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. 2013 Sep 15;140(18):3858–3868. doi: 10.1242/dev.096214

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© 2013. Published by The Company of Biologists Ltd

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution and reproduction in any medium provided that the original work is properly attributed.

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Fig. 6. — Modelling FasIII-induced adhesion in the hindgut. Two-dimensional representations of the stage 15 Drosophila hindgut showing lateral membranes (green). Vertices in contact with the rectum (R) are fixed during all of the simulations. (A) Initial topology of hindgut structure. (B) Surface energy minimised hindgut model for σ̂ = 0.5 representing the FasIII mutant condition. The angle with respect to the midline is 111°. (C) The effect of lateralised FasIII (red membranes) in 18 red lateral membranes where σ̂^FasIII = 0.35. The angle with respect to the midline increases to 136°; also note the increase in the length of the lateral membranes of cells on the inside of the curve (l_i) relative to the outside of the curve (l_o). (D) Simulation of uniformly lateralised FasIII (σ̂^FasIII = 0.35). Angle with respect to the midline is now 114°. (E) Energy functions of the hindgut structures shown in A-C after 1000 successive iterations of the conjugate gradient method. The energy axis is dimensionless as energy is scaled by σ^M . (F) Tracks showing the change in the morphology of the hindgut over the range 0.2 ≤ σ̂^FasIII ≤ 0.5. (G) Ratio of lateral membrane length on the inside:outside (l_i:l_o) of wild-type and Df(1)os1A embryos. Error bars represent s.e.m.

Inline graphic — Modelling FasIII-induced adhesion in the hindgut. Two-dimensional representations of the stage 15 Drosophila hindgut showing lateral membranes (green). Vertices in contact with the rectum (R) are fixed during all of the simulations. (A) Initial topology of hindgut structure. (B) Surface energy minimised hindgut model for σ̂ = 0.5 representing the FasIII mutant condition. The angle with respect to the midline is 111°. (C) The effect of lateralised FasIII (red membranes) in 18 red lateral membranes where σ̂^FasIII = 0.35. The angle with respect to the midline increases to 136°; also note the increase in the length of the lateral membranes of cells on the inside of the curve (l_i) relative to the outside of the curve (l_o). (D) Simulation of uniformly lateralised FasIII (σ̂^FasIII = 0.35). Angle with respect to the midline is now 114°. (E) Energy functions of the hindgut structures shown in A-C after 1000 successive iterations of the conjugate gradient method. The energy axis is dimensionless as energy is scaled by σ^M . (F) Tracks showing the change in the morphology of the hindgut over the range 0.2 ≤ σ̂^FasIII ≤ 0.5. (G) Ratio of lateral membrane length on the inside:outside (l_i:l_o) of wild-type and Df(1)os1A embryos. Error bars represent s.e.m.