Tokyo/Formulation/4.population model
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- | + | Next, to consider the number of cells,the differential equations for multiple cells were given as | |
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- | Next, | + | |
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<br>[[Image:expression4-1.jpg|400px|]] | <br>[[Image:expression4-1.jpg|400px|]] | ||
- | <br> | + | <br>where N indicates the number of the cells. |
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- | + | <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, | + | |
<br>[[Image:expression4-2.jpg|400px|]] | <br>[[Image:expression4-2.jpg|400px|]] | ||
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<br>and then substitute the third equation into the second | <br>and then substitute the third equation into the second | ||
[[Image:parameter4-1.jpg|thumb|150px|]] | [[Image:parameter4-1.jpg|thumb|150px|]] | ||
<br>[[Image:expression4-3.jpg|400px|]] | <br>[[Image:expression4-3.jpg|400px|]] | ||
- | <br> | + | <br>To analyze the equations, the values in the right table were used. |
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Revision as of 13:42, 23 October 2007
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
To analyze the equations, the values in the right table were used.