Finite-Element Modeling of a Bevel-Tipped Needle Interacting With Gel

Assaad, W.; Jahya, Alex; Moreira, Pedro; Misra, Sarthak

doi:10.1142/s0219519415500797

Cited by 15 publications

(7 citation statements)

References 29 publications

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“…We note that here we employed a minimal model which captures the dominant characteristics of the problem. However, future studies will explore more intricate material models, such as modeling failure by crack propagation or material rupture (11, 36, 42, 65), characterizing the gel as a viscoelastic fluid adopting a Coupled Eulerian-Lagrangian (CEL)-based FE method for dynamic analysis during the insertion of an object into the medium (37). We also adopted a minimal model of root growth, and future work may include further biological factors which may promote penetration, e.g.…”

Section: Discussionmentioning

confidence: 99%

“…Furthermore, while some aspects of root mechanics and their impact on growth have been elucidated (10,(26)(27)(28)(29)(30)(31), and recent theoretical models have described the mechanical interaction of a growing root with an obstacle or its own weight (32)(33)(34), a comprehensive understanding of the mechanical aspects involved in soil penetration of growing roots is still lacking. In particular, computational examinations of object penetration have predominantly concentrated on pushing mechanisms that do not consider growth (17,20,(35)(36)(37)(38)(39)(40)(41)(42)(43), and existing models considering root growth provide limited analyses of the mechanical interaction with the surrounding medium (44)(45)(46)(47)(48)(49)(50)(51).…”

Section: Introductionmentioning

confidence: 99%

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The growth-driven penetration strategy of plant roots is mechanically more efficient than pushing

Koren,

Perilli,

Tchaicheeyan

et al. 2024

Preprint

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Plant roots are considered highly efficient soil explorers. As opposed to the push-driven penetration strategy commonly used by many digging organisms, roots penetrate by growing, adding new cells at the tip, and elongating over a well-defined growth zone. However, a comprehensive understanding of the mechanical aspects associated with root penetration is currently lacking. We perform penetration experiments following Arabidopsis thaliana roots growing into an agar gel environment, and a needle of similar dimensions pushed into the same agar. We measure and compare the environmental deformations in both cases by following the displacement of fluorescent beads embedded within the gel, combining confocal microscopy and Digital Volume Correlation (DVC) analysis. We find that deformations are generally smaller for the growing roots. To better understand the mechanical differences between the two penetration strategies we develop a computational model informed by experiments. Simulations show that, compared to push-driven penetration, grow-driven penetration reduces frictional forces and mechanical work, with lower propagation of displacements in the surrounding medium. These findings shed light on the complex interaction of plant roots with their environment, providing a quantitative understanding based on a comparative approach.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The growth-driven penetration strategy of plant roots is mechanically more efficient than pushing

Koren,

Perilli,

Tchaicheeyan

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…In the future, crack growth in tissue during deeper insertions must be modeled also, followed by further validation in animal models with quantitative metrics. Crack direction (or angle) generated by blunted needles is also important, to determine the direction of the needle trajectory, and must be studied via simulation or experimentation 32,33…”

Section: Discussionmentioning

confidence: 99%

Tip design for safety of steerable needles for robot-controlled brain insertion

Lehocky

Fellows-Mayle

Engh

et al. 2017

RSRR

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Background Current practice in neurosurgical needle insertion is limited by the straight trajectories inherent with rigid probes. One technique allowing curvilinear trajectories involves flexible bevel-tipped needles, which bend during insertion due to their asymmetry. In the brain, safety will require avoidance of the sharp tips often used in laboratory studies, in favor of a more rounded profile. Steering performance, on the other hand, requires maximal asymmetry. Design of safe bevel-tipped brain needles thus involves management of this tradeoff by adjusting needle gauge, bevel angle, and fillet (or tip) radius to arrive at a design that is suitably asymmetrical while producing strain, strain rate, and stress below the levels that would damage brain tissue. Methods Designs with a variety of values of needle radius, bevel angle, and fillet radius were evaluated in finite-element simulations of simultaneous insertion and rotation. Brain tissue was modeled as a hyperelastic, linear viscoelastic material. Based on the literature available, safety thresholds of 0.19 strain, 10 s−1 strain rate, and 120 kPa stress were used. Safe values of needle radius, bevel angle, and fillet radius were selected, along with an appropriate velocity envelope for safe operation. The resulting needle was fabricated and compared with a Sedan side-cutting brain biopsy needle in a study in the porcine model in vivo (N=3). Results The prototype needle selected was 1.66 mm in diameter, with bevel angle of 10° and fillet radius of 0.25 mm. Upon examination of postoperative CT and histological images, no differences in tissue trauma or hemorrhage were noted between the prototype needle and the Sedan needle. Conclusions The study indicates a general design technique for safe bevel-tipped brain needles based on comparison with relevant damage thresholds for strain, strain rate, and stress. The full potential of the technique awaits the determination of more exact safety thresholds.

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“…High-resolution finite element (FE) analyses, coupled with an accurate model of soft tissue damage, can provide a reliable means to understand, analyse and predict the processes occurring during flexible needle penetrations. Energy-based approaches and FE models have often been combined in needle insertions for fracture toughness measurement of soft tissues (Shergold and Fleck 2004;Azar and Hayward 2008;Gokgol et al 2012), and element deletion-based methods have been used to simulate the insertion of the needle (Kong et al 2011;Assaad et al 2015). In addition, some authors have described damaging and cutting using the cohesive zone model (CZM) approach.…”

Section: Introductionmentioning

confidence: 99%

“… 2011 ; Assaad et al. 2015 ). In addition, some authors have described damaging and cutting using the cohesive zone model (CZM) approach.…”

Section: Introductionmentioning

confidence: 99%

An adaptive finite element model for steerable needles

Terzano

Dini

Baena

et al. 2020

Biomech Model Mechanobiol

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Penetration of a flexible and steerable needle into a soft target material is a complex problem to be modelled, involving several mechanical challenges. In the present paper, an adaptive finite element algorithm is developed to simulate the penetration of a steerable needle in brain-like gelatine material, where the penetration path is not predetermined. The geometry of the needle tip induces asymmetric tractions along the tool-substrate frictional interfaces, generating a bending action on the needle in addition to combined normal and shear loading in the region where fracture takes place during penetration. The fracture process is described by a cohesive zone model, and the direction of crack propagation is determined by the distribution of strain energy density in the tissue surrounding the tip. Simulation results of deep needle penetration for a programmable bevel-tip needle design, where steering can be controlled by changing the offset between interlocked needle segments, are mainly discussed in terms of penetration force versus displacement along with a detailed description of the needle tip trajectories. It is shown that such results are strongly dependent on the relative stiffness of needle and tissue and on the tip offset. The simulated relationship between programmable bevel offset and needle curvature is found to be approximately linear, confirming empirical results derived experimentally in a previous work. The proposed model enables a detailed analysis of the tool-tissue interactions during needle penetration, providing a reliable means to optimise the design of surgical catheters and aid pre-operative planning.Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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Finite-Element Modeling of a Bevel-Tipped Needle Interacting With Gel

Cited by 15 publications

References 29 publications

The growth-driven penetration strategy of plant roots is mechanically more efficient than pushing

The growth-driven penetration strategy of plant roots is mechanically more efficient than pushing

Tip design for safety of steerable needles for robot-controlled brain insertion

An adaptive finite element model for steerable needles

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