On the mechanics of a detaching retina.

  title={On the mechanics of a detaching retina.},
  author={William J Bottega and Peter L. Bishay and Jonathan L. Prenner and Howard F. Fine},
  journal={Mathematical medicine and biology : a journal of the IMA},
  volume={30 4},
A mechanics-based mathematical model for retinal detachment is developed, incorporating an energy-based criterion for propagation. Retinas with and without central tears are considered and contraction of the vitreous and extension of its fibrils, along with a pressure difference across the retina, are taken as the stimuli for detachment propagation. In addition to the equations of motion, boundary and matching conditions, the variational formulation yields the self-consistent energy release… 

On the evolution of a detaching retina: mechanics, mathematical modeling, and analysis

A mechanics based mathematical model for retinal detachment in the emmetropic eye that takes contraction of the vitreous and extension of its fibrils, along with a pressure difference across the retina, as the impetus for detachment propagation is presented.

On the mechanics of myopia and its influence on retinal detachment

The results support the clinical finding of an increased prevalence of retinal detachment in myopic eyes and provide insight into the potential causation for the increased prevalence.

A mechanics based analytical model of vitreous motion and vitreous detachment in the human eye when subjected to saccadic movement

OF THE DISSERTATION A Mechanics Based Analytical Model of Vitreous Motion and Vitreous Detachment in the Human Eye When Subjected to Saccadic Movement by MICHAEL J. PAVLOU Dissertation Director:

On the behavior of an eye encircled by a scleral buckle

A mechanics based mathematical model for the behavior of an eye encircled by a scleral buckle, a procedure used by surgeons to correct retinal detachment, is developed and results indicate that a judicious choice of the buckle parameters is advisable for planning surgery.

On the influence of an equatorial cerclage on closure of posterior retinal detachment.

Results indicate that a scleral buckle encircling the equator, normally used for closing retinal tears and associated retinal detachments in the immediate vicinity of the buckle, can have a marked influence on bringing the detached segment of neurosensory retina back into contact with the retinal pigment epithelium, even for detachments at the posterior of the eye.


The viscosity of the vitreous body plays a central role on the stability of the "shape" and likely, the inclusion of higher range potential function, here used neighbor-range for the intensity of the force of one particle on the next one, will increase the Stability of the system and makes it closer to the real case.

Mathematical Modeling of Exudative Retinal Detachment

A simple mathematical model for the exudative retinal detachment has been developed and the computational results for the retinal deformation are presented to illustrate the sensitivity of the deformation to the elastic modulus, the moment of inertia and intraocular pressure.

A mechanical model of posterior vitreous detachment and generation of vitreoretinal tractions

The model reproduces a PVD evolution in good qualitative agreement with clinical observations and makes it possible to correlate the shape of the detached vitreous with the intensity of vitreoretinal tractions.

Flow of subretinal liquid through the retinal hole after surgery – mechanical model and FEM simulations

Results obtained suggest an optimal speed of eyeball movement for patients to achieve maximal speed of outflow of subretinal fluid is a significant factor in achieving improved clinical outcomes for patients.



Experimental investigation of vitreous humour motion within a human eye model

The maximum value of the shear stress at the wall, which is thought to play a possibly important role in the pathogenesis of retinal detachment, does not significantly depend on the amplitude of saccadic movements, suggesting that relatively small eye rotations are mainly responsible for vitreous stresses on the retina.

Optically inspired biomechanical model of the human eyeball.

For a biomechanical model of the eyeball to mimic the optical function of a real eye, it is crucial that the cornea is allowed to move at the limbal junction, that the materials used for theCornea and sclera are strongly nonlinear, and that their moduli of elasticity remain in a very close relationship.

A mathematical model for the deformation of the eyeball by an elastic band.

A mathematical model for the mechanics of the combined eye/band structure along with an algorithm to compute the model solutions that predict the immediate and the lasting indentation of the eyeball.

A nonlinear finite element model of the eye with experimental validation for the prediction of globe rupture.

The model is empirically verified to predict globe rupture for stresses in the corneoscleral shell exceeding 23 MPa, and local dynamic pressures exceeding 2.1 MPa.

Simulation model of an eyeball based on finite element analysis on a supercomputer

The results suggest that this FEA model has potential usefulness as a simulation tool for ocular injury and it may provide useful information for developing protective measures against industrial and traffic ocular injuries.

Geometric analysis of radial buckling.