Abnormal capillary growth in the retina has been recently associated with the presence of the Vascular Endothelial Growth Factor (VEGF). The production of VEGF is a result of oxygen starvation in the retina, which can take place as a consequence of inadequate capillary growth in premature babies or clogged capillaries in diabetics. When VEGF levels rise, they trigger abnormal blood vessel growth across the retina, and may cause damage, and sometimes permanent loss of vision. In this paper, a mathematical model that examines the effects of VEGF on the growth of retinal capillaries is presented. The model directly relates the production of VEGF to oxygen consumption. The diffusion equations for the concentrations of oxygen and VEGF are solved, and the capillary growth is determined as a function of the oxygen and VEGF concentrations.

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Only the article abstract is contained within the file associated with this article. ISSN:0895-7177 Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works in February 2014.

Document Type


Department, Program, or Center

School of Mathematical Sciences (COS)


RIT – Main Campus