2022/04/20 by Georg Heinze, Heinze, Georg, Jan‐Frederik Pietschmann +3
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #Erythrocyte Function and Pathophysiology #FOS: Mathematics #Hemoglobin structure and function
paper · pdf · doi:10.48550/arxiv.2204.09553
openalex publication_date 2022/04/20 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
We explore the dynamical behavior and energetic properties of a model of two species that interact nonlocally on finite graphs. The authors recently introduced the model in the context of nonquadratic Finslerian gradient flows on generalized graphs featuring nonlinear mobilities. In a continuous and local setting, this class of systems exhibits a wide variety of patterns, including mixing of the two species, partial engulfment, or phase separation. This work showcases how this rich behavior carries over to the graph structure. We present analytical and numerical evidence thereof.