Isogeometric analysis for cardiac modeling and mechanical analysis

The traditional left ventricle (LV) model based on the finite element analysis (FEA) is not good enough to obtain the ideal continuity and accuracy of the model. Under this condition, formulation utilizing isogeometric analysis is expected to be introduced to improve numerical stability significantly. A kind of modeling and mechanical analysis method based on isogeometric analysis (IGA) is proposed to obtain the surface model in this paper, which is applied to the LV modeling and mechanical analysis. As far as the modeling to be concerned, the calculation of control points and basis function in our method is depended on the feature points via image segmentation, while the areas between the inner and outer wall are fitted with the IGA entity simulation and interpolation to obtain a solid LV model with control points., Meanwhile, the kinematical description is applied for mechanical analysis using the mechanics of materials formulated in the context of isogeometric analysis, while the constitutive equation is defined according to the theory of elasticity. Furthermore the distribution of stress and strain of myocardium could be calculated more easily according to the model-based stiffness matrix. Experimental results show that the model and mechanical analysis proposed in this paper is proved to be accurate and continuous.