1. Physics of Living Systems

An in silico testbed for fast and accurate MR labeling of orthopedic implants

  1. Gregory M Noetscher  Is a corresponding author
  2. Peter J Serano
  3. Marc Horner
  4. Alexander Prokop
  5. Jonathan Hanson
  6. Kyoko Fujimoto
  7. James Brown
  8. Ara Nazarian
  9. Jerome Ackerman
  10. Sergey N Makaroff
  1. Electrical & Computer Eng. Dept, Worcester Polytechnic Institute, United States
  2. Ansys, United States
  3. Dassault Systèmes Deutschland GmbH, Germany
  4. Neva Electromagnetics, LLC, United States
  5. GE HealthCare, United States
  6. Micro Systems Enigineering, Inc, an affiliate of Biotronik, United States
  7. Musculoskeletal Translational Innovation Initiative, Department of Orthopedic Surgery, Beth Israel Deaconess Medical Center and Harvard Medical School, United States
  8. Harvard Medical School, United States
  9. Athinoula A Martinos Center for Biomed. Imaging, Massachusetts General Hospital, United States
https://doi.org/10.7554/eLife.90440.3
Share this article
Cite this article
  1. Gregory M Noetscher
  2. Peter J Serano
  3. Marc Horner
  4. Alexander Prokop
  5. Jonathan Hanson
  6. Kyoko Fujimoto
  7. James Brown
  8. Ara Nazarian
  9. Jerome Ackerman
  10. Sergey N Makaroff
(2023)
An in silico testbed for fast and accurate MR labeling of orthopedic implants
eLife 12:RP90440.
https://doi.org/10.7554/eLife.90440.3
  2. Download BibTeX
  3. Download .RIS

eLife assessment

This manuscript will provide a valuable method to evaluate the safety of MR in patients with orthopaedic implants, which is required in clinics. A strength of the work is that the in-silicon testbed is solid, based on the widely available human project, and validated. In addition, the toolbox will be open for clinical practice.

https://doi.org/10.7554/eLife.90440.3.sa0

Abstract

One limitation on the ability to monitor health in older adults using magnetic resonance (MR) imaging is the presence of implants, where the prevalence of implantable devices (orthopedic, cardiac, neuromodulation) increases in the population, as does the pervasiveness of conditions requiring MRI studies for diagnosis (musculoskeletal diseases, infections, or cancer). The present study describes a novel multiphysics implant modeling testbed using the following approaches with two examples: (1) an in silico human model based on the widely available Visible Human Project (VHP) cryo-section dataset; (2) a finite element method (FEM) modeling software workbench from Ansys (Electronics Desktop/Mechanical) to model MR radio frequency (RF) coils and the temperature rise modeling in heterogeneous media. The in silico VHP-Female model (250 parts with an additional 40 components specifically characterizing embedded implants and resultant surrounding tissues) corresponds to a 60-year-old female with a body mass index of 36. The testbed includes the FEM-compatible in silico human model, an implant embedding procedure, a generic parameterizable MRI RF birdcage two-port coil model, a workflow for computing heat sources on the implant surface and in adjacent tissues, and a thermal FEM solver directly linked to the MR coil simulator to determine implant heating based on an MR imaging study protocol. The primary target is MR labeling of large orthopedic implants. The testbed has very recently been approved by the US Food and Drug Administration (FDA) as a medical device development tool for 1.5 T orthopedic implant examinations.

Introduction

One limitation on the ability to monitor health in older adults using magnetic resonance (MR) imaging studies is the presence of implants, where the prevalence of implantable devices (orthopedic, cardiac, neuromodulation) increases in the population, as does the pervasiveness of conditions requiring MRI studies for diagnosis (musculoskeletal conditions, infections, or cancer). In 2020, 26% of the US population over 65 was estimated to carry a large joint or spinal implant (Kanal et al., 2015). Simultaneously, 12.6 million patients over 65 who carry orthopedic or cardiac implants will need an MR study within 10 years, according to an estimate in 2020 (Kanal et al., 2015) with this number expected to rise. Similarly, over 70% of the estimated 3 million pacemakers in the US are implanted in patients older than 65 (Lim et al., 2019; Puette et al., 2022), where approximately 20% of these patients will need an MR study within 12 months of device implantation (Brown et al., 2019).

