1,721,092 research outputs found
Variational approach for estimating the compliance of the cardiovascular tissue: an inverse fluid-structure interaction problem
No full textEstimation of the stiffness of a biological soft tissue is useful for the detection of pathologies such as tumors or atherosclerotic plaques. Elastography is a method based on the comparison between two images before and after a forced deformation of the tissue of interest. An inverse elasticity problem is then solved for the Young modulus estimation. In the case of arteries, no forced deformation is required, since vessels naturally move under the action of blood. Young modulus can be therefore estimated by solving a coupled inverse fluid-structure interaction problem. In this paper we focus on the mathematical properties of this problem and its numerical solution. We give some well posedness analysis and some preliminary results based on a synthetic data-set, i.e. test cases where the exact Young modulus is known and the displacement dataset is numerically generated by solving a forward fluid-structure interaction problem. We address the problem of the presence of the noise in the measured displacement and of the proper sampling frequency for obtaining reliable estimates
Numerical solution of flow rate boundary problems for an incompressible fluid in deformable domains
No full textIn this paper we consider the numerical solution of the interaction of an incompressible fluid and an elastic structure in a truncated computational domain. As well known, in this case there is the problem of prescribing realistic boundary data on the artificial sections, when only partial data are available. This problem has been investigated extensively for the rigid case. In this work we start considering the compliant case, by focusing on the flow rate conditions for the fluid. We propose three formulations of this problem, different algorithms for its numerical solution and carry out several 2D numerical simulations with the aim of comparing the performances of the different algorithms
Analysis of a geometrical multiscale model based on the coupling of PDE's and ODE's for Blood Flow Simulations
No full textGeometrical multiscale models for the cardiovascular system: from lumped parameters to 3D simulations
No full text
Flow rate boundary problems for an incompressible fluid in deformable domains: formulations and solution methods
No full textIn this paper we consider the numerical solution of the interaction of an incompressible fluid and an elastic structure in a truncated computational domain. As well known, in this case there is the problem of prescribing realistic boundary data on the artificial sections, when only partial data are available. This problem has been investigated extensively for the rigid case. In this work we start considering the compliant case, by focusing on the flow rate conditions for the fluid. We propose three formulations of this problem, different algorithms for its numerical solution and carry out several 2D numerical simulations with the aim of comparing the performances of the different algorithms
- …
