The paper addresses methods for generation of individualized computational domains on the basis of medical imaging dataset. The computational domains will be used in one-dimensional (1D) and three-dimensional (3D)-1D coupled hemodynamic models. A 1D hemodynamic model employs a 1D network of a patient-specific vascular network with large number of vessels. The 1D network is the graph with nodes in the 3D space which bears additional geometric data such as length and radius of vessels. A 3D hemodynamic model requires a detailed 3D reconstruction of local parts of the vascular network. We propose algorithms which extend the automated segmentation of vascular and tubular structures, generation of centerlines, 1D network reconstruction, correction, and local adaptation. We consider two modes of centerline representation: (i) skeletal segments or sets of connected voxels and (ii) curved paths with corresponding radii. Individualized reconstruction of 1D networks depends on the mode of centerline representation. Efficiency of the proposed algorithms is demonstrated on several examples of 1D network reconstruction. The networks can be used in modeling of blood flows as well as other physiological processes in tubular structures. Copyright © 2015 John Wiley & Sons, Ltd.

In this work we propose a method for analysis of postsurgical haemodynamics after femoral artery treatment of occlusive vascular disease. Patient specific reconstruction algorithm of 1D core network based on MRI data is proposed as a tool for such analysis. Along with presurgical ultrasound data fitting it provides effective personalizing predictive method that is validated with clinical observations.

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.

The synthesis of the blood circulation model and the elastic fiber model of the vessel wall allows us to take into account the influence of possible vessel pathologies on the global blood flow. The interaction is based on the state equation representing the dependence of the transmural pressure on the cross-section of the vessel. Numerical properties of both models are considered in the paper.The mathematical modelling of blood circulation is a fundamental problem lying at the junction of several disciplines, such as differential equations, numerical analysis, elasticity theory, and physiology. Several numerical implementations of blood circulation models taking into account elastic properties of blood vessels were created in the last decade [6,9,10,14,21,22]. Previously we proposed an approach to synthesis of the blood circulation model and the elastic model of the vessel wall [24] taking into account the influence of possible vessel pathologies on the global blood flow. The distinctive feature of the approach is the use of merely one-dimensional differential operators, which provided us with an efficient numerical simulation technology. The mathematical blood flow model is a system of differential equations for each vessel linked by boundary conditions at the points of vessel junctions [22]. The mathematical model of the elastic vessel wall is based on the fiber approach [17,18] to the calculation of the reaction force as a response to the deformation of a fiber. The representation of an elastic body by sets of fibers of different configurations was successfully used for simulation of cardiac work [13] and collapsed veins [18]. In our model we used the same types of fibers as in [18].The synthesis of both models is based on the state equation representing the dependence of the transmural pressure on the cross-section area of the vessel. This