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Curvature in biological systems : its quantification, emergence and implications across the scales

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Ziege,  Ricardo
Cecile Bidan, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society;

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Cipitria,  Amaia       
Amaia Cipitria, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society;

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Dimova,  Rumiana       
Rumiana Dimova, Theorie & Bio-Systeme, Max Planck Institute of Colloids and Interfaces, Max Planck Society;

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Eder,  Michaela       
Michaela Eder, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society;

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Fratzl,  Peter
Peter Fratzl, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society;

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Bidan,  Cécile M.       
Cecile Bidan, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society;

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Citation

Schamberger, B., Roschger, A., Ziege, R., Anselme, K., Amar, M. B., Bykowski, M., et al. (2023). Curvature in biological systems: its quantification, emergence and implications across the scales. Advanced Materials, 35(13): 2206110. doi:10.1002/adma.202206110.


Cite as: https://hdl.handle.net/21.11116/0000-000B-B5CF-0
Abstract
Surface curvature both emerges from, and influences the behavior of, living objects at length scales ranging from cell membranes to single cells to tissues and organs. The relevance of surface curvature in biology has been supported by numerous recent experimental and theoretical investigations in recent years. In this review, we first give a brief introduction to the key ideas of surface curvature in the context of biological systems and discuss the challenges that arise when measuring surface curvature. Giving an overview of the emergence of curvature in biological systems, its significance at different length scales becomes apparent. On the other hand, summarizing current findings also shows that both single cells and entire cell sheets, tissues or organisms respond to curvature by modulating their shape and their migration behavior. Finally, we address the interplay between the distribution of morphogens or micro-organisms and the emergence of curvature across length scales with examples demonstrating these key mechanistic principles of morphogenesis. Overall, this review highlights that curved interfaces are not merely a passive by-product of the chemical, biological and mechanical processes but that curvature acts also as a signal that co-determines these processes.