{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T16:54:52Z","timestamp":1770742492506,"version":"3.49.0"},"reference-count":36,"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\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The present work extends a previous paper where an agent-based and two-dimensional partial differential diffusion model was introduced for describing immune cell dynamics (leukocytes) in cancer-on-chip experiments. In the present work, new features are introduced for the dynamics of leukocytes and for their interactions with tumor cells, improving the adherence of the model to what is observed in laboratory experiments. Each system\u2019s solution realization is a family of biased random walk trajectories, affected by the chemotactic gradients and in turn affecting them. A sensitivity analysis with respect to the model parameters is performed in order to assess the effect of their variation on both tumor cells and on leukocyte dynamics.<\/jats:p>","DOI":"10.3390\/axioms12100930","type":"journal-article","created":{"date-parts":[[2023,9,29]],"date-time":"2023-09-29T07:42:08Z","timestamp":1695973328000},"page":"930","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Sensitivity Analysis of a 2D Stochastic Agent-Based and PDE Diffusion Model for Cancer-on-Chip Experiments"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9757-6310","authenticated-orcid":false,"given":"Marcello","family":"Pompa","sequence":"first","affiliation":[{"name":"Institute of Systems Analysis and Informatics \u201cA. Ruberti\u201d (IASI), National Research Council of Italy, Via dei Taurini 19, 00185 Rome, Italy"}]},{"given":"Davide","family":"Torre","sequence":"additional","affiliation":[{"name":"CNR\u2014Institute for Applied Mathematics \u201cMauro Picone\u201d, University Campus Biomedico of Rome, LUISS Carlo Guidi, Via \u00c1lvaro del Portillo 21, 00128 Rome, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5293-2115","authenticated-orcid":false,"given":"Gabriella","family":"Bretti","sequence":"additional","affiliation":[{"name":"Institute for Applied Mathematics \u201cMauro Picone\u201d (IAC), National Research Council of Italy, Via dei Taurini 19, 00185 Rome, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7712-056X","authenticated-orcid":false,"given":"Andrea","family":"De Gaetano","sequence":"additional","affiliation":[{"name":"Institute of Systems Analysis and Informatics \u201cA. Ruberti\u201d (IASI), National Research Council of Italy, Via dei Taurini 19, 00185 Rome, Italy"},{"name":"Institute for Biomedical Research and Innovation (IRIB), National Research Council of Italy (CNR), Via Ugo la Malfa 153, 90146 Palermo, Italy"},{"name":"Department of Biomatics, \u00d3buda University, B\u00e9csi \u00fat 96\/B, 1034 Budapest, Hungary"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1002\/wsbm.45","article-title":"Agent-based models in translational systems biology","volume":"1","author":"An","year":"2009","journal-title":"Wiley Interdiscip. Rev. Syst. Biol. Med."},{"key":"ref_2","unstructured":"Politopoulos, I. (2007). 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