Limits...
Mathematical Modeling of Intravascular Blood Coagulation under Wall Shear Stress.

Rukhlenko OS, Dudchenko OA, Zlobina KE, Guria GT - PLoS ONE (2015)

Bottom Line: Numerical analysis of the model reveals the existence of two hydrodynamic thresholds for activation of blood coagulation in the system and unveils typical scenarios of thrombus formation.Relevant parametric diagrams are drawn.The results suggest a previously unrecognized role of relatively small plaques (resulting in less than 50% of the lumen area reduction) in atherothrombosis and have important implications for the existing stenting guidelines.

View Article: PubMed Central - PubMed

Affiliation: National Research Center for Hematology, Moscow, Russia; Moscow Institute of Physics and Technology, Dolgoprudny, Russia; Cherkasy National University, Cherkasy, Ukraine.

ABSTRACT
Increased shear stress such as observed at local stenosis may cause drastic changes in the permeability of the vessel wall to procoagulants and thus initiate intravascular blood coagulation. In this paper we suggest a mathematical model to investigate how shear stress-induced permeability influences the thrombogenic potential of atherosclerotic plaques. Numerical analysis of the model reveals the existence of two hydrodynamic thresholds for activation of blood coagulation in the system and unveils typical scenarios of thrombus formation. The dependence of blood coagulation development on the intensity of blood flow, as well as on geometrical parameters of atherosclerotic plaque is described. Relevant parametric diagrams are drawn. The results suggest a previously unrecognized role of relatively small plaques (resulting in less than 50% of the lumen area reduction) in atherothrombosis and have important implications for the existing stenting guidelines.

No MeSH data available.


Related in: MedlinePlus

Successive stages of a friable floating fibrin structure formation.a—thrombus nucleation, b—formation of fibre-like fibrin structure, c—thick and friable floating fibrin structure. Shown are the color maps of Nw—the weight-average number of monomers in fibrin-polymer in the vessel, with red areas representing regions of fibrin gel formation (). Streamlines are plotted to visualize the flow, and the separatrix is shown with a dashed line. Parameters used in these simulations are: Re = 180, h = 0.6, , . Note that only a fragment of the vessel closest to the plaque is depicted.
© Copyright Policy
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC4519339&req=5

pone.0134028.g005: Successive stages of a friable floating fibrin structure formation.a—thrombus nucleation, b—formation of fibre-like fibrin structure, c—thick and friable floating fibrin structure. Shown are the color maps of Nw—the weight-average number of monomers in fibrin-polymer in the vessel, with red areas representing regions of fibrin gel formation (). Streamlines are plotted to visualize the flow, and the separatrix is shown with a dashed line. Parameters used in these simulations are: Re = 180, h = 0.6, , . Note that only a fragment of the vessel closest to the plaque is depicted.

Mentions: Successive stages of the two different scenarios are shown in Figs 4 and 5. The figures show the distribution of the weight-average number of fibrin monomers in polymer chains Nw in the vessel. Red color corresponds to clots (), while green shades represent microthrombi with different lengths of polymer chains ().


Mathematical Modeling of Intravascular Blood Coagulation under Wall Shear Stress.

Rukhlenko OS, Dudchenko OA, Zlobina KE, Guria GT - PLoS ONE (2015)

Successive stages of a friable floating fibrin structure formation.a—thrombus nucleation, b—formation of fibre-like fibrin structure, c—thick and friable floating fibrin structure. Shown are the color maps of Nw—the weight-average number of monomers in fibrin-polymer in the vessel, with red areas representing regions of fibrin gel formation (). Streamlines are plotted to visualize the flow, and the separatrix is shown with a dashed line. Parameters used in these simulations are: Re = 180, h = 0.6, , . Note that only a fragment of the vessel closest to the plaque is depicted.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4519339&req=5

pone.0134028.g005: Successive stages of a friable floating fibrin structure formation.a—thrombus nucleation, b—formation of fibre-like fibrin structure, c—thick and friable floating fibrin structure. Shown are the color maps of Nw—the weight-average number of monomers in fibrin-polymer in the vessel, with red areas representing regions of fibrin gel formation (). Streamlines are plotted to visualize the flow, and the separatrix is shown with a dashed line. Parameters used in these simulations are: Re = 180, h = 0.6, , . Note that only a fragment of the vessel closest to the plaque is depicted.
Mentions: Successive stages of the two different scenarios are shown in Figs 4 and 5. The figures show the distribution of the weight-average number of fibrin monomers in polymer chains Nw in the vessel. Red color corresponds to clots (), while green shades represent microthrombi with different lengths of polymer chains ().

Bottom Line: Numerical analysis of the model reveals the existence of two hydrodynamic thresholds for activation of blood coagulation in the system and unveils typical scenarios of thrombus formation.Relevant parametric diagrams are drawn.The results suggest a previously unrecognized role of relatively small plaques (resulting in less than 50% of the lumen area reduction) in atherothrombosis and have important implications for the existing stenting guidelines.

View Article: PubMed Central - PubMed

Affiliation: National Research Center for Hematology, Moscow, Russia; Moscow Institute of Physics and Technology, Dolgoprudny, Russia; Cherkasy National University, Cherkasy, Ukraine.

ABSTRACT
Increased shear stress such as observed at local stenosis may cause drastic changes in the permeability of the vessel wall to procoagulants and thus initiate intravascular blood coagulation. In this paper we suggest a mathematical model to investigate how shear stress-induced permeability influences the thrombogenic potential of atherosclerotic plaques. Numerical analysis of the model reveals the existence of two hydrodynamic thresholds for activation of blood coagulation in the system and unveils typical scenarios of thrombus formation. The dependence of blood coagulation development on the intensity of blood flow, as well as on geometrical parameters of atherosclerotic plaque is described. Relevant parametric diagrams are drawn. The results suggest a previously unrecognized role of relatively small plaques (resulting in less than 50% of the lumen area reduction) in atherothrombosis and have important implications for the existing stenting guidelines.

No MeSH data available.


Related in: MedlinePlus