COMPUTATIONAL ANALYSIS OF ITERATED FUNCTION SYSTEMS IN MYCELIAL NETWORKS

2025 · doi:10.22541/au.175803359.95557691/v1
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Abstract

An iterated function system (IFS) can be defined as a system emerging as the result of functions being iterated over some space, providing models for certain plants, leaves, and ferns, by virtue of the self-similarity which often occurs in branching structures in nature[1]. This research explores the potential use of IFSs in describing the growth of mycelial networks, the underground branching structures of fungi. By employing an IFS with nonlinear functions, this paper demonstrates the effectiveness of this approach in modeling the complex branching structures of mycelial networks. Through mathematical and computational analysis of a network's growth through IFSs, this paper shows that they provide a powerful mathematical tool for modeling and understanding the intricate architecture of these vital ecological systems.
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Abstract

An iterated function system (IFS) can be defined as a system emerging as the result of functions being iterated over some space, providing models for certain plants, leaves, and ferns, by virtue of the self-similarity which often occurs in branching structures in nature[1]. This research explores the potential use of IFSs in describing the growth of mycelial networks, the underground branching structures of fungi. By employing an IFS with nonlinear functions, this paper demonstrates the effectiveness of this approach in modeling the complex branching structures of mycelial networks. Through mathematical and computational analysis of a network's growth through IFSs, this paper shows that they provide a powerful mathematical tool for modeling and understanding the intricate architecture of these vital ecological systems. Supplementary Material File (particle_life (13).pdf) - Download - 5.01 MB Information & Authors Information Version history Copyright This work is licensed under a Non Exclusive No Reuse License.

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Authors Metrics & Citations Metrics Article Usage 196views 175downloads Citations Download citation Marcus Silver. COMPUTATIONAL ANALYSIS OF ITERATED FUNCTION SYSTEMS IN MYCELIAL NETWORKS. Authorea. 16 September 2025. DOI: https://doi.org/10.22541/au.175803359.95557691/v1 DOI: https://doi.org/10.22541/au.175803359.95557691/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.

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