Details
| Original language | English |
|---|---|
| Pages (from-to) | 1197-1229 |
| Number of pages | 33 |
| Journal | Studies in applied mathematics |
| Volume | 151 |
| Issue number | 4 |
| Publication status | Published - 5 Nov 2023 |
Abstract
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.
Keywords
- chemotaxis systems, signal consumption
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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In: Studies in applied mathematics, Vol. 151, No. 4, 05.11.2023, p. 1197-1229.
Research output: Contribution to journal › Review article › Research › peer review
}
TY - JOUR
T1 - Depleting the signal
T2 - Analysis of chemotaxis-consumption models—A survey
AU - Lankeit, Johannes
AU - Winkler, Michael
N1 - Funding Information: Supported by the observation that spatiotemporal ‐bounds for entail temporally uniform bounds for , a study of from ( 16 ), now for and a new suitable choice of φ, reveals global existence of classical solutions (Ref. 95 ). u w
PY - 2023/11/5
Y1 - 2023/11/5
N2 - 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.
AB - 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.
KW - chemotaxis systems
KW - signal consumption
UR - http://www.scopus.com/inward/record.url?scp=85166656949&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2304.02449
DO - 10.48550/arXiv.2304.02449
M3 - Review article
AN - SCOPUS:85166656949
VL - 151
SP - 1197
EP - 1229
JO - Studies in applied mathematics
JF - Studies in applied mathematics
SN - 0022-2526
IS - 4
ER -