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Mathematical model captures structural changes in eye’s circulation

Scottsdale, Ariz. (September 14, 2019)—A new mathematical model may help doctors learn more about the risk factors and causes of glaucoma, including the mechanisms affecting blood flow to the eye. The research will be presented today at the American Physiological Society (APS) Interface of Mathematical Models and Experimental Biology: Role of the Microvasculature Conference in Scottsdale, Ariz.

Mathematical modeling approaches in the study of glaucoma disparities among people of African and European descents, G. Guidoboni, et al., Journal of Coupled Systems and Multiscale Dynamics, Vol. 1(1) (2013) 1-21.Glaucoma is a progressive disease that causes damage to the optic nerve in the eye. Abnormally high pressure of fluids in the eye (intraocular pressure or IOP) may lead to glaucoma and can cause irreversible vision loss if not treated. However, clinicians may not always know the underlying cause of increases in IOP or understand how changes in IOP affect the rate of blood flow (blood velocity) in the eye.

Using data from scientific literature on IOP and measurements of the diameter, thickness and elasticity of the vessel walls inside the eye, researchers developed a reduced-dimension model of ocular circulation to simulate blood velocity and vessel deformation. Reduced-dimension models use geometric shapes, lines and points to represent blood vessels and other physiological structures. This kind of model captures the main mechanisms of body systems while solving the given problem easily and quickly on a computer, providing results that could be integrated in a clinical setting.

This model can be used as a “virtual toolbox” to help eye clinicians learn more about the mechanisms and factors that contribute to the development and progression of conditions such as glaucoma, explained Lucia Carichino, PhD, of the Rochester Institute of Technology in New York. Carichino’s model indicates that the tiny blood vessels in the eye (venules) get smaller as IOP increases. The venules’ reduced diameter then affects circulation in the central retinal artery, a larger vessel that provides nutrients to the eye and is often used to measure ocular blood flow.

“Mathematical tools can be used in synergy with clinical data to significantly advance the understanding of the mechanisms that affect the blood flow in the eye,” Carichino said. The use of this model “suggests that the retinal microvasculature, in particular retinal venules, plays a fundamental role in studying ocular blood flow,” she added.

Lucia Carichino, PhD, of the Rochester Institute of Technology in New York, will present the abstract, “Modeling the effect of retinal microvasculature on ocular hemodynamics” in the symposium “Retinal microcirculation” on Saturday, September 14, at the Scottsdale Plaza Resort.

NOTE TO JOURNALISTS: The APS Interface of Mathematical Models and Experimental Biology Conference: Role of the Microvasculature will be held September 11–14 in Scottsdale, Ariz. To schedule an interview with the conference organizers or presenters, contact the APS Communications Office or 301.634.7314. Find more research highlights in the APS News Room.

Physiology is the study of how molecules, cells, tissues and organs function in health and disease. Established in 1887, the American Physiological Society (APS) was the first U.S. society in the biomedical sciences field. The Society represents more than 10,000 members and publishes 15 peer-reviewed journals with a worldwide readership.

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