title: Homeostatic Fluctuations of a Tissue Surface.
abstract: We study the surface fluctuations of a tissue with a dynamics dictated by cell-rearrangement, cell-division, and cell-death processes. Surface fluctuations are calculated in the homeostatic state, where cell division and cell death equilibrate on average. The obtained fluctuation spectrum can be mapped onto several other spectra such as those characterizing incompressible fluids, compressible Maxwell elastomers, or permeable membranes in appropriate asymptotic regimes. Since cell division and cell death are out-of-equilibrium processes, detailed balance is broken, but a generalized fluctuation-response relation is satisfied in terms of appropriate observables. Our work is a first step toward the description of the out-of-equilibrium fluctuations of the surface of a thick epithelium and its dynamical response to external perturbations.
authors.affiliation: Laboratoire Physico Chimie Curie, Institut Curie, PSL Research University, CNRS, 26 rue d'Ulm, 75005 Paris, France.|Sorbonne Universités, UPMC Univ Paris 06, CNRS, Laboratoire Physico Chimie Curie, 75005 Paris, France.
authors.forename: Thomas
authors.initials: T
authors.lastname: Risler
authors.affiliation: Laboratoire Physico Chimie Curie, Institut Curie, PSL Research University, CNRS, 26 rue d'Ulm, 75005 Paris, France.|Sorbonne Universités, UPMC Univ Paris 06, CNRS, Laboratoire Physico Chimie Curie, 75005 Paris, France.
authors.forename: Aurélien
authors.initials: A
authors.lastname: Peilloux
authors.affiliation: Laboratoire Physico Chimie Curie, Institut Curie, PSL Research University, CNRS, 26 rue d'Ulm, 75005 Paris, France.|Sorbonne Universités, UPMC Univ Paris 06, CNRS, Laboratoire Physico Chimie Curie, 75005 Paris, France.|Mechanobiology Institute, National University of Singapore, 5A Engineering Drive 1, 117411 Singapore.
authors.forename: Jacques
authors.initials: J
authors.lastname: Prost
mesh_terms: D016923:Cell Death / Q000502:physiology; D002455:Cell Division / Q000502:physiology; D002468:Cell Physiological Phenomena / Q000502:physiology*; D006706:Homeostasis; D008954:Models, Biological