Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2006 Apr 22;3(7):303-10.
doi: 10.1098/rsif.2005.0085.

Numerical simulation of corneal transport processes

Long-yuan Li  1 , Brian Tighe
Affiliations

Numerical simulation of corneal transport processes

Long-yuan Li et al. J R Soc Interface. .

Abstract

This paper presents a numerical study on the transport of ions and ionic solution in human corneas and the corresponding influences on corneal hydration. The transport equations for each ionic species and ionic solution within the corneal stroma are derived based on the transport processes developed for electrolytic solutions, whereas the transport across epithelial and endothelial membranes is modelled by using phenomenological equations derived from the thermodynamics of irreversible processes. Numerical examples are provided for both human and rabbit corneas, from which some important features are highlighted.

PubMed Disclaimer

Figures

Figure 1
Figure 1
A two-membrane, three-compartment flow model for the cornea.
Figure 2
Figure 2
Stromal thickness response to the perfusion with 30 mOsm NaCl hypertonic solution applied to the endothelium of the rabbit cornea while the epithelial surface was blocked. The continuous calculated line was shifted temporally to mach the onset of the thinning.
Figure 3
Figure 3
Stromal thickness responses to the shocks of 15 mOsm NaCl, NaHCO3, KCl and KHCO3 hypertonic solutions applied to the endothelial surface. (a) Epithelial surface is blocked. (b) Epithelial surface is left intact.
Figure 4
Figure 4
Stromal thickness responses to the shocks of 15 mOsm NaCl, NaHCO3, KCl and KHCO3 hypertonic solutions applied to the epithelial surface. (a) Endothelial surface is blocked. (b) Endothelial surface is left intact.
Figure 5
Figure 5
Stromal thickness responses to the shocks of 15 mOsm NaCl, NaHCO3, KCl and KHCO3 hypertonic solutions applied to the epithelial surface (Ja3=0). (a) Endothelial surface is blocked. (b) Endothelial surface is left intact.
Figure 6
Figure 6
Stromal thickness responses to the shocks of 15 mOsm NaCl, NaHCO3, KCl and KHCO3 hypertonic solutions applied to the endothelial surface (Ja4=0). (a) Epithelial surface is blocked. (b) Epithelial surface is left intact.
See this image and copyright information in PMC

Similar articles

See all similar articles

Cited by

References

    1. Bonanno J.A. Identity and regulation of ion transport mechanisms in the corneal endothelium. Prog. Retin. Eye Res. 2003;22:69–94. doi: 10.1016/S1350-9462(02)00059-9. - DOI - PubMed
    1. Bryant M.R, McDonnell P.J. A triphasic analysis of corneal swelling and hydration control. J. Biomech. Eng. 1998;120:370–381. - PubMed
    1. Daxer A, Misof K, Grabner B, Ettl A, Fratzl P. Collagen fibrils in the human corneal stroma: structure and aging. Invest. Ophthalmol. Vis. Sci. 1998;39:644–648. - PubMed
    1. Doughty M.J, Bergmanson J.P.G. Resolution and reproducibility of measures of the diameter of small collagen fibrils by transmission electron microscopy—application to the rabbit corneal stroma. Micron. 2005;36:331–343. doi: 10.1016/j.micron.2005.01.003. - DOI - PubMed
    1. Edelhauser H.F, Geroski D.H, Ubels J.L. Physiology. In: Smolin G, Thoft R.A, editors. The cornea. Little, Brown and Company; Boston: 1994. pp. 25–46.

LinkOut - more resources