Depleting the signal: Analysis of chemotaxis‐consumption models—A survey

By Johannes Lankeit, Michael Winkler. Studies in applied mathematics (Cambridge), 2023

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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.

Subfields: Cell Biology, Modeling and Simulation, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/cbfe74992edd93bd53ffaa348dabf50f502cb901