Literature DB >> 8473124

Simulation of corneal neovascularization by inverted diffusion limited aggregation.

G Landini1, G Misson.   

Abstract

PURPOSE: The authors modeled the normally avascular mammalian cornea response to injury by neovascularization. The nature of this process remains obscure, although diffusion mechanisms are thought to be involved.
METHODS: Corneal neovascularization was simulated using fractal stochastic computer models for nonequilibrium diffusion (inverted diffusion limited aggregation) and a stochastic ballistic aggregation.
RESULTS: The inverted diffusion limited aggregation model was found to generate patterns strikingly similar to those observed in pathologic neovascularization of the cornea in vivo.
CONCLUSIONS: This result supports the role of random diffusion mechanisms modified by environmental factors, such as the release of angiogenic factors in corneal angiogenesis.

Entities:  

Mesh:

Year:  1993        PMID: 8473124

Source DB:  PubMed          Journal:  Invest Ophthalmol Vis Sci        ISSN: 0146-0404            Impact factor:   4.799


  5 in total

Review 1.  Mathematical modeling of tumor-induced angiogenesis.

Authors:  Nikos V Mantzaris; Steve Webb; Hans G Othmer
Journal:  J Math Biol       Date:  2004-02-06       Impact factor: 2.259

2.  Plus disease in retinopathy of prematurity: development of composite images by quantification of expert opinion.

Authors:  Michael F Chiang; Rony Gelman; Steven L Williams; Joo-Yeon Lee; Daniel S Casper; M Elena Martinez-Perez; John T Flynn
Journal:  Invest Ophthalmol Vis Sci       Date:  2008-04-11       Impact factor: 4.799

3.  Topology of the heterogeneous nature of the extracellular matrix on stochastic modeling of tumor-induced angiogenesis.

Authors:  Franck Amyot; Alex Small; Hacène Boukari; Kevin Camphausen; Amir Gandjbakhche
Journal:  Microvasc Res       Date:  2007-11-22       Impact factor: 3.514

4.  A model of growing vascular structures.

Authors:  F Nekka; S Kyriacos; C Kerrigan; L Cartilier
Journal:  Bull Math Biol       Date:  1996-05       Impact factor: 1.758

Review 5.  Mathematical modelling of angiogenesis.

Authors:  M A Chaplain
Journal:  J Neurooncol       Date:  2000 Oct-Nov       Impact factor: 4.130

  5 in total

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