This paper revisits a new model reduction methodology based on the use of separated
representations, the so called Proper Generalized Decomposition—PGD. Space and time …

This paper revisits a powerful discretization technique, the Proper Generalized
Decomposition—PGD, illustrating its ability for solving highly multidimensional models. This …

In this paper we are addressing a new paradigm in the field of simulation-based engineering
sciences (SBES) to face the challenges posed by current ICT technologies. Despite the …

This paper presents a survey of the state-of-the-art deformable models studied in the
literature, with regard to soft tissue deformable modeling for interactive surgical simulation. It …

Most modeling approaches lie in either of the two categories: physics‐based or data‐driven.
Recently, a third approach which is a combination of these deterministic and statistical …

This work presents a data-driven method to simulate, in real-time, the biomechanical
behavior of the breast tissues in some image-guided interventions such as biopsies or …

The development of accurate real-time models of the biomechanical behavior of different
organs and tissues still poses a challenge in the field of biomechanical engineering. In the …

We introduce here a novel approach for the numerical simulation of nonlinear, hyperelastic
soft tissues at kilohertz feedback rates necessary for haptic rendering. This approach is …

Background and objective This paper focuses on computer simulation aspects of Digital
Twin models in the medical framework. In particular, it addresses the need of fast and …

This paper studies a new approach to dynamic modelling of soft tissue nonlinear
deformation behavior based on dynamic model decomposition. This approach derives the …