Terms to be used to label MR information for medical devices – implants – include MR safe, MR conditional, and MR unsafe (US Department of Health and Human Services et al., 2021; US Food and Drug Administration, 2023a; American College of Radiology, 2020; Shellock et al., 2009). MR safe items are nonconducting, nonmetallic, and nonmagnetic items, such as a plastic Petri dish (Shellock et al., 2009). MR unsafe items include in particular ferromagnetic materials (Shellock et al., 2009); they should not enter the MR scanner room (US Food and Drug Administration, 2023a). All other devices that contain any metallic components, such as titanium (regardless of ferromagnetism), are MR conditional and will need to be evaluated and labeled for radio frequency (RF)-induced heating, image artifact, force, and torque (US Department of Health and Human Services et al., 2021). For the corresponding labeling icons, see US Food and Drug Administration, 2023a.

MR conditional implants may safely enter the MR scanner room only under the very specific conditions provided in the labeling. Patients should not be scanned unless the device can be positively identified as MR conditional and the conditions for safe use are met (US Food and Drug Administration, 2023a). When present, information about expected temperature rise and artifact extent may inform the risk/benefit decision of whether a patient should or should not undergo an MR examination (US Food and Drug Administration, 2023a).

Given the large numbers of implants subject to conditional labeling, the number of cleared US Food and Drug Administration (FDA) 510(k) submissions for orthopedic implantable devices with MR labeling has been growing exponentially since 2014 (Fujimoto et al., 2020), approaching 100 in 2019 (Fujimoto et al., 2020). However, practical testing is limited by constraints related to cost and resources, including testing tools (Fujimoto et al., 2020). As a result, a number of implants have been labeled ‘MR Not Evaluated’, which precludes patients’ access to MR imaging procedures (Fujimoto et al., 2020). Other implants may be labeled too restrictively (Kanal et al., 2015), limiting patient access to MR imaging (US Food and Drug Administration, 2022). When estimating combined data from Kanal et al., 2015; Fujimoto et al., 2020; US Food and Drug Administration, 2022; US Food and Drug Administration, 2023b, up to 2 million elderly patients in the US are potentially affected by MR labeling uncertainty.

Presumably, the most important consequence of this uncertainty is restricting general access to MR imaging studies for patients with implants. This also prevents the use of MR imaging for better soft tissue monitoring in the vicinity of implants. A prime example of the latter is periprosthetic joint infection following total hip replacement surgery, which occurs in only 1–2% of primary arthroplasties (Fischbacher and Borens, 2019; Zanetti, 2020) but in up to 30% of revision arthroplasties (Zanetti, 2020). This form of infection occurs due to mechanical loosening and dislocation, currently the most common causes for revision of total hip arthroplasty in the US (Li and Glassman, 2018). Periprosthetic joint infection-related mortality is approaching 5–8% at 1 year (Fischbacher and Borens, 2019). Presently, X-rays and other methods are used for diagnosis (Sheth et al., 2023), but results of MR imaging with metal artifact reduction were recently shown to be the most accurate tool in the diagnosis of several biomarkers of periprosthetic hip joint infection (Zanetti, 2020; Galley et al., 2020).

One major safety concern, relevant to both passive and active implants, is implant heating within MR RF and gradient coils (US Department of Health and Human Services et al., 2021; Song et al., 2018; Al-Dayeh et al., 2020; Winter et al., 2021; Wooldridge et al., 2021; Arduino et al., 2021; Arduino et al., 2022a; Bassen and Zaidi, 2022; Arduino et al., 2022b; Clementi et al., 2022; Oberle, 2021). Along with the required yet not entirely anatomical ASTM phantom test and other similar phantom tests (US Department of Health and Human Services et al., 2021; Song et al., 2018; Winter et al., 2021; Wooldridge et al., 2021; Bassen and Zaidi, 2022; Arduino et al., 2022b), numerical simulations with virtual human models generate accurate predictions of temperature rise (Al-Dayeh et al., 2020; Winter et al., 2021; Wooldridge et al., 2021; Arduino et al., 2022a; Clementi et al., 2022; Oberle, 2021) accepted by the FDA (Oberle, 2021). The electromagnetic and thermal simulation algorithms based on finite element, finite difference, and boundary element methods are reasonably well developed (Makarov et al., 2017; Noetscher et al., 2023; Noetscher et al., 2021; Noetscher, 2021). However, accessible, full body, detailed anatomical virtual human models reflecting major age, sex, race, and obesity variations are severely lacking. Their creation is a long, tedious, and labor-intensive process. Even today, it requires manual and semiautomatic supervised segmentation of full body MR images, surface mesh reconstruction, mesh intersection resolution, software compatibility and robustness testing, and finally examination of hundreds of different body compartments by anatomical experts.

