Gene

Topological defect

Combinatorics

Physics

Function (biology)

Cell

Topology (electrical circuits)

Programming language

Mathematics

Morphogenesis

Computer science

Genetics

Biochemistry

Quantum mechanics

Multicellular organism

Biology

Cell biology

Integer (computer science)

Nature Materials

Tissues acquire function and shape via differentiation and morphogenesis. Both processes are driven by coordinating cellular forces and shapes at the tissue scale, but general principles governing this interplay remain to be discovered. Here we report that self-organization of myoblasts around integer topological defects, namely spirals and asters, suffices to establish complex multicellular architectures. In particular, these arrangements can trigger localized cell differentiation or, alternatively, when differentiation is inhibited, they can drive the growth of swirling protrusions. Both localized differentiation and growth of cellular vortices require specific stress patterns. By analysing the experimental velocity and orientational fields through active gel theory, we show that integer topological defects can generate force gradients that concentrate compressive stresses. We reveal these gradients by assessing spatial changes in nuclear volume and deformations of elastic pillars. We propose integer topological defects as mechanical organizing centres controlling differentiation and morphogenesis. Integer topological defects promote cellular self-organization, leading to the formation of complex cellular assemblies that trigger cell differentiation and the formation of swirling cellular pillars once differentiation is inhibited. These findings suggest that integer topological defects are important modulators of cellular differentiation and tissue morphogenesis.

Integer topological defects organize stresses driving tissue morphogenesis