Team:UPO-Sevilla/Project/Improving Flip Flop/Modeling/Equations
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<h1>Equations</h1> | <h1>Equations</h1> | ||
+ | |||
+ | <p>We define the reactions and the parameters involved in the system.</p> | ||
+ | |||
+ | <p>First we show a summary of the species:</p> | ||
+ | |||
+ | <p>Species:</p> | ||
+ | |||
+ | <ul> | ||
+ | |||
+ | <li>Promoter1</li> | ||
+ | <li>Promoter2</li> | ||
+ | <li>mRNA1</li> | ||
+ | <li>mRNA2</li> | ||
+ | <li>Repressor1/r1</li> | ||
+ | <li>Repressor2</li> | ||
+ | <li>Ribosomes</li> | ||
+ | <li>IPTG</li> | ||
+ | <li>asRNA</li> | ||
+ | <li>Protease</li> | ||
+ | |||
+ | </ul> | ||
+ | |||
+ | <p>Parameters:</p> | ||
+ | |||
+ | <ul> | ||
+ | |||
+ | <li>Km : Michaelis constant of transcription</li> | ||
+ | <li>Kmu: Michaelis constant of translation</li> | ||
+ | <li>δ: mRNA rate of degradation</li> | ||
+ | <li>λ: mRNA maximum rate of synthesis</li> | ||
+ | <li>k: Repressor rate of synthesis</li> | ||
+ | <li>Kiu: Dissociation constant of repression</li> | ||
+ | <li>γ: Cooperativity of inhibition by the repressor</li> | ||
+ | <li>Ki: Binding constant for IPTG to the repressor</li> | ||
+ | <li>K: Multimerization constant</li> | ||
+ | <li>η: Maximum number of bound IPTG molecule per repressor</li> | ||
+ | <li>ktemp: Degradation constant due to the temperature effect</li> | ||
+ | <li>kprs: Rate constant for proteolysis kinetic</li> | ||
+ | <li>kinh: Rate constant for inhibition of translation</li> | ||
+ | <li>δ<sub>3</sub>: Degradation rate of asRNA</li> | ||
+ | <li>kptsa: Degradation rate of Protease</li> | ||
+ | |||
+ | </ul> | ||
+ | |||
+ | <p></p> | ||
+ | |||
+ | <p></p> | ||
+ | |||
+ | <p></p> | ||
+ | |||
+ | <p></p> | ||
Revision as of 00:15, 20 September 2011
Equations
We define the reactions and the parameters involved in the system.
First we show a summary of the species:
Species:
- Promoter1
- Promoter2
- mRNA1
- mRNA2
- Repressor1/r1
- Repressor2
- Ribosomes
- IPTG
- asRNA
- Protease
Parameters:
- Km : Michaelis constant of transcription
- Kmu: Michaelis constant of translation
- δ: mRNA rate of degradation
- λ: mRNA maximum rate of synthesis
- k: Repressor rate of synthesis
- Kiu: Dissociation constant of repression
- γ: Cooperativity of inhibition by the repressor
- Ki: Binding constant for IPTG to the repressor
- K: Multimerization constant
- η: Maximum number of bound IPTG molecule per repressor
- ktemp: Degradation constant due to the temperature effect
- kprs: Rate constant for proteolysis kinetic
- kinh: Rate constant for inhibition of translation
- δ3: Degradation rate of asRNA
- kptsa: Degradation rate of Protease