Response to "Merchant and Heys, Effects of Variable Permeability on Aqueous Humor Outflow, Applied Mathematics and Computation 196 (2008) 371-380"

Darryl R. Overby*, Jeffrey W. Ruberti, Haiyan Gong, Thomas F. Freddo, Mark Johnson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A response by Darryl R. Overby, Jeffrey W. Ruberti, Haiyan Gong, Thomas F. Freddo, and Mark Johnson on an article authored by Merchants and Heys, titled, 'effects of variable permeability on aqueous humor outflow, applied mathematics and computation', is discussed. The critics believe that the authors have effectively formulated a porous media flow model describing how heterogeneous permeability may increase the hydraulic resistance of this medium. They have serious concerns about how this model applies to the specific problem of aqueous humor flow through the juxtacanalicular connective tissue (JCT), as described by Merchant and Heys. The author's assessment of the effects of heterogeneity on flow through this porous medium ignored the most significant heterogeneity of the tissue, that is large, micron-sized open spaces devoid of matrix structure that are present in the very same quick-freeze/deep-etch (QFDE) image data set that the authors used for their analysis. However, the critics agree with Merchant and Heys that a heterogeneous porous medium might well have a different flow resistance than does a homogeneous medium even if their average porosities are similar.

Original languageEnglish (US)
Pages (from-to)251-252
Number of pages2
JournalApplied Mathematics and Computation
Volume211
Issue number1
DOIs
StatePublished - May 1 2009

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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