ListOfReports>
<ListOfPlots>
<PlotSpecification name="Time course" type="Plot2D" active="1" taskTypes="Time-Course, Scan">
<Parameter name="log X" type="bool" value="0"/>
<Parameter name="log Y" type="bool" value="0"/>
<Parameter name="plot engine" type="string" value="QCustomPlot"/>
<Parameter name="x axis" type="string" value="time (arbitrary units)"/>
<Parameter name="y axis" type="string" value="Conc. (arbitrary units)"/>
<Parameter name="z axis" type="string" value=""/>
<ListOfPlotItems>
<PlotItem name="[X]" type="Curve2D">
<Parameter name="Line type" type="unsignedInteger" value="0"/>
<Parameter name="Line subtype" type="unsignedInteger" value="0"/>
<Parameter name="Line width" type="unsignedFloat" value="1.2"/>
<Parameter name="Symbol subtype" type="unsignedInteger" value="0"/>
<Parameter name="Color" type="string" value="auto"/>
<Parameter name="Recording Activity" type="string" value="during"/>
<ListOfChannels>
<ChannelSpec cn="CN=Root,Model=Goodwin oscillator,Reference=Time"/>
<ChannelSpec cn="CN=Root,Model=Goodwin oscillator,Vector=Compartments[compartment],Vector=Metabolites[X],Reference=Concentration"/>
</ListOfChannels>
</PlotItem>
<PlotItem name="[Y]" type="Curve2D">
<Parameter name="Line type" type="unsignedInteger" value="0"/>
<Parameter name="Line subtype" type="unsignedInteger" value="0"/>
<Parameter name="Line width" type="unsignedFloat" value="1.2"/>
<Parameter name="Symbol subtype" type="unsignedInteger" value="0"/>
<Parameter name="Color" type="string" value="auto"/>
<Parameter name="Recording Activity" type="string" value="during"/>
<ListOfChannels>
<ChannelSpec cn="CN=Root,Model=Goodwin oscillator,Reference=Time"/>
<ChannelSpec cn="CN=Root,Model=Goodwin oscillator,Vector=Compartments[compartment],Vector=Metabolites[Y],Reference=Concentration"/>
</ListOfChannels>
</PlotItem>
</ListOfPlotItems>
</PlotSpecification>
<PlotSpecification name="Phase space" type="Plot2D" active="1" taskTypes="Time-Course, Scan">
<Parameter name="log X" type="bool" value="0"/>
<Parameter name="log Y" type="bool" value="0"/>
<Parameter name="x axis" type="string" value="X"/>
<Parameter name="y axis" type="string" value="Y"/>
<Parameter name="z axis" type="string" value=""/>
<Parameter name="plot engine" type="string" value="QCustomPlot"/>
<ListOfPlotItems>
<PlotItem name="[Y]|[X]" type="Curve2D">
<Parameter name="Line type" type="unsignedInteger" value="0"/>
<Parameter name="Line subtype" type="unsignedInteger" value="0"/>
<Parameter name="Line width" type="unsignedFloat" value="1.2"/>
<Parameter name="Symbol subtype" type="unsignedInteger" value="0"/>
<Parameter name="Color" type="string" value="auto"/>
<Parameter name="Recording Activity" type="string" value="during"/>
<ListOfChannels>
<ChannelSpec cn="CN=Root,Model=Goodwin oscillator,Vector=Compartments[compartment],Vector=Metabolites[X],Reference=Concentration"/>
<ChannelSpec cn="CN=Root,Model=Goodwin oscillator,Vector=Compartments[compartment],Vector=Metabolites[Y],Reference=Concentration"/>
</ListOfChannels>
</PlotItem>
</ListOfPlotItems>
</PlotSpecification>
</ListOfPlots>
<GUI>
</GUI>
<ListOfUnitDefinitions>
<UnitDefinition key="Unit_15" name="dimensionless" symbol="1">
<MiriamAnnotation>
<rdf:RDF
xmlns:dcterms="http://purl.org/dc/terms/"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description rdf:about="#Unit_14">
</rdf:Description>
</rdf:RDF>
</MiriamAnnotation>
<Expression>
1
</Expression>
</UnitDefinition>
</ListOfUnitDefinitions>
</COPASI>