Team:University College London/Module 3/Modelling

From 2012.igem.org

(Difference between revisions)
(Modelling)
(Modelling)
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| PEPOPex || 9.24E-5 || Persistent organic pollutants (ex = extracellular) that are adhered to the plastic surface
| PEPOPex || 9.24E-5 || Persistent organic pollutants (ex = extracellular) that are adhered to the plastic surface
|-
|-
-
| POPin || 0.5 || Persistent organic pollutants (in = intracellular)  
+
| POPin || 0.5 || Persistent organic pollutants (in = intracellular) assumed from <i>E. coli</i> membrane permeability
|-
|-
| mRNANahR || 0.0|| NahR mRNA product
| mRNANahR || 0.0|| NahR mRNA product
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| POPinNahR || 0.0|| Complex of the above two molecules
| POPinNahR || 0.0|| Complex of the above two molecules
|-
|-
-
| POPinNahRPsal || 0.0 || Complex of the above molecule and Psal (promoter that induces laccase transcription)
+
| POPinNahRpSal || 0.0 || Complex of the above molecule and pSal (promoter that induces laccase transcription)
|-
|-
| Lin|| 0.0 || Intracellular laccase
| Lin|| 0.0 || Intracellular laccase
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| LinmRNA || 0.0 || Laccase mRNA product
| LinmRNA || 0.0 || Laccase mRNA product
|-  
|-  
-
| Ldegp || 0.0 || Laccase that degrades due to nonoptimal conditions and malformed laccase that cannot carry out polyethylene degradation
+
| Ldegp || 0.0 || Laccase that degrades due to suboptimal conditions and malformed laccase that cannot carry out polyethylene degradation
|-
|-
| PEdegp || 0.0 || Polyethylene degraded by laccase
| PEdegp || 0.0 || Polyethylene degraded by laccase
|}
|}
-
{| class="wikitable"
+
{| class="bigtable"
|-
|-
! Number !! Reaction !! Reaction rate (molecules/sec) !! Notes  
! Number !! Reaction !! Reaction rate (molecules/sec) !! Notes  
|-
|-
-
| R1 || PE + POPex ↔ PEPOPex || Forward: 1000 <br /> Backward: 1 || Pops have 1000 times greater tendency to adhere to plastic than float free in the ocean
+
| R1 || PE + POPex ↔ PEPOPex || Forward: 1000 <br /> Backward: 1 || Pops have 1000 to 10000 times greater tendency to adhere to plastic than float free in the ocean
|-
|-
| R2 || POPex ↔ POPin || Forward: 0.6 <br /> Backward: 0.4 || Based on membrane permeability: diffusion gradient
| R2 || POPex ↔ POPin || Forward: 0.6 <br /> Backward: 0.4 || Based on membrane permeability: diffusion gradient
|-
|-
-
| R3 || POPin + mRNA.Nahr → POPin.mRNA.Nahr || Forward: 1 <br /> Backward: 0.0001 || The chemical structure/size of POPs is similar to salycilate which is the original compound that react to mRNA.Nahr -> 0 (??)
+
| R3 || POPin + mRNA.Nahr → POPin.mRNA.Nahr || Forward: 1 <br /> Backward: 0.0001 || Based on the assumption that the chemical structure/size of POPs is similar to salycilate. Salycilate binds to the NahR mRNA product, which complex then binds to the pSal promoter.
|-
|-
-
| R9 || 0 → mRNA.Nahr || Forward: 0.088 <br /> Backward: 0.6 || Transcription rate of NahR in molecules/sec (for NahR size 909 bp<sup>2</sup>, transcription rate in E.coli 80bp/sec)
+
| R9 || 0 → mRNA.Nahr || Forward: 0.088 <br /> Backward: 0.6 || Transcription rate of NahR in molecules/sec (for NahR size 909 bp<sup>2</sup>, transcription rate in E.coli 80bp/sec<sup>7</sup>) under constitutive promoter control
|-
|-
-
| R4 || POPinmRNANahr → POPinmRNANahr.Psal || Forward: 78200 <br /> Backward: 0.191 ||
+
| R4 || POPinmRNANahr → POPinmRNANahr.Psal || Forward: 78200 <br /> Backward: 0.191 <sup>4</sup> || NahR to pSal binding based on the assumption that POP-NahR binding has no effect on NahR-pSal binding
|-
|-
-
| R5 || POPexmRNANahr.Psal → Lin.mRNA|| 0.054 || Transcription rate of Laccase in molecules/sec (for laccase size 1500 bp<sup>1</sup>, transcription rate in E.coli 80bp/sec)
+
| R5 || POPexmRNANahr.Psal → Lin.mRNA|| 0.054 || Transcription rate of Laccase in molecules/sec (for laccase size 1500 bp<sup>1</sup>, transcription rate in E.coli 80bp/sec<sup>7</sup>)
|-
|-
-
| R6 || Lin.mRNA → Lin|| 0.04 || Translation rate of Laccase in molecules/sec (for laccase size 500 aa, translation rate in E.coli 20aa/sec)
+
| R6 || Lin.mRNA → Lin|| 0.04 || Translation rate of Laccase in molecules/sec (for laccase size 500 aa, translation rate in E.coli 20aa/sec<sup>7</sup>)
|-
|-
-
| R11 || Lin → Lindegp || 0.03 ||  
+
| R11 || Lin → Lindegp || 0.03 || Degradation rate of laccase must be taken into account due to suboptimal conditions
|-
|-
-
| R7 || Lin → Lex || Forward: 0.9 <br /> Backward: 0.1 ||
+
| R7 || Lin → Lex || Forward: 0.9 <br /> Backward: 0.1 || Our laccase is a periplasmic enzyme, therefore most of it is released in the periplasm.  However, we assumed leakage of 20 percent based on suboptimal conditions in the periplasm<sup>8</sup>, which is able to degrade polyethene.
|-
|-
-
| R8 || Lex → PEdegp || Vm: 0.01 <br /> Km: 0.114 ||
+
| R8 || Lex → PEdegp || Vm: 0.01 <br /> Km: 0.114 || Michaelis-Menten kinetics is used to represent degradation of polyethylene. As the literature values for the Km and Kcat for the polyethylene by laccase are not yet obtained experimentally for the original starin that was observed being able to degrade polyethylene(c208 ref) we made an assumption that degradation of polyethylene is similar to that of lignin (due to polymeric nature of both), values for both Km and Kcat were used from<sup>5</sup>
|}
|}
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4. Teuten E, Saquing J, Knappe D et al. (2009) Transport and release of chemicals from plastics to the environment and to wildlife. <i>Philosophical transactions of the Royal Society of London</i> 364: 2027-2045
4. Teuten E, Saquing J, Knappe D et al. (2009) Transport and release of chemicals from plastics to the environment and to wildlife. <i>Philosophical transactions of the Royal Society of London</i> 364: 2027-2045
 +
 +
7. http://kirschner.med.harvard.edu/files/bionumbers/fundamentalBioNumbersHandout.pdf
8. Young K, Silver LL (1991) Leakage of periplasmic enzymes from envA1 strains of Escherichia coli. <i>J Bacteriol.</i> 173: 3609–3614
8. Young K, Silver LL (1991) Leakage of periplasmic enzymes from envA1 strains of Escherichia coli. <i>J Bacteriol.</i> 173: 3609–3614
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4. SALYCITATE
 
