Real-time simulation of the nonlinear visco-elastic deformations of soft tissues

Basafa, Ehsan; Farahmand, Farzam

doi:10.1007/s11548-010-0508-6

Cited by 61 publications

(40 citation statements)

References 49 publications

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“…By considering the diameter of the smallest coil, , as the mean diameter, the wire diameter for the conical spring can be represented as (17) Assuming the initial height H is equal to L C (see Figure 1(a)), the parameters and G can be derived from Eqs. (11) and (12).…”

Section: S210mentioning

confidence: 99%

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Soft tissue modelling with conical springs

Omar

Zhong

Jazar

et al. 2015

BME

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Abstract. This paper presents a new method for real-time modelling soft tissue deformation. It improves the traditional massspring model with conical springs to deal with nonlinear mechanical behaviours of soft tissues. A conical spring model is developed to predict soft tissue deformation with reference to deformation patterns. The model parameters are formulated according to tissue deformation patterns and the nonlinear behaviours of soft tissues are modelled with the stiffness variation of conical spring. Experimental results show that the proposed method can describe different tissue deformation patterns using one single equation and also exhibit the typical mechanical behaviours of soft tissues.

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Section: S210mentioning

confidence: 99%

“…Various techniques have been reported focusing on improvement of the MSM's accuracy by introducing nonlinearity. Duffing's equation was used in the MSM to define the nonlinear loaddisplacement response [10][11][12]. This method divides the deformation curve into two regions.…”

Section: Introductionmentioning

confidence: 99%

Soft tissue modelling with conical springs

Omar

Zhong

Jazar

et al. 2015

BME

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“…Local truncation error needs to be reduced in order to preserve the accuracy and stability of the liver state model. A real-time simulation requires time step size to be within the range of 0.005 to 0.01 [7] [8]. Therefore, among optimized time step sizes obtained, the optimized time step size of 0.0063 with tolerance 0.000001 was most suitable to be used in real-time liver simulation.…”

Section: Timementioning

confidence: 99%

Optimizing time step size in modeling liver deformation

Sulaiman

Hui

Bade

et al. 2013

2013 IEEE 3rd International Conference on System Engineering and Technology

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Mass Spring Model (MSM) is often used to model human liver due to its easy implementation and low computational complexity. This paper focuses on development of a real-time human liver simulation, which enabled an efficient implementation of liver mechanical response incorporating nonlinearity and viscoelasticity properties. Optimization of the computational problems is necessary to permit real-time liver simulation. Adam Variable Step-Size Predictor-Corrector (AVSPC) method is preferred to solve the governing differential equations and considerably more accurate than Fourth-order Runge-Kutta (RK4) method. AVSPC method with higher accuracy leads to higher quality of liver simulation. Reduction of local truncation error is needed to maintain accuracy as well as preventing model state from rapid change. Optimized time step size 0.0063 was implemented in CHAI 3D to simulate real-time liver deformation caused by surgical indenter. Deformation of liver with higher deformation rate appears to have higher stiffness and higher stress relaxation rate. In conclusion, this model is a plausibly significant liver tissue model which is more suitable for real-time interaction with lower computational cost, more accurate, realistic and acceptable to be used in the near future.

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“…It models a deformable object as a system of mass points connected by springs. [1][2][3] In contrast, FEM focuses on the modeling accuracy. It models the mechanical behaviors of soft tissues based on rigorous mathematical analysis of continuum mechanics.…”

Section: Introductionmentioning

confidence: 99%

Local deformation for soft tissue simulation

et al. 2016

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This paper presents a new methodology to localize the deformation range to improve the computational efficiency for soft tissue simulation. This methodology identifies the local deformation range from the stress distribution in soft tissues due to an external force. A stress estimation method is used based on elastic theory to estimate the stress in soft tissues according to a depth from the contact surface. The proposed methodology can be used with both mass-spring and finite element modeling approaches for soft tissue deformation. Experimental results show that the proposed methodology can improve the computational efficiency while maintaining the modeling realism.

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Real-time simulation of the nonlinear visco-elastic deformations of soft tissues

Abstract: The proposed real time simulation model of soft tissue deformation due to a laparoscopic surgical indenter was efficient, realistic, and accurate in ex vivo testing. This model is a suitable candidate for testing in vivo during laparoscopic surgery.

Cited by 61 publications

References 49 publications

Soft tissue modelling with conical springs

Soft tissue modelling with conical springs

Optimizing time step size in modeling liver deformation

Local deformation for soft tissue simulation

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