An excellent collection of in silico human body models intended for this purpose is the Virtual Population, a product of the IT’IS Foundation (Oberle, 2021; Gosselin et al., 2014) widely used in both industrial and academic applications. While this population has many highly detailed body models, it is relatively homogeneous: reasonably fit, younger Caucasian European subjects, representing a comparatively limited subsection of human anatomy and physiology. Although three obese models were added in 2023 (IT’IS Foundation, 2023), two of the three are not truly anatomical and were obtained via morphing (the ‘Fats’ model being the exception). Also, while models are available for purchase and for research purposes, no background MRI data enabling independent tissue structure verification have been made publicly available for this population set.

The present study describes a complete ready-to-use implant modeling testbed for RF heating based on:

  1. an in silico human model constructed from the widely available Visible Human Project (VHP) (Spitzer et al., 1996; Ackerman, 1998) cryo-section dataset;

  2. a FEM modeling software workbench from Ansys HFSS (Electronics Desktop) to model the physical phenomena of an MR RF coil and corresponding temperature rise in heterogeneous media.

The in silico VHP-Female model (250 anatomical structures with an additional 40 components specifically modeling embedded implants Noetscher et al., 2021) characterizes a 60-year-old female subject with a body mass index of 36. The open-source version of this model (NEVA Electromagnetics, LLC, 2015) has over 600 registered users from both industry and academia worldwide. The testbed includes the in silico model, an implant embedding procedure, a generic parameterizable MR RF birdcage two-port coil model, a workflow for computing heat sources on the implant surface and neighboring tissues, and a thermal FEM solver directly linked to the MR coil simulator to estimate implant heating based on an MR imaging protocol. The primary target is MR labeling of large orthopedic implants. The testbed has recently been approved by the FDA as a medical device development tool (Neva Electromagnetics, LLC, 2022) for 1.5 T orthopedic implant examinations. We also present two simple application examples pertinent to choosing an appropriate MR imaging protocol for a particular orthopedic implant as well as validation against measurements of the heading of an ablation needle in bovine liver.

Materials and methods

In silico human model and implant embedding procedure

Request a detailed protocol

Figure 1 shows surface CAD meshes for the VHP-Female model (Makarov et al., 2017; Noetscher et al., 2021) (with some muscles removed for clarity) and examples of passive femoral implants embedded into the model. The corresponding physical femoral implants are shown on the top right of the figure.

Figure 1
Download asset Open asset
Visible Human Project (VHP)-Female Model with Embedded Passive Implants.

Left (a) – surface CAD meshes for the Visible Human Project (VHP)-Female model (with some muscles removed for purposes of visualization); and right – examples of passive femoral implants embedded into the model. (b–d) At top right – physical femoral implants; (e–g) at center and bottom – anatomically justified CAD realization within the virtual human VHP-Female. An Austin Moore implant is shown in b; a short proximal femoral nail with the proximal hip (a large femoral neck screw) is given in c; a long proximal femoral nail with the proximal hip is presented in d.

The implant registration enforces an anatomically correct implant position, and a certain part of the bone matter (cortical and/or trabecular) to be removed as necessary. A semiautomatic implant registration algorithm requiring limited user intervention has been employed based on the principal idea to use at least two anchor nodes per implant: a fixed node and a floating node. The floating anchor node is a vertex of the implant mesh belonging to a certain curve, say, the long axis of the bone. The fixed anchor node is a joint coincident vertex of the femur mesh and the implant mesh. These nodes define the proper implant position given the bone model and a cost function, with a ‘best fit’ based on a mesh intersection check and the signed normal distances between implant/bone boundaries. An additional criterion involves the minimum required thickness of the cortical bone matter with an embedded implant.

