[{"date_created":"2024-04-07T12:50:45Z","type":"journal_article","keyword":["Applied Mathematics"],"publication":"Studies in Applied Mathematics","issue":"4","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We give an overview of analytical results concerned with chemotaxis systems where the signal is absorbed. We recall results on existence and properties of solutions for the prototypical chemotaxis‐consumption model and various variants and review more recent findings on its ability to support the emergence of spatial structures.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1111/sapm.12625","author":[{"last_name":"Lankeit","first_name":"Johannes","full_name":"Lankeit, Johannes"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael","id":"31496"}],"publication_identifier":{"issn":["0022-2526","1467-9590"]},"title":"Depleting the signal: Analysis of chemotaxis‐consumption models—A survey","year":"2023","intvolume":"       151","publication_status":"published","date_updated":"2025-12-18T20:16:04Z","citation":{"apa":"Lankeit, J., &#38; Winkler, M. (2023). Depleting the signal: Analysis of chemotaxis‐consumption models—A survey. <i>Studies in Applied Mathematics</i>, <i>151</i>(4), 1197–1229. <a href=\"https://doi.org/10.1111/sapm.12625\">https://doi.org/10.1111/sapm.12625</a>","ieee":"J. Lankeit and M. Winkler, “Depleting the signal: Analysis of chemotaxis‐consumption models—A survey,” <i>Studies in Applied Mathematics</i>, vol. 151, no. 4, pp. 1197–1229, 2023, doi: <a href=\"https://doi.org/10.1111/sapm.12625\">10.1111/sapm.12625</a>.","short":"J. Lankeit, M. Winkler, Studies in Applied Mathematics 151 (2023) 1197–1229.","chicago":"Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis of Chemotaxis‐consumption Models—A Survey.” <i>Studies in Applied Mathematics</i> 151, no. 4 (2023): 1197–1229. <a href=\"https://doi.org/10.1111/sapm.12625\">https://doi.org/10.1111/sapm.12625</a>.","mla":"Lankeit, Johannes, and Michael Winkler. “Depleting the Signal: Analysis of Chemotaxis‐consumption Models—A Survey.” <i>Studies in Applied Mathematics</i>, vol. 151, no. 4, Wiley, 2023, pp. 1197–229, doi:<a href=\"https://doi.org/10.1111/sapm.12625\">10.1111/sapm.12625</a>.","ama":"Lankeit J, Winkler M. Depleting the signal: Analysis of chemotaxis‐consumption models—A survey. <i>Studies in Applied Mathematics</i>. 2023;151(4):1197-1229. doi:<a href=\"https://doi.org/10.1111/sapm.12625\">10.1111/sapm.12625</a>","bibtex":"@article{Lankeit_Winkler_2023, title={Depleting the signal: Analysis of chemotaxis‐consumption models—A survey}, volume={151}, DOI={<a href=\"https://doi.org/10.1111/sapm.12625\">10.1111/sapm.12625</a>}, number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Lankeit, Johannes and Winkler, Michael}, year={2023}, pages={1197–1229} }"},"publisher":"Wiley","_id":"53338","page":"1197-1229","volume":151,"user_id":"31496","status":"public"},{"status":"public","user_id":"93826","volume":141,"page":"474-500","_id":"37661","publisher":"Wiley","citation":{"mla":"Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones.” <i>Studies in Applied Mathematics</i>, vol. 141, no. 4, Wiley, 2018, pp. 474–500, doi:<a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>.","ama":"Rösler M, Voit M. Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones. <i>Studies in Applied Mathematics</i>. 2018;141(4):474-500. doi:<a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>","bibtex":"@article{Rösler_Voit_2018, title={Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones}, volume={141}, DOI={<a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>}, number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Rösler, Margit and Voit, Michael}, year={2018}, pages={474–500} }","apa":"Rösler, M., &#38; Voit, M. (2018). Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones. <i>Studies in Applied Mathematics</i>, <i>141</i>(4), 474–500. <a href=\"https://doi.org/10.1111/sapm.12217\">https://doi.org/10.1111/sapm.12217</a>","ieee":"M. Rösler and M. Voit, “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones,” <i>Studies in Applied Mathematics</i>, vol. 141, no. 4, pp. 474–500, 2018, doi: <a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>.","chicago":"Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones.” <i>Studies in Applied Mathematics</i> 141, no. 4 (2018): 474–500. <a href=\"https://doi.org/10.1111/sapm.12217\">https://doi.org/10.1111/sapm.12217</a>.","short":"M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 474–500."},"publication_status":"published","date_updated":"2023-01-24T22:15:51Z","intvolume":"       141","year":"2018","title":"Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones","publication_identifier":{"issn":["0022-2526"]},"author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"doi":"10.1111/sapm.12217","alternative_title":["Beta Distributions and Sonine Integrals"],"language":[{"iso":"eng"}],"issue":"4","publication":"Studies in Applied Mathematics","keyword":["Applied Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"date_created":"2023-01-20T09:24:36Z"}]