Mathematical modelling for keyhole surgery simulations: a biomechanical model for spleen tissue

P.J. Davies, A. Cuschieri, F.J. Carter

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

There is growing interest in the potential for computer simulations to provide good training materials for abdominal endoscopic or 'keyhole' surgery. This paper describes a preliminary study of the mechanical properties of abdominal (spleen) tissue. We show how experimental force-displacement data can be used to derive a biomechanical model for the tissue as an incompressible, homogeneous, isotropic nonlinear elastic material with an exponential stress-strain law. We also show how the model can be used to predict the response of the tissue to a surgical probe. This involves solving a complicated nonlinear constrained boundary-value problem, and there is a good fit between the computed solution and experimental data.
Original languageEnglish
Pages (from-to)41-67
Number of pages27
JournalIMA Journal of Applied Mathematics
Volume67
Issue number1
DOIs
Publication statusPublished - 2002

Keywords

  • nonlinear elasticity
  • biomechanics
  • modelling
  • computation
  • surgery

Fingerprint Dive into the research topics of 'Mathematical modelling for keyhole surgery simulations: a biomechanical model for spleen tissue'. Together they form a unique fingerprint.

Cite this