A biphasic continuum model for the flow of intraocular fluid, the aqueous humour, in the trabecular meshwork is proposed in the paper. The model considers the meshwork as a circular ring with uniform thickness of homogeneous, isotropic, viscoelastic material swollen with continuously percolating aqueous humour. The model further assumes the permeability of the meshwork as a function of dilation in its solid phase. The study considers steady and quasisteady states. Approximate solutions to the problem are obtained by Picard's type iterative procedure and computational results for the dimensionless solid displacement, permeability and pressure profiles are presented. It is concluded that intraocular pressure has a permeability-decreasing effect, whereas the elasticity of the meshwork shows a permeability-increasing effect. Thus, rising intraocular pressure develops a further rise in itself, whereas the elasticity tends to diminish the intraocular pressure through facilitating aqueous outflow.

No abstract

A simple mathematical model for the temperature evolution in the cornea exposed to short-pulsed Ho: YAG laser under Laser Thermo Keratoplasty (LTK) treatment is developed by incorporating both the heat flux phase-lag and temperature gradient phase-lag in Fourier's heat transfer model. An analytical solution to the mathematical model is obtained using the Laplace transformation technique. The computational results for the temperature profile and the temperature variation with time are presented through the graphs. The effect of some typical parameters: the heat flux phase-lag and the temperature gradient phase-lag on the temperature distribution and temperature variations are illustrated and discussed.

A simple mathematical model for the temperature evolution in the cornea exposed to short-pulsed Ho: YAG laser under Laser Thermo Keratoplasty (LTK) treatment is developed by incorporating the heat flux phase-lag in the Fourier’s heat transfer model and laser source term is described by Lambert Beer’s law. An analytical solution to the mathematical model is obtained using the Laplace transformation technique. The computational results for the temperature profile and the temperature variation with time are presented through the graphs. The effect of some typical parameters: the heat flux phase-lag, convection coefficient and thermal conductivity on the temperature distribution and temperature variations are illustrated and discussed.

A simple mathematical model for the temperature evolution in the cornea exposed to short-pulsed Ho: YAG laser under Laser Thermo Keratoplasty (LTK) treatment is developed by incorporating the heat flux phase-lag in the Fourier’s heat transfer model and laser source term is described by Lambert Beer’s law. An analytical solution to the mathematical model is obtained using the Laplace transformation technique. The computational results for the temperature profile and the temperature variation with time are presented through the graphs. The effect of some typical parameters: the heat flux phase-lag, convection coefficient and thermal conductivity on the temperature distribution and temperature variations are illustrated and discussed.