-
 
-
Park H, Lim W, Shin H (2005) In vitro binding of purified NahR regulatory protein with promoter Psal. <i>Biochimica et Biophysica Acta</i> 1775: 247-255
 
-
5. LACCASE
+
4. Park H, Lim W, Shin H (2005) In vitro binding of purified NahR regulatory protein with promoter Psal. <i>Biochimica et Biophysica Acta</i> 1775: 247-255
-
Ding Z, Peng L, Chen Y, Zhang L, Gu Z, Shi G, Zhang K (2012) Production and characterization of thermostable laccase from the mushroom, Ganoderma lucidum, using submerged fermentation.  <i>African Journal of Microbiology Research</i> 6: 1147-1157.  DOI: 10.5897/AJMR11.1257
+
5. Ding Z, Peng L, Chen Y, Zhang L, Gu Z, Shi G, Zhang K (2012) Production and characterization of thermostable laccase from the mushroom, Ganoderma lucidum, using submerged fermentation.  <i>African Journal of Microbiology Research</i> 6: 1147-1157.  DOI: 10.5897/AJMR11.1257
6 Kunamneni A, Plou FJ, Ballesteros A, and Alcalde M. Laccases and their applications: A patent review.  Departamento de Biocatálisis, Instituto de Catálisis y Petroleoquímica, CSIC, Cantoblanco, 28049 Madrid, Spain.
6 Kunamneni A, Plou FJ, Ballesteros A, and Alcalde M. Laccases and their applications: A patent review.  Departamento de Biocatálisis, Instituto de Catálisis y Petroleoquímica, CSIC, Cantoblanco, 28049 Madrid, Spain.

