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documentation:course:module1 [16:04 13.11.2017] – [Morpheus models] Fabian Rostdocumentation:course:module1 [16:20 13.11.2017] (current) – [Delta-Notch] Fabian Rost
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   * this system is bistable for certain parameter ranges, if the students are advanced they might find this out themselves   * this system is bistable for certain parameter ranges, if the students are advanced they might find this out themselves
-  * bistable e.g. for $\theta=0.1$, $n=4$,+  * bistable e.g. for $\theta=0.5$, $n=4$,
   * if they have this system running in morpheus go spatial and let them simulate the system on a square and hexagonal grid   * if they have this system running in morpheus go spatial and let them simulate the system on a square and hexagonal grid
   * then you could also move to shaped cpm cells or even moving cells   * then you could also move to shaped cpm cells or even moving cells
Line 189: Line 189:
 </file> </file>
  
-<file xml | LateralInhibition.xml>+<file xml | LateralInhibition_2cell.xml> 
 + 
 +<?xml version='1.0' encoding='UTF-8'?> 
 +<MorpheusModel version="3"> 
 +    <Description> 
 +        <Details></Details> 
 +        <Title></Title> 
 +    </Description> 
 +    <Space> 
 +        <Lattice class="linear"> 
 +            <Neighborhood> 
 +                <Order>1</Order> 
 +            </Neighborhood> 
 +            <Size symbol="size" value="100, 0, 0"/> 
 +        </Lattice> 
 +        <SpaceSymbol symbol="space"/> 
 +    </Space> 
 +    <Time> 
 +        <StartTime value="0"/> 
 +        <StopTime value="8"/> 
 +        <TimeSymbol symbol="time"/> 
 +    </Time> 
 +    <Global> 
 +        <Variable symbol="A" value="0.51"/> 
 +        <Variable symbol="A_neighbour" value="0.5"/> 
 +        <System solver="heun" time-step="0.01"> 
 +            <DiffEqn symbol-ref="A"> 
 +                <Expression>theta^n / (theta^n + A_neighbour^n) 
 +- k * A</Expression> 
 +            </DiffEqn> 
 +            <DiffEqn symbol-ref="A_neighbour"> 
 +                <Expression>theta^n / (theta^n + A^n) 
 +- k * A_neighbour</Expression> 
 +            </DiffEqn> 
 +        </System> 
 +        <Constant symbol="theta" value="0.1"/> 
 +        <Constant symbol="n" value="6"/> 
 +        <Constant symbol="k" value="1.0"/> 
 +    </Global> 
 +    <Analysis> 
 +        <Logger time-step="0.1"> 
 +            <Input> 
 +                <Symbol symbol-ref="A"/> 
 +            </Input> 
 +            <Output> 
 +                <TextOutput/> 
 +            </Output> 
 +            <Plots> 
 +                <Plot time-step="8"> 
 +                    <Style style="points"/> 
 +                    <Terminal terminal="png"/> 
 +                    <X-axis> 
 +                        <Symbol symbol-ref="time"/> 
 +                    </X-axis> 
 +                    <Y-axis> 
 +                        <Symbol symbol-ref="A"/> 
 +                        <Symbol symbol-ref="A_neighbour"/> 
 +                    </Y-axis> 
 +                </Plot> 
 +            </Plots> 
 +        </Logger> 
 +    </Analysis> 
 +</MorpheusModel> 
 + 
 + 
 +</file> 
 + 
 +<file xml | LateralInhibition_space.xml>
  
 <?xml version='1.0' encoding='UTF-8'?> <?xml version='1.0' encoding='UTF-8'?>
documentation/course/module1.1510585477.txt.gz · Last modified: 16:04 13.11.2017 by Fabian Rost

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