Finally, we predicted the distribution of observed patterns in an amazing set of experiments done by Michael. Primary cells from mouse embryos were confined to thin rectangular domains, effectively creating a one-dimensional system: a perfect setup to compare experiment and theory.

At these transitions, patterned steady states appear that are saddle points in phase space. They strongly influence the transient dynamics, by lengthening the time the system takes to evolve towards the attracting state: a polarized pattern where all particles are on one side.

We found a way to, in specific cases, analytically compute the parameter regions where patterns form. In addition, we studied the long-term behavior using numerical bifurcation techniques. These revealed a set of transitions as the size of the confining domain increases.

Please allow me to introduce... our new preprint 🎉 Together with Michael Zhao, Anna Erzberger and Alexander Aulehla, we investigate pattern formation due to aggregation in confined systems.

You can find it at arxiv.org/abs/2509.08533

@michaelzhao.bsky.social @erzbergerlab.bsky.social

Many years in the making but now finally online! What determines the temperature scaling and thermal limits of cell cycle duration in embryos? We tackled the question using a combination of dynamical systems analysis and experimental measurements in embryos and in cycling Xenopus extracts.