Hannezo, Edouard ISTA ; Prost, Jacques; Joanny, Jean
We study theoretically the morphologies of biological tubes affected by various pathologies. When epithelial cells grow, the negative tension produced by their division provokes a buckling instability. Several shapes are investigated: varicose, dilated, sinuous, or sausagelike. They are all found in pathologies of tracheal, renal tubes, or arteries. The final shape depends crucially on the mechanical parameters of the tissues: Young's modulus, wall-to-lumen ratio, homeostatic pressure. We argue that since tissues must be in quasistatic mechanical equilibrium, abnormal shapes convey information as to what causes the pathology. We calculate a phase diagram of tubular instabilities which could be a helpful guide for investigating the underlying genetic regulation.
Physical Review Letters
Hannezo EB, Prost J, Joanny J. Mechanical instabilities of biological tubes. Physical Review Letters. 2012;109(1). doi:10.1103/PhysRevLett.109.018101
Hannezo, E. B., Prost, J., & Joanny, J. (2012). Mechanical instabilities of biological tubes. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.109.018101
Hannezo, Edouard B, Jacques Prost, and Jean Joanny. “Mechanical Instabilities of Biological Tubes.” Physical Review Letters. American Physical Society, 2012. https://doi.org/10.1103/PhysRevLett.109.018101.
E. B. Hannezo, J. Prost, and J. Joanny, “Mechanical instabilities of biological tubes,” Physical Review Letters, vol. 109, no. 1. American Physical Society, 2012.
Hannezo EB, Prost J, Joanny J. 2012. Mechanical instabilities of biological tubes. Physical Review Letters. 109(1).
Hannezo, Edouard B., et al. “Mechanical Instabilities of Biological Tubes.” Physical Review Letters, vol. 109, no. 1, American Physical Society, 2012, doi:10.1103/PhysRevLett.109.018101.