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. 2017 Jun 19;8:15863. doi: 10.1038/ncomms15863

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Copyright © 2017, The Author(s)

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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(a) Bifurcation diagram showing the B components of the fixed points , , and as a function of the total actin concentration A. SN and WI mark the locations of the saddle node and Hopf bifurcations. (b) Dispersion relation of the linearized system around , respectively representing the stability properties at three values of A: i (unstable to waves), WI (onset of wave instability), and ii (stable). The wave instability is identified by a positive real part and non-zero imaginary part of ω, whereas negative real parts of ω correspond to linearly stable uniform states.

Inline graphic — (a) Bifurcation diagram showing the B components of the fixed points , , and as a function of the total actin concentration A. SN and WI mark the locations of the saddle node and Hopf bifurcations. (b) Dispersion relation of the linearized system around , respectively representing the stability properties at three values of A: i (unstable to waves), WI (onset of wave instability), and ii (stable). The wave instability is identified by a positive real part and non-zero imaginary part of ω, whereas negative real parts of ω correspond to linearly stable uniform states.