Tokyo/Formulation/4.population model
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+ | ''' back to [[Tokyo/Works/Simulation |Simulation]]''' | ||
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+ | Next, to consider the number of cells, the differential equations for multiple cells were given as | ||
- | + | <br>[[Image:expression4-1.jpg|400px|none|thumb|Ex4-1]] | |
- | + | where N indicates the number of the cells. | |
- | <br> | + | <br>In the steady state,time derivatives are zero.As a result,the nullclines of this system were derived as |
- | <br> | + | <br>[[Image:expression4-2.jpg|400px|none|thumb|Ex4-2]] |
+ | and then substitute the third equation into the second equation.The nullclines of this system were derived as | ||
- | <br> | + | <br>[[Image:expression7.JPG|400px|none|thumb|Ex4-3]] |
- | < | + | <!-- |
- | + | [[Image:parameter4-1.jpg|right|thumb|150px|Table4-1]] | |
- | + | <br>To analyze the equations, the values of parameters in the right table were used.The phase plane are shown in Fig● | |
- | + | <br> | |
- | + | --> | |
- | + | ''' back to [[Tokyo/Works/Simulation |Simulation]]''' | |
- | + | == == | |
- | [[Image:parameter4-1.jpg|thumb|150px| | + | |
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- | <br> | + | |
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Latest revision as of 01:56, 27 October 2007
back to Simulation
Next, to consider the number of cells, the differential equations for multiple cells were given as
where N indicates the number of the cells.
In the steady state,time derivatives are zero.As a result,the nullclines of this system were derived as
and then substitute the third equation into the second equation.The nullclines of this system were derived as
back to Simulation