Tokyo/Formulation/4.population model

From 2007.igem.org

< Tokyo/Formulation
Revision as of 03:55, 25 October 2007 by Nakatani (Talk | contribs)

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●

Step.4 >> Step.5