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The maintenance of tissue and organ structures during dynamic homeostasis isoften not well understood. In order for a system to be stable, cell renewal,cell migration and cell death must be finely balanced. Moreover, a tissue'sshape must remain relatively unchanged. Simple epithelial tissues occur invarious structures throughout the body, such as the endothelium, mesothelium,linings of the lungs, saliva and thyroid glands, and gastrointestinal tract.Despite the prevalence of simple epithelial tissues, there are few models whichaccurately describe how these tissues maintain a stable structure.  Here, we present a novel, 3D, deformable, multilayer, cell-centre model of asimple epithelium. Cell movement is governed by the minimisation of a bendingpotential across the epithelium, cell-cell adhesion, and viscous effects. Weshow that the model is capable of maintaining a consistent tissue structurewhile undergoing self renewal. We also demonstrate the model's robustness undertissue renewal, cell migration and cell removal. The model presented here is avaluable advancement towards the modelling of tissues and organs with complexand generalised structures.

Modelling realistic 3D deformations of simple epithelia in dynamic homeostasis