Int J Comput Assist Radiol Surg - Quasi-linear viscoelastic modeling of arterial wall for surgical simulation.

Tópicos

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Resumo

RPOSE: Realistic soft tissue deformation modeling and haptic rendering for surgical simulation require accurate knowledge of tissue material characteristics. Biomechanical experiments on porcine tissue were performed, and a reduced quasi-linear viscoelastic model was developed to describe the strain-dependent relaxation behavior of the arterial wall. This information is used in surgical simulation to provide a realistic sensation of reduction in strength when the user holds a virtual blood vessel strained at different levels.MATERIALS AND METHODS: Twelve pieces of porcine abdominal artery were tested with uniaxial elongation and relaxation test in both circumferential and longitudinal directions. The mechanical property testing system consists of automated environment control, testing, and data collection mechanism. A combined logarithm and polynomial strain energy equation was applied to model the elastic response of the specimens. The reduced relaxation function was modified by integrating a rational equation as a corrective factor to precisely describe the strain-dependent relaxation effects.RESULTS: The experiments revealed that (1) stress is insensitive to strain rate in arterial tissue when the loading rate is low, and (2) the rate of stress relaxation of arterial wall is highly strain dependent. The proposed model can accurately represent the experimental data. Stress-strain function derived from the combined strain energy function is able to fit the tensile experimental data with R(2) equals to 0.9995 in circumferential direction and 0.999 in longitudinal direction. Modified reduced relaxation function is able to model the strain-dependent relaxation with R(2) equals to 0.9686 in circumferential direction and 0.988 in longitudinal direction.CONCLUSION: The proposed model, based on extensive biomechanical experiments, can be used for accurate simulation of arterial deformation and haptic rendering in surgical simulation. The resultant model enables stress relaxation status to be determined when subjected to different strain levels.

Resumo Limpo

rpose realist soft tissu deform model haptic render surgic simul requir accur knowledg tissu materi characterist biomechan experi porcin tissu perform reduc quasilinear viscoelast model develop describ straindepend relax behavior arteri wall inform use surgic simul provid realist sensat reduct strength user hold virtual blood vessel strain differ levelsmateri method twelv piec porcin abdomin arteri test uniaxi elong relax test circumferenti longitudin direct mechan properti test system consist autom environ control test data collect mechan combin logarithm polynomi strain energi equat appli model elast respons specimen reduc relax function modifi integr ration equat correct factor precis describ straindepend relax effectsresult experi reveal stress insensit strain rate arteri tissu load rate low rate stress relax arteri wall high strain depend propos model can accur repres experiment data stressstrain function deriv combin strain energi function abl fit tensil experiment data r equal circumferenti direct longitudin direct modifi reduc relax function abl model straindepend relax r equal circumferenti direct longitudin directionconclus propos model base extens biomechan experi can use accur simul arteri deform haptic render surgic simul result model enabl stress relax status determin subject differ strain level

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