Will Deloache Test Page: Difference between revisions
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==Mathematical Modeling== | ==Mathematical Modeling== | ||
The mathematical model for this paper will not be described in detail because most of the tools for modeling memory networks have already been explained in the [[CellularMemory:Mathematical Models |math modeling]] section. Briefly, two differential equations were created that described the rate of synthesis of each repressor as a function of the concentration of the opposite repressor, cooperativity, and repressor dilution/decay. Both of these equations were set equal to 0 to ensure that the cell was in a steady state, and the concentration of each repressor in a steady state was determined by the intersection of the two [http://en.wikipedia.org/wiki/Nullcline nullclines]. This model demonstrates the need to balance promoter strength with repressor strength by tuning the strength ribosomal binding sites. It also shows that repressor cooperativity is necessary for bistability as was shown in the mathematical modeling section. | The mathematical model for this paper will not be described in detail because most of the tools for modeling memory networks have already been explained in the [[CellularMemory:Mathematical Models |math modeling]] section. Briefly, two differential equations were created that described the rate of synthesis of each repressor as a function of the concentration of the opposite repressor, cooperativity of repression, and repressor dilution/decay. Both of these equations were set equal to 0 to ensure that the cell was in a steady state, and the concentration of each repressor in a steady state was determined by the intersection of the two [http://en.wikipedia.org/wiki/Nullcline nullclines]. This model demonstrates the need to balance promoter strength with repressor strength by tuning the strength ribosomal binding sites. It also shows that repressor cooperativity is necessary for bistability as was shown in the mathematical modeling section. | ||
==Results== | ==Results== |
Revision as of 13:39, 3 December 2007
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