Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

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.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.

from$8.99

All prices are NET prices.

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

References

  1. 1

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

  2. 2

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

    ADS  CAS  Article  Google Scholar 

  3. 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)

    ADS  CAS  Article  Google Scholar 

  4. 4

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

    Google Scholar 

  5. 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. 6

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

    CAS  Article  Google Scholar 

  7. 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. 8

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

    MATH  Google Scholar 

  9. 9

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

    Book  Google Scholar 

Download references

Author information

Affiliations

Authors

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.

Corresponding author

Correspondence to Yang-Yu Liu.

PowerPoint slides

Rights and permissions

Reprints and Permissions

About this article

Cite this article

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

Download citation

Further reading

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing