We present a mathematical model describing the spatial distribution of tear film osmolarity across the ocular surface of a human eye during one blink cycle, incorporating detailed fluid and solute dynamics. Based on the lubrication approximation, our model comprises three coupled equations tracking the depth of the aqueous layer of the tear film, the concentration of the polar lipid, and the concentration of physiological salts contained in the aqueous layer. Diffusive boundary layers in the salt concentration occur at the thinnest regions of the tear film, the black lines. Thus, despite large Peclet numbers, diffusion ameliorates osmolarity around the black lines, but nonetheless is insufficient to eliminate the build-up of solute in these...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
We present a mathematical model describing the spatial distribution of tear film osmolarity across t...
Tear hyperosmolarity is thought to play a key role in the mechanism of dry eye, a common symptomatic...
Tear hyperosmolarity is thought to play a key role in the mechanism of dry eye, a common symptomatic...
Tear hyperosmolarity is thought to play a key role in the mechanism of dry eye, a common symptomatic...
The human tear film is rapidly established after each blink, and is essential for clear vision and e...
PurposeDry-eye disease, an increasingly prevalent ocular-surface disorder, significantly alters tear...
PurposeDry-eye disease, an increasingly prevalent ocular-surface disorder, significantly alters tear...
A mathematical model is developed to investigate the two-dimensional variations in the thickness of ...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
A mathematical model is developed to investigate the two-dimensional variations in the thickness of ...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
We present a mathematical model describing the spatial distribution of tear film osmolarity across t...
Tear hyperosmolarity is thought to play a key role in the mechanism of dry eye, a common symptomatic...
Tear hyperosmolarity is thought to play a key role in the mechanism of dry eye, a common symptomatic...
Tear hyperosmolarity is thought to play a key role in the mechanism of dry eye, a common symptomatic...
The human tear film is rapidly established after each blink, and is essential for clear vision and e...
PurposeDry-eye disease, an increasingly prevalent ocular-surface disorder, significantly alters tear...
PurposeDry-eye disease, an increasingly prevalent ocular-surface disorder, significantly alters tear...
A mathematical model is developed to investigate the two-dimensional variations in the thickness of ...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
A mathematical model is developed to investigate the two-dimensional variations in the thickness of ...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...
This paper investigates the deposition of the tear film on the cornea of the human eye. The tear fil...