Åshild Telle, Verena Charwat, Bérénice Charrez, Henrik Finsberg, Kevin E. Healy, Samuel T. Wall
Microphysiological systems (MPS) provide a highly controlled environment for the development and testing of human-induced pluripotent stem cell-based cardiac microtissues, with promising applications in disease modeling and drug development. Through optical measurements in such systems, we can quantify mechanical features such as motion and velocity during contraction. While these are useful for evaluating relative changes in muscle twitch, it remains challenging to quantify and characterize the actual active tension driving the contraction. Here, we aimed to quantify the active tension over time and space by solving an inverse problem in cardiac mechanics expressed by partial differential equations (PDEs). We formulated this as a PDE-constrained optimization problem based on a mechanical model defined for two-dimensional representations of the microtissues. Our optimization predicts active tension generated by the tissue as well as the fiber direction angle distribution. We used synthetic as well as experimental data to investigate the performance of our inversion protocol. Next, we employed the procedure to evaluate active tension changes in drug escalation studies of the inotropes omecamtiv mecarbil and Bay K8644. For both drug compounds, we observed a comparable increase in displacement, strain, and model-predicted active strain values upon higher drug doses. The estimated active tension was observed to be highest in the middle part of the tissue, and the fiber direction was mostly aligned with the longitudinal direction of the tissue. The computational framework presented here allows for spatiotemporal estimation of active tension in cardiac microtissues based on optical measurements. In the future, such methodologies might develop into valuable tools in drug development protocols.
{"title":"Estimation of Active Tension in Cardiac Microtissues by Solving a PDE-Constrained Optimization Problem","authors":"Åshild Telle, Verena Charwat, Bérénice Charrez, Henrik Finsberg, Kevin E. Healy, Samuel T. Wall","doi":"10.1002/cnm.70034","DOIUrl":"https://doi.org/10.1002/cnm.70034","url":null,"abstract":"<p>Microphysiological systems (MPS) provide a highly controlled environment for the development and testing of human-induced pluripotent stem cell-based cardiac microtissues, with promising applications in disease modeling and drug development. Through optical measurements in such systems, we can quantify mechanical features such as motion and velocity during contraction. While these are useful for evaluating relative changes in muscle twitch, it remains challenging to quantify and characterize the actual active tension driving the contraction. Here, we aimed to quantify the active tension over time and space by solving an inverse problem in cardiac mechanics expressed by partial differential equations (PDEs). We formulated this as a PDE-constrained optimization problem based on a mechanical model defined for two-dimensional representations of the microtissues. Our optimization predicts active tension generated by the tissue as well as the fiber direction angle distribution. We used synthetic as well as experimental data to investigate the performance of our inversion protocol. Next, we employed the procedure to evaluate active tension changes in drug escalation studies of the inotropes omecamtiv mecarbil and Bay K8644. For both drug compounds, we observed a comparable increase in displacement, strain, and model-predicted active strain values upon higher drug doses. The estimated active tension was observed to be highest in the middle part of the tissue, and the fiber direction was mostly aligned with the longitudinal direction of the tissue. The computational framework presented here allows for spatiotemporal estimation of active tension in cardiac microtissues based on optical measurements. In the future, such methodologies might develop into valuable tools in drug development protocols.</p>","PeriodicalId":50349,"journal":{"name":"International Journal for Numerical Methods in Biomedical Engineering","volume":"41 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cnm.70034","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143865799","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Microfluidic devices (MDs) present a novel method for detecting circulating tumor cells (CTCs), enhancing the process through targeted techniques and visual inspection. However, current approaches often yield heterogeneous CTC populations, necessitating additional processing for comprehensive analysis and phenotype identification. These procedures are often expensive, time-consuming, and need to be performed by skilled technicians. In this study, we investigate the potential of a cost-effective and efficient hyperuniform micropost MD approach for CTC classification. Our approach combines mathematical modeling of fluid–structure interactions in a simulated microfluidic channel with machine learning techniques. Specifically, we developed a cell-based modeling framework to assess CTC dynamics in erythrocyte-laden plasma flow, generating a large dataset of CTC trajectories that account for two distinct CTC phenotypes. Convolutional neural network (CNN) and recurrent neural network (RNN) were then employed to analyze the dataset and classify these phenotypes. The results demonstrate the potential effectiveness of the hyperuniform micropost MD design and analysis approach in distinguishing between different CTC phenotypes based on cell trajectory, offering a promising avenue for early cancer detection.
