Davies, P.J. and Cuschieri, A. and Carter, F.J. (2002) Mathematical modelling for keyhole surgery simulations: a biomechanical model for spleen tissue. IMA Journal of Applied Mathematics, 67 (1). pp. 41-67. ISSN 0272-4960Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|Keywords:||nonlinear elasticity, biomechanics, modelling, computation, surgery, Mathematics, Applied Mathematics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Strathprints Administrator|
|Date Deposited:||14 Jan 2007|
|Last modified:||28 May 2016 00:02|