Computation of heat sources due to microwave absorption in MR RF coils

Request a detailed protocol

A generic, parameterized, and tunable MR RF birdcage two-port coil model (high-, low-, or bandpass), at 64 MHz (1.5 T) with a variable number of rungs was implemented in Ansys Electronics Desktop (Ansys HFSS, Figure 2a). This model is used to compute heat sources – either specific absorption rate (SAR) in W/kg or power loss density in W/m3 at any point in the body, including on the surface of the implants (Figure 2b, c; Kozlov et al., 2015). The in silico model with the implant(s) can be positioned at any appropriate landmark.

Figure 2
Download asset Open asset
Left – Visible Human Project (VHP)-Female computational phantom positioned within a 1.5 T MRI birdcage coil at the abdominal landmark.

Right – power loss density in W/m3 in the coil for the (b) Austin Moore and (c) femoral nail implants.

Determination of implant temperature rise as a function of scan time

Request a detailed protocol

An Ansys FEM transient thermal solver was employed to determine tissue temperature rise close to the implant caused by the heat sources. It requires knowing the relevant thermal properties of the tissues. The solver may approximately model blood perfusion, which is less important for bone, but is important for cardiac implants and other soft tissue implants (Winter et al., 2021).

The entire testbed has been integrated into Ansys Workbench, which allows the combination of different multiphysics modules within a single environment, as shown in Figure 3.

Figure 3
Download asset Open asset
Ansys Workbench modeling workflow consisting of the HFSS (electromagnetic) module labeled as A and B, and the transient thermal module labeled D.

Thermal material properties are contained in module C.

In this way, the output of the electromagnetic solver (Figure 3A and B) is the input to the thermal solver (Figure 3D). Both accurate FEM solvers utilize the same human model geometry throughout, but with different material properties (thermal vs electromagnetic).

Results

What is heating-related MR labeling of implants?

For the implantable devices that are categorized as MR conditional, the labeling includes scan and rest times at a given whole-body SAR or B1, rms+ (‘root mean square’ value of B1+ averaged over a period of 10 s). This is described in the FDA’s guidance document (US Department of Health and Human Services et al., 2021) (cf. also examples in Shellock et al., 2009) where devices are to be labeled for a 1 hr MR session, including both scan and rest times. The guidance states a certain interleaving combination of scan (e.g., 5 min) and rest (e.g., 15 min) times that guarantees implant heating is less than 5°C or another specified number (US Department of Health and Human Services et al., 2021). The FDA-required procedure is a measurement test in an ASTM gel-based homogeneous phantom (US Department of Health and Human Services et al., 2021; Song et al., 2018). When performing relevant numerical modeling, the pulse sequences and scan times should be converted to equivalent CW (continuous wave) operation, which is easier to model.

However, the response of the ASTM phantom is quite different from that of a real body, which includes bones and other tissues of varying electrical and thermal conductivities, as well as blood circulation and perfusion. In several test cases, our testbed prototype predicted a higher maximum temperature rise (up to 40% higher) at the implant tips versus in vitro experiments with a simplified gel phantom. In other cases, and for other implants, however, the heating was substantially lower (by 50% or so). Therefore, the in silico testbed will augment the ASTM measurements with accurate multiphysics modeling. Additionally, this modeling can assist with implant design in an efficient manner.

We note that this work is solely focused on the RF safety aspects of MR labeling. The results expressed herein should be considered supplemental to existing published guidelines.

Example: labeling long femoral titanium nail

Figure 4 shows an example of testing results for a long titanium femoral nail subject to three cycles of 15 min with a 2.3 W/kg average equivalent SAR exposure followed by 5 min of rest, resulting in a 1 hr total exposure in a 1.5 T MRI coil. The model predicts that the temperature near the implant reaches 41°C after the first exposure with its final value approaching 45°C, a total increase of about 10°C which is clearly unacceptable! Further simulations show that 4 min exposures followed by 16 min of rest would be a safe solution. In the testbed, the exposure time is arbitrary and can be rapidly tested and adjusted (within 5–7 min) to meet the FDA requirements (US Department of Health and Human Services et al., 2021) and construct the proper MR exposure protocol.

Figure 4
Download asset Open asset
Top – long femoral nail subject to three repetitions of 15 min exposure followed by 5 min of rest for 1 hr in total.

