Morphodynamic Meetings
#87 November 9, 2026
Monday 15:00 (Paris/Warsaw time)
Mehmet Can Ucar (University of Sheffield)
Guidance and hyperuniform tiling in branching morphogenesis
Abstract:
Branched architectures such as neurons and vascular networks must optimise spatial coverage to perform essential functions. Yet the physical rules driving this self-organised coverage remain poorly understood. In this talk, I will first present theoretical work on how local feedback and global guidance cues shape individual branched structures. I will then address how populations of branching cells collectively partition a shared territory without gaps or redundant overlap. I will show that coupling cell growth to neighbour repulsion yields efficient tiling and progressively suppresses large-scale density fluctuations, driving the system towards a hyperuniform state. Experiments on microglial patterning in the developing retina corroborate these predictions. A coarse-grained description further reveals an optimal regime in the growth-repulsion plane that maximises both tiling efficiency and large-scale regularity. These findings show that efficient space-filling and long-range order can emerge from a single dynamical mechanism, suggesting a general principle for self-organised tissue patterning.
Head image credits (from top left):
(1) Corentin Bisot and Loreto Oyarte Galvez,
(2) Claire Lagesse,
(3) Stéphane Douady,
(4) Stanisław Żukowski,
(5) Przemysław Prusinkiewicz,
(6) Andrea Perna,
(7) John Shaw (Google Earth),
(8) Justin Tauber,
(9) Marc Durand.
Contact: szukowski [at] flatironinstitute.org
