<?xml version="1.0" encoding="UTF-8"?>
<!--This mathmodel was generated in VCML Version 0.4-->
<vcml xmlns="http://sourceforge.net/projects/vcell/vcml" Version="0.4">
   <MathModel Name="DIFF_Fisher_equation">
      <Geometry Name="fisher_diff" Dimension="2">
         <Extent X="2.0" Y="0.5" Z="10.0" />
         <Origin X="0.0" Y="0.0" Z="0.0" />
         <SubVolume Name="subVolume1" Handle="0" Type="Analytical" KeyValue="31884969">
            <AnalyticExpression>1.0</AnalyticExpression>
         </SubVolume>
         <SurfaceDescription NumSamplesX="101" NumSamplesY="101" NumSamplesZ="1" CutoffFrequency="0.3">
            <VolumeRegion Name="subVolume10" RegionID="0" SubVolume="subVolume1" Size="1.0" Unit="um2" />
         </SurfaceDescription>
         <Version Name="fisher_diff" KeyValue="31884965" BranchId="31884966" Archived="0" Date="12-Feb-2009 14:26:13" FromVersionable="false">
            <Owner Name="satarupa" Identifier="29129705" />
            <GroupAccess Type="1" />
         </Version>
      </Geometry>
      <MathDescription Name="unnamed">
         <Constant Name="diffusionRate">1.0</Constant>
         <Constant Name="k">100.0</Constant>
         <VolumeVariable Name="P" />
         <Function Name="J">(P * (1.0 - P))</Function>
         <Function Name="P_init">(1.0 / (1.0 + exp((2.0 * k * (-1.0 + x)))))</Function>
         <CompartmentSubDomain Name="subVolume1" Priority="0">
            <BoundaryType Boundary="Xm" Type="Flux" />
            <BoundaryType Boundary="Xp" Type="Flux" />
            <BoundaryType Boundary="Ym" Type="Flux" />
            <BoundaryType Boundary="Yp" Type="Flux" />
            <BoundaryType Boundary="Zm" Type="Value" />
            <BoundaryType Boundary="Zp" Type="Value" />
            <PdeEquation Name="P" SolutionType="Unknown">
               <Boundaries Xm="0.0" Xp="0.0" Ym="0.0" Yp="0.0" />
               <Rate>J</Rate>
               <Diffusion>diffusionRate</Diffusion>
               <Initial>P_init</Initial>
            </PdeEquation>
         </CompartmentSubDomain>
         <Version Name="unnamed" KeyValue="32000822" BranchId="31885080" Archived="0" Date="17-Feb-2009 00:30:38" FromVersionable="false">
            <Owner Name="satarupa" Identifier="29129705" />
            <GroupAccess Type="1" />
         </Version>
      </MathDescription>
      <Simulation Name="Simulation0">
         <SolverTaskDescription TaskType="Unsteady" UseSymbolicJacobian="false" Solver="Finite Volume, Regular Grid">
            <TimeBound StartTime="0.0" EndTime="10.0" />
            <TimeStep DefaultTime="0.1" MinTime="1.0E-8" MaxTime="1.0" />
            <ErrorTolerance Absolut="1.0E-9" Relative="1.0E-9" />
            <OutputOptions KeepEvery="1" KeepAtMost="1000" />
         </SolverTaskDescription>
         <MathOverrides>
            <Constant Name="diffusionRate" ConstantArraySpec="1000">0.2, 0.5, 1.0</Constant>
         </MathOverrides>
         <MeshSpecification>
            <Size X="200" Y="51" Z="1" />
         </MeshSpecification>
         <Version Name="Simulation0" KeyValue="32000875" BranchId="32000876" Archived="0" Date="17-Feb-2009 01:21:01" FromVersionable="false">
            <Owner Name="satarupa" Identifier="29129705" />
            <GroupAccess Type="1" />
         </Version>
      </Simulation>
      <Simulation Name="Simulation1">
         <SolverTaskDescription TaskType="Unsteady" UseSymbolicJacobian="false" Solver="Finite Volume, Regular Grid">
            <TimeBound StartTime="0.0" EndTime="20.0" />
            <TimeStep DefaultTime="0.1" MinTime="1.0E-8" MaxTime="1.0" />
            <ErrorTolerance Absolut="1.0E-9" Relative="1.0E-9" />
            <OutputOptions KeepEvery="1" KeepAtMost="1000" />
         </SolverTaskDescription>
         <MathOverrides>
            <Constant Name="diffusionRate">0.1</Constant>
         </MathOverrides>
         <MeshSpecification>
            <Size X="200" Y="51" Z="1" />
         </MeshSpecification>
         <Version Name="Simulation1" KeyValue="32000899" BranchId="32000900" Archived="0" Date="17-Feb-2009 01:27:44" FromVersionable="false">
            <Owner Name="satarupa" Identifier="29129705" />
            <GroupAccess Type="1" />
         </Version>
      </Simulation>
      <Version Name="DIFF_Fisher_equation" KeyValue="32000902" BranchId="31885083" Archived="0" Date="17-Feb-2009 01:27:44" FromVersionable="false">
         <Owner Name="satarupa" Identifier="29129705" />
         <GroupAccess Type="1" />
      </Version>
   </MathModel>
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