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. 2017 Nov 28;46(1):83–93. doi: 10.1093/nar/gkx1200

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© The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

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Figure 4. — A critical density of bookmarks is required for stable domain formation. (A) Using the clustered pattern of bookmarks at different densities ϕ, we quantify the deviation from a ‘perfect’ block-like epigenetic pattern. To do this we define the ‘fidelity’, χ, as 1 − Δ² where Δ² = Var[P_red(i), Π(i)], i.e. the variance of the probability P_red(i) of observing a red bead at position i with respect to the perfect square wave , where n_d is the number of beads in a domain (here n_d = 100). The fidelity χ jumps abruptly from a value near its lower bound of 1/2 towards unity, at the critical ϕ_c ≃ 0.04. (B and C) Kymographs representing the behaviour of the system at the points circled in red and grey in (A).

Inline graphic — A critical density of bookmarks is required for stable domain formation. (A) Using the clustered pattern of bookmarks at different densities ϕ, we quantify the deviation from a ‘perfect’ block-like epigenetic pattern. To do this we define the ‘fidelity’, χ, as 1 − Δ² where Δ² = Var[P_red(i), Π(i)], i.e. the variance of the probability P_red(i) of observing a red bead at position i with respect to the perfect square wave , where n_d is the number of beads in a domain (here n_d = 100). The fidelity χ jumps abruptly from a value near its lower bound of 1/2 towards unity, at the critical ϕ_c ≃ 0.04. (B and C) Kymographs representing the behaviour of the system at the points circled in red and grey in (A).