2 papers
math.AP2026
Bridging Scales in Chemotaxis: Scale-Uniform Forward Stability for Run-and-Tumble Kernel Estimation
Jos{é} A. Carrillo, Jiangjun Ma, Min Tang
Chemotactic motion is described by run-and-tumble kinetic models at microscopic scales and by Keller--Segel equations at macroscopic scales. We develop variational loss functionals…
math.NA2024
Reconstructing the kinetic chemotaxis kernel using macroscopic data: well-posedness and ill-posedness
Kathrin Hellmuth, Christian Klingenberg, Qin Li +1
Bacterial motion is steered by external stimuli (chemotaxis), and the motion described on the mesoscopic scale is uniquely determined by a parameter that models velocity change…