A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head

Paola Causin, Giovanna Guidoboni, Alon Harris, Daniele Prada, Riccardo Sacco, Samuele Terragni

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

In this work we present a mathematical model for the coupling between biomechanics and hemodynamics in the lamina cribrosa, a thin porous tissue at the base of the optic nerve head which is thought to be the site of injury in ocular neurodegenerative diseases such as glaucoma. In this exploratory two-dimensional investigation, the lamina cribrosa is modeled as a poroelastic material where blood vessels are viewed as pores in a solid elastic matrix. The model is used to investigate the influence on the distributions of stress, blood volume fraction (or vascular porosity) and blood velocity within the lamina cribrosa due to the application of different levels of the intraocular pressure (IOP) and the enforcement of different mechanical constraints at the lamina's boundary. The model simulations suggest that the degree of fixity of the boundary constraint strongly influences the lamina's response to IOP elevation. Specifically, when the boundary is mechanically clamped, IOP elevation leads to an increase in stress close to the lamina's boundary, making it more susceptible to tissue damage. On the other hand, when rotations are allowed at the boundary, the most vulnerable region appears to be located at the lamina's central axis, in proximity of the eye globe, where increased stress and reduced vascular porosity and blood velocity are predicted for increased levels of IOP.

Original languageEnglish
Pages (from-to)33-41
Number of pages9
JournalMathematical Biosciences
Volume257
DOIs
StatePublished - Nov 1 2014

Fingerprint

Lamina
laminae (animals)
Optic Disk
Nerve
optics
Intraocular Pressure
Optics
nerve tissue
Perfusion
Blood Vessels
Blood
Porosity
blood vessels
Neurodegenerative diseases
Tissue
Biomechanics
Eye Diseases
Blood vessels
Hemodynamics
porosity

Keywords

  • Biological tissues
  • Eye
  • Finite element method
  • Lamina cribrosa
  • Optic nerve head
  • Poroelastic models

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Modeling and Simulation
  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Medicine(all)

Cite this

A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head. / Causin, Paola; Guidoboni, Giovanna; Harris, Alon; Prada, Daniele; Sacco, Riccardo; Terragni, Samuele.

In: Mathematical Biosciences, Vol. 257, 01.11.2014, p. 33-41.

Research output: Contribution to journalArticle

Causin, Paola ; Guidoboni, Giovanna ; Harris, Alon ; Prada, Daniele ; Sacco, Riccardo ; Terragni, Samuele. / A poroelastic model for the perfusion of the lamina cribrosa in the optic nerve head. In: Mathematical Biosciences. 2014 ; Vol. 257. pp. 33-41.
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