Difference between revisions of "Degradation of C"

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(Parameters)
(Parameters)
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== Parameters ==
 
== Parameters ==
  
The parameter of this reaction is the degradation rate of C (<math>d_{C}</math>).
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The parameter of this reaction is the degradation rate of C (<math>d_{C}</math>). The parameter values were derived from measurements and estimations of autoinducer degradation rates from other bacteria (AHL, PAI2).  
  
 
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</ul></div>
 
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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.
 
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[[Image:DC-text4.png|center|thumb|350px|E. Takano 2006<ref name="Takano2006"></ref>]]
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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 <math>2 \cdot 10^{-2} min^{-1}</math>.
! Name
 
! Value
 
! Units
 
! Origin
 
! Remarks
 
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|<math>d_{C}</math>
 
|<math>0-0.001</math> <ref name="Trötschel2013"> S. Basu, Y. Gerchman, C. H. Collins, F. H. Arnold & R. Weiss. ''A synthetic multicellular system for programmed pattern formation''. Nature 434, 1130-1134, 2005</ref>  
 
| <math>min^{-1}</math>
 
| Degradation rate of acyl-homoserine lactone (AHL)
 
| The assumption that the degradation of SCB1 is slower than
 
AHL is made, as described in Takano(2006)<ref name="Takano2006"> E. Takano. ''γ-butyrolactones: Streptomyces signalling molecules regulating antibiotic production and differentiation.'' Current Opinion in Microbiology, 9(3):287–294, 2006.</ref>
 
 
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Revision as of 19:19, 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} 0-0.001 [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