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 LMSP - Laboratoire de Mécanique des Systèmes et des Procédés

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]

Siamak Niroomandi, Icíar Alfaro, Elías Cueto, Francisco Chinesta. On the Application of Model Reduction Techniques to Real Time Simulation of Non-Linear Tissues. Biomedical Simulation 4th International Symposium, ISBMS 2008, London, UK, July 7-8, 2008 Proceedings , Springer, 2010, ⟨10.1007/978-3-540-70521-5_2⟩. ⟨hal-01007526⟩