Center – temperature contour plot in a cut plane roughly bisecting the embedded femoral implant at the end of the last heating cycle. Bottom – temperature rise profile at the temperature probe. Only the bone is shown but the computations are performed for the entire model.

Comparison with experiment for a long resonant metal conductor with a sharp tip

The most challenging and important cases correspond to testing large and potentially resonant metal implants (Song et al., 2018) with relatively sharp tips or terminations since detecting resonance requires accurate high-frequency modeling. One extreme example was studied in Hue et al., 2018, where a simulated percutaneous RF ablation surgical procedure using MR heating was performed in ex vivo bovine liver in a 1.5 T scanner. The device under study was a bent long wire ‘antenna’ made resonant at the scanner Larmor frequency with an adjustable series capacitor. The antenna, a 26 AWG (0.40 mm) Teflon-insulated silver-plated copper wire taped around the edge of the patient table, was terminated in a simulated RF ablation needle (a 15 cm long 16 AWG/1.30 mm diameter bare copper wire), the tip of which was embedded into the liver to simulate the percutaneous ablation of a solid hepatic tumor. The parameterized testbed coil model was used to replicate the RF antenna and needle geometry of Hue et al., 2018, using standard electrical properties of human liver tissue. The peak tissue temperature increase imaged in Hue et al., 2018, by the proton resonance frequency shift method (20°C) and a 22°C increase recorded by a fiber optic temperature sensor at the needle tip agreed well with our modeled prediction of a 23°C increase using the modeling testbed.

A very fine FEM mesh resolution is required to accurately resolve temperature rise close to a sharp lead tip with a diameter of 1.3 mm – Figure 5. This is achieved using local automated adaptive FEM mesh refinement, which is a unique property of the present testbed. Figure 5 shows the corresponding testbed setup along with the lesion. A few relevant field movies are available as supplementary materials (Online Dropbox, 2023).

Figure 5
Download asset Open asset
Liver experiment setup: E-field distribution in the plane of the resonant loop and specific absorption rate (SAR) distribution within liver in a plane passing through the tip of the lead.

Bottom left – lesion in a section of ex vivo bovine liver created with heating at the tip of a 16 gauge (1.3 mm) bare copper wire needle in about 1.5 min (Hue et al., 2018).

Discussion and conclusion

The temperature rise in the surrounding tissues of a large orthopedic metallic implant subject to MR imaging is a significant point of concern and a potential barrier for the development of better implants. Numerical electromagnetic and thermal modeling offers a way to solve this complex problem with a sufficient degree of accuracy. We developed a complete testbed for realistic implant modeling, which includes a detailed FEM-compatible obese human female model, a parameterized tunable generic MR coil model, a method for implant embedding, and an accurate RF solver directly coupled with a transient thermal solver.

In the testbed, the MR exposure time is arbitrary and can be readily adjusted and rapidly tested (typically within ~5–7 min). This enables the user to meet regulatory requirements (US Department of Health and Human Services et al., 2021) and to construct a proper MR exposure protocol. A cross-platform compatibility of the in silico model has been established previously (Yanamadala et al., 2016). Further validation of cross-platform electromagnetic and thermal coupling performance is currently underway with Dassault Systèmes CST Studio Suite software package. The testbed along with the open-source version of the human model VHP-Female College (NEVA Electromagnetics, LLC, 2015) is available online at https://doi.org/10.5061/dryad.2jm63xswt.

While the workflow presented herein establishes a validated approach to estimate RF heating due to the presence of a passive implant within a human subject undergoing an MR procedure, certain limitations and proper use stipulations of this methodology should be identified. These include:

  1. The approach of embedding a given passive implant must be carefully considered and supervised by an orthopedic subject matter expert, preferably an orthopedic surgeon. While the procedures described above focus on insertion and registration of an implant to make it numerically suitable for simulation, relevant anatomic and physiological considerations must also be addressed to ensure a physically realistic and appropriate result. This will enable a proper simulated fit and no empty spaces or unintended tissue deformations.

