4 papers
Strata of Ecological Coexistence via Grassmannians
Türkü Özlüm Çelik, Pierre A. Haas, Georgy Scholten +2
We study the Lotka--Volterra system from the perspective of computational algebraic geometry, focusing on equilibria that are both feasible and stable. These conditions stratifies…
Geometry of T1 transitions in epithelia
Pierre A. Haas
The flows of tissues of epithelial cells often involve T1 transitions. These neighbour exchanges are irreversible rearrangements crossing an energy barrier. Here, by an exact geome…
Euler buckling on curved surfaces
Shiheng Zhao, Pierre A. Haas
Euler buckling epitomises mechanical instabilities: An inextensible straight elastic line buckles under compression when the compressive force reaches a critical value .…
A model for boundary-driven tissue morphogenesis
Daniel S. Alber, Shiheng Zhao, Alexandre O. Jacinto +3
Tissue deformations during morphogenesis can be active, driven by internal processes, or passive, resulting from stresses applied at their boundaries. Here, we introduce the Drosop…