Team:Bielefeld-Germany/Results/Characterization/K389016

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(Transfer function of K389016)
(Data analysis for K389016)
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with the amount of product P, the cell count X and the specific production rate q<sub>P</sub>.  
with the amount of product P, the cell count X and the specific production rate q<sub>P</sub>.  
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RFU is commensurate to the concentration of mRFP (P) and the OD<sub>600</sub> is commensurate to the cell count (X) ([[http://partsregistry.org/Part:BBa_F2620:Experience/Endy/Data_analysis | Canton and Labno, 2004]]):  
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RFU is commensurate to the concentration of mRFP (P) and the OD<sub>600</sub> is commensurate to the cell count (X) ([http://partsregistry.org/Part:BBa_F2620:Experience/Endy/Data_analysis Canton and Labno, 2004]):  

Revision as of 00:18, 28 October 2010

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Contents

Characterization of <partinfo>K389016</partinfo>

On this page the experiments and results that lead to the <partinfo>K389016</partinfo> characterization data presented on our characterization page are shown in detail.

Growth functions and mRFP expression for <partinfo>K389016</partinfo>

To characterize this part we performed several cultivations with different concentrations of acetosyringone as inducer and measured the fluorescence emitted by mRFP ( Protocol). We used Escherichia Coli DB3.1 carrying the pSB1C3::K389016 plasmid. Even without inducer the bacteria carrying the plasmid showed decelerated growth. In addition acetosyringone affected the growth rates (we used a stock solution of 20 mM acetosyringone solved in 10 % (v/v) DMSO). Growth curves, averaged specific growth rates and doubling times are shown below. It can be observed, that E. coli carrying the pSB1C3::K389016 plasmid growths nearly linear.


Fig. 1: Growth curves for E. coli DB3.1 without plasmid and carrying <partinfo>K389016</partinfo> with different acetosyringone concentrations in LB medium with 10 mg ml-1 chloramphenicol.


The specific growth rates µ and doubling times td are calculated with the OD600 and following formulas:

Bielefeld Specific growth rate.jpg
(1)


Bielefeld Doubling time.jpg
(2)


Table 1: Averaged specific growth rates and doubling times for cultivations of E. coli DB3.1 without plasmid and carrying <partinfo>K389016</partinfo> with different acetosyringone concentrations in LB medium with 10 mg ml-1 chloramphenicol.
E. coli DB3.1 µ / h-1 td / h
without plasmid 0.35 1.98
carrying K389016 0.27 2.57
carrying K389016 with 150 µM acetosyringone 0.25 2.77
carrying K389016 with 1000 µM acetosyringone 0.23 3.01


Exemplary induction curves with the fluorescence normalized to OD600 are shown in Fig.2. We observed a basal transcription, but the induction with acetosyringone is undoubtedly. The detailed data analysis and transfer function is described below.


Fig. 2: Induction Curves for E. coli DB3.1 carrying <partinfo>K389016</partinfo> with different acetosyringone concentrations in LB medium with 10 mg ml-1 chloramphenicol. The relative fluorescence units are normalized to OD600 and plotted against the ime in h

Transfer function of <partinfo>K389016</partinfo>

The data for the transfer function was measured and analyzed as described below. [http://www.nature.com/nature/journal/v416/n6877/abs/nature726.html Nelson et al. (2002)] suggest using a dose response function and fitting it with a logistical equation for the data analysis of receptor systems. The data was fitted with a function of the form


Bielefeld Doseresponse fit.jpg
(3)


with the Hill coefficient p, the bottom asymptote A1, the top asymptote A2 and the switch point log(x0). Figure 3 shows the measured normalized specific production rates qP,n (eq. 8) plotted against the logarithm of the concentration of the inductor [http://www.chemblink.com/products/2478-38-8.htm acetosyringone] in µM. The fit has an R2 = 0.99.


Fig. 3: Transfer function for the part <partinfo>K389016</partinfo> (R2 = 0.99).


The important data from the transfer function is summarized in table 2:


Table 2: Data from the transfer function for the part <partinfo>K389016</partinfo>.
Parameter Value
Hill coefficient 1.673
[http://partsregistry.org/Switch_Point Switch point] 26.5 µM
Top asymptote 2.62


So the fully induced VirA/G signaling system has a 2.6 fold increased expression compared to the uninduced system. The Hill coefficient is > 1, so a positive cooperation can be observed ([http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WMD-4V42JG5-1&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=b6431553217aca1129c5b441f4b78425 D Chu et al., 2009]). The [http://partsregistry.org/Switch_Point switch point] of the system is at about 25 µM, so this is the concentration at which the device output is 50% of the maximum output.

