{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T09:04:48Z","timestamp":1777971888382,"version":"3.51.4"},"reference-count":66,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2023,9,28]],"date-time":"2023-09-28T00:00:00Z","timestamp":1695859200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"US Army Research Laboratory","award":["W911NF-16-2-0008"],"award-info":[{"award-number":["W911NF-16-2-0008"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The transdisciplinary nature of science as a whole became evident as the necessity for the complex nature of phenomena to explain social and life science, along with the physical sciences, blossomed into complexity theory and most recently into complexitysynchronization. This science motif is based on the scaling arising from the 1\/f-variability in complex dynamic networks and the need for a network of networks to exchange information internally during intra-network dynamics and externally during inter-network dynamics. The measure of complexity adopted herein is the multifractal dimension of the crucial event time series generated by an organ network, and the difference in the multifractal dimensions of two organ networks quantifies the relative complexity between interacting complex networks. Information flows from dynamic networks at a higher level of complexity to those at lower levels of complexity, as summarized in the \u2018complexity matching effect\u2019, and the flow is maximally efficient when the complexities are equal. Herein, we use the scaling of empirical datasets from the brain, cardiovascular and respiratory networks to support the hypothesis that complexity synchronization occurs between scaling indices or equivalently with the matching of the time dependencies of the networks\u2019 multifractal dimensions.<\/jats:p>","DOI":"10.3390\/e25101393","type":"journal-article","created":{"date-parts":[[2023,9,29]],"date-time":"2023-09-29T02:47:30Z","timestamp":1695955650000},"page":"1393","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Complexity Synchronization of Organ Networks"],"prefix":"10.3390","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4961-1542","authenticated-orcid":false,"given":"Bruce J.","family":"West","sequence":"first","affiliation":[{"name":"Department of Research and Innovaton, North Carolina State University, Raleigh, NC 27606, USA"},{"name":"Center for Nonlinear Science, University of North Texas, Denton, TX 76203, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2762-9856","authenticated-orcid":false,"given":"Paolo","family":"Grigolini","sequence":"additional","affiliation":[{"name":"Center for Nonlinear Science, University of North Texas, Denton, TX 76203, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Scott E.","family":"Kerick","sequence":"additional","affiliation":[{"name":"US Combat Capabilities Command, Army Research Laboratory, Aberdeen Proving Ground, MD 21005, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Piotr J.","family":"Franaszczuk","sequence":"additional","affiliation":[{"name":"US Combat Capabilities Command, Army Research Laboratory, Aberdeen Proving Ground, MD 21005, USA"},{"name":"Department of Neurology, Johns Hopkins University School of Medicine, Baltimore, MD 21287, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1590-6115","authenticated-orcid":false,"given":"Korosh","family":"Mahmoodi","sequence":"additional","affiliation":[{"name":"US Combat Capabilities Command, Army Research Laboratory, Aberdeen Proving Ground, MD 21005, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,28]]},"reference":[{"key":"ref_1","first-page":"120","article-title":"What is complexity science, really?","volume":"3","author":"Phelan","year":"2001","journal-title":"Emerg. 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