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Team:Rutgers/Modeling
From 2011.igem.org
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Modeling Page
mRNA protein 1 lovTAP 7 lovTAP 2 cI434 8 lovTAP* 3 T7P 9 CI434 4 trpR 10 T7P 5 cI 11 trpR 6 mRFP1 12 CI 13 mRFP1
parameters k transcription rate a translation rate u protein degradation y mRNA degradation K dissociation constant n hill coefficent b for all of x B sub x = .01 a sub x o 0 if light off, 1 if light on c rate of light induced lovTAP to lovTAP*
mRNA ODEs
lovTAPlovTAP mRNAdt= k1- y1 [lovTAP mRNA] [lovTAP mRNA]/dt = k1 - y1[lovTAP mRNA]
[cI434 mRNA]/dt = k2( K8 / [lovTAP*]^n8 + K8)( [trpR]^n11 / [trpR]^n11 + K11) - y2[cI434 mRNA]
[T7P mRNA]/dt = k3( K9 / [cI434]^n9 + K9 )( [cI]^n12 / [cI]^n12 + K12 ) - y3[T7P mRNA]
[trpR mRNA]/dt = k4( K9 / [cI434]^n9 + K9 )( [cI]^n12 / [cI]^n12 + K12 ) - y4[trpR mRNA]
[cI mRNA]/dt = k5( K9 / [cI434]^n9 + K9 )( [cI]^n12 / [cI]^n12 + K12 ) - y5[cI mRNA]
[mRFP1 mRNA]/dt = k6( [T7P]^n10 / [T7P]^n10 + K10 ) - y6[mRFP1 mRNA]
Protein ODEs
[lovTAP]/dt = a7[lovTAP mRNA] - oc[lovTAP] - u7[lovTAP]
[lovTAP*]/dt = oc[lovTAP] - u8[lovTAP*]
[cI434]/dt = a9[cI434 mRNA] - u9[cI434]
[T7P]/dt = a10[T7p mRNA] - u10[T7P]
[trpR]/dt = a11[trpR mRNA] - u11[trpR]
[cI]/dt = a12[cI mRNA] - u12[cI]
[mRFP1]/dt = a13[mRFP1 mRNA] - u13[mRFP1]
