Analysis of retinal circulation using an image-based network model of retinal vasculature.

This paper presents the results of a circulation analysis using an image based network model of a murine retinal vasculature, which closely represents the 3D vascular distribution of the retina. The uneven distribution of the red blood cells at vascular network bifurcations (i.e., plasma skimming effect), the microvascular diameter effect (i.e., Fahraeus-Lindqvist effect) and the role of endothelium surface layer (i.e., in vivo viscosity) were considered in determining the viscosity of the blood in the retinal vessel segments. The study yielded detailed distributions of the hemodynamic quantities in the arterial and venous trees shown in various anatomical based contour plots. Quantitative analysis was also carried out based on statistical distributions. The analysis shows that the distribution of the blood hematocrit (H(D)) in the retinal network is very non-uniform, with lower values at the pre-equator region (near the optic disc) and higher values in the equator region of the retina. This has significant influence on the distribution of apparent viscosity, pressure and wall shear stress (WSS) in the vasculature. The viscosity is generally higher in smaller vessels (i.e., pre-capillary vessels) but exceptions occur in some vessels where the H(D) is small. WSS is greater in smaller vessels located near the optic disc than that in the mainstream retinal vessels. The results presented can be directly useful to ophthalmologists and researchers working with retinal vasculature.

[1]  C D Murray,et al.  The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume. , 1926, Proceedings of the National Academy of Sciences of the United States of America.

[2]  Janet Liversidge,et al.  Improved leukocyte tracking in mouse retinal and choroidal circulation. , 2002, Experimental eye research.

[3]  G. Cokelet,et al.  The Fahraeus effect. , 1971, Microvascular research.

[4]  A. Pries,et al.  Design principles of vascular beds. , 1995, Circulation research.

[5]  A. Pries,et al.  Red cell distribution at microvascular bifurcations. , 1989, Microvascular research.

[6]  H. H. Lipowsky,et al.  The Distribution of Blood Rheological Parameters in the Microvasculature of Cat Mesentery , 1978, Circulation research.

[7]  W. Vilser,et al.  Retinal Vessel Reaction to Short-Term IOP Elevation in Ocular Hypertensive and Glaucoma Patients , 2001, European journal of ophthalmology.

[8]  R. Fåhraeus THE SUSPENSION STABILITY OF THE BLOOD , 1929 .

[9]  W. Olbricht,et al.  The motion of model cells at capillary bifurcations. , 1987, Microvascular research.

[10]  Ghassan S. Kassab,et al.  Analysis of pig’s coronary arterial blood flow with detailed anatomical data , 2007, Annals of Biomedical Engineering.

[11]  M. Olufsen,et al.  Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Conditions , 2000, Annals of Biomedical Engineering.

[12]  P. Henkind The retinal vascular system of the domestic cat. , 1966, Experimental eye research.

[13]  M J HOGAN,et al.  THE ULTRASTRUCTURE OF THE RETINAL BLOOD VESSELS. I. THE LARGE VESSELS. , 1963, Journal of ultrastructure research.

[14]  W. Vilser,et al.  Dilatation großer Netzhautgefäße nach Intraokulardrucksteigerung , 2000, Der Ophthalmologe.

[15]  B. Zweifach,et al.  Network analysis of microcirculation of cat mesentery. , 1974, Microvascular research.

[16]  A. Pries,et al.  Resistance to blood flow in microvessels in vivo. , 1994, Circulation research.

[17]  Y. Fung,et al.  Effect of velocity of distribution on red cell distribution in capillary blood vessels. , 1978, The American journal of physiology.

[18]  M. Hogan,et al.  THE ULTRASTRUCTURE OF THE RETINAL VESSELS. II. THE SMALL VESSELS. , 1963, Journal of ultrastructure research.

[19]  A. Pries,et al.  Blood flow in microvascular networks. Experiments and simulation. , 1990, Circulation research.

[20]  P. Ganesan,et al.  Development of an Image-Based Network Model of Retinal Vasculature , 2010, Annals of Biomedical Engineering.

[21]  R. Carr,et al.  Influence of vessel diameter on red cell distribution at microvascular bifurcations. , 1991, Microvascular research.

[22]  A. Pries,et al.  Structural adaptation and stability of microvascular networks: theory and simulations. , 1998, American journal of physiology. Heart and circulatory physiology.

[23]  P. Henkind,et al.  Radial peripapillary capillaries of the retina. I. Anatomy: human and comparative. , 1967, The British journal of ophthalmology.

[24]  S. Nellis,et al.  Modeling study on the distribution of flow and volume in the microcirculation of cat mesentery , 2006, Annals of Biomedical Engineering.

[25]  A. Pries,et al.  Blood viscosity in tube flow: dependence on diameter and hematocrit. , 1992, The American journal of physiology.

[26]  A. Pries,et al.  Biophysical aspects of blood flow in the microvasculature. , 1996, Cardiovascular research.

[27]  P S Jensen,et al.  Regional variation in capillary hemodynamics in the cat retina. , 1998, Investigative Ophthalmology and Visual Science.

[28]  G S Kassab,et al.  Analysis of blood flow in the entire coronary arterial tree. , 2005, American journal of physiology. Heart and circulatory physiology.

[29]  R T Carr,et al.  Plasma skimming in serial microvascular bifurcations. , 1990, Microvascular research.

[30]  G. Schmid-Schönbein,et al.  Model studies on distributions of blood cells at microvascular bifurcations. , 1985, The American journal of physiology.

[31]  T. W. Secomb,et al.  The endothelial surface layer , 2000, Pflügers Archiv.

[32]  T. Inomata,et al.  Microvasculature of the hamster eye: scanning electron microscopy of vascular corrosion casts. , 2001, Veterinary ophthalmology.

[33]  Robin Fåhræus,et al.  THE VISCOSITY OF THE BLOOD IN NARROW CAPILLARY TUBES , 1931 .

[34]  A. Popel,et al.  A computational study of the effect of capillary network anastomoses and tortuosity on oxygen transport. , 2000, Journal of theoretical biology.

[35]  David C. Hoaglin,et al.  Some Implementations of the Boxplot , 1989 .