{"title":"Validation of a Microfluidic Device Prototype for Cancer Detection and Identification: Circulating Tumor Cells Classification Based on Cell Trajectory Analysis Leveraging Cell-Based Modeling and Machine Learning","authors":"Rifat Rejuan, Eugenio Aulisa, Wei Li, Travis Thompson, Sanjoy Kumar, Suncica Canic, Yifan Wang","doi":"10.1002/cnm.70037","DOIUrl":"https://doi.org/10.1002/cnm.70037","url":null,"abstract":"<div>\u0000 \u0000 <p>Microfluidic devices (MDs) present a novel method for detecting circulating tumor cells (CTCs), enhancing the process through targeted techniques and visual inspection. However, current approaches often yield heterogeneous CTC populations, necessitating additional processing for comprehensive analysis and phenotype identification. These procedures are often expensive, time-consuming, and need to be performed by skilled technicians. In this study, we investigate the potential of a cost-effective and efficient hyperuniform micropost MD approach for CTC classification. Our approach combines mathematical modeling of fluid–structure interactions in a simulated microfluidic channel with machine learning techniques. Specifically, we developed a cell-based modeling framework to assess CTC dynamics in erythrocyte-laden plasma flow, generating a large dataset of CTC trajectories that account for two distinct CTC phenotypes. Convolutional neural network (CNN) and recurrent neural network (RNN) were then employed to analyze the dataset and classify these phenotypes. The results demonstrate the potential effectiveness of the hyperuniform micropost MD design and analysis approach in distinguishing between different CTC phenotypes based on cell trajectory, offering a promising avenue for early cancer detection.</p>\u0000 </div>","PeriodicalId":50349,"journal":{"name":"International Journal for Numerical Methods in Biomedical Engineering","volume":"41 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143871777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Laura Engelhardt, Renate Sachse, Rainer Burgkart, Wolfgang A. Wall
The shoulder joint is one of the functionally and anatomically most sophisticated articular systems in the human body. Both complex movement patterns and the stabilization of the highly mobile joint rely on intricate three-dimensional interactions among various components. Continuum-based finite element models can capture such complexity and are thus particularly relevant in shoulder biomechanics. Considering their role as active joint stabilizers and force generators, skeletal muscles require special attention regarding their constitutive description. In this contribution, we propose a constitutive description to model active skeletal muscle within complex musculoskeletal systems, focusing on a novel continuum shoulder model. Based on a thorough review of existing material models, we select an active stress, an active strain, and a generalized active strain approach and combine the most promising and relevant features in a novel material model. We discuss the four models considering physiological, mathematical, and computational aspects, including the applied activation concepts, biophysical principles of force generation, and arising numerical challenges. To establish a basis for numerical comparison, we identify the material parameters based on experimental stress–strain data obtained under multiple active and passive loading conditions. Using the example of a fusiform muscle, we investigate force generation, deformation, and kinematics during active isometric and free contractions. Eventually, we demonstrate the applicability of the proposed material model in a novel continuum mechanical model of the human shoulder, exploring the role of rotator cuff contraction in joint stabilization.
