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  • 1975-1979  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    A hydrodynamic model of aqueous flow in the posterior chamber of the eye (1978)
    Springer
    Bulletin of mathematical biology 40 (1978), S. 223-235 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract An analysis of the hydrodynamics of aqueous flow in the posterior chamber of the anterior segment of the eye is presented. The viscid, incompressible description of fluid dynamics in a spherical geometry is utilized to reduce the problem to a biharmonic-type equation using a “Stokes Stream Function”. Analogous to Poiseuille flow in a cylindrical pipe, velocity profiles are deduced and an Ohms Law relationship between pressure and flow is derived in terms of the geometry of the assumed model. This result is then incorporated into a synthesized electric circuit analog of flow between ciliary artery and episcleral vein. Applications to open angle and pupilary block glaucoma are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461437
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A mathematical model of transmural transport of oxygen to the retina (1978)
    Springer
    Bulletin of mathematical biology 40 (1978), S. 823-837 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A mathematical model of transmural transport of oxygen to a metabolizing retina is presented based on the equations of fluid dynamics. The equations of oxygen transfer are derived and then solved subject to the condition that the capillaries begin to transport oxygen at an initial time. The resulting transient analysis gives us insight into how diffusive and filtrative processes lead to the oxygen distributions both inside and outside capillaries. On the other hand, the steady state solution allows us to predict the cutoff intraocular pressure above which no oxygen is transferred to retinal tissue. It also gives quantitative relationships which allow us to postulate how intracapillary hypertension counterbalances elevated intraocular pressures and how low pressure glaucoma may arise from ineffective diffusive and filtrative processes of oxygen transport.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460609
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    Paper (German National Licenses)
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