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. 2011 Apr 21;6(4):e18635. doi: 10.1371/journal.pone.0018635

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Peleg et al.

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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(a–d) Results of the diffusion(−)–adsorption(+) system. (a) Dispersion relation of point marked II in Fig. 3c. Vertical dashed line mark and horizontal dashed line marks . The slope of the imaginary part of the dispersion relation at gives us an estimate of the group velocity of the waves . (b) Simulation for short times. One can see that the convex activators are in-phase with the membrane while the convex activators are in anti-phase. Due to symmetry only half of the domain is shown. (c) Kymograph depicting the membrane height displacement as a function of space and time. (d) Steady state wave at time t = 12,500 sec (marked by the dashed line in (c)). Arrow shows direction of propagation. (e–h) Results of the diffusion(−)–diffusion(+) system. (e) Dispersion relation of point marked I in Fig. 3a. Vertical dashed line marks and horizontal dashed line marks . (f) Simulation for early times (as in (b)). (g) Kymograph depicting the membrane height displacement as a function of space and time. (h) Steady state wave at time t = 12,000 sec (marked by the dashed line (g)). Arrow shows direction of propagation. The simulations are shown in Movies S2 and S3 respectively.

Inline graphic — (a–d) Results of the diffusion(−)–adsorption(+) system. (a) Dispersion relation of point marked II in Fig. 3c. Vertical dashed line mark and horizontal dashed line marks . The slope of the imaginary part of the dispersion relation at gives us an estimate of the group velocity of the waves . (b) Simulation for short times. One can see that the convex activators are in-phase with the membrane while the convex activators are in anti-phase. Due to symmetry only half of the domain is shown. (c) Kymograph depicting the membrane height displacement as a function of space and time. (d) Steady state wave at time t = 12,500 sec (marked by the dashed line in (c)). Arrow shows direction of propagation. (e–h) Results of the diffusion(−)–diffusion(+) system. (e) Dispersion relation of point marked I in Fig. 3a. Vertical dashed line marks and horizontal dashed line marks . (f) Simulation for early times (as in (b)). (g) Kymograph depicting the membrane height displacement as a function of space and time. (h) Steady state wave at time t = 12,000 sec (marked by the dashed line (g)). Arrow shows direction of propagation. The simulations are shown in Movies S2 and S3 respectively.