Biomechanics and Modeling in Mechanobiology最新文献

Experimental-numerical characterization of the time-dependent behavior of the porcine retina 猪视网膜时间依赖性行为的实验-数值表征

IF 3 3区医学

Biomechanics and Modeling in Mechanobiology Pub Date : 2026-11-06 DOI: 10.1007/s10237-026-02141-y

Damiano Bertolo, Francesca Berti, Anna Pandolfi, Federica Boschetti

{"title":"Experimental-numerical characterization of the time-dependent behavior of the porcine retina","authors":"Damiano Bertolo, Francesca Berti, Anna Pandolfi, Federica Boschetti","doi":"10.1007/s10237-026-02141-y","DOIUrl":"10.1007/s10237-026-02141-y","url":null,"abstract":"<div><p>Subretinal injection procedures for inherited retinal diseases rely on both the instantaneous and long-term mechanical response of the retina, yet a predictive and experimentally validated constitutive framework is still lacking due to experimental and modeling challenges. In this study, we establish a combined experimental–computational approach to characterize and model the viscous-elastic behavior of porcine retina under biaxial loading conditions representative of surgery. Disc-shaped porcine retinal specimens are tested using a small punch, and two complementary protocols (i. e., a multi-ramp stress relaxation and a strain-rate-dependent cyclic loading) are employed. The experiments reveal a pronounced time-dependent behavior that cannot be described by a purely elastic response. To capture this experimental observation, we adopted an inverse finite element approach to identify constitutive parameters of a chosen visco-hyperelastic model, enabling a consistent identification of time-dependent material parameters under biaxial loading conditions. The retina is described as a Neo-Hookean solid augmented with a Prony-series-based viscous-elastic formulation with an elastic and two Maxwell branches. The calibrated model reproduces the full set of experimental responses, including stress relaxation and strain-rate sensitivity. The proposed framework provides a predictive constitutive description of retinal tissue, enabling physiologically relevant simulations of subretinal injection and supporting mechanically informed preoperative planning and device design, and providing a framework for modeling time-dependent behavior of soft hydrated tissues under complex loading conditions.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"25 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149338597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Impact of coiling on cochlear mechanical response: a finite element modeling study 卷绕对耳蜗力学响应的影响：一个有限元模型研究。

IF 3 3区医学

Biomechanics and Modeling in Mechanobiology Pub Date : 2026-11-03 DOI: 10.1007/s10237-026-02145-8

Nastaran Shakourifar, Seyed A. Rohani, Nahid Rahmati, Abbas Samani, Sumit K. Agrawal, Hanif M. Ladak

{"title":"Impact of coiling on cochlear mechanical response: a finite element modeling study","authors":"Nastaran Shakourifar, Seyed A. Rohani, Nahid Rahmati, Abbas Samani, Sumit K. Agrawal, Hanif M. Ladak","doi":"10.1007/s10237-026-02145-8","DOIUrl":"10.1007/s10237-026-02145-8","url":null,"abstract":"<div><p>Finite element (FE) modeling can provide valuable insight into the passive mechanical behavior of the human cochlea. Cochlear geometry is commonly simplified as a straight tube in FE models, which may ignore important mechanical and anatomical information. Here, three-dimensional FE models of both coiled and uncoiled cochlear geometries were developed to evaluate the influence of cochlear coiling on basilar membrane (BM) mechanics. Acoustic stimulation was simulated at the oval window (OW) and BM displacement was captured across the human hearing frequency range. Optimization results revealed that reproducing the tonotopic response required distinctive effective Young’s modulus distributions for the two geometries: 45–2 MPa, from base to apex, for the uncoiled model; and 67–3 MPa, from base to apex, for the coiled model. Additionally, differences in the magnitude of vibration were observed in the low-frequency range, indicating altered mechanical behavior between models. Findings demonstrated that coiling influences acoustic–structure interaction and mechanical loading along the BM. Therefore, coiling is not a negligible geometric feature and should be incorporated into cochlear models to improve biomechanical understanding and predictive accuracy.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"25 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149316935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical simulation of aortic hemodynamic effects modulated by the intra-aortic rotary blood pump with different speed modes 不同速度模式下主动脉内旋转血泵调节主动脉血流动力学效应的数值模拟。

IF 3 3区医学

Biomechanics and Modeling in Mechanobiology Pub Date : 2026-10-28 DOI: 10.1007/s10237-026-02143-w

Shuaizhi Zhou, Guruprasad A. Giridharan, Rui Chen, Ahmed El-Baz, Shaun D. Gregory, Peng Qu, Yang Song, Xiaolin Mu, Yu Wang

{"title":"Numerical simulation of aortic hemodynamic effects modulated by the intra-aortic rotary blood pump with different speed modes","authors":"Shuaizhi Zhou, Guruprasad A. Giridharan, Rui Chen, Ahmed El-Baz, Shaun D. Gregory, Peng Qu, Yang Song, Xiaolin Mu, Yu Wang","doi":"10.1007/s10237-026-02143-w","DOIUrl":"10.1007/s10237-026-02143-w","url":null,"abstract":"<div><p>Intra-aortic rotary blood pump (IARBP) can improve cardiac and renal function for cardiorenal syndrome (CRS) patients. However, the mechanism of hemodynamic changes in the aorta caused by IARBP is not fully understood. Therefore, this study quantitatively analyzed the aortic hemodynamic effects with IARBP support to evaluate its potential clinical benefits and risks. A three-dimensional aortic model was established from patient-specific image data and coupled with an IARBP. Hemodynamic characteristics and potential blood damage in the aorta under different IARBP speed modes, including flow field, blood flow velocity, pressure, wall shear stress-related indices, scalar shear stress (SSS), and hemolysis index (HI), were systematically evaluated using computational fluid dynamics (CFD). Results showed that constant-speed IARBP support increased downstream aortic flow velocity and pressure by 30.79% and 5.28%, respectively. The pump-outlet jet impinged on the aortic wall, creating localized regions with wall shear stress (WSS) exceeding 40 Pa and potentially increasing the risk of vascular endothelial injury. Compared with the constant speed mode, pulsatile speed modes further reduced low WSS areas to lower atherosclerosis risk, especially that counterpulsation mode increased renal blood flow by 19.33% and reduced HI by 14.4%, but was less favorable for cerebral and upper-limb perfusion. Copulsation mode performed better in this regard. Overall, this study verified the potential clinical benefits and risks of IARBP especially at pulsatile speeds in optimizing downstream and upstream perfusion and reducing vascