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Liu et al. reply

Abstract

Replying to F.-J. Müller & A. Schuppert Nature 478, 10.1038/nature10543 (2011)

Müller and Schuppert1 describe an exception to our finding2 that roughly 80% of the nodes must be controlled to gain full control over gene regulatory networks. Yet our result hides subtleties that reveal as much about controllability as about the limits of our current understanding of biological networks.

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Figure 1: Controlling the central hub of a directed star will cause the system to get stuck in a particular subspace.

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References

  1. Müller, F.-J. & Schuppert, A. Few inputs can reprogram biological networks. Nature 478, 10.1038/nature10543 (this issue).

  2. Liu, Y.-Y., Slotine, J.-J. & Barabási, A.-L. Controllability of complex networks. Nature 473, 167–173 (2011)

    Article  ADS  CAS  Google Scholar 

  3. Li, F., Long, T., Lu, Y., Ouyang, Q. & Tang, C. The yeast cell-cycle network is robustly designed. Proc. Natl Acad. Sci. USA 101, 4781–4786 (2004)

    Article  ADS  CAS  Google Scholar 

  4. Waddington, C. H. The Strategy of the Genes (Geo Allen & Unwin, 1957)

    Google Scholar 

  5. Huang, S., Eichler, G., Bar-Yam, Y. & Ingber, D. Cell fates as high-dimensional attractor states of a complex gene regulatory network. Phys. Rev. Lett. 94, 1–4 (2005)

    Google Scholar 

  6. Venkatesan, K. et al. An empirical framework for binary interactome mapping. Nature Methods 6, 83–90 (2009)

    Article  CAS  Google Scholar 

  7. Barabási, A.-L., Gulbahce, N. & Loscalzo, J. Network medicine: a network-based approach to human disease. Nature Rev. Genet. 12, 56–68 (2011)

    Article  Google Scholar 

  8. Slotine, J.-J. & Li, W. Applied Nonlinear Control (Prentice-Hall, 1991)

    MATH  Google Scholar 

  9. Isidori, A. Nonlinear Control Systems (Springer, 1995)

    Book  Google Scholar 

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Contributions

All authors designed and did the research. Y.-Y.L. analysed the empirical data and did the analytical and numerical calculations. A.-L.B. was the lead writer of the manuscript.

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Correspondence to Yang-Yu Liu.

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Liu, YY., Slotine, JJ. & Barabási, AL. Liu et al. reply. Nature 478, E4–E5 (2011). https://doi.org/10.1038/nature10544

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