Matthew Oldfield

Detailed finite element modelling of deep needle insertions into a soft tissue phantom using a cohesive approach

Detailed finite element modelling of needle insertions into soft tissue phantoms encounters difficulties of large deformations, high friction, contact loading and material failure. This paper demonstrates the use of cohesive elements in high-resolution finite element models to overcome some of the issues associated with these factors. Experiments are presented enabling extraction of the strain energy release rate during crack formation. Using data from these experiments, cohesive elements are calibrated and then implemented in models for validation of the needle insertion process. Successful modelling enables direct comparison of finite element and experimental force–displacement plots and energy distributions. Regions of crack creation, relaxation, cutting and full penetration are identified. By closing the loop between experiments and detailed finite element modelling, a methodology is established which will enable design modifications of a soft tissue probe that steers through complex mechanical interactions with the surrounding material.

Highly resolved strain imaging during needle insertion: Results with a novel biologically inspired device.

Percutaneous needle insertions are a common part of minimally invasive surgery. However, the insertion process is necessarily disruptive to the substrate. Negative side effects are migration of deep-seated targets and trauma to the surrounding material. Mitigation of these effects is highly desirable, but relies on a detailed understanding of the needle-tissue interactions, which are difficult to capture at a sufficiently high resolution. Here, an adapted Digital Image Correlation (DIC) technique is used to quantify mechanical behaviour at the sliding interface, with resolution of measurement points which is better than 0.5mm, representing a marked improvement over the state of the art. A method for converting the Eulerian description of DIC output to Lagrangian displacements and strains is presented and the method is validated during the simple insertion of a symmetrical needle into a gelatine tissue phantom. The needle is comprised of four axially interlocked quadrants, each with a bevel tip. Tests are performed where the segments are inserted into the phantom simultaneously, or in a cyclic sequence taking inspiration from the unique insertion strategy associated to the ovipositor of certain wasps. Data from around the needle-tissue interface includes local strain variations, material dragged along the needle surface and relaxation of the phantom, which show that the cyclic actuation of individual needle segments is potentially able to mitigate tissue strain and could be used to reduce target migration.

Soft Tissue Phantoms for Realistic Needle Insertion: A Comparative Study

Phantoms are common substitutes for soft tissues in biomechanical research and are usually tuned to match tissue properties using standard testing protocols at small strains. However, the response due to complex tool-tissue interactions can differ depending on the phantom and no comprehensive comparative study has been published to date, which could aid researchers to select suitable materials. In this work, gelatin, a common phantom in literature, and a composite hydrogel developed at Imperial College, were matched for mechanical stiffness to porcine brain, and the interactions during needle insertions within them were analyzed. Specifically, we examined insertion forces for brain and the phantoms; we also measured displacements and strains within the phantoms via a laser-based image correlation technique in combination with fluorescent beads. It is shown that the insertion forces for gelatin and brain agree closely, but that the composite hydrogel better mimics the viscous nature of soft tissue. Both materials match different characteristics of brain, but neither of them is a perfect substitute. Thus, when selecting a phantom material, both the soft tissue properties and the complex tool-tissue interactions arising during tissue manipulation should be taken into consideration. These conclusions are presented in tabular form to aid future selection.

Tissue deformation analysis using a laser based digital image correlation technique.

A laser based technique for planar time-resolved measurements of tissue deformation in transparent biomedical materials with high spatial resolution is developed. The approach is based on monitoring the displacement of micrometer particles previously embedded into a semi-transparent sample as it is deformed by some form of external loading. The particles are illuminated in a plane inside the tissue material by a thin laser light sheet, and the pattern is continuously recorded by a digital camera. Image analysis yields the locally and temporally resolved sample deformation in the measurement plane without the need for any in situ measurement hardware. The applicability of the method for determination of tissue deformation and material strain during the insertion of a needle probe into a soft material sample is demonstrated by means of an in vitro trial on gelatin.

Detailed finite element simulations of probe insertion into solid elastic material using a cohesive zone approach

In this paper a method is presented for detailed finite element modelling of probe insertion into an elastic material. This is part of an ongoing investigation into the mechanics of a novel, biomimetic, soft-tissue probe currently under development at Imperial College, London. Analysis is performed using a ‘cohesive zone’ approach by integrating multiple cohesive elements into a finite element mesh using Abaqus software. Cohesive zones with variable crack paths, generated by both remote tensile and contact loading, and substantial probe penetration along an arbitrarily curved crack path are demonstrated. These advances are critical to understanding probe interactions for the development of an existing prototype and control strategy.