{"title":"Constitutive Models for Active Skeletal Muscle: Review, Comparison, and Application in a Novel Continuum Shoulder Model","authors":"Laura Engelhardt, Renate Sachse, Rainer Burgkart, Wolfgang A. Wall","doi":"10.1002/cnm.70036","DOIUrl":"https://doi.org/10.1002/cnm.70036","url":null,"abstract":"<p>The shoulder joint is one of the functionally and anatomically most sophisticated articular systems in the human body. Both complex movement patterns and the stabilization of the highly mobile joint rely on intricate three-dimensional interactions among various components. Continuum-based finite element models can capture such complexity and are thus particularly relevant in shoulder biomechanics. Considering their role as active joint stabilizers and force generators, skeletal muscles require special attention regarding their constitutive description. In this contribution, we propose a constitutive description to model active skeletal muscle within complex musculoskeletal systems, focusing on a novel continuum shoulder model. Based on a thorough review of existing material models, we select an active stress, an active strain, and a generalized active strain approach and combine the most promising and relevant features in a novel material model. We discuss the four models considering physiological, mathematical, and computational aspects, including the applied activation concepts, biophysical principles of force generation, and arising numerical challenges. To establish a basis for numerical comparison, we identify the material parameters based on experimental stress–strain data obtained under multiple active and passive loading conditions. Using the example of a fusiform muscle, we investigate force generation, deformation, and kinematics during active isometric and free contractions. Eventually, we demonstrate the applicability of the proposed material model in a novel continuum mechanical model of the human shoulder, exploring the role of rotator cuff contraction in joint stabilization.</p>","PeriodicalId":50349,"journal":{"name":"International Journal for Numerical Methods in Biomedical Engineering","volume":"41 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cnm.70036","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143865609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Traditional surgical interventions for frontal sinus fractures necessitate a cut on the forehead skin, and extant closed reduction techniques aimed at enhancing accessibility continue to grapple with secure tool fixation, stable bone elevation, and screw breakage risk. To address these challenges and augment surgical efficiency, this study introduces novel surgical devices. Design parameters for models with spiral or L-shaped tips are established, considering practical medical requirements and constraints, and subsequently validated through finite element method numerical simulations using commercial software, Ansys. Four spiral-type prototypes are constructed, and three scenarios for each prototype, varying in projection distance from the device handle to the bone-device contact point, are examined via nonlinear simulation analyses. For the L-shaped type, three prototypes are developed, and static analyses are conducted for four scenarios per prototype, differing in traction force locations, based on another simulation result concerning moments of inertia calculation with a force boundary condition unlike pressure. Maximum stress results under a specific force are analyzed, and the maximum permissible force is determined under the most unfavorable force application condition. Simulation outcomes indicate that the spiral type offers greater applicability with less force to lift multiple bones, while the L-shaped type is more suitable under bone hardening conditions.
{"title":"New Surgical Devices for Closed Reduction of Frontal Sinus Bone Fracture","authors":"Daehan Wi, Hoyul Lee, Woo Shik Jeong, Jaesoon Choi, Youngjin Moon, Jong Woo Choi","doi":"10.1002/cnm.70042","DOIUrl":"https://doi.org/10.1002/cnm.70042","url":null,"abstract":"<p>Traditional surgical interventions for frontal sinus fractures necessitate a cut on the forehead skin, and extant closed reduction techniques aimed at enhancing accessibility continue to grapple with secure tool fixation, stable bone elevation, and screw breakage risk. To address these challenges and augment surgical efficiency, this study introduces novel surgical devices. Design parameters for models with spiral or L-shaped tips are established, considering practical medical requirements and constraints, and subsequently validated through finite element method numerical simulations using commercial software, Ansys. Four spiral-type prototypes are constructed, and three scenarios for each prototype, varying in projection distance from the device handle to the bone-device contact point, are examined via nonlinear simulation analyses. For the L-shaped type, three prototypes are developed, and static analyses are conducted for four scenarios per prototype, differing in traction force locations, based on another simulation result concerning moments of inertia calculation with a force boundary condition unlike pressure. Maximum stress results under a specific force are analyzed, and the maximum permissible force is determined under the most unfavorable force application condition. Simulation outcomes indicate that the spiral type offers greater applicability with less force to lift multiple bones, while the L-shaped type is more suitable under bone hardening conditions.</p>","PeriodicalId":50349,"journal":{"name":"International Journal for Numerical Methods in Biomedical Engineering","volume":"41 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cnm.70042","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143852754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The primary aim of these analyses was to evaluate the mechanical characteristics of the restored proximal surface of the lower first molar by comparing four different preparation designs: (a) slot preparation, (b) slot preparation with bevel, (c) slot preparation with bevel and rounded proximal box corners (RPBC), and (d) slot preparation with bevel, rounded proximal box corners, and gingival bevel (GB). The finite element method was utilized to assess various load scenarios applied to slot and bevelled restorations prepared using adhesive restorative materials. The numerical analysis revealed higher tensile stresses by up to 15 MPa when normal traction was applied at the interface between enamel and slot preparations than at the interface between enamel and bevelled preparations. However, the beveled restorations showed increased shear stresses in their thin beveled regions. The results imply a risk of separation for slot restorations. Conversely, incorporating a bevel (with or without RPBC and GB) significantly decreased normal stresses on the restoration edge and shifted it predominantly to compressive stresses. Thus, bevelled restorations may be less prone to debonding at their edges under occlusal loads. However, they may still be susceptible to shear debonding when locally loaded on their thin-beveled regions.
