A continuum model for platelet plug formation, growth and deformation

Abstract

SUMMARYA numerical framework for modelling platelet plug dynamics is presented in this work. It consists of an extension of a biochemical and plug growth model with a solid mechanics model for the plug coupled with a fluid–structure interaction model for the blood flow–plug system. The platelet plug is treated as a neo‐Hookean elastic solid, of which the implementation is based on an updated Lagrangian approach. The framework is applied to different haemodynamic configurations coupled with different shear moduli of the plug. Results about plug growth, shape and size, as well as the stress distribution, are shown. Based on the simulations performed, we conclude that the deformability of the platelet plug is essential for its growth. Copyright © 2014 John Wiley & Sons, Ltd.

Thrombosis in Cerebral Aneurysms and the Computational Modeling Thereof: A Review

“…The methodology can account for hypo- and hypercoagulability. Many clotting models have been presented in literature, with some including all the equations that describe the clotting process and others presenting a reduced form of the coagulation process (Hockin et al, 2002 ; Panteleev et al, 2006 ; Wagenvoord et al, 2006 ; Anand et al, 2008 ; Filipovic et al, 2008 ; Purvis et al, 2008 ; Xu et al, 2008 ; Leiderman and Fogelson, 2011 ; Storti and Vosse, 2014 ). The ideal model would incorporate the minimum number of equations for capturing a unique patient's clotting profile.…”

“…This needs to be accounted for in a computational model as regions of clotted blood are likely to affect the rate at which coagulation proteins are delivered to the clot site, and the rate at which they react with one another. Various approaches can be taken to account for this difference in physical properties and each will have a different computational cost (Bodnár and Sequeira, 2008 ; Leiderman and Fogelson, 2011 ; Storti and Vosse, 2014 ). These are discussed in the section that follows.…”

“…In their two-dimensional model, Storti et al, and Storti and Vosse focused on fluid-structure interaction between the growing platelet mass and blood flow (Storti and Vosse, 2014 ; Storti et al, 2014 ). This model accounts for platelets, the flow field, biochemical reactions and the mechanical response of the growing clot.…”

“…Again, the level of detail in terms of platelet interactions could be excessive for the aneurysm model, but the model demonstrates strong coupling between platelet behavior and fluid transport. Storti et al and Storti and Vosse use Sorenson's model to account for platelet and biochemical activity (Storti and Vosse, 2014 ; Storti et al, 2014 ). Rather than altering the fluid properties (porosity or viscosity) to account for the effect of the clot on the flow field, they model the clot as a solid mass and define fluid-structure interaction to couple the behavior of the clot to the flow field.…”

Computational modelling of clot development in patient‐specific cerebral aneurysm cases

“…Coagulation network models focus on the development of mathematical descriptions of the reactions that take place during the clotting process, without flow . The defining feature of platelet models is that the processes governing adhesion, activation, accumulation and aggregation of platelets are central to model formulation and setup . Reaction‐mass transport systems aim to couple biochemical reactions with blood flow and examine the effect that the two systems have on each other .…”