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. 2022 Jan 25;12:1322. doi: 10.1038/s41598-022-05439-w

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© The Author(s) 2022

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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/.

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Modelled Physarum growth logic. (a) Plot showing seven reference food sources. (b) Contour plot of the force field generated from (a). (c) Surface topography showing relative attraction force intensity of (b). (d) Illustrated foraging logic for a single agent. At each frame, the noise vector is summed with the attraction vector, generated as a function of proximity to food source. (e) Screen captures of agent-based model growth over time until all food sources have been colonized. (f) Final agent path geometry, from t = 35 s. (g) Point cloud from paths in (f). (h) Mesh generated from points in (g). (i) Shortest-walk calculation to produce refined network from mesh in (h). (j–k) Biological versus modelled mesh growth with overlaid network for equivalent reference food sources.