On the Application of Model Reduction Techniques to Real Time Simulation of Non-Linear Tissues

Siamak Niroomandi (1) , Icíar Alfaro (1) , Elías Cueto (1) , Francisco Chinesta (2)

1 I3A - Aragón Institute of Engineering Research [Zaragoza]
2 GeM - Institut de Recherche en Génie Civil et Mécanique

In this paper we introduce a new technique for the real-time simulation of non-linear tissue behavior based on a model reduction technique known as Proper Orthogonal (POD) or Karhunen-Loève Decompositions. The technique is based upon the construction of a complete model (using Finite Element modelling or other numerical technique, for instance, but possibly from experimental data) and the extraction and storage of the relevant information in order to construct a model with very few degrees of freedom, but that takes into account the highly non-linear response of most living tissues. We present its application to the simulation of palpation a human cornea and study the limitations and future needs of the proposed technique.

Domaines: Mécanique [physics.med-ph]; Matériaux

Siamak Niroomandi, Icíar Alfaro, Elías Cueto, Francisco Chinesta. On the Application of Model Reduction Techniques to Real Time Simulation of Non-Linear Tissues. International Symposium on Computational Models for Biomedical Simulation (ISBM08), 2008, London, United Kingdom. ⟨10.1007/978-3-540-70521-5_2⟩. ⟨hal-01008584⟩