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q-bio.PE2025
A phylogeny of biological patterns formed by nonlocal advection
Valeria Giunta, Thomas Hillen, Mark A. Lewis +1
From tumour invasion to cell sorting and animal territoriality, many biological systems rely on nonlocal interactions that drive complex spatial organisation. Partial differential…
q-bio.PE2024
Aggregation-diffusion in heterogeneous environments
Jonathan R. Potts
Aggregation-diffusion equations are foundational tools for modelling biological aggregations. Their principal use is to link the collective movement mechanisms of organisms to thei…