  2. Temperature changes presented are due only to RF energy deposition. The results do not take into account the impact of low-frequency induction heating of metallic implants naturally caused by switched gradient fields. Important work on this subject matter has recently been reported in Winter et al., 2021; Wooldridge et al., 2021; Arduino et al., 2021; Arduino et al., 2022a; Bassen and Zaidi, 2022; Arduino et al., 2022b; Clementi et al., 2022. Unless an orthopedic implant has a loop path, heating due to gradient fields is typically less than heating due to RF energy deposition. The present testbed would be applicable to the induction heating of implants (and the expected temperature rise of nearby tissues), after switching from Ansys HFSS (the full wave electromagnetic FEM solver) to Ansys Maxwell (the eddy current FEM solver). Two examples of this kind have already been considered in Bassen and Zaidi, 2022; Bryan David Stem, 2014.

  3. The procedures presented in this work have been based on the response of a single human model of advanced age and high morbidity.

  4. Finally, validation was achieved using available published data (Muranaka et al., 2006; Muranaka et al., 2007; Muranaka et al., 2011) and relies upon the legitimacy and veracity of that data. Coil geometry, power settings, and other relevant parameters were taken explicitly from these sources and modeled to enable a faithful comparison.

Data availability

Data supporting this study may be found here: https://doi.org/10.5061/dryad.2jm63xswt.

The following data sets were generated
    1. Noetscher GM
    2. Serano PJ
    3. Horner M
    4. Prokop A
    5. Hanson J
    6. Fujimoto K
    7. Brown JE
    8. Nazarian A
    9. Ackerman J
    10. Makaroff SN
    (2023) Dryad
    An In-Silico Testbed for Fast and Accurate MR Labeling of Orthopaedic Implants.
    https://doi.org/10.5061/dryad.2jm63xswt

References

    1. Brown JE
    2. Qiang R
    3. Stadnik PJ
    (2019)
    Brain and Human Body Modeling: Computational Human Modeling at EMBC 2018
    Calculation of MRI RF-induced voltages for implanted medical devices using computational human models, Brain and Human Body Modeling: Computational Human Modeling at EMBC 2018, Springer, 10.1007/978-3-030-21293-3_1, https://www.ncbi.nlm.nih.gov/books/NBK549553/.
  9. Book
    1. Bryan David Stem
    (2014)
    Computer Modeling and Simulation of Implantable Medical Device Heating due to MRI Gradient Coil Field
    Purdue University.
    1. Fujimoto K
    2. Smith A
    3. Angelone LM
    4. Dwivedi V
    5. Rajan SS
    6. Showalter BL
    7. McMinn NL
    (2020)
    Retrospective analysis of radio-frequency safety of orthopedic passive implantable device
    Proceedings of the International Society for Magnetic Resonance in Medicine 28:4198.
  17. Book
    1. Kanal E
    2. Brown G
    3. Bruin PW
    4. Kugel H
    (2015)
    Scanning Patients with MR Conditional Implants
    Philips Professional Healthcare. FieldStrength Article.
    1. Li M
    2. Glassman AH
    (2018) What’s new in hip replacement
    The Journal of Bone and Joint Surgery. American Volume 100:1616–1624.
    https://doi.org/10.2106/JBJS.18.00583
  27. Book
    1. Noetscher GM
    (2021) The CAD-compatible VHP-male computational phantom
    In: Makarov SN, Noetscher GM, Nummenmaa A, editors. Brain and Human Body Modeling 2020. Springer. pp. 309–323.
    https://doi.org/10.1007/978-3-030-45623-8_19
    1. Noetscher G
    2. Serano P
    3. Nazarian A
    4. Makarov S
    (2023)
    Brain and Human Body Modelling 2021
    Computational tool comprising visible human project based anatomical female CAD model and Ansys HFSS/mechanical FEM software for temperature rise prediction near an orthopedic femoral nail implant during a 1.5t MRI scan, Brain and Human Body Modelling 2021, Springer, 10.1007/978-3-031-15451-5_9.
    1. Puette JA
    2. Malek R
    3. Ellison MB
    (2022)
    StatPearls
    Pacemaker, StatPearls, StatPearls Publishing Co.
  34. Book
    1. Sheth NP
    2. Foran JRH
    3. Peace WJ
    (2023)
    Joint Replacement Infection
    American Academy of Orthopaedic Surgeons.
  38. Report
    1. US Food and Drug Administration
    (2022)
    Medical Device Development Tool MDDT Q170004 Communications with FDA Center for Devices and Radiological Health
    Silver Spring.

