The power of noise

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Thomas E. Woolley 9 February 2011Oxford University SIAM Student Chapter Conference

Robustness issues

x x

Robustness issues

x x

Deterministic doubling

Deterministic vs stochastic

Weak noise expansion

Fourier transform

Quick exponential growth

Turing systems

Excited frequencies

Weak noise expansion

• Growth can cause patterning.

• Noise excites the same modes as the Turing system.

• The noise excites modes consecutively.

Conclusions

Acknowledgements• Philip Maini• Eamonn Gaffney• Ruth Baker