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 | 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]] | <br>[[Image:expression4-1.jpg|400px|none|thumb|Ex4-1]] | ||
| - | + | where N indicates the number of the cells. | |
| - | + | ||
<br>In the steady state,time derivatives are zero.As a result,the nullclines of this system were derived as | <br>In the steady state,time derivatives are zero.As a result,the nullclines of this system were derived as | ||
<br>[[Image:expression4-2.jpg|400px|none|thumb|Ex4-2]] | <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>[[Image:expression7.JPG|400px|none|thumb|Ex4-3]] | ||
| - | < | + | <!-- |
| - | [[Image:parameter4-1.jpg|thumb|150px| | + | [[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> | |
| - | <br>To analyze the equations, the values in the right table were used.The phase plane are shown in Fig● | + | --> |
| + | ''' back to [[Tokyo/Works/Simulation |Simulation]]''' | ||
| + | == == | ||
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