Article and author information

Author details

  1. Gregory M Noetscher

    Electrical & Computer Eng. Dept, Worcester Polytechnic Institute, Worcester, United States
    Contribution
    Conceptualization, Formal analysis, Supervision, Validation, Investigation, Methodology, Writing – original draft, Project administration, Writing – review and editing
    Contributed equally with
    Peter J Serano
    For correspondence
    gregn@wpi.edu
    Competing interests
    No competing interests declared
    ORCID icon "This ORCID iD identifies the author of this article:" 0000-0001-9786-7206

  2. Peter J Serano

    Ansys, Canonsburg, United States
    Contribution
    Software, Investigation, Methodology
    Contributed equally with
    Gregory M Noetscher
    Competing interests
    Employees of Ansys

  3. Marc Horner

    Ansys, Canonsburg, United States
    Contribution
    Conceptualization, Writing – original draft, Writing – review and editing
    Competing interests
    Employees of Ansys
    ORCID icon "This ORCID iD identifies the author of this article:" 0000-0002-2483-5796

  4. Alexander Prokop

    Dassault Systèmes Deutschland GmbH, Darmstadt, Germany
    Contribution
    Conceptualization, Writing – review and editing
    Competing interests
    Employee of Dassault Systemes Deutschland GmbH

  5. Jonathan Hanson

    Neva Electromagnetics, LLC, Holden, United States
    Contribution
    Conceptualization, Writing – review and editing
    Competing interests
    Employee of Neva Electromagnetics, LLC

  6. Kyoko Fujimoto

    GE HealthCare, Chicago, United States
    Contribution
    Conceptualization, Supervision, Validation, Methodology, Writing – original draft, Writing – review and editing
    Competing interests
    Employee of GE HealthCare

  7. James Brown

    Micro Systems Enigineering, Inc, an affiliate of Biotronik, Lake Oswego, United States
    Contribution
    Conceptualization, Supervision, Writing – original draft, Writing – review and editing
    Competing interests
    Employee of Micro Systems Enigineering, Inc

  8. Ara Nazarian

    Musculoskeletal Translational Innovation Initiative, Department of Orthopedic Surgery, Beth Israel Deaconess Medical Center and Harvard Medical School, Boston, United States
    Contribution
    Conceptualization, Supervision, Writing – original draft, Writing – review and editing
    Competing interests
    No competing interests declared

  9. Jerome Ackerman

    1. Harvard Medical School, Boston, United States
    2. Athinoula A Martinos Center for Biomed. Imaging, Massachusetts General Hospital, Charlestown, United States
    Contribution
    Conceptualization, Supervision, Investigation, Methodology, Writing – original draft, Writing – review and editing
    Competing interests
    No competing interests declared
    ORCID icon "This ORCID iD identifies the author of this article:" 0000-0001-5176-7496

  10. Sergey N Makaroff

    1. Electrical & Computer Eng. Dept, Worcester Polytechnic Institute, Worcester, United States
    2. Athinoula A Martinos Center for Biomed. Imaging, Massachusetts General Hospital, Charlestown, United States
    Contribution
    Conceptualization, Software, Formal analysis, Supervision, Validation, Investigation, Methodology, Writing – original draft, Project administration, Writing – review and editing
    Competing interests
    No competing interests declared

Funding

National Institutes of Health (R01AR075077)

  • Jerome Ackerman

National Institutes of Health (R01EB029818)

  • Jerome Ackerman

The funders had no role in study design, data collection and interpretation, or the decision to submit the work for publication.

Acknowledgements

This work was supported by the National Institutes of Health (NIH) grants R01AR075077 and R01EB029818.

Version history

  1. Sent for peer review:
  2. Preprint posted:
  3. Reviewed Preprint version 1:
  4. Reviewed Preprint version 2:
  5. Version of Record published:

Cite all versions

You can cite all versions using the DOI https://doi.org/10.7554/eLife.90440. This DOI represents all versions, and will always resolve to the latest one.

Copyright

© 2023, Noetscher, Serano et al.

This article is distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use and redistribution provided that the original author and source are credited.

Metrics

  • 430
    views
  • 48
    downloads
  • 0
    citations

Views, downloads and citations are aggregated across all versions of this paper published by eLife.

Download links

A two-part list of links to download the article, or parts of the article, in various formats.

