The modeling of hemodynamic changes in cerebral arteries and cerebral aneurysms under condition of cerebral angiospasm

Objective: to study the changes of blood streams and main hemodynamic parameters with the help of mathematical modeling of blood flow through cerebral arteries and in cerebral aneurysm when the vessel lumen is constant and in the case of various variants of angiospasm. Material and methods: the computer design method was used in our study to determine the changes of hemodynamic parameters in aneurysm, occurring because of angiospasm of afferent vessels by the example of the model of cerebral aneurysm created with the usage of computer design as well as by the example of 2 models of basilar aneurysm and anterior communicating aneurysm based on the data of computed tomography angiography. We examined the influence of changed blood flow velocity and shaped of blood flow profiles on to shear stress especially under conditions of blood flow changes because of various variants of afferent vessels angiospasm. Results: the analysis of hemodynamic characteristics of aneurysm models under condition of various variants of angiospasm revealed that the narrowing of the lumen of afferent vessel leads to significantly increase of the blood flow velocity both in the spastic area and in aneurysm itself, the profile of blood flow is significantly changed especially in the case of consequential spastic areas of afferent vessel or aneurysm localization at the junction of several vessels. The shear stress is increased at the area of shock blood wave hit in aneurysm that leads to increase the risk of repeated aneurysm rupture. Conclusion: the mathematical modeling allows assaying, understanding and visual presenting the processes occurring during blood flow through the vessels and in aneurysm as well as their changes because of angiospasm. The creating of mathematical models of hemodynamic changes under condition of angiospasm will allow understanding and predicting the character of complications which can be occur in acute period of hemorrhage (e.g. repeated rupture of aneurysm), that is of great importance for selection of surgical strategy.

ангиоспазм, аневризма, математическое моделирование, церебральная гемодинамика, cerebral angiospasm, cerebral aneurysm, mathematical modeling, cerebral hemodynamics

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