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A synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You Molecular Systems Biology 4:187 (2008) Presented by Kelly Drinkwater 20.385 Week 13 May 5, 2010

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Page 1: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

A synthetic E.coli predator-prey ecosystem

FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L YouMolecular Systems Biology 4:187 (2008)

Presented by Kelly Drinkwater20.385 Week 13May 5, 2010

Page 2: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Predator-prey oscillation

Frank Hoppensteadt. “Prey-Predator Cycles”. <http://www.scholarpedia.org/article/Predator-prey_model>

Page 3: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Translating into E.coliusing AHL signals

Note IPTG induction of cooperationat Plac/ara-1

Page 4: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Microchemostats

Page 5: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

It oscillates!

Page 6: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

First round of assumptions

• Logistic cell growth• First-order decay • Constant synthesis of AHLs• Simplified kinetics• No basal promoter activity• Ignore diffusion in medium• No crosstalk AHL1/AHL2

Page 7: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Quasi-steady-state assumptions

• mRNA, LuxR, LasR, and ccdB are steady

• QSSA really means “changes fast compared to gene regulation & cell growth”

• Further QSSAs changed qualitative behavior, killed oscillation completely.

Page 8: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Final simplifieddiffEQ model

Noise terms

c1 = predatorsc2 = preyAe1 = predator signalAe2 = prey signaldci = cell death rate constK1 = regulator synthesisβ = cooperativityD = dilution ratekAi = signal synthesisdAei = signal decay

Page 9: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Recall...

Page 10: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

IPTG changes system behavior

Page 11: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Modeling effect of IPTG(Predator, Prey)

Oscillation

No oscillation Hopf bifurcation:system eigenvaluecrosses imaginary axis,qualitative behaviorchange

Page 12: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

System is not stable in cells

• Hard to avoid: ccdB exerts strong evolutonary pressure

• Makes time-courses short and messy due to microchemostat

• Lesson: Kill-switch design is hard

Page 13: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Contributions

• Constructed working predator-prey system

• Pioneered use of microchemostat

• Modeled system behavior under different conditions

Page 14: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Synthetic cooperation in engineered yeast populationsW Shou, S Ram, JMG VilarPNAS 104:6 (2007)

Page 15: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

CoSMO• Big contribution:

STABILITY

• Auxotrophy-based codependence (recommended to my 20.20 group)

• Useful basis for many kinds of cooperative systems

Page 16: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Problem: nutrients release w/ cell death

Why not export metabolites??

Page 17: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

But it still seems to work

+ overproductionof Ade/Lys

Page 18: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Viability depends on initial conditions

Page 19: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Population ratio stabilizes near 1:1

Range:~1:5 - 5:1

Page 20: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Increased robustness over long term

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inocula w/

various R:Y

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Round-0

Round-1

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How? Evolved better metabolite sharing?

Page 21: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Contributions

• Built symmetrically cooperating yeast system

• Stable over the long term

• Derived constraints on viable initial conditions

• Demonstrated convergence to a small population ratio

Page 22: A synthetic E - Amazon S3 · PDF fileA synthetic E.coli predator-prey ecosystem FK Balagaddé, H Song, J Ozaki, CH Collins, M Barnet, FH Arnold, SR Quake, L You ... • Ignore diffusion

Considerations for biofuels project

• Use auxotrophy-based codependence instead of inducer-based (evolutionarily stable)

• Tune final population ratio for best nutrient recycling

• Take care with initial conditions, possibly supplement cultures at first

• Self-regulation strictly necessary? (Probably still a good idea)