Downloads (link to download the article as PDF)

Open citations (links to open the citations from this article in various online reference manager services)

Cite this article (links to download the citations from this article in formats compatible with various reference manager tools)

  1. Gregory M Noetscher
  2. Peter J Serano
  3. Marc Horner
  4. Alexander Prokop
  5. Jonathan Hanson
  6. Kyoko Fujimoto
  7. James Brown
  8. Ara Nazarian
  9. Jerome Ackerman
  10. Sergey N Makaroff
(2023)
An in silico testbed for fast and accurate MR labeling of orthopedic implants
eLife 12:RP90440.
https://doi.org/10.7554/eLife.90440.3

Share this article

https://doi.org/10.7554/eLife.90440

Categories and tags

Research organism

Further reading

    1. Computational and Systems Biology
    2. Physics of Living Systems

    Emergence of planar cell polarity from the interplay of local interactions and global gradients

    Divyoj Singh, Sriram Ramaswamy ... Mohd Suhail Rizvi
    Research Article Updated

    Planar cell polarity (PCP) – tissue-scale alignment of the direction of asymmetric localization of proteins at the cell-cell interface – is essential for embryonic development and physiological functions. Abnormalities in PCP can result in developmental imperfections, including neural tube closure defects and misaligned hair follicles. Decoding the mechanisms responsible for PCP establishment and maintenance remains a fundamental open question. While the roles of various molecules – broadly classified into ‘global’ and ‘local’ modules – have been well-studied, their necessity and sufficiency in explaining PCP and connecting their perturbations to experimentally observed patterns have not been examined. Here, we develop a minimal model that captures the proposed features of PCP establishment – a global tissue-level gradient and local asymmetric distribution of protein complexes. The proposed model suggests that while polarity can emerge without a gradient, the gradient not only acts as a global cue but also increases the robustness of PCP against stochastic perturbations. We also recapitulated and quantified the experimentally observed features of swirling patterns and domineering non-autonomy, using only three free model parameters - rate of protein binding to membrane, the concentration of PCP proteins, and the gradient steepness. We explain how self-stabilizing asymmetric protein localizations in the presence of tissue-level gradient can lead to robust PCP patterns and reveal minimal design principles for a polarized system.

    1. Physics of Living Systems

    A scale-invariant log-normal droplet size distribution below the critical concentration for protein phase separation

    Tommaso Amico, Samuel Toluwanimi Dada ... Amos Maritan
    Research Article

    Many proteins have been recently shown to undergo a process of phase separation that leads to the formation of biomolecular condensates. Intriguingly, it has been observed that some of these proteins form dense droplets of sizeable dimensions already below the critical concentration, which is the concentration at which phase separation occurs. To understand this phenomenon, which is not readily compatible with classical nucleation theory, we investigated the properties of the droplet size distributions as a function of protein concentration. We found that these distributions can be described by a scale-invariant log-normal function with an average that increases progressively as the concentration approaches the critical concentration from below. The results of this scaling analysis suggest the existence of a universal behaviour independent of the sequences and structures of the proteins undergoing phase separation. While we refrain from proposing a theoretical model here, we suggest that any model of protein phase separation should predict the scaling exponents that we reported here from the fitting of experimental measurements of droplet size distributions. Furthermore, based on these observations, we show that it is possible to use the scale invariance to estimate the critical concentration for protein phase separation.

    1. Computational and Systems Biology
    2. Physics of Living Systems

    Intraspecific predator interference promotes biodiversity in ecosystems

    Ju Kang, Shijie Zhang ... Xin Wang
    Research Article

    Explaining biodiversity is a fundamental issue in ecology. A long-standing puzzle lies in the paradox of the plankton: many species of plankton feeding on a limited variety of resources coexist, apparently flouting the competitive exclusion principle (CEP), which holds that the number of predator (consumer) species cannot exceed that of the resources at a steady state. Here, we present a mechanistic model and demonstrate that intraspecific interference among the consumers enables a plethora of consumer species to coexist at constant population densities with only one or a handful of resource species. This facilitated biodiversity is resistant to stochasticity, either with the stochastic simulation algorithm or individual-based modeling. Our model naturally explains the classical experiments that invalidate the CEP, quantitatively illustrates the universal S-shaped pattern of the rank-abundance curves across a wide range of ecological communities, and can be broadly used to resolve the mystery of biodiversity in many natural ecosystems.