An active flow network is a graph with edges and nodes, where particles inside this graph are propelled by an active mechanism.[1][2] This type of network is used to study the motion of molecules in biological medium. Examples are organelles, including the Endoplasmic Reticulum (ER).[3] The mechanism of the flow between nodes is actively driven, as opposed to passive transport by diffusion.[4] Active transport requires energy consumption, found in the form of ATP in biological systems. The slime mold Physarum polycephalum is also growing as a network[5], where motion inside is driven an active flow.
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Stochastic cycle selection in active flow networks
Francis G. Woodhouse, Aden Forrow, Joanna B. Fawcett, Jörn Dunkel
Proceedings of the National Academy of Sciences Jul 2016, 113 (29) 8200-8205; DOI: 10.1073/pnas.1603351113
^Mauro., Garavello (2006). Traffic flow on networks. American Institute of Mathematical Sciences. ISBN 1-60133-000-6. OCLC 255485562.
^Voeltz, Gia K; Rolls, Melissa M; Rapoport, Tom A (2002-10-01). "Structural organization of the endoplasmic reticulum". EMBO Reports. 3 (10): 944–950. doi:10.1093/embo-reports/kvf202. ISSN 1469-221X. PMC 1307613. PMID 12370207.
^Lamberson, P. J. (2016-04-14). Bramoullé, Yann; Galeotti, Andrea; Rogers, Brian W (eds.). "Diffusion in Networks". The Oxford Handbook of the Economics of Networks. pp. 478–503. doi:10.1093/oxfordhb/9780199948277.013.11. ISBN 978-0-19-994827-7. Retrieved 2021-08-13.
^Alim, Karen; Amselem, Gabriel; Peaudecerf, François; Brenner, Michael P.; Pringle, Anne (2013-08-13). "Random network peristalsis in Physarum polycephalum organizes fluid flows across an individual". Proceedings of the National Academy of Sciences. 110 (33): 13306–13311. Bibcode:2013PNAS..11013306A. doi:10.1073/pnas.1305049110. PMC 3746869. PMID 23898203.
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