Team:ETH Zurich/modeling/int

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(Difference between revisions)
m (Parameter fitting)
m (Characterization: KSABxb1)
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;'''Assumption E'''
;'''Assumption E'''
-
:The activation by aTc is assumed to be dominant over degradation of Bxb1 and dimerization of Bxb1. It is supposed to be valid on the range of aTc concentration considered.$$\frac{k_{mRNA_{Bxb1}}*(A_L + B_L * \frac{[aTc]^n}{[aTc]^n+K_L^n})}{d_{Bxb1}K_{DBxb1}} >> 1$$ with $$K_{DBxb1} = \frac{k_{-DBxb1} + d_{DBxb1}}{k_{DBxb1}}$$
+
:The activation by aTc is assumed to be dominant over degradation of Bxb1 and dimerization of Bxb1. It is supposed to be valid on the range of aTc concentration considered.
 +
$$\frac{k_{mRNA_{Bxb1}}*(A_L + B_L * \frac{[aTc]^n}{[aTc]^n+K_L^n})}{d_{Bxb1}K_{DBxb1}} >> 1
 +
$$  
 +
with  
 +
$$K_{DBxb1} = \frac{k_{-DBxb1} + d_{DBxb1}}{k_{DBxb1}}
 +
$$
<br/>
<br/>
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=== Parameter fitting ===
=== Parameter fitting ===
We consider the system at steady-state. After derivation, the following explicit equation can be retrieved:
We consider the system at steady-state. After derivation, the following explicit equation can be retrieved:
-
$$[SR]_{qss} = {(\frac{B_{L} * [aTc]^{n}}{ \lambda_1 K_L^{n} + (B_{L} +\lambda_1) [aTc]^{n}})}^2$$
+
$$[SR]_{qss} = {(\frac{B_{L} * [aTc]^{n}}{ \lambda_1 K_L^{n} + (B_{L} +\lambda_1) [aTc]^{n}})}^2
 +
$$
where
where
-
$$\lambda_1 = \frac{2*d_{Bxb1}*K_{SABxb1}}{k_{mRNA_{Bxb1}}} ; K_{SABxb1} = \frac{k_{-SABxb1}}{k_{SABxb1}}$$
+
$$\lambda_1 = \frac{2*d_{Bxb1}*K_{SABxb1}}{k_{mRNA_{Bxb1}}} ; K_{SABxb1} = \frac{k_{-SABxb1}}{k_{SABxb1}}
 +
$$
=== Range of validity of the assumptions ===
=== Range of validity of the assumptions ===

Revision as of 15:02, 12 October 2014

iGEM ETH Zurich 2014