{"date_updated":"2025-12-18T20:14:30Z","date_created":"2025-12-18T19:07:03Z","intvolume":"       152","publication_identifier":{"issn":["0002-9939","1088-6826"]},"type":"journal_article","volume":152,"author":[{"last_name":"Tao","full_name":"Tao, Youshan","first_name":"Youshan"},{"id":"31496","first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"status":"public","doi":"10.1090/proc/16867","publication_status":"published","abstract":[{"lang":"eng","text":"<p>This manuscript studies a no-flux initial-boundary value problem for a four-component chemotaxis system that has been proposed as a model for the response of cytotoxic T-lymphocytes to a solid tumor. In contrast to classical Keller-Segel type situations focusing on two-component interplay of chemotaxing populations with a signal directly secreted by themselves, the presently considered system accounts for a certain indirect mechanism of attractant evolution. Despite the presence of a zero-order exciting nonlinearity of quadratic type that forms a core mathematical feature of the model, the manuscript asserts the global existence of classical solutions for initial data of arbitrary size in three-dimensional domains.</p>"}],"language":[{"iso":"eng"}],"issue":"10","publisher":"American Mathematical Society (AMS)","publication":"Proceedings of the American Mathematical Society","user_id":"31496","_id":"63258","citation":{"short":"Y. Tao, M. Winkler, Proceedings of the American Mathematical Society 152 (2024) 4325–4341.","apa":"Tao, Y., &#38; Winkler, M. (2024). Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. <i>Proceedings of the American Mathematical Society</i>, <i>152</i>(10), 4325–4341. <a href=\"https://doi.org/10.1090/proc/16867\">https://doi.org/10.1090/proc/16867</a>","chicago":"Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Chemotaxis System Modeling Immune Response to a Solid Tumor.” <i>Proceedings of the American Mathematical Society</i> 152, no. 10 (2024): 4325–41. <a href=\"https://doi.org/10.1090/proc/16867\">https://doi.org/10.1090/proc/16867</a>.","ama":"Tao Y, Winkler M. Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. <i>Proceedings of the American Mathematical Society</i>. 2024;152(10):4325-4341. doi:<a href=\"https://doi.org/10.1090/proc/16867\">10.1090/proc/16867</a>","mla":"Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Chemotaxis System Modeling Immune Response to a Solid Tumor.” <i>Proceedings of the American Mathematical Society</i>, vol. 152, no. 10, American Mathematical Society (AMS), 2024, pp. 4325–41, doi:<a href=\"https://doi.org/10.1090/proc/16867\">10.1090/proc/16867</a>.","ieee":"Y. Tao and M. Winkler, “Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor,” <i>Proceedings of the American Mathematical Society</i>, vol. 152, no. 10, pp. 4325–4341, 2024, doi: <a href=\"https://doi.org/10.1090/proc/16867\">10.1090/proc/16867</a>.","bibtex":"@article{Tao_Winkler_2024, title={Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor}, volume={152}, DOI={<a href=\"https://doi.org/10.1090/proc/16867\">10.1090/proc/16867</a>}, number={10}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Tao, Youshan and Winkler, Michael}, year={2024}, pages={4325–4341} }"},"title":"Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor","year":"2024","page":"4325-4341"}