{"title":"Comparative Analysis of Various Cavosurface Margins in Class II Restorations Using 3D Finite Element Method","authors":"Zuzanna Apel, Behzad Vafaeian, Joanna Zarzecka, Jenna Wuzinski, Derek B. Apel","doi":"10.1002/cnm.70041","DOIUrl":"https://doi.org/10.1002/cnm.70041","url":null,"abstract":"<p>The primary aim of these analyses was to evaluate the mechanical characteristics of the restored proximal surface of the lower first molar by comparing four different preparation designs: (a) slot preparation, (b) slot preparation with bevel, (c) slot preparation with bevel and rounded proximal box corners (RPBC), and (d) slot preparation with bevel, rounded proximal box corners, and gingival bevel (GB). The finite element method was utilized to assess various load scenarios applied to slot and bevelled restorations prepared using adhesive restorative materials. The numerical analysis revealed higher tensile stresses by up to 15 MPa when normal traction was applied at the interface between enamel and slot preparations than at the interface between enamel and bevelled preparations. However, the beveled restorations showed increased shear stresses in their thin beveled regions. The results imply a risk of separation for slot restorations. Conversely, incorporating a bevel (with or without RPBC and GB) significantly decreased normal stresses on the restoration edge and shifted it predominantly to compressive stresses. Thus, bevelled restorations may be less prone to debonding at their edges under occlusal loads. However, they may still be susceptible to shear debonding when locally loaded on their thin-beveled regions.</p>","PeriodicalId":50349,"journal":{"name":"International Journal for Numerical Methods in Biomedical Engineering","volume":"41 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cnm.70041","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143840844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Vishnu S. Emani, Caglar Ozturk, Manisha Singh, Carly Long, Summer Duffy, Danielle Gottlieb Sen, Ellen T. Roche, Wesley B. Baker
Abdominal near-infrared spectroscopy (NIRS) holds promise for early detection of necrotizing enterocolitis and other infant pathologies prior to irreversible injury, but the optimal NIRS sensor design is not well defined. In this study, we develop and demonstrate a computational method to evaluate NIRS sensor designs for infant splanchnic oximetry. We used a finite element (FE) approach to simulate near-infrared light transport through a 3D model of the infant abdomen constructed from computed tomography (CT) images. The simulations enable the measurement of the contrast-to-noise ratio (CNR) for splanchnic oximetry, given a specific NIRS sensor design. A key design criterion is the sensor's source–detector distance (SDD). We calculated the CNR as a function of SDD for two sensor positions near the umbilicus. Contrast-to-noise was maximal at SDDs between 4 and 5 cm, and comparable between sensor positions. Sensitivity to intestinal tissue also exceeded sensitivity to superficial adipose tissue in the 4–5 cm range. FE modeling of abdominal NIRS signals provides a means for rapid and thorough evaluation of sensor designs for infant splanchnic oximetry. By informing optimal NIRS sensor design, the computational methods presented here can improve the reliability and applicability of infant splanchnic oximetry.
{"title":"Finite Element Modeling of Abdominal Near-Infrared Spectroscopy for Infant Splanchnic Oximetry","authors":"Vishnu S. Emani, Caglar Ozturk, Manisha Singh, Carly Long, Summer Duffy, Danielle Gottlieb Sen, Ellen T. Roche, Wesley B. Baker","doi":"10.1002/cnm.70035","DOIUrl":"https://doi.org/10.1002/cnm.70035","url":null,"abstract":"<p>Abdominal near-infrared spectroscopy (NIRS) holds promise for early detection of necrotizing enterocolitis and other infant pathologies prior to irreversible injury, but the optimal NIRS sensor design is not well defined. In this study, we develop and demonstrate a computational method to evaluate NIRS sensor designs for infant splanchnic oximetry. We used a finite element (FE) approach to simulate near-infrared light transport through a 3D model of the infant abdomen constructed from computed tomography (CT) images. The simulations enable the measurement of the contrast-to-noise ratio (CNR) for splanchnic oximetry, given a specific NIRS sensor design. A key design criterion is the sensor's source–detector distance (SDD). We calculated the CNR as a function of SDD for two sensor positions near the umbilicus. Contrast-to-noise was maximal at SDDs between 4 and 5 cm, and comparable between sensor positions. Sensitivity to intestinal tissue also exceeded sensitivity to superficial adipose tissue in the 4–5 cm range. FE modeling of abdominal NIRS signals provides a means for rapid and thorough evaluation of sensor designs for infant splanchnic oximetry. By informing optimal NIRS sensor design, the computational methods presented here can improve the reliability and applicability of infant splanchnic oximetry.