zbMATH — the first resource for mathematics

An analysis of the mechanical behaviour of a detaching retina. (English) Zbl 1351.92007
Authors’ abstract: An improved solution to the mechanics-based mathematical model for retinal detachment developed by the second author et al. [Math. Med. Biol. 30, No. 4, 287–310 (2013; Zbl 1278.92008)] is found by removing the simplifying assumption of negligible meridian displacement employed in that study. The model considers retinas with and without central tears and takes contraction of the vitreous and extension of its fibrils, along with a pressure difference across the retina, as the impetus for detachment propagation. Exact analytical solutions are established for the meridian and radial displacement of detaching retinas with and without tears, and numerical simulations are performed based on these solutions.

92C10 Biomechanics
Full Text: DOI