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Many factors must be considered, including geometry, dimensionality, and the interplay of diffusion across bulk and surfaces. To address this complexity, we investigate the diffusion process in heterogeneous media, focusing on non-Markovian diffusion. This process is limited by a surface interaction with the bulk, described by a specific boundary condition relevant to systems such as living cells and biomaterials. The surface can adsorb and desorb particles, and the adsorbed particles may undergo lateral diffusion before returning to the bulk. Different behaviors of the system are identified through analytical and numerical approaches.<\/jats:p>","DOI":"10.3390\/e26040294","type":"journal-article","created":{"date-parts":[[2024,3,27]],"date-time":"2024-03-27T13:39:56Z","timestamp":1711546796000},"page":"294","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Non-Markovian Diffusion and Adsorption\u2013Desorption Dynamics: Analytical and Numerical Results"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5883-6404","authenticated-orcid":false,"given":"Derik W.","family":"Gryczak","sequence":"first","affiliation":[{"name":"Independent Researcher, Irati 84507-012, PR, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3853-1790","authenticated-orcid":false,"given":"Ervin K.","family":"Lenzi","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade Estadual de Ponta Grossa, Ponta Grossa 84030-900, PR, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6158-3068","authenticated-orcid":false,"given":"Michely P.","family":"Rosseto","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade Estadual de Ponta Grossa, Ponta Grossa 84030-900, PR, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7202-1386","authenticated-orcid":false,"given":"Luiz R.","family":"Evangelista","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade Estadual de Maring\u00e1, Maring\u00e1 87020-900, PR, Brazil"},{"name":"Istituto dei Sistemi Complessi (ISC\u2013CNR), Via dei Taurini, 19, 00185 Rome, Italy"},{"name":"Department of Molecular Science and Nanosystems, Ca\u2019 Foscari University of Venice, Via Torino 155, 30175 Mestre (VE), Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4930-5262","authenticated-orcid":false,"given":"Rafael S.","family":"Zola","sequence":"additional","affiliation":[{"name":"Department of Physics, Universidade Tecnol\u00f3gica Federal do Paran\u00e1, Apucarana 86812-460, PR, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,3,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Hoda, N., and Kumar, S. 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