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Towards a multi-physics modelling framework for thrombolysis under the influence of blood flow

机译:建立多物理场血流影响下溶栓的建模框架

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摘要

Thrombolytic therapy is an effective means of treating thromboembolic diseases but can also give rise to life-threatening side effects. The infusion of a high drug concentration can provoke internal bleeding while an insufficient dose can lead to artery reocclusion. It is hoped that mathematical modelling of the process of clot lysis can lead to a better understanding and improvement of thrombolytic therapy. To this end, a multi-physics continuum model has been developed to simulate the dissolution of clot over time upon the addition of tissue plasminogen activator (tPA). The transport of tPA and other lytic proteins is modelled by a set of reaction–diffusion–convection equations, while blood flow is described by volume-averaged continuity and momentum equations. The clot is modelled as a fibrous porous medium with its properties being determined as a function of the fibrin fibre radius and voidage of the clot. A unique feature of the model is that it is capable of simulating the entire lytic process from the initial phase of lysis of an occlusive thrombus (diffusion-limited transport), the process of recanalization, to post-canalization thrombolysis under the influence of convective blood flow. The model has been used to examine the dissolution of a fully occluding clot in a simplified artery at different pressure drops. Our predicted lytic front velocities during the initial stage of lysis agree well with experimental and computational results reported by others. Following canalization, clot lysis patterns are strongly influenced by local flow patterns, which are symmetric at low pressure drops, but asymmetric at higher pressure drops, which give rise to larger recirculation regions and extended areas of intense drug accumulation.
机译:溶栓治疗是治疗血栓栓塞性疾病的有效手段,但也会引起危及生命的副作用。输注高浓度药物会引起内部出血,而剂量不足会导致动脉闭塞。希望对血块溶解过程进行数学建模可以更好地理解和改善血栓溶解疗法。为此,已经开发了一种多物理场连续模型,以模拟添加组织纤溶酶原激活剂(tPA)后血凝块随时间的溶解。 tPA和其他裂解蛋白的转运是通过一组反应扩散-对流方程建模的,而血流则是通过体积平均的连续性和动量方程来描述的。将凝块建模为纤维状多孔介质,其性质取决于血纤蛋白纤维半径和凝块的空隙度。该模型的独特之处在于它能够模拟从闭塞血栓溶解的初始阶段(扩散受限的运输)到再通过程,再到对流血影响下的运河化后溶栓过程的整个溶解过程。流。该模型已用于检查在不同压降下,完全阻塞的血栓在简化的动脉中的溶解情况。我们在裂解初期预测的裂解前沿速度与他人报道的实验和计算结果吻合良好。渠化后,血块溶解模式受到局部流动模式的强烈影响,局部流动模式在低压降时是对称的,而在较高的压降时是不对称的,这会导致较大的再循环区域和密集的药物积累区域。

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