Modelling of platelet–fibrin clot formation in flow with a DPD–PDE method
Modelling of platelet–fibrin clot formation in flow with a DPD–PDE method
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DOI：
10.1007/s00285-015-0891-2
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发表时间：
2015-05
影响因子：
1.9
通讯作者：
A. Tosenberger;F. Ataullakhanov;N. Bessonov;M. Panteleev;A. Tokarev;V. Volpert
中科院分区：
文献类型：
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作者：
A. Tosenberger;F. Ataullakhanov;N. Bessonov;M. Panteleev;A. Tokarev;V. Volpert
本文致力于建立血流中血块生长的数学模型。止血系统的高度复杂性决定了需要使用数学模型来了解其在正常情况下，特别是在病理情况下的功能。在这项工作中，我们研究了血流、血小板聚集和血浆凝固之间的相互作用。我们建立了一个混合的DPD-PDE模型，其中用耗散粒子动力学(DPD)来模拟血浆流动和血小板，而血浆凝固的调节网络则用偏微分方程组来描述。模拟结果证实了凝块生长情景的有效性，在凝块形成的第一阶段，由于血小板间连接较弱，然后由于它们的激活，血小板形成了聚集体。这使得在血小板聚集的中心形成纤维蛋白网，那里的血流速度显著降低。纤维蛋白网会加强凝块，并使其进一步生长。当血栓变得足够大时，由于血管变窄和血栓表面血流剪切率的增加，它停止生长。它的外部被流动分离，显露出内部被纤维蛋白覆盖。这种纤维蛋白帽不允许新的血小板以高剪切率附着，凝块停止生长。研究了最终凝块大小与壁面剪切率和其他参数的关系。
The paper is devoted to mathematical modelling of clot growth in blood flow. Great complexity of the hemostatic system dictates the need of usage of the mathematical models to understand its functioning in the normal and especially in pathological situations. In this work we investigate the interaction of blood flow, platelet aggregation and plasma coagulation. We develop a hybrid DPD–PDE model where dissipative particle dynamics (DPD) is used to model plasma flow and platelets, while the regulatory network of plasma coagulation is described by a system of partial differential equations. Modelling results confirm the potency of the scenario of clot growth where at the first stage of clot formation platelets form an aggregate due to weak inter-platelet connections and then due to their activation. This enables the formation of the fibrin net in the centre of the platelet aggregate where the flow velocity is significantly reduced. The fibrin net reinforces the clot and allows its further growth. When the clot becomes sufficiently large, it stops growing due to the narrowed vessel and the increase of flow shear rate at the surface of the clot. Its outer part is detached by the flow revealing the inner part covered by fibrin. This fibrin cap does not allow new platelets to attach at the high shear rate, and the clot stops growing. Dependence of the final clot size on wall shear rate and on other parameters is studied.