A multi‐model approach to intravenous filter optimization

Abstract. We present the fiber-spring elastic model of the arterial wall with atherosclerotic plaque composed of a lipid pool and a fibrous cap. This model allows us to reproduce pressure to crosssectional area relationship along the diseased vessel which is used in the network model of global blood circulation. Atherosclerosis attacks a region of systemic arterial network. Our approach allows us to examine the impact of the diseased region onto global haemodynamics.

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“…Details on numerical implementation of the network blood circulation model can be found in [12] with some improvements introduced in [16]. …”

Section: Wall State Equations For Healthy and Diseased Vesselsmentioning

confidence: 99%

“…This allows us to examine the impact of diseased regions onto haemodynamics. Numerical recovery of the wall state equation was initially proposed for the simulation of the impact of an intravenous implant [16].…”

Section: Introductionmentioning

confidence: 99%

Blood Flow Simulation in Atherosclerotic Vascular Network Using Fiber-Spring Representation of Diseased Wall

Vassilevski

Simakov

Salamatova

et al. 2011

Math. Model. Nat. Phenom.

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“…The models apply to Hookean or Neo-Hookean elastic materials and provide discretized functional dependence (4.7). Similar approach with Hookean models have been developed in [16,17].…”

Section: Network Blood Flowmentioning

confidence: 99%

“…In [16,17] we have used the Hookean (linear) material model in order to study the impact of elastic vessel properties changes due to the endovascular filter implantation or the atherosclerotic plaque occurrence . In this paper, we use the Neo-Hookean (nonlinear) material model for both healthy and atherosclerotic arteries.…”

Section: Elasticity Models For Hookean and Neo-hookean Materialsmentioning

confidence: 99%

“…Advanced medical treatment of atherosclerosis is one of the challenges for contemporary medicine. A study of vascular diseases and, in particular, of atherosclerosis impact on haemodynamics may be based on mathematical models and numerical simulation [2,11,7,14,16,17]. It is supposed to use the closed blood circulation model [14] in which the elastic properties of blood vessels are included in the wall state equation.…”

Section: Introductionmentioning

confidence: 99%

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Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks

Vassilevski

Simakov

Salamatova

et al. 2011

Math. Model. Nat. Phenom.

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A global multiscale mathematical model for the human circulation with emphasis on the venous system

Müller

Toro

2014

Int. J. Numer. Meth. Biomed. Engng.

205

297

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We present a global, closed-loop, multiscale mathematical model for the human circulation including the arterial system, the venous system, the heart, the pulmonary circulation and the microcirculation. A distinctive feature of our model is the detailed description of the venous system, particularly for intracranial and extracranial veins. Medium to large vessels are described by one-dimensional hyperbolic systems while the rest of the components are described by zero-dimensional models represented by differential-algebraic equations. Robust, high-order accurate numerical methodology is implemented for solving the hyperbolic equations, which are adopted from a recent reformulation that includes variable material properties. Because of the large intersubject variability of the venous system, we perform a patient-specific characterization of major veins of the head and neck using MRI data. Computational results are carefully validated using published data for the arterial system and most regions of the venous system. For head and neck veins, validation is carried out through a detailed comparison of simulation results against patient-specific phase-contrast MRI flow quantification data. A merit of our model is its global, closed-loop character; the imposition of highly artificial boundary conditions is avoided. Applications in mind include a vast range of medical conditions. Of particular interest is the study of some neurodegenerative diseases, whose venous haemodynamic connection has recently been identified by medical researchers.

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A multi‐model approach to intravenous filter optimization

Abstract: SUMMARYWe present a multi-model approach to the study of side-effects of endovascular implants. A 2D model of elastic walls and a local 3D model of blood flow are combined with a 1D network blood circulation model. The three numerical models form an endovascular computational stand.

Cited by 14 publications

References 16 publications

Blood Flow Simulation in Atherosclerotic Vascular Network Using Fiber-Spring Representation of Diseased Wall

Blood Flow Simulation in Atherosclerotic Vascular Network Using Fiber-Spring Representation of Diseased Wall

Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks

A global multiscale mathematical model for the human circulation with emphasis on the venous system

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