Modeling autoregulation in three-dimensional simulations of retinal hemodynamics
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Aletti M, Gerbeau J-F, Lombardi D. Modeling autoregulation in three-dimensional simulations of retinal hemodynamics. MAIO [Internet]. 2016 Feb. 24 [cited 2022 Jun. 25];1(1):88-115. Available from:

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retina; autoregulation; 3D hemodynamics


Purpose: Autoregulation is a mechanism necessary to maintain an approximately constant blood flow rate in the microcirculation when acute changes in systemic pressure occur. Failure of autoregulation in the retina has been associated with various diseases, including glaucoma. In this work, we propose an initial attempt to model autoregulation in a 3D network of retinal arteries.

Methods: The blood flow is modeled with the time-dependent Stokes equations. The arterial wall model includes the endothelium and the smooth muscle fibers. Various simplifying assumptions lead to a fluid-structure model where the structural part appears as a boundary condition for the fluid. The numerical simulations are performed on a patient-specific network of 25 segments of retinal arteries located in the inferior temporal quadrant.

Results: The simulations performed on the patient-specific artertial network have provided velocities which are in good agreement with published experimental data. In addition, the model allowed to reproduce flow rate-pressure curves which are comparable with experimental data or results obtained with 0D models. In particular, a characteristic plateau of the flow rate has been found for pressures ranging from 40 to 60 mmHg.

Conclusion: This work proposes the first 3D simulation of blood flow in a real network of retinal arteries and it also incorporates an autoregulation mechanism. This can be viewed as a first step towards a more complete 3D model of the hemodynamic of the eye.
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isolated rat cerebrovascular arteries: smooth muscle cell model, Medical

engineering & physics 25(8) (2003) 691--709.

J.Yang, J.W. ClarkJr, R.M. Bryan, C.S. Robertson, The myogenic response in

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