Data analysis for <partinfo>K389016</partinfo>

The data analysis is made in three steps. First step is the processing of the fluorescence raw data gained by the fluorescence plate reader for every sample:


Bielefeld RFU corrected.jpg
(4)


In the second step the RFUcorrected of every sample is plotted against the cultivation time it was drawn. The data is fitted by an exponential fit of the following style:


Bielefeld Expfit.jpg
(5)


The accumulation of mRFP in the cells is always exponential. A typical fitted product accumulation curve is shown below:


Fig. 4: Exponential fit on the measured RFU plotted against cultivation time of a cultivation of <partinfo>K389016</partinfo> in Escherichia coli DB3.1 in LB medium with 10 mg ml-1 chloramphenicol and 150 µM acetosyringone.


The product accumulation in a cultivation can be described as:


Bielefeld Produktbildung.jpg
(6)


with the amount of product P, the cell count X and the specific production rate qP.

RFU is commensurate to the concentration of mRFP (P) and the OD600 is commensurate to the cell count (X) ([http://partsregistry.org/Part:BBa_F2620:Experience/Endy/Data_analysis Canton and Labno, 2004]):


Bielefeld RFUpropP.jpg
(7)
Bielefeld ODpropX.jpg
(8)


With these assumptions it is possible to calculate the specific production rate of mRFP qP in the third step: the specific production rate for every sample of a cultivation is calculated by the derivation of the exponential fit line which describes the accumulation of product in the culture (dRFU/dt) and the measured OD600 data:


Bielefeld specific production rate.jpg
(9)


The specific production rates qP of all samples of all cultivations made with a specific inductor concentration c are averaged and normalized against the specific production rate of the uninduced system qP,0:


Bielefeld QPN.jpg
(10)


This normalized specific production rate we calculated is commensurate to relative promotor units (RPU) which is commensurate to PoPS (polymerase per seconds) ([http://partsregistry.org/Part:BBa_F2620:Experience/Endy/Data_analysis Canton and Labno, 2004]; [http://partsregistry.org/Part:BBa_J23101:Experience Pasotti et al., 2009]):


Bielefeld QPNRPUPoPS.jpg
(11)

Plasmid conformation analysis

A plasmid conformation analysis for the BioBrick <partinfo>K389016</partinfo> in <partinfo>pSB1C3</partinfo> was performed by the [http://web.plasmidfactory.com/de/ PlasmidFactory] by Capillary Gel Electrophoresis (CGE). The chromatogram is shown in fig. 5 and the results in tab. 3. The data shows a high percentage of covalently closed circular (ccc) plasmid DNA. This is the biological active shape of plasmids so a high percentage of ccc plasmid DNA indicates a high quality of plasmid DNA ([http://web.plasmidfactory.com/en/service_CGE.html PlasmidFactory]).


Fig. 5: Chromatogram of the CGE of the BioBrick <partinfo>K389016</partinfo> in <partinfo>pSB1C3</partinfo> performed by the [http://web.plasmidfactory.com/de/ PlasmidFactory] (Bielefeld).


Table 3: Data from the CGE of the BioBrick <partinfo>K389016</partinfo> in <partinfo>pSB1C3</partinfo> performed by the [http://web.plasmidfactory.com/de/ PlasmidFactory] (Bielefeld).
Conformation Ratio / %
ccc monomer 91.2
ccc dimer 3.2
oc 5.6

Different possible inducers

A list of testet possible inducers for a VirA/G signaling system is shown in tab. 4. These inducers where testet as a mix. The specific production rate of mRFP qP measured as described above for the mix did not significantly differ from the synthesis rate of the uninduced system (t-Test, p < 0.005). So none of the possible inducers listet in tab. 4 induce the VirA/G signaling system significantly in the measured concentration range. In tab. 4 the chemical structures of the testet possible inducers are shown, too. Acetosyringone is also in tab. 4 although it was not testet in the inducer mix to show the chemical similarity of the testet possible inducers to the natural inducer of the VirA/G signaling system.

For more information about the possible inducers click here.


Table 4: Testet possible inducers for a VirA/G signaling system and acetosyringone with concentrations and chemical structure that were tested.
Inducer Concentration / µM Chemical structure
Capsaicin 200
Dopamine 200
Homovanillic acid 200
3-Methoxytyramine 200
Acetosyringone 200

References

Canton B and Labno A (2004) [http://partsregistry.org/Part:BBa_F2620:Experience/Endy/Data_analysis Data processing of Part BBa_F2620].

Chu D, Zabet NR, Mitavskiy B (2009) [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WMD-4V42JG5-1&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=b6431553217aca1129c5b441f4b78425 Models of transcription factor binding: Sensitivity of activation functions to model assumptions], J Theor Biol 257(3):419-429.

Greg Nelson, Jayaram Chandrashekar, Mark A. Hoon, Luxin Feng, Grace Zhao, Nicholas J. P. Ryba & Charles S. Zuker (2002) [http://www.nature.com/nature/journal/v416/n6877/abs/nature726.html An amino-acid taste receptor ], Nature 416: 199-202.

Pasotti L, Zucca S, Del Fabbro E (2009) Characterization experiment on BBa_J23100, BBa_J23101, BBa_J23118, http://partsregistry.org/Part:BBa_J23101:Experience.

[http://web.plasmidfactory.com/en/service_CGE.html PlasmidFactory]