Modelling of thrombus growth in flow with a DPD-PDE method

Tosenberger, Alen; Ataullakhanov, Fazly I.; Bessonov, Nikolai; Panteleev, Mikhail A.; Tokarev, Alexey; Volpert, Vitaly

doi:10.1016/j.jtbi.2013.07.023

Cited by 59 publications

(59 citation statements)

References 43 publications

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“…In [45,48] DPD simulation results are compared with the Navier-Stokes and Stokes equations for Couette, Poiseuille, square-cavity and triangular-cavity flow. One of the important question in DPD simulations of fluid motion concerns the boundary conditions [48,108,136,137].…”

Section: Dissipative Particle Dynamicsmentioning

confidence: 99%

“…A DPD-PDE hybrid method was considered in [49,137]. The DPD method was used to model blood plasma flow and platelets, while concentrations of proteins were described by diffusion-convection equations in order to model substances which induced platelet activation [49].…”

Section: Blood Coagulationmentioning

confidence: 99%

“…The main goal in [49] was to develop a model of platelet aggregation based on the assumption that platelet activation precedes platelet aggregation. The mechanisms of clot growth and growth arrest were studied in [137]. …”

Section: Blood Coagulationmentioning

confidence: 99%

See 2 more Smart Citations

Methods of Blood Flow Modelling

Bessonov

Sequeira

Simakov

et al. 2015

Math. Model. Nat. Phenom.

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151

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Abstract. This review is devoted to recent developments in blood flow modelling. It begins with the discussion of blood rheology and its non-Newtonian properties. After that we will present some modelling methods where blood is considered as a heterogeneous fluid composed of plasma and blood cells. Namely, we will describe the method of Dissipative Particle Dynamics and will present some results of blood flow modelling. The last part of this paper deals with onedimensional global models of blood circulation. We will explain the main ideas of this approach and will present some examples of its application.

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Section: Dissipative Particle Dynamicsmentioning

confidence: 99%

Section: Blood Coagulationmentioning

confidence: 99%

See 1 more Smart Citation

Methods of Blood Flow Modelling

Bessonov

Sequeira

Simakov

et al. 2015

Math. Model. Nat. Phenom.

Self Cite

151

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“…A cerebral aneurysm healing is conditioned by the formation of clot or thrombus. The modelling of this biomechanical phenomenon named thrombosis is complex since the hemodynamic must be coupled to a biomechanical model in order to understand the thrombus formation based on patient biological factors [7] [8].…”

Section: Anisotropic Diffusionmentioning

confidence: 99%

Lattice Boltzmann method for modelling of biological phenomena

Noël¹,

Ge²,

Zhang³

et al. 2017

2017 25th European Signal Processing Conference (EUSIPCO)

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Abstract-This paper suggests a new methodology based on the Lattice Boltzmann Method for the modelling of complex biomechanical systems. The LBM can be applied for different operations due to the matching of the pixels of medical images with the nodes of the lattice used by the Lattice Boltzmann method. This allows the optimisation and reduction of the computation time when solving multiphysics complex phenomena. To demonstrate the efficiency of the chosen approach, the modelling of the thrombosis phenomenon within the cavity of a giant cerebral aneurysm has been implemented. The underlying strategy is to implement the Lattice Boltzmann Method for different operations such as extracting the geometry of a considered aneurysm associated to its parent vessel, solving fluid dynamics governing the blood flow and modelling the thrombus growth.

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“…3, case 2, lower graph) is given with a model for thrombus growth. For this, a hybrid approach based on the coupling between a dissipative particle dynamics (DPD) model and PDEs was proposed [37,38]. DPD is used to model blood plasma and platelets where platelets are represented by small soft spheres which can interact with fluid particles and adhere with each other.…”

Section: Cell-plugged Modelsmentioning

confidence: 99%

Hybrid Modelling in Biology: a Classification Review

Stéphanou

Volpert

2015

Math. Model. Nat. Phenom.

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Abstract. This paper presents a general review on hybrid modelling which is about to become ubiquitous in biological and medical modelling. Hybrid modelling is classically defined as the coupling of a continuous approach with a discrete one, in order to model a complex phenomenon that cannot be described in a standard homogeneous way mainly due to its inherent multiscale nature. In fact, hybrid modelling can be more than that since any types of coupled formalisms qualify as being hybrid. This review first presents the evolution and current context of this modelling approach. It then proposes a classification of the models through three different types that relate to the nature and level of coupling of the formalisms used.

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Modelling of thrombus growth in flow with a DPD-PDE method

Cited by 59 publications

References 43 publications

Methods of Blood Flow Modelling

Methods of Blood Flow Modelling

Lattice Boltzmann method for modelling of biological phenomena

Hybrid Modelling in Biology: a Classification Review

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