documentation:course:module1
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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| documentation:course:module1 [16:00 13.11.2017] – [Basic ODEs] Fabian Rost | documentation:course:module1 [16:20 13.11.2017] (current) – [Delta-Notch] Fabian Rost | ||
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| < | < | ||
| digraph { | digraph { | ||
| + | size=" | ||
| + | |||
| + | node [shape = circle]; | ||
| a[label="", | a[label="", | ||
| ab[label="", | ab[label="", | ||
| + | c[label="", | ||
| a -> ab[arrowhead=None]; | a -> ab[arrowhead=None]; | ||
| ab -> A; | ab -> A; | ||
| + | A -> c | ||
| B -> ab[arrowhead=tee]; | B -> ab[arrowhead=tee]; | ||
| - | {rank=same; a; ab; A}; | + | {rank=same; a; ab; A; c}; |
| } | } | ||
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| \begin{align} | \begin{align} | ||
| - | \dot A &= \frac{\theta^n}{\theta^n + B^n} A | + | \dot A &= \frac{\theta^n}{\theta^n + B^n} - k A |
| \end{align} | \end{align} | ||
| ==== Delta-Notch ==== | ==== Delta-Notch ==== | ||
| Line 110: | Line 115: | ||
| * 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 182: | Line 187: | ||
| </ | </ | ||
| + | </ | ||
| + | <file xml | LateralInhibition_2cell.xml> | ||
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| + | <?xml version=' | ||
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| + | <System solver=" | ||
| + | <DiffEqn symbol-ref=" | ||
| + | < | ||
| + | - k * A</ | ||
| + | </ | ||
| + | <DiffEqn symbol-ref=" | ||
| + | < | ||
| + | - k * A_neighbour</ | ||
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| + | </ | ||
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| + | </ | ||
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| + | <file xml | LateralInhibition_space.xml> | ||
| + | |||
| + | <?xml version=' | ||
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| + | <Input scaling=" | ||
| + | <Output symbol-ref=" | ||
| + | </ | ||
| + | <System solver=" | ||
| + | <DiffEqn symbol-ref=" | ||
| + | < | ||
| + | - X</ | ||
| + | </ | ||
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| + | </ | ||
| </ | </ | ||
documentation/course/module1.1510585222.txt.gz · Last modified: 16:00 13.11.2017 by Fabian Rost