Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat and CEMAT P-1049-001, Lisbon, Portugal.
Math Biosci Eng. 2013 Jun;10(3):649-65. doi: 10.3934/mbe.2013.10.649.
Two different generalized Newtonian mathematical models for blood flow, derived for the same experimental data, are compared, together with the Newtonian model, in three different anatomically realistic geometries of saccular cerebral aneurysms obtained from rotational CTA. The geometries differ in size of the aneurysm and the existence or not of side branches within the aneurysm. Results show that the differences between the two generalized Newtonian mathematical models are smaller than the differences between these and the Newtonian solution, in both steady and unsteady simulations.
将两段不同的广义牛顿血流数学模型与牛顿模型进行比较，这两段模型都是根据相同的实验数据推导而来的。这三种不同的解剖学上真实的脑囊状动脉瘤模型是通过旋转 CTA 获得的，它们在动脉瘤的大小和动脉瘤内是否存在侧支方面存在差异。结果表明，在稳态和非稳态模拟中，这两种广义牛顿数学模型之间的差异都小于它们与牛顿解之间的差异。
