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q-bio.QM2023
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…
q-bio.QM2018
Mathematical models for chemotaxis and their applications in self-organisation phenomena
K. J. Painter
Chemotaxis is a fundamental guidance mechanism of cells and organisms, responsible for attracting microbes to food, embryonic cells into developing tissues, immune cells to infecti…