</p>","PeriodicalId":50349,"journal":{"name":"International Journal for Numerical Methods in Biomedical Engineering","volume":"41 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cnm.70035","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143835926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The ventricles can be considered a type of poroelastic material, where the mass and pressure of the interstitial fluid, along with the displacement of the skeleton, are the three primary physical quantities of interest. Based on the free energy function of the poroelastic material, we propose a simplified model that requires only two fields to be directly solved, with another quantity obtained through post-processing. To solve this model, we first discretize the equations with the backward Euler scheme and finite element method, leading to a nonlinear system of equations, which can be solved using the Newton method in a monolithic way. For computational efficiency, we proposed a staggered scheme, where the large nonlinear system is divided into two smaller independent systems, and each only solves for one field using the Newton method. The numerical results showed the staggered scheme is more efficient than the monolithic scheme and that the two schemes achieve the same results, and are also in good agreement with those reported in the literature. Finally, we applied the staggered scheme to ventricular myocardial perfusion models and obtained the blood perfusion patterns in the myocardium during the cardiac systole.
{"title":"An Efficient Staggered Scheme for Solving the Poromechanics Problem of Quasi-Static Cardiac Perfusion","authors":"Xuan Wang, Li Cai, Pengfei Ma, Hao Gao","doi":"10.1002/cnm.70030","DOIUrl":"https://doi.org/10.1002/cnm.70030","url":null,"abstract":"<div>\u0000 \u0000 <p>The ventricles can be considered a type of poroelastic material, where the mass and pressure of the interstitial fluid, along with the displacement of the skeleton, are the three primary physical quantities of interest. Based on the free energy function of the poroelastic material, we propose a simplified model that requires only two fields to be directly solved, with another quantity obtained through post-processing. To solve this model, we first discretize the equations with the backward Euler scheme and finite element method, leading to a nonlinear system of equations, which can be solved using the Newton method in a monolithic way. For computational efficiency, we proposed a staggered scheme, where the large nonlinear system is divided into two smaller independent systems, and each only solves for one field using the Newton method. The numerical results showed the staggered scheme is more efficient than the monolithic scheme and that the two schemes achieve the same results, and are also in good agreement with those reported in the literature. Finally, we applied the staggered scheme to ventricular myocardial perfusion models and obtained the blood perfusion patterns in the myocardium during the cardiac systole.</p>\u0000 </div>","PeriodicalId":50349,"journal":{"name":"International Journal for Numerical Methods in Biomedical Engineering","volume":"41 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kenneth Meyer, Christian Goodbrake, Michael S. Sacks
<div> <p>The use of patient-specific computational modeling of cardiovascular diseases has become increasingly popular to improve patient standard of care. Most simulation approaches currently utilize the finite element method (FEM), which is very well established and succeeds in producing high-fidelity results. However, it remains too slow for use in clinical settings, especially when many-query solutions are required to determine optimal therapeutic approaches. As a step toward addressing these demands, we have developed a Neural Network Finite Element (NNFE) approach that greatly accelerates simulations of soft tissue organ function. While the NNFE method utilizes conventional FEM meshes to define the problem geometry, it leverages advancements in neural network architecture design in new GPU-based software tools to solve the governing hyperelastic material PDEs. The NNFE method has recently captured physical contact between a deformable body and a frictionless symmetry plane. In the present work, we extended the NNFE approach to simulate trileaflet heart valve closure as a critical step in moving toward patient-specific applications. Our approach addressed two critical aspects of heart valve simulations: the use of 3D solid leaflet models as opposed to shell-based leaflet models and multi-body contact between the leaflets. We verified the approach by comparing displacements of NNFE simulated closure of a single heart valve leaflet against a frictionless symmetry plane with an identical simulation in tIGAr, the open-source isogeometric analysis extension of FEniCS. The average nodal