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

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 1464-3634 (http://dx.doi.org/10.1093/imamat/67.1.41)

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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.

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