{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,18]],"date-time":"2026-05-18T11:22:49Z","timestamp":1779103369930,"version":"3.51.4"},"posted":{"date-parts":[[2025,2,27]]},"reference-count":0,"publisher":"Wiley","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>In this work, we develop a new mathematical model to describe the\ntumor-immune system interactions in the presence of interleukins and a\nrecently developed immunotherapy. We describe the tumor-immune\ninteractions at the cellular level, using the approach of the Kinetic\nTheory of active particles, by considering four populations, namely\ntumor cells, activated immune cells, immune cells and interleukins. We\nalso derive the macroscopic model relative to the kinetic system and\nstudy the well-posedness of the Cauchy problem for the corresponding\nsystem of equations. Then, we determine the equilibrium states of the\nsystem and investigate their asymptotic stability. Particular attention\nis devoted to the global stability of a biologically meaningful\ntumor-free equilibrium. Some numerical simulations are also performed in\nview of illustrating the behaviour of the solution predicted by the\ntheoretical analysis.<\/jats:p>","DOI":"10.22541\/au.174068835.55146547\/v1","type":"posted-content","created":{"date-parts":[[2025,2,27]],"date-time":"2025-02-27T15:34:32Z","timestamp":1740670472000},"source":"Crossref","is-referenced-by-count":0,"title":["Mathematical modelling of cancer-immune dynamics modulated by immunotherapy and interleukins"],"prefix":"10.22541","author":[{"given":"Laid","family":"Boudjellal","sequence":"first","affiliation":[{"name":"Universidade do Minho Centro de Matematica"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4771-9859","authenticated-orcid":false,"given":"Ana","family":"Soares","sequence":"additional","affiliation":[{"name":"Universidade do Minho Centro de Matematica"}]},{"given":"Maria Joana","family":"Torres","sequence":"additional","affiliation":[{"name":"Universidade do Minho Centro de Matematica"}]}],"member":"311","container-title":[],"original-title":[],"link":[{"URL":"https:\/\/www.authorea.com\/doi\/pdf\/10.22541\/au.174068835.55146547\/v1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,18]],"date-time":"2026-05-18T10:39:00Z","timestamp":1779100740000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.authorea.com\/doi\/full\/10.22541\/au.174068835.55146547\/v1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,2,27]]},"references-count":0,"URL":"https:\/\/doi.org\/10.22541\/au.174068835.55146547\/v1","relation":{},"subject":[],"published":{"date-parts":[[2025,2,27]]},"subtype":"preprint"}}