Diffuse domain method for needle insertion simulations

Jerg, Katharina I.; Austermühl, René Phillip; Roth, Karsten; Sundrup, Jonas Große; Kanschat, Guido; Hesser, Jürgen; Wittmayer, Lisa

doi:10.1002/cnm.3377

Cited by 3 publications

(12 citation statements)

References 33 publications

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“…In the diffuse formulation of the linear elastic tissue (Equation ( 4)) there are three phase field contributions: The phase field function ϕ for the distribution of the different tissue types, the absolute gradient of the phase field function j rϕ j for the traction boundary condition, and the two penalty terms multiplied by β for the application of Dirichlet boundary conditions. The convergence of the first two parts was shown in our previous work 3 and will therefore not be repeated.…”

Section: Diffuse Domain Equationsmentioning

confidence: 92%

“…This sliding friction is the main component leading to tissue deformation and is modeled as a force boundary condition to the tissue with magnitude t and in direction parallel to the needle shaft. 3…”

Section: Needle Insertionmentioning

confidence: 99%

“…In order to get a smooth transitioning between elastic parameters the sharp boundary is filtered with a Gaussian kernel with sigma equal to 0.5 mm as performed in our previous work. 3 The elastic properties of the pelvic floor are constant throughout the experiment, while the elastic modulus of the prostate is varied within the range of one sigma from E min ¼ 56 kPa to E max ¼ 136 kPa. comparison to a real-world phantom experiment for needle insertion and the simulation results for the needle-tissue relaxation.…”

Section: Tissue and Needle Relaxationmentioning

confidence: 99%

“…Tissue deformation during the insertion of a stiff needle with a symmetric tip is simulated in various ways using the finite element (FE) method to model accurate tissue deformation based on constitutive laws. [1][2][3] However, in medical interventions flexible needles with beveled tips are used in order to steer the needle through the tissue. By rotating the needle and thus changing the direction of the bevel, the physician can manipulate the path and force the needle to move into the opposite direction.…”

Section: Introductionmentioning

confidence: 99%

“…In our previous work a needle insertion simulation on a voxel basis and without the need of meshing was introduced. 3 It is based on the so-called fictitious or embedded domain method introduced by Kockelkoren et al 11 The general idea is to embed the domain of interest in a larger regular domain and instead of applying boundary conditions explicitly on a sharp boundary a smooth phase field function transitioning from 0 outside to 1 inside the domain is defined. In order to differentiate between different tissue types meshing of the organs' geometries is necessary for other FEM needle insertion simulations.…”

Section: Introductionmentioning

confidence: 99%

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Diffuse domain approach for flexible needle insertion and relaxation

Jerg,

Boggaram Naveen,

Kanschat

et al. 2023

Numer Methods Biomed Eng

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Needle insertion simulations play an important role in medical training and surgical planning. Most simulations require boundary conforming meshes, while the diffuse domain approach, currently limited to stiff needles, eliminates the need for meshing geometries. In this article the diffuse domain approach for needle insertion simulations is first extended to the use of flexible needles with bevel needle tips, which are represented by an Euler‐Bernoulli beam. The model parameters are tuned and the model is evaluated on a real‐world phantom experiment. Second, a new method for the relaxation of the needle‐tissue system after the user releases the needle is introduced. The equilibrium state of the system is determined by minimizing the potential energy. The convergence rate of the coupled Laplace equations for solving the Euler‐Bernoulli beam is 1.92 0.14 for decreasing cell size. The diffuse penalty method for the application of Dirichlet boundary conditions results in a convergence rate of 0.73 0.21 for decreasing phase field width. The simulated needle deviates on average by 0.29 mm compared to the phantom experiment. The error of the tissue deformation is below 1 mm for 97.5% of the attached markers. Two additional experiments demonstrate the feasibility of the relaxation process. The simulation method presented here is a valuable tool for patient‐specific medical simulations using flexible needles without the need for boundary conforming meshing. To the best of the authors' knowledge this is the first work to introduce a relaxation model, which is a major step for simulating accurate needle‐tissue positioning during realistic medical interventions.

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Section: Diffuse Domain Equationsmentioning

confidence: 92%

Section: Needle Insertionmentioning

confidence: 99%

Section: Tissue and Needle Relaxationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Diffuse domain approach for flexible needle insertion and relaxation

Jerg,

Boggaram Naveen,

Kanschat

et al. 2023

Numer Methods Biomed Eng

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Isogeometric analysis of subcutaneous injection of monoclonal antibodies

Lucio

Burés

Ardekani

et al. 2021

Computer Methods in Applied Mechanics and Engineering

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Three-dimensional Modeling and Simulation of Muscle Tissue Puncture Process

Song

Gao

et al. 2022

Chin. J. Mech. Eng.

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Needle biopsy is an essential part of modern clinical medicine. The puncture accuracy and sampling success rate of puncture surgery can be effectively improved through virtual surgery. There are few three-dimensional puncture (3D) models, which have little significance for surgical guidance under complicated conditions and restrict the development of virtual surgery. In this paper, a 3D simulation of the muscle tissue puncture process is studied. Firstly, the mechanical properties of muscle tissue are measured. The Mooney-Rivlin (M-R) model is selected by considering the fitting accuracy and calculation speed. Subsequently, an accurate 3D dynamic puncture model is established. The failure criterion is used to define the breaking characteristics of the muscle, and the bilinear cohesion model defines the breaking process. Experiments with different puncture speeds are carried out through the built in vitro puncture platform. The experimental results are compared with the simulation results. The experimental and simulated reaction force curves are highly consistent, which verifies the accuracy of the model. Finally, the model under different parameters is studied. The simulation results of varying puncture depths and puncture speeds are analyzed. The 3D puncture model can provide more accurate model support for virtual surgery and help improve the success rate of puncture surgery.

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Diffuse domain method for needle insertion simulations

Cited by 3 publications

References 33 publications

Diffuse domain approach for flexible needle insertion and relaxation

Diffuse domain approach for flexible needle insertion and relaxation

Isogeometric analysis of subcutaneous injection of monoclonal antibodies

Three-dimensional Modeling and Simulation of Muscle Tissue Puncture Process

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