Numerical simulation of the aqueous humor flow in the eye drainage system; a healthy and pathological condition comparison.

The present work describes the motion of aqueous humor through the anterior chamber and the trabecular drainage system, considering several distributions of the collector channels. The 3D computational model, implemented into the open-source software, was reconstructed from an optical coherence tomography. The model has been employed to simulate the aqueous humor dynamics considering buoyancy effects. The presence of the anterior chamber, the trabecular meshwork, and the Schlemm's canal were taken into consideration with 14 different distributions of collector channels. The influence of collector channels position on the intraocular pressure and shear stress has been analyzed, for a healthy and a glaucomatous condition. Aqueous humor velocity, pressure, temperature, wall shear stress, skin friction coefficient and Nusselt number, are presented for the different cases. The results indicate that the position of the collector channels has a strong influence on the wall shear stress on the Schlemm's canal and collector channels.

Numerical model of aqueous humor drainage: effects of collector channel position.

Glaucoma is a progressive and a degenerative eye disease that gradually deteriorates the vision. The origin of glaucoma is still under debate. Recent studies report that 50% of the aqueous humor outflow resistance resides on collector channels and Schlemm's canal (SC). This paper provides a descriptive analysis of the aqueous humor outflow through the anterior chamber, the trabecular meshwork (TM) and the SC. The aim of this work is to determine the influence of the collector channels position on the intraocular pressure (IOP) and its contribution to the development of glaucoma. Pressure and wall shear stress distributions are presented for four cases. The first case has an arrangement of collector channels according to micro CT (Gong and Francis, 2014). The remaining cases have an symmetrical distribution; case 2 has all open quadrants (AOQ), cases 3 have three quadrants completely open and just one quadrant semi closed (SCQ), and finally cases 4 consider that a quadrant is completely closed (CQ). Symmetrical and micro CT cases have 29 collector channels. The results show that the position and the opening of the collector channels have a strong influence on the IOP.

Análisis, por Simulación, de los Esfuerzos Cortantes en la Superficie del Iris, en Presencia de Lentes Fáquicos Intraoculares / Analysis, by Simulation, of shear stresses on the Surface of Iris, in Presence of Intraocular Factor Lenses

Resumen: En este estudio, se presenta una metodología para evaluar lentes fáquicos intraoculares, cuando el flujo del humor acuoso es asimétrico, debido a modificaciones en el área de salida del fluido. El objetivo es determinar el efecto que tienen las asimetrías del flujo del humor acuoso en el esfuerzo cortante sobre el iris y la córnea en presencia de un lente fáquico intraocular. Se considera la geometría del ojo propuesta por Repetto et al.,7 y se resuelve el flujo del humor acuso con y sin lente empleando simulaciones mediante el método de elemento finito. Para validar el método, se compara la solución numérica obtenida con los resultados de Tychsen et al.8 obteniendo valores del mismo orden. Los resultados obtenidos son perfiles de velocidad, líneas de corriente y esfuerzos cortantes en las superficies del iris y la córnea. El modelo no toma en cuenta las variaciones de la temperatura, por lo que no se consideran los efectos de flotación. Los resultados muestran que las asimetrías tienen un gran impacto en la dinámica del humor acuoso e incrementan los esfuerzos cortantes; sin embargo no son suficientes como para causar desprendimiento de las céluas del iris o de la córnea.

Abstract: The study presents a methodology to evaluate intraocular phakic lenses, considering asymmetric aqueous humor flow due to modified conditions of the fluid outlet area. The main objective is to determine the effect of asymmetries on shear stresses with and without phakik lenses. A finite element numerical simulation was developed using the eye geometry proposed by Repetto et al.6 The numerical method was tested with the results obtained by Tychsen et al.8, giving results of the same order of magnitude. Velocity profiles, pressure distribution and shear stress at the solid boundaries are shown. The model does not take into account temperature variations. Therefore no buoyancy effects were considered. The results show that the induced asymmetries have a significant impact on aqueous humor velocity and on shear forces; however the shear stresses are not sufficient to cause cell detachment so the lens can be considered as harmless.

Influencia de la Posición de los Canales Colectores en la Presión Intraocular / Influence of the Collector Channels on the Intraocular Pressure

RESUMEN: El objetivo del presente trabajo es determinar la influencia que tiene la posición de los canales colectores en la presión intraocular y su contribución en el desarrollo del glaucoma. Para realizar el análisis se llevaron acabo simulaciones numéricas utilizando el método de elemento finito para dos casos de estudio. El primer caso es un modelo simplificado de sección rectangular que simula el flujo entre dos canales colectores; el segundo modelo describe el flujo en todo el canal de Schlemm (CS), considerando que es un aro rígido de espesor constante, con cuatro distribuciones de los canales colectores. Se obtuvieron los perfiles de presión y velocidad en los dos casos. En el caso simplificado se tienen diferencias de 10 P a entre las presiones medias. El segundo modelo muestra que el arreglo simétrico tiene una distribución de presiones constante mientras que los casos asimétricos presentan variaciones de 2 P a. Los resultados confirman que la posición de los canales colectores tiene influencia en la presión intraocular. Este estudio da lugar a realizar un análisis en estado transitorio, considerando las propiedades elásticas del CS así como las variaciones de diámetro de los canales colectores.

ABSTRACT: The aim of the present study is to determine the influence of the position of the collecting channels on intraocular pressure and its contribution to the development of glaucoma. Numerical simulations were performed using the finite element method for two case studies. The first case is a simplified model of rectangular section that simulates the flow between two collecting channels. The second model describes flow throughout the Schlemm channel (CS), considering that it is a rigid ring of constant thickness, with four distributions of the collector channels. The pressure and velocity profiles are shown for both cases. In the simplified case, there are differences of 10 P a between the average pressures. The second model shows that the symmetric arrangement has a constant pressure distribution while the asymmetric cases have variations of 2 P a. The results confirm that the position of the collecting channels influences the intraocular pressure. This study shows that a transient analysis is needed to understand the whole process, considering the elastic properties of the CS as well as the variations of diameter of the collecting channels.