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. 2016 Apr 1;15(6):1577–1600. doi: 10.1007/s10237-016-0784-3

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© The Author(s) 2016

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided 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.

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Fig. 12 — The proteins over time in slice plots following the time-dependent reaction–diffusion-sourcing equations. From left to right: VEGF, DLL4, uPA and MMP. Diffusion of the initial VEGF distribution can be observed. Furthermore, sourcing of the other three proteins at the locations of tip cells and diffusion into the surroundings can be observed. MMP and uPA react at a faster rate than DLL4 due to the abundant presence of the substrate components. At the bottom, histograms of the concentrations VEGF, DLL4, uPA and MMP (same order) are shown in terms of values experienced by the cells. This figure is taken after approximately 1 h of simulated time (time $=$ 3371 s)