Difference between revisions of "Degradation of C"

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|<math>d_{C}</math>
|<math>0-0.001</math> <ref name="Takano2006"> [http://www.mrc-lmb.cam.ac.uk/genomes/awuster/wecb/Takano_2006.pdf E. Takano. ''γ-butyrolactones: Streptomyces signalling molecules regulating antibiotic production and differentiation.'' Current Opinion in Microbiology, 9(3):287–294, 2006.]</ref> <ref name="Chen2005"> [http://ac.els-cdn.com/S0168165605000295/1-s2.0-S0168165605000295-main.pdf?_tid=1214eff2-74f5-11e5-a95e-00000aacb35f&acdnat=1445103342_a62ad340ee40c16e2887cfe9a7818772 Chen CC., Riadi L., Suh S.J., Ohman D.E., Ju L.K. ''Degradation and synthesis kinetics of quorum-sensing autoinducer in Pseudomonas aeruginosa cultivation.'' J Biotechnol. 2005;117(1):1-10.]</ref>
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|<math>2.86 \cdot 10^{-4}-2 \cdot 10^{-2}</math> <ref name="Takano2006"> [http://www.mrc-lmb.cam.ac.uk/genomes/awuster/wecb/Takano_2006.pdf E. Takano. ''γ-butyrolactones: Streptomyces signalling molecules regulating antibiotic production and differentiation.'' Current Opinion in Microbiology, 9(3):287–294, 2006.]</ref> <ref name="Chen2005"> [http://ac.els-cdn.com/S0168165605000295/1-s2.0-S0168165605000295-main.pdf?_tid=1214eff2-74f5-11e5-a95e-00000aacb35f&acdnat=1445103342_a62ad340ee40c16e2887cfe9a7818772 Chen CC., Riadi L., Suh S.J., Ohman D.E., Ju L.K. ''Degradation and synthesis kinetics of quorum-sensing autoinducer in Pseudomonas aeruginosa cultivation.'' J Biotechnol. 2005;117(1):1-10.]</ref>
 
|<math> min^{-1} </math> <ref name="Weber2011"> [http://www.biomedcentral.com/content/pdf/1752-0509-5-11.pdf Weber M., Buceta J. ''Noise regulation by quorum sensing in low mRNA copy number systems.'' BMC Systems Biology 2011, 5:11]</ref> <ref name="Kaufmann2005"> [http://www.ncbi.nlm.nih.gov/pmc/articles/PMC544315/pdf/pnas-0408639102.pdf Kaufmann GF, Sartorio R, Lee SH, Rogers CJ, Meijler MM, Moss JA, Clapham B, Brogan AP, Dickerson TJ, Janda KD. ''Revisiting quorum sensing: Discovery of additional chemical and biological functions for 3-oxo-N-acylhomoserine lactones.'' Proc Natl Acad Sci U S A. 2005;102(2):309-14.]</ref>
 
|<math> min^{-1} </math> <ref name="Weber2011"> [http://www.biomedcentral.com/content/pdf/1752-0509-5-11.pdf Weber M., Buceta J. ''Noise regulation by quorum sensing in low mRNA copy number systems.'' BMC Systems Biology 2011, 5:11]</ref> <ref name="Kaufmann2005"> [http://www.ncbi.nlm.nih.gov/pmc/articles/PMC544315/pdf/pnas-0408639102.pdf Kaufmann GF, Sartorio R, Lee SH, Rogers CJ, Meijler MM, Moss JA, Clapham B, Brogan AP, Dickerson TJ, Janda KD. ''Revisiting quorum sensing: Discovery of additional chemical and biological functions for 3-oxo-N-acylhomoserine lactones.'' Proc Natl Acad Sci U S A. 2005;102(2):309-14.]</ref>
 
|<math>6.7 \cdot 10^{-5} s^{-1}</math><ref name="Mehra2008"></ref><ref name="Chatterjee2011"></ref>
 
|<math>6.7 \cdot 10^{-5} s^{-1}</math><ref name="Mehra2008"></ref><ref name="Chatterjee2011"></ref>

Revision as of 19:21, 17 October 2015

The SCB protein (C) degrades.

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Chemical equation

C\rightarrow \varnothing

Rate equation

 r= d_{C}\cdot[C]

Parameters

The parameter of this reaction is the degradation rate of C (d_{C}). The parameter values were derived from measurements and estimations of autoinducer degradation rates from other bacteria (AHL, PAI2).

Name Value Units Value in previous GBL models [1] [2] Remarks-Reference
d_{C} 2.86 \cdot 10^{-4}-2 \cdot 10^{-2} [3] [4]  min^{-1} [5] [6] 6.7 \cdot 10^{-5} s^{-1}[1][2]

(Range tested: 0-2 \cdot 10^{-4} s^{-1})

(Bistability range: 0-0.0085 s^{-1}[1]

and 6.7 \cdot 10^{-6}-6.7 \cdot 10^{-3} s^{-1}[2])

Chen et al. empirically calculated the degradation rate of the autoinducer PAI2 in Pseudomonas aeruginosa cultures and reported a best-fit degradation constant of 0.195 h^{-1} (0.00325 min^{-1}).
Chen et al. 2005[4]

Additionally, the degradation rates of the quorum sensing autoinducer AHL have been measured in vitro by Kaufmann et al. and the reported rates for different AHLs are between 4.77 \cdot 10^{-6}-3.07 \cdot 10^{-5} s^{-1} (2.86 \cdot 10^{-4}-1.84 \cdot 10^{-3} min^{-1}). Weber et al. also reported that the degradation rate of AHL in vivo has been estimated, and is within the range 5 \cdot 10^{-3}-2 \cdot 10^{-2} min^{-1}.

  • Kaufmann et al. 2005[6]
  • Weber et al. 2011[5]

With regards to SCBs in particular, according to a review by E. Takano these molecules are very stable and can be still detected after more than 12h into stationary phase.

E. Takano 2006[3]

Therefore, we can assume that the degradation rate of SCB is slower than the ones reported for other autoinducers and will not exceed the value 2 \cdot 10^{-2} min^{-1}.

Parameters with uncertainty

The most plausible parameter value for the d_{C} is decided to be  0.0002 min^{-1} and the confidence interval  2 . This means that the mode of the PDF is 0.0002 and the range where 95% of the values are found is between 0.0001 and 0.0004 min^{-1}.

The probability distribution for the parameter, adjusted accordingly in order to reflect the above values, is the following:

500px

The location and scale parameters of the distribution are:

Parameter μ σ
d_{C} -8.4046 0.3356

References