Minimally disruptive needle insertion: a biologically inspired solution

The mobility of soft tissue can cause inaccurate needle insertions. Particularly in steering applications that employ thin and flexible needles, large deviations can occur between pre-operative images of the patient, from which a procedure is planned, and the intra-operative scene, where a procedure is executed. Although many approaches for reducing tissue motion focus on external constraining or manipulation, little attention has been paid to the way the needle is inserted and actuated within soft tissue. Using our biologically inspired steerable needle, we present a method of reducing the disruptiveness of insertions by mimicking the burrowing mechanism of ovipositing wasps. Internal displacements and strains in three dimensions within a soft tissue phantom are measured at the needle interface, using a scanning laser-based image correlation technique. Compared to a conventional insertion method with an equally sized needle, overall displacements and strains in the needle vicinity are reduced by 30% and 41%, respectively. The results show that, for a given net speed, needle insertion can be made significantly less disruptive with respect to its surroundings by employing our biologically inspired solution. This will have significant impact on both the safety and targeting accuracy of percutaneous interventions along both straight and curved trajectories.

Method to Reduce Target Motion Through Needle–Tissue Interactions

During minimally invasive surgical procedures, it is often important to deliver needles to particular tissue volumes. Needles, when interacting with a substrate, cause deformation and target motion. To reduce reliance on compensatory intra-operative imaging, a needle design and novel delivery mechanism is proposed. Three-dimensional finite element simulations of a multi-segment needle inserted into a pre-existing crack are presented. The motion profiles of the needle segments are varied to identify methods that reduce target motion. Experiments are then performed by inserting a needle into a gelatine tissue phantom and measuring the internal target motion using digital image correlation. Simulations indicate that target motion is reduced when needle segments are stroked cyclically and utilise a small amount of retraction instead of being held stationary. Results are confirmed experimentally by statistically significant target motion reductions of more than 8% during cyclic strokes and 29% when also incorporating retraction, with the same net insertion speed. By using a multi-segment needle and taking advantage of frictional interactions on the needle surface, it is demonstrated that target motion ahead of an advancing needle can be substantially reduced.

Multi-objective Design Optimization for a Steerable Needle for Soft Tissue Surgery

A novel steerable probe is being developed to access deep seated targets within soft tissue, with the aim of improving the accuracy of minimally invasive percutaneous needle insertions. Consisting of multiple axially interlocked segments that independently slide along each other, miniaturization of the design is required in order for the needle to be used in surgery. Within this study, a set of parameters which minimizes the risk of both buckling and separation is identified and a design optimization procedure based on finite element models is developed for the needle geometry. Four significant design variables are defined for a genetic multi-objective optimization algorithm. Loads and interactions between the four parts due to curved paths taken inside the soft tissue are modeled using generalized plane strain elements. The optimized set of non-dominated solutions is analyzed. By applying a decision- making process based on the value path method, the nondominated solutions are compared across the four objectives. It is found that smaller and less pronounced interlock features reduce contact forces and improve the sliding performance between needle segments. This results in a trade-off relationship between sliding performance and interlock strength and the most feasible design showing the best performance across all objectives is selected. The outcome is a new optimized design for the needle, which will be manufactured and tested with a suitable controller both in vitro and ex vivo.

Development and validation of a numerical model for cross-section optimization of a multi-part probe for soft tissue intervention

The popularity of minimally invasive surgical procedures is driving the development of novel, safer and more accurate surgical tools. In this context a multi-part probe for soft tissue surgery is being developed in the Mechatronics in Medicine Laboratory at Imperial College, London. This study reports an optimization procedure using finite element methods, for the identification of an interlock geometry able to limit the separation of the segments composing the multi-part probe. An optimal geometry was obtained and the corresponding three-dimensional finite element model validated experimentally. Simulation results are shown to be consistent with the physical experiments. The outcome of this study is an important step in the provision of a novel miniature steerable probe for surgery.

Needle geometry, target migration and substrate interactions in high resolution

Recent investigations considering flexible, steer-able needles for minimally invasive surgery have shown the significance of needle shape in determining the needle-tissue interactions leading to the access of targets. Digital Image Correlation has enabled internal deformation and strain caused by needle insertions to be seen in a soft tissue phantom at high resolution for the first time. Here, the impact of tip design on strains and displacements of material around the insertion axis is presented using Digital Image Correlation in a stable, plane-strain configuration. Insight into the shape of needles to minimise tissue trauma and generate interactions that would enable optimal steering conditions is provided. Needle tips with an included bevel angle up to 40° result in asymmetric displacement of the surrounding tissue phantom. Increasing the included tip angle to 60° results in more predictable displacement and strains that may enhance steering forces with little negative impact on the phantom.