---
_id: '53338'
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>
author:
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  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>'
  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>'
  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} }'
  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>.'
  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>.'
  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>.'
  short: J. Lankeit, M. Winkler, Studies in Applied Mathematics 151 (2023) 1197–1229.
date_created: 2024-04-07T12:50:45Z
date_updated: 2025-12-18T20:16:04Z
doi: 10.1111/sapm.12625
intvolume: '       151'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 1197-1229
publication: Studies in Applied Mathematics
publication_identifier:
  issn:
  - 0022-2526
  - 1467-9590
publication_status: published
publisher: Wiley
status: public
title: 'Depleting the signal: Analysis of chemotaxis‐consumption models—A survey'
type: journal_article
user_id: '31496'
volume: 151
year: '2023'
...
---
_id: '37661'
alternative_title:
- Beta Distributions and Sonine Integrals
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  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>
  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>
  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} }'
  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>.'
  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>.'
  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>.
  short: M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 474–500.
date_created: 2023-01-20T09:24:36Z
date_updated: 2023-01-24T22:15:51Z
department:
- _id: '555'
doi: 10.1111/sapm.12217
intvolume: '       141'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 474-500
publication: Studies in Applied Mathematics
publication_identifier:
  issn:
  - 0022-2526
publication_status: published
publisher: Wiley
status: public
title: Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones
type: journal_article
user_id: '93826'
volume: 141
year: '2018'
...