Team:Brown/Modeling/Parameters

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Modeling Parameters

As our circuit is relatively complex, we have many factors and thus many parameters with which to describe the function of these factors mathematically.

These parameters are as follows:

  1. δ is a function designed to represent the presence/absence of light in a Boolean fashion. δ=0 without light and 1 with light.
  2. c_1 represents the rate of conformational change from LovTAP to LovTAP* when irradiated with 470nm light.
  3. c_2 represents the rate of SupD + T7ptag --> T7 polymerase
  4. α represents the maximum protein synthesis rate in nanomoles/sec.
  5. β represents the basal synthesis rate. We assume ∀x β_x= .01α_x
  6. μ represents the protein degradation rate.
  7. n represents a ligand’s hill coefficient.
  8. K_m represents the ligand’s dissociation constant
Brown iGEM 2010 � Modeling Parameters ' ' ' '
Parameter NameValueUnitsSource
LovTAP rate of maximum synthesis1.06E-013nanomoles/minDetermined as explained in Brown 2010 wiki
tatR rate of maximum synthesis1.15E-013nanomoles/minDetermined as explained in Brown 2010 wiki
Mnt rate of maximum synthesis6.06E-013nanomoles/minDetermined as explained in Brown 2010 wiki
AraC rate of maximum synthesis6.00E-014nanomoles/minDetermined as explained in Brown 2010 wiki
LacI rate of maximum synthesis3.95E-014nanomoles/minDetermined as explained in Brown 2010 wiki
CI rate of maximum synthesis8.93E-014nanomoles/minDetermined as explained in Brown 2010 wiki
CI434 rate of maximum synthesis1.22E-013nanomoles/minDetermined as explained in Brown 2010 wiki
SupD rate of maximum synthesis2.71E-012nanomoles/minDetermined as explained in Brown 2010 wiki
T7ptag rate of maximum synthesis7.02E-015nanomoles/minDetermined as explained in Brown 2010 wiki
GAL4 rate of maximum synthesis2.92E-013nanomoles/minDetermined as explained in Brown 2010 wiki
S1 rate of maximum synthesis9.69E-014nanomoles/minDetermined as explained in Brown 2010 wiki
LovTAP rate of basal synthesis1.06E-015nanomoles/minDetermined as explained in Brown 2010 wiki
tatR rate of basal synthesis1.15E-015nanomoles/minDetermined as explained in Brown 2010 wiki
Mnt rate of basal synthesis6.06E-015nanomoles/minDetermined as explained in Brown 2010 wiki
AraC rate of basal synthesis6.00E-016nanomoles/minDetermined as explained in Brown 2010 wiki
LacI rate of basal synthesis3.95E-016nanomoles/minDetermined as explained in Brown 2010 wiki
CI rate of basal synthesis8.93E-016nanomoles/minDetermined as explained in Brown 2010 wiki
CI434 rate of basal synthesis1.22E-015nanomoles/minDetermined as explained in Brown 2010 wiki
SupD rate of basal synthesis2.71E-014nanomoles/minDetermined as explained in Brown 2010 wiki
T7ptag rate of basal synthesis7.02E-017nanomoles/minDetermined as explained in Brown 2010 wiki
GAL4 rate of basal synthesis2.92E-015nanomoles/minDetermined as explained in Brown 2010 wiki
S1 rate of basal synthesis9.69E-016nanomoles/minDetermined as explained in Brown 2010 wiki
LovTAP degradation rate0.06666666671/secDetermined as explained in Brown 2010 wiki
LovTAP* degradation rate0.06666666671/secDetermined as explained in Brown 2010 wiki
tetR degradation rate0.06666666671/secDetermined as explained in Brown 2010 wiki
Mnt degradation rate0.06666666671/secDetermined as explained in Brown 2010 wiki
AraC degradation rate0.06666666671/secDetermined as explained in Brown 2010 wiki
LacI degradation rate0.06666666671/secDetermined as explained in Brown 2010 wiki
CI degradation rate0.05606060611/sechttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
CI434 degradation rate0.1242424241/sechttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
SupD degradation rate0.06666666671/secAs explained in wiki
T7ptag degradation rate0.06666666671/secAs explained in wiki
T7 polymerase degradation rate0.05833333331/sechttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
GAL4 degradation rate0.06666666671/secAs explained in wiki
S1 degradation rate0.051/sechttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
S2 degradation rate0.051/sechttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
S3 degradation rate0.051/sechttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
S4 degradation rate0.051/sechttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
LovTAP* hill coefficient1Estimate
tetR hill coefficient3http://parts.mit.edu/igem07/index.php/ETHZ/Parameters
CI hill coefficient2http://parts.mit.edu/igem07/index.php/ETHZ/Parameters
CI434 hill coefficient2PKU 2009 wiki
GAL4 hill coefficient2PKU 2009 wiki
AraC hill coefficient2PKU 2009 wiki
T7 hill coefficient2PKU 2009 wiki
LacI hill coefficient2PKU 2009 wiki
Mnt hill coefficient1PKU 2009 wiki
LovTAP* dissociation constant142nanomolesLight-activated DNA binding in a designed allosteric protein,Devin Strickland, Keith Moffat, and Tobin R. Sosnick
tetR dissociation constant0.179nanomoleshttp://parts.mit.edu/igem07/index.php/ETHZ/Parameters
CI dissociation constant50nanomoleshttp://parts.mit.edu/igem07/index.php/ETHZ/Parameters
CI434 dissociation constant40nanomoleshttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
GAL4 dissociation constant0.5nanomoleshttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
AraC dissociation constant14nanomoleshttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
T7 dissociation constant2nanomoleshttps://2009.igem.org/Team:PKU_Beijing/Modeling/Parameters
LacI dissociation constant800nanomoleshttp://parts.mit.edu/igem07/index.php/ETHZ/Parameters
Mnt dissociation constant50nanomolesEstimate
LovTAP → LovTAP* reaction rate0.11/secEstimate
SupD + T7ptag → T7 reaction rate0.11/secEstimate

For a complete list of values and sensitivities, please see our soon-to-be updated [http://brownigem.com/parameters_2010.ods spreadsheet of parameters and sensitivities].

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