42 citations · 47 across the 8 of their papers we have counts for
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q-bio.QM2023★ 42 cited
Biological Modelling with Nonlocal Advection Diffusion Equations
Kevin J Painter, Thomas Hillen, Jonathan R Potts
The employment of nonlocal PDE models to describe biological aggregation and other phenomena has gained considerable traction in recent years. For cell populations, these methods g…
math.AP2023
Weakly nonlinear analysis of a two-species non-local advection-diffusion system
Valeria Giunta, Thomas Hillen, Mark A. Lewis +1
Nonlocal interactions are ubiquitous in nature and play a central role in many biological systems. In this paper, we perform a bifurcation analysis of a widely-applicable advection…