Revision as of 11:18, 21 September 2012

Module 3: Degradation

Description | Design | Construction | Characterisation | Modelling | Results | Conclusions

Modelling

Our gene network model for this module shows the amount of laccase produced by our bacteria. We have used this prediction to find out how many bacteria would be required per cubic meter of sea water in order to effectively degrade polyethylene-based plastics.

Species Initial value (molecules) Notes
PE 0.044 Polyethylene found in North Pacific Gyre per cubic metre1,2
POPex 0.0 Persistent organic pollutants (ex = extracellular) that are not adhered to plastic surface
PEPOPex 9.24E-5 Persistent organic pollutants (ex = extracellular) that are adhered to the plastic surface
POPin 0.5 Persistent organic pollutants (in = intracellular) assumed from E. coli membrane permeability
mRNANahR 0.0 NahR mRNA product
POPinNahR 0.0 Complex of the above two molecules
POPinNahRpSal 0.0 Complex of the above molecule and pSal (promoter that induces laccase transcription)
Lin 0.0 Intracellular laccase
Lex 0.0 Extracellular laccase
LinmRNA 0.0 Laccase mRNA product
Ldegp 0.0 Laccase that degrades due to suboptimal conditions and malformed laccase that cannot carry out polyethylene degradation
PEdegp 0.0 Polyethylene degraded by laccase
Number Reaction Reaction rate (molecules/sec) Notes
R1 PE + POPex ↔ PEPOPex Forward: 1000
Backward: 1
Pops have 1000 to 10000 times greater tendency to adhere to plastic than float free in the ocean
R2 POPex ↔ POPin Forward: 0.6
Backward: 0.4
Based on membrane permeability: diffusion gradient
R3 POPin + mRNA.Nahr → POPin.mRNA.Nahr Forward: 1
Backward: 0.0001
Based on the assumption that the chemical structure/size of POPs is similar to salycilate. Salycilate binds to the NahR mRNA product, which complex then binds to the pSal promoter.
R9 0 → mRNA.Nahr Forward: 0.088
Backward: 0.6
Transcription rate of NahR in molecules/sec (for NahR size 909 bp2, transcription rate in E.coli 80bp/sec7) under constitutive promoter control
R4 POPinmRNANahr → POPinmRNANahr.Psal Forward: 78200
Backward: 0.191 4
NahR to pSal binding based on the assumption that POP-NahR binding has no effect on NahR-pSal binding
R5 POPexmRNANahr.Psal → Lin.mRNA 0.054 Transcription rate of Laccase in molecules/sec (for laccase size 1500 bp1, transcription rate in E.coli 80bp/sec7)
R6 Lin.mRNA → Lin 0.04 Translation rate of Laccase in molecules/sec (for laccase size 500 aa, translation rate in E.coli 20aa/sec7)
R11 Lin → Lindegp 0.03 Degradation rate of laccase must be taken into account due to suboptimal conditions
R7 Lin → Lex Forward: 0.9
Backward: 0.1
Our laccase is a periplasmic enzyme, therefore most of it is released in the periplasm. However, we assumed leakage of 20 percent based on suboptimal conditions in the periplasm8, which is able to degrade polyethene.
R8 Lex → PEdegp Vm: 0.01
Km: 0.114
Michaelis-Menten kinetics is used to represent degradation of polyethylene. As the literature values for the Km and Kcat for the polyethylene by laccase are not yet obtained experimentally for the original starin that was observed being able to degrade polyethylene(c208 ref) we made an assumption that degradation of polyethylene is similar to that of lignin (due to polymeric nature of both), values for both Km and Kcat were used from5

Degradationnet.jpg

We ran three simulations in SimBiology, each over a different timespan:

Deg1.png comment here?

