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Acknowledgements

A.S. is supported by the Chris Rokos Fellowship in Evolution and Cancer and by Cancer Research UK (A22909). T.A.G. is supported by Cancer Research UK (A19771). C.P.B. is supported by the Wellcome Trust (097319/Z/11/Z). B.W. is supported by the Geoffrey W. Lewis Post-Doctoral Training fellowship. A.S. and T.A.G. are jointly supported by the Wellcome Trust (202778/B/16/Z and 202778/Z/16/Z, respectively). This work was also supported by Wellcome Trust funding to the Centre for Evolution and Cancer (105104/Z/14/Z).

Author information

Affiliations

  1. Evolutionary Genomics and Modelling Lab, Centre for Evolution and Cancer, The Institute of Cancer Research, London, UK

    • Benjamin Werner
    •  & Andrea Sottoriva
  2. Evolution and Cancer Laboratory, Barts Cancer Institute, Queen Marry University of London, London, UK

    • Marc J. Williams
    •  & Trevor A. Graham
  3. Department of Cell and Developmental Biology, University College London, London, UK

    • Marc J. Williams
    •  & Chris P. Barnes
  4. Centre for Mathematics and Physics in the Life Sciences and Experimental Biology (CoMPLEX), University College London, London, UK

    • Marc J. Williams
  5. Department of Genetics, Evolution and Environment, University College London, London, UK

    • Chris P. Barnes

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Contributions

B.W. performed mathematical analysis. M.J.W. performed simulation analysis. All authors participated in the discussion, conceived and designed the response, and wrote the manuscript.

Competing interests

The authors declare no competing interests.

Corresponding author

Correspondence to Andrea Sottoriva.

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DOI

https://doi.org/10.1038/s41588-018-0235-4

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