displacement error was 0.020 mm (0.47% of the maximum displacement). We further evaluated our implementation by varying leaflet collagen fiber directions to mimic physiologically accurate deformation modes. Results of the approach indicated that the observed leaflet deformation patterns agreed well with previous trileaflet simulations. Significant variations in stress were observed transmurally, underscoring the need for solid elements to model leaflet geometry. Computational speed improvements produced an approximately 100-fold speedup, with the NNFE simulations of single leaflet closure taking 0.28 s while its FE counterpart took 61 s. Full trileaflet valve models with multi-body contact simulations took approximately 5 s, whereas equivalent FEM simulations take several hours. Training the full trileaflet model took approximately 16 h and was trained over the full functional range of pressure, so that training was only required once for all subsequent simulations. We conclude that the NNFE method can be successfully used to perform rapid simulations of complex 3D soft organ systems, such as the trileaflet heart valve, that involve large deformations, 3D geometries, and multi-body contact. Moreover, the ability to perform post-trained simulations in dramatically shorter time periods underscores the promise of machine learning-based computational
{"title":"A Neural Network Finite Element Trileaflet Heart Valve Model Incorporating Multi-Body Contact","authors":"Kenneth Meyer, Christian Goodbrake, Michael S. Sacks","doi":"10.1002/cnm.70038","DOIUrl":"https://doi.org/10.1002/cnm.70038","url":null,"abstract":"<div>\u0000 \u0000 <p>The use of patient-specific computational modeling of cardiovascular diseases has become increasingly popular to improve patient standard of care. Most simulation approaches currently utilize the finite element method (FEM), which is very well established and succeeds in producing high-fidelity results. However, it remains too slow for use in clinical settings, especially when many-query solutions are required to determine optimal therapeutic approaches. As a step toward addressing these demands, we have developed a Neural Network Finite Element (NNFE) approach that greatly accelerates simulations of soft tissue organ function. While the NNFE method utilizes conventional FEM meshes to define the problem geometry, it leverages advancements in neural network architecture design in new GPU-based software tools to solve the governing hyperelastic material PDEs. The NNFE method has recently captured physical contact between a deformable body and a frictionless symmetry plane. In the present work, we extended the NNFE approach to simulate trileaflet heart valve closure as a critical step in moving toward patient-specific applications. Our approach addressed two critical aspects of heart valve simulations: the use of 3D solid leaflet models as opposed to shell-based leaflet models and multi-body contact between the leaflets. We verified the approach by comparing displacements of NNFE simulated closure of a single heart valve leaflet against a frictionless symmetry plane with an identical simulation in tIGAr, the open-source isogeometric analysis extension of FEniCS. The average nodal displacement error was 0.020 mm (0.47% of the maximum displacement). We further evaluated our implementation by varying leaflet collagen fiber directions to mimic physiologically accurate deformation modes. Results of the approach indicated that the observed leaflet deformation patterns agreed well with previous trileaflet simulations. Significant variations in stress were observed transmurally, underscoring the need for solid elements to model leaflet geometry. Computational speed improvements produced an approximately 100-fold speedup, with the NNFE simulations of single leaflet closure taking 0.28 s while its FE counterpart took 61 s. Full trileaflet valve models with multi-body contact simulations took approximately 5 s, whereas equivalent FEM simulations take several hours. Training the full trileaflet model took approximately 16 h and was trained over the full functional range of pressure, so that training was only required once for all subsequent simulations. We conclude that the NNFE method can be successfully used to perform rapid simulations of complex 3D soft organ systems, such as the trileaflet heart valve, that involve large deformations, 3D geometries, and multi-body contact. Moreover, the ability to perform post-trained simulations in dramatically shorter time periods underscores the promise of machine learning-based computational","PeriodicalId":50349,"journal":{"name":"International Journal for Numerical Methods in Biomedical Engineering","volume":"41 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
