Tokyo/Formulation/4.population model

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(Difference between revisions)
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<br>[[Image:expression4-3.jpg|400px|none|thumb|Ex4-3]]
<br>[[Image:expression4-3.jpg|400px|none|thumb|Ex4-3]]
[[Image:parameter4-1.jpg|right|thumb|150px|Table4-1]]
[[Image:parameter4-1.jpg|right|thumb|150px|Table4-1]]
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<br>To analyze the equations, the values in the right table were used.The phase plane are shown in Fig●
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<br>To analyze the equations, the values of parameters in the right table were used.The phase plane are shown in Fig●

Revision as of 06:34, 24 October 2007

Next, to consider the number of cells, the differential equations for multiple cells were given as


Ex4-1

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


Ex4-2

and then substitute the third equation into the second


Ex4-3
Table4-1


To analyze the equations, the values of parameters in the right table were used.The phase plane are shown in Fig●