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Created by: Kevin Painter, Chiara Villa and Tommaso Lorenzi
Issue 334: Recent years have seen greater appreciation for the inherent heterogeneity within cell populations, from bacteria to cancer cells. Phenotype-structured partial differential equations have become a useful tool to capture the broad spectrum of traits. Our recent paper provides a comprehensive review of this growing literature, a tutorial into the various mathematical methods, and an outlook on some critical modelling, analytical, and numerical challenges. The image riffs on a famous album sleeve: Unknown Pleasures by Joy Division. The original album displayed a stacked plot of radar emissions from a pulsar, which is replaced here with a stacked plot of simulation data from a go-or-grow phenotype-structured model: a population of invading cells, where each individual plot shows the distribution of cells, which range in phenotype from less motile and more proliferative to more motile and less proliferative.