IGEM:IMPERIAL/2007/Cell By Date/Modelling: Difference between revisions
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<font color="red">Is this what you need? Check the params - I uploaded the m-files. | <font color="red">Is this what you need? Check the params - I uploaded the m-files. | ||
====ODEs for energy-limited constitutive expression by pTET==== | ====ODEs for energy-limited constitutive expression by pTET-mut3BGFP==== | ||
<math>\frac{d[ | <math>\frac{d[GFP]}{dt} = k_1\bigg(\frac{[E]^n}{K_E^n + [E]^n}\bigg) - \delta_{GFP}[GFP]</math> | ||
<math>\frac{d[ | <math>\frac{d[GFP]}{dt} = - k_1\bigg(\frac{[E]^n}{K_E^n + [E]^n}\bigg)</math> | ||
*<math>k_1</math> - rate constant for pTET | |||
*<math>K_E</math> - Half Saturation Coefficient for Energy Hill function | |||
*n - Positive Cooperativity Coefficient : here n = 2 | |||
*<math>\delta_{GFP}</math> - Decay constant of mut3BGFP : here <math>\delta_{GFP}=0.0005</math> | |||
[[Image:CBD Energy ode.m|ODE function for energy-limited constitutive expression by pTET]] <br> | [[Image:CBD Energy ode.m|ODE function for energy-limited constitutive expression by pTET]] <br> | ||
Revision as of 04:39, 19 October 2007
Cell by Date
--The Don 20:15, 18 October 2007 (CDT) Is this what you need? Check the params - I uploaded the m-files.
ODEs for energy-limited constitutive expression by pTET-mut3BGFP
[math]\displaystyle{ \frac{d[GFP]}{dt} = k_1\bigg(\frac{[E]^n}{K_E^n + [E]^n}\bigg) - \delta_{GFP}[GFP] }[/math]
[math]\displaystyle{ \frac{d[GFP]}{dt} = - k_1\bigg(\frac{[E]^n}{K_E^n + [E]^n}\bigg) }[/math]
- [math]\displaystyle{ k_1 }[/math] - rate constant for pTET
- [math]\displaystyle{ K_E }[/math] - Half Saturation Coefficient for Energy Hill function
- n - Positive Cooperativity Coefficient : here n = 2
- [math]\displaystyle{ \delta_{GFP} }[/math] - Decay constant of mut3BGFP : here [math]\displaystyle{ \delta_{GFP}=0.0005 }[/math]
Plots of time evolution of GFP expression and consequent Energy depletion
