{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T15:10:08Z","timestamp":1774624208786,"version":"3.50.1"},"reference-count":32,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2023,10,26]],"date-time":"2023-10-26T00:00:00Z","timestamp":1698278400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Biological systems have been shown to have quantum-like behaviors by applying the adaptive dynamics view on their interaction networks. In particular, in the process of lactose\u2013glucose metabolism, cells generate probabilistic interference patterns similarly to photons in the two-slit experiment. Such quantum-like interference patterns can be found in biological data, on all scales, from proteins to cognitive, ecological, and social systems. The adaptive dynamics approach covers both biological and physical phenomena, including the ones which are typically associated with quantum physics. We guess that the adaptive dynamics can be used for the clarification of quantum foundations, and the present paper is the first step in this direction. We suggest the use of an algorithm for the numerical simulation of the behavior of a billiard ball-like particle passing through two slits by explicitly considering the influence of the two-slit environment (experimental context). Our simulation successfully mimics the interference pattern obtained experimentally in quantum physics. The interference of photons or electrons by two slits is known as a typical quantum mechanical effect. We do not claim that the adaptive dynamics can reproduce the whole body of quantum mechanics, but we hope that this numerical simulation example will stimulate further extensive studies in this direction\u2014the representation of quantum physical phenomena in an adaptive dynamical framework.<\/jats:p>","DOI":"10.3390\/e25111487","type":"journal-article","created":{"date-parts":[[2023,10,27]],"date-time":"2023-10-27T03:33:51Z","timestamp":1698377631000},"page":"1487","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Adaptive Dynamics Simulation of Interference Phenomenon for Physical and Biological Systems"],"prefix":"10.3390","volume":"25","author":[{"given":"Tadashi","family":"Ando","sequence":"first","affiliation":[{"name":"Department of Applied Electronics, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Masanari","family":"Asano","sequence":"additional","affiliation":[{"name":"Department of Information and Computer Science, Faculty of Humanity-Oriented Science and Engineering, Kindai University, 11-6 Kayanomori, Iizuka-shi, Fukuoka 820-8555, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrei","family":"Khrennikov","sequence":"additional","affiliation":[{"name":"International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, SE-351 95 V\u00e4xj\u00f6, Sweden"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Takashi","family":"Matsuoka","sequence":"additional","affiliation":[{"name":"School of General Education and Management Studies, Suwa University of Science, 5000-1 Toyohira, Chino, Nagano 391-0292, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ichiro","family":"Yamato","sequence":"additional","affiliation":[{"name":"Department of Biological Science and Technology, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,10,26]]},"reference":[{"key":"ref_1","unstructured":"Accardi, L., Freudenberg, W., and Ohya, M. 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