Deg2.png comment here?

Deg3.png comment here?

1. Goldstein M, Rosenberg M, Cheng L (2012) Increased oceanic microplastic debris enhances oviposition in an endemic pelagic insect, Biology Letters 10.1098

2. Andrady AL (2011) Microplastics in the marine environment. Marine Pollution Bulletin 62: 1596-1605

1. Laccase size: http://partsregistry.org/Part:BBa_K729002

2. NahR size: http://www.xbase.ac.uk/genome/azoarcus-sp-bh72/NC_008702/azo2419;nahR1/viewer

3. Mato Y, Isobe T, Takada H, Kanehiro H, Ohtake C, Kaminuma T (2001) Plastic Resin Pellets as a Transport Medium for Toxic Chemicals in the Marine Environment. Environ. Sci. Technol. 35: 318-324

4. Teuten E, Saquing J, Knappe D et al. (2009) Transport and release of chemicals from plastics to the environment and to wildlife. Philosophical transactions of the Royal Society of London 364: 2027-2045

7. http://kirschner.med.harvard.edu/files/bionumbers/fundamentalBioNumbersHandout.pdf

8. Young K, Silver LL (1991) Leakage of periplasmic enzymes from envA1 strains of Escherichia coli. J Bacteriol. 173: 3609–3614

11.Van A, Rochman C, Flores E, Hill K, Vargas E, Vargas S, Hoh E (2012) Persistent organic pollutants in plastic marine debris found on beaches in San Diego, California. Chemosphere 86: 258-263

12. Santo M, Weitsman R, Sivan A (2012) The role of the copper-binding enzyme - laccase - in the biodegradation of polyethylene by the actinomycete Rhodococcus ruber. International Biodeterioration & Biodegradation 208: 1-7


POPS & PLASTIC QUANTITITES

Rios L, Moore C, Jones P (2007) Persistent organic pollutants carried by synthetic polymers in the ocean environment. Marine Pollution Bulletin 54: 1230–1237

Takada H, et al (2010) Global distribution of organic micropollutants in marine plastics. Report to Algalita Marine Research Institute

Heskett M, Takada H, Yamashita R, Yuyama M, Ito M, Geok YB, Ogata Y, Kwan C, Heckhausen A, Taylor H, Powell T, Morishige C, Young D, Patterson H, Robertson B, Bailey E, Mermoz J (2012) Measurement of persistent organic pollutants (POPs) in plastic resin pellets from remote islands: Toward establishment of background concentrations for International Pellet Watch. Marine Pollution Bulletin 64: 445-448


4. Park H, Lim W, Shin H (2005) In vitro binding of purified NahR regulatory protein with promoter Psal. Biochimica et Biophysica Acta 1775: 247-255

5. Ding Z, Peng L, Chen Y, Zhang L, Gu Z, Shi G, Zhang K (2012) Production and characterization of thermostable laccase from the mushroom, Ganoderma lucidum, using submerged fermentation. African Journal of Microbiology Research 6: 1147-1157. DOI: 10.5897/AJMR11.1257

6 Kunamneni A, Plou FJ, Ballesteros A, and Alcalde M. Laccases and their applications: A patent review. Departamento de Biocatálisis, Instituto de Catálisis y Petroleoquímica, CSIC, Cantoblanco, 28049 Madrid, Spain.

7. BRENDA: EC 1.10.3.2 – laccase

8. E.COLI MEMBRANE PERMEABILITY

Heskett M, Takada H, Yamashita R, Yuyama M, Ito M, Geok YB, Ogata Y, Kwan C, Heckhausen A, Taylor H, Powell T, Morishige C, Young D, Patterson H, Robertson B, Bailey E, Mermoz J (2012) Measurement of persistent organic pollutants (POPs) in plastic resin pellets from remote islands: Toward establishment of background concentrations for International Pellet Watch. Marine Pollution Bulletin 64: 445-448 is this right? This is what’s on excel

7. DIFFERENT REGULATOR SYSTEMS Wang B, Papamichail D, Mueller S, Skiena S (2007) Two Proteins for the Price of One: The Design of Maximally Compressed Coding Sequences. DOI: 10.1.1.174.6416