<div> <p>The current investigation aims to determine the effects of blood flow through the artery system engulfed in the tumor region, exposed to localized heating during magnetic nanoparticle hyperthermia (MNPH). The MNPH simulations are performed on a physical breast model constructed from MRI images of a female patient with a breast tumor. The DCE_MRI DICOM images of breast cancer from The Cancer Imaging Archive (TCIA) of a patient are utilized to build realistic breast models using 3D slicer software. The visible blood artery, tumor, and surrounding healthy tissue were then imported into the COMSOL Multiphysics software to simulate the underlying physics (bioheat transfer and fluid flow) during MNPH treatment. The tumor tissue is infused with a dose of 5, 5.5, and 6 <span></span><math> <semantics> <mrow> <mi>mg</mi> <mo>/</mo> <msup> <mi>cm</mi> <mn>3</mn> </msup> </mrow> <annotation>$$ mathrm{mg}/{mathrm{cm}}^3 $$</annotation> </semantics></math>(tumor volume) of magnetic nanoparticles (MNPs) using a multi-point injection strategy. The range of magnetic field applied during MNPH simulations are 12, 13, and 14 <span></span><math> <semantics> <mrow> <mi>kA</mi> <mo>/</mo> <mi>m</mi> </mrow> <annotation>$$ mathrm{kA}/mathrm{m} $$</annotation> </semantics></math> at a field frequency of 330 <span></span><math> <semantics> <mrow> <mi>kHz</mi> </mrow> <annotation>$$ mathrm{kHz} $$</annotation> </semantics></math>. The Arrhenius thermal damage model is applied to evaluate the cell damage to the breast model. Two blood flow conditions, that is, with the flow and without the flow of blood through the artery, are applied to measure the effects of blood flow through the artery in the MNPH procedure. Additionally, tumor damage at different MNP doses and magnetic field conditions have also been observed under different arterial blood flow conditions. Results show that the arterial blood flow carries a significant amount of heat with it during MNPH. This minimizes the heat damage inflicted on tumor tissue during hyperthermia treatment. The presence of arterial blood flow in the partially submerged artery in the tumor site resulted in around a 25% reduction in thermal damage to the tumor tissue. However, the tumor damage can be enhanced by increasing the nanoparticle dose and magnetic field parameters. Enhancing the MNP dose and magnetic field parameters increases the thermal damage to the tumor tissue; however, this may also lead to more healthy tissue damage. The therapeutic benefits of MNPH are significantly impacted by the vasculature in and around
{"title":"Effect of Arterial Blood Flow on Magnetic Nanoparticle Thermotherapy Applied on a Realistic Breast Tumor Model","authors":"Sandeep Nain, Neeraj Kumar, Pramod Kumar Avti","doi":"10.1002/cnm.70039","DOIUrl":"https://doi.org/10.1002/cnm.70039","url":null,"abstract":"<div>\u0000 \u0000 <p>The current investigation aims to determine the effects of blood flow through the artery system engulfed in the tumor region, exposed to localized heating during magnetic nanoparticle hyperthermia (MNPH). The MNPH simulations are performed on a physical breast model constructed from MRI images of a female patient with a breast tumor. The DCE_MRI DICOM images of breast cancer from The Cancer Imaging Archive (TCIA) of a patient are utilized to build realistic breast models using 3D slicer software. The visible blood artery, tumor, and surrounding healthy tissue were then imported into the COMSOL Multiphysics software to simulate the underlying physics (bioheat transfer and fluid flow) during MNPH treatment. The tumor tissue is infused with a dose of 5, 5.5, and 6 <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>mg</mi>\u0000 <mo>/</mo>\u0000 <msup>\u0000 <mi>cm</mi>\u0000 <mn>3</mn>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$$ mathrm{mg}/{mathrm{cm}}^3 $$</annotation>\u0000 </semantics></math>(tumor volume) of magnetic nanoparticles (MNPs) using a multi-point injection strategy. The range of magnetic field applied during MNPH simulations are 12, 13, and 14 <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>kA</mi>\u0000 <mo>/</mo>\u0000 <mi>m</mi>\u0000 </mrow>\u0000 <annotation>$$ mathrm{kA}/mathrm{m} $$</annotation>\u0000 </semantics></math> at a field frequency of 330 <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>kHz</mi>\u0000 </mrow>\u0000 <annotation>$$ mathrm{kHz} $$</annotation>\u0000 </semantics></math>. The Arrhenius thermal damage model is applied to evaluate the cell damage to the breast model. Two blood flow conditions, that is, with the flow and without the flow of blood through the artery, are applied to measure the effects of blood flow through the artery in the MNPH procedure. Additionally, tumor damage at different MNP doses and magnetic field conditions have also been observed under different arterial blood flow conditions. Results show that the arterial blood flow carries a significant amount of heat with it during MNPH. This minimizes the heat damage inflicted on tumor tissue during hyperthermia treatment. The presence of arterial blood flow in the partially submerged artery in the tumor site resulted in around a 25% reduction in thermal damage to the tumor tissue. However, the tumor damage can be enhanced by increasing the nanoparticle dose and magnetic field parameters. Enhancing the MNP dose and magnetic field parameters increases the thermal damage to the tumor tissue; however, this may also lead to more healthy tissue damage. The therapeutic benefits of MNPH are significantly impacted by the vasculature in and around","PeriodicalId":50349,"journal":{"name":"International Journal for Numerical Methods in Biomedical Engineering","volume":"41 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Braided stents for cerebral aneurysms, including flow diverter stent (FDS), may exhibit incomplete stent expansion (IncompSE) during deployment, depending on factors related to the parent artery. Poor stent apposition due to IncompSE can increase the risk of complications or incomplete aneurysm occlusion. Since hemodynamics may play a critical role in these adverse events, we investigated hemodynamic parameters associated with IncompSE using computational fluid dynamics (CFD) analysis. Three basic geometries were generated to represent an aneurysm located on the siphon of the internal carotid artery. CFD analysis was conducted for each geometry under a total of 12 patterns, including before deployment, complete stent expansion (CompSE), and IncompSE on the distal and proximal sides. We focused on hemodynamic parameters reported to influence occlusion or complications after FDS deployment. The change rate (CR) of these parameters was calculated by comparing conditions before and after FDS deployment. In the cases of CompSE, volume flow (VF) into the aneurysm and maximum wall shear stress (WSS) on the aneurysmal wall decreased on average by 52.7% and 34.7%, respectively. Conversely, in the cases of IncompSE, higher VF, inflow jets, and vortices were observed within the aneurysm. Increased WSS at the aneurysmal neck and parent artery was also noted. While static pressure on the aneurysmal wall and energy loss through the aneurysm region showed minimal change in the case of CompSE, both parameters increased in cases of IncompSE. These findings suggest that IncompSE may result in hemodynamic conditions that are suboptimal for treatment. IncompSE of FDS can potentially induce unfavorable hemodynamic changes, including increased blood flow into the aneurysm and elevated pressure on the aneurysmal wall compared to pre-deployment conditions.
{"title":"Hemodynamics in Cerebral Aneurysms and Parent Arteries With Incompletely Expanded Flow Diverter Stents","authors":"Soichiro Fujimura, Kazuya Yuzawa, Katharina Otani, Kostadin Karagiozov, Hiroyuki Takao, Toshihiro Ishibashi, Koji Fukudome, Makoto Yamamoto, Yuichi Murayama","doi":"10.1002/cnm.70033","DOIUrl":"https://doi.org/10.1002/cnm.70033","url":null,"abstract":"<p>Braided stents for cerebral aneurysms, including flow diverter stent (FDS), may exhibit incomplete stent expansion (IncompSE) during deployment, depending on factors related to the parent artery. Poor stent apposition due to IncompSE can increase the risk of complications or incomplete aneurysm occlusion. Since hemodynamics may play a critical role in these adverse events, we investigated hemodynamic parameters associated with IncompSE using computational fluid dynamics (CFD) analysis. Three basic geometries were generated to represent an aneurysm located on the siphon of the internal carotid artery. CFD analysis was conducted for each geometry under a total of 12 patterns, including before deployment, complete stent expansion (CompSE), and IncompSE on the distal and proximal sides. We focused on hemodynamic parameters reported to influence occlusion or complications after FDS deployment. The change rate (CR) of these parameters was calculated by comparing conditions before and after FDS deployment. In the cases of CompSE, volume flow (VF) into the aneurysm and maximum wall shear stress (WSS) on the aneurysmal wall decreased on average by 52.7% and 34.7%, respectively. Conversely, in the cases of IncompSE, higher VF, inflow jets, and vortices were observed within the aneurysm. Increased WSS at the aneurysmal neck and parent artery was also noted. While static pressure on the aneurysmal wall and energy loss through the aneurysm region showed minimal change in the case of CompSE, both parameters increased in cases of IncompSE. These findings suggest that IncompSE may result in hemodynamic conditions that are suboptimal for treatment. IncompSE of FDS can potentially induce unfavorable hemodynamic changes, including increased blood flow into the aneurysm and elevated pressure on the aneurysmal wall compared to pre-deployment conditions.</p>","PeriodicalId":50349,"journal":{"name":"International Journal for Numerical Methods in Biomedical Engineering","volume":"41 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cnm.70033","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143741488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}