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Fluid Mechanics of the Human Eye: Aqueous Humour Flow in The Anterior Chamber

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Abstract

We consider and compare the various different kinds of flow that may take place in the anterior chamber of a human eye. The physical mechanisms responsible for causing such flows may be classified as follows: (i) buoyancy-driven flow arising from the temperature difference between the anterior surface of the cornea and the iris, (ii) flow generated by the aqueous production of the ciliary body, (iii) flow generated by the interaction between buoyancy and gravity while sleeping while sleeping in a face-up position, (iv) flow generated by phakodenesis (lens tremor), (v) flow generated by Rapid Eye Movement (REM) during sleep. Each flow is studied using a traditional fluid mechanics/asymptotic analysis approach. We also assess the veracity of a hypothesis that was recently advanced [see Maurice, D.M., 1998. The Von Sallman Lecture 1996: An ophthalmological explanation of REM sleep. Exp. Eye. Res. 66, 139–145, for details] to suggest that, contrary to previous opinion, the purpose of REM during sleep is to ensure corneal respiration in the absence of the buoyant mixing that routinely takes place due to (i) above during waking conditions.

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References

  • Abramowitz, M., Stegun, I.A. (Eds.) 1972. Handbook of Mathematical Functions. Dover, New York.

    MATH  Google Scholar 

  • Allingham, R.R., Dekater, A.W., Ethier, C.R., Anderson, P.J., Hertzmark, E., Epstein, D.L., 1992. The relationship between pore density and outflow facility in human eyes. Inv. Ophth. Vis. Sci. 33, 1661–1669.

    Google Scholar 

  • Aserinsky, E., Kleitman, N., 1953. Regularly occuring periods of eye motily, and concomitant phenomena, during sleep. Science 118, 273–274.

    Article  Google Scholar 

  • Batchelor, G.K., 1985. An Introduction to Fluid Dynamics. Cambridge University Press, Cambridge, UK.

    Google Scholar 

  • Bron, A.J., Tripathi, R.C., Tripathi, B.J., 1997. Wolff's Anatomy of the Eye and Orbit, 8th edn. Chapman & Hall, London.

    Google Scholar 

  • Brubaker, R.F., 1996. Measurement of aqueous flow by flxsxsuorophotometry. In: Ritch, R., Shields, M.B., Krupin, T. (Eds.), The Glaucomas. Mosty, St. Louis, MO.

  • Crick, F., Mitchison, G., 1983. The function of dream sleep. Nature 304, 111–114.

    Article  Google Scholar 

  • Canning, C.R., Greaney, M.J., Dewynne, J.N., Fitt, A.D., 2002. Fluid flow in the anterior chamber of the human eye. IMA J. Math. Appl. Med. Biol. 19, 31–60.

    Article  MATH  Google Scholar 

  • David, T., Smye, S., Dabbs, T., James, T., 1998. A model for the fluid motion of vitreous humour of the human eye during saccadic motion. Phys. Med. Biol. 43, 1385–1399.

    Article  Google Scholar 

  • Ergun, S., 1952. Flow through packed columns. Chem. Eng. Prog. 48, 89–94.

    Google Scholar 

  • Ethier, C.R., Johnson, M., Ruberti, J., 2004. Ocular biomechanics and biotransport. Ann. Rev. Biomed. Eng. 6, 249–73.

    Article  Google Scholar 

  • Fatt, I., Weissman, B.A., 1992. Physiology of the Eye, 2nd edn. Butterworth, Heinmann, Boston.

    Google Scholar 

  • Foias, C., Manley, O., Rosa, R., Temam, R., 2000. Navier–Stokes Equations and Turbulence. Cambridge University Press, Cambridge, UK.

    Google Scholar 

  • Gerlach, J.C., Hentschel, F., Spatkowski, G., Zeilinger, K., Smith, M.D., Neuhaus, P., 1997. Cell detachment during sinusoidal reperfusion after liver preservation—An in vitro model. Transplantation 64, 907–912

    Article  Google Scholar 

  • Hobson, A., 1990. Ontogenetic development of the human sleep-dream cycle. Neuroscience 10, 371–382.

    Google Scholar 

  • Holm, O., 1968. A photogrammatic method for estimation of the pupillary aqueous flow in the living human eye. Acta Ophthalmol. 46, 254–283.

    Article  Google Scholar 

  • Johnson, M., Shapiro, A., Ethier, C.R., Kamm, R.D., 1992. Modulation of outflow resistance by the pores of the inner wall endothelium. Inv. Ophth. Vis. Sci. 33, 1670–1675.

    Google Scholar 

  • Leray, J., 1934. Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math. 63, 193–248.

    Article  MathSciNet  MATH  Google Scholar 

  • Maurice, D.M., 1967. Nutritional aspects of corneal grafts and prostheses. In: Rycroft, P. (Ed.), Corneo-plastic Surgery. Pergamon, Oxford.

  • Maurice, D.M., 1984. The cornea and sclera. In: Davson, H. (Ed.), The Eye, Vol. 1B, 3rd edn. Academic Press, New York.

  • Maurice, D.M., 1998. The Von Sallman Lecture 1996: An ophthalmological explanation of REM sleep. Exp. Eye Res. 66, 139–145.

    Article  Google Scholar 

  • Takahashi, K., Atsumi, Y., 1997. Precise measurement of individual rapid eye movements in REM sleep of humans. Sleep 20, 743–752.

    Google Scholar 

  • Vankooten, T.G., Schakenraad, J.M., Vandermei, H.C., Dekker, A., Kirkpatrick, C.J., Busscher, H.J., 1994. Fluid shear-induced endothelial-cell detachment from glass—Influence of adhesion time and shear-stress. Med. Eng. Phys. 16, 506–512.

    Article  Google Scholar 

  • Wyatt, H.J., 1996. Ocular pharmokinetics and conventional flow. J. Ocul. Pharmacol. Therapeut. 12, 441–459.

    Google Scholar 

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Fitt, A.D., Gonzalez, G. Fluid Mechanics of the Human Eye: Aqueous Humour Flow in The Anterior Chamber. Bltn. Mathcal. Biology 68, 53–71 (2006). https://doi.org/10.1007/s11538-005-9015-2

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