Soft tissue modelling for applications in virtual surgery and surgical robotics

Famaey, Nele; Sloten, Jos Vander

doi:10.1080/10255840802020412

Cited by 95 publications

(48 citation statements)

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“…The hyperelastic formulation is a common mathematical description in the modeling of soft tissue, mainly because of its highly non-linear and quasiincompressible behavior (Famaey & Sloten, 2008). The incompressible character is due to the high water content of soft biological tissues and particularly in blood vessels.…”

Section: Hyperelastic Frameworkmentioning

confidence: 99%

Mathematical modeling of collagen turnover in biological tissue

et al. 2012

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We present a theoretical and computational model for collagen turnover in soft biological tissues. Driven by alterations in the mechanical environment, collagen fiber bundles may undergo important chronic changes, characterized primarily by alterations in collagen synthesis and degradation rates. In particular, hypertension triggers an increase in tropocollagen synthesis and a decrease in collagen degradation, which lead to the well-documented overall increase in collagen content. These changes are the result of a cascade of events, initiated mainly by the endothelial and smooth muscle cells. Here, we represent these events collectively in terms of two internal variables, the concentration of growth factor TGF-β and tissue inhibitors of metalloproteinases TIMP. While the upregulation of the former increases the collagen density, the upregulation of the latter increases the collagen density through decreasing matrix metalloproteinase MMP. We establish a mathematical theory for mechanically-induced collagen turnover and introduce a computational algorithm for its robust and efficient solution. We demonstrate that our model can accurately predict the experimentally observed collagen increase in response to hypertension reported in literature. Ultimately, the model can serve as a valuable tool to predict the chronic adaptation of collagen content to restore the homeostatic equilibrium state in vessels with arbitrary micro-structure and geometry.

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Section: Hyperelastic Frameworkmentioning

confidence: 99%

Mathematical modeling of collagen turnover in biological tissue

et al. 2012

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“…The MRI actuator body (1) is mounted on a support bridge (2) which is attached to two side plates (3) that are mounted onto the bottom plate (4). The whole assembly can be fixed on the scanner bed using a slide rail (5) and support ridge (6). The actuator orientation (blue arrows)…”

Section: The Mri Compatible Soft Tissue Indentor Assemblymentioning

confidence: 99%

“…The non-invasive investigation of soft tissue mechanical properties allows for the validation of detailed constitutive laws enabling derivation of in-vivo tissue loading conditions and prediction of injury. Hence it has a wide array of applications including impact biomechanics [4], rehabilitation engineering [5] and surgical simulation [6].…”

Section: Introductionmentioning

confidence: 99%

A novel MRI compatible soft tissue indentor and fibre Bragg grating force sensor

Moerman

Sprengers

Nederveen

et al. 2013

Medical Engineering & Physics

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“…Famaey and Sloten created a comprehensive review of the existing and most widely used soft tissue models that are integrated in MIS virtual surgical interfaces, introducing three major categories of tissue deformation and stress models [26]:…”

Section: Soft Tissue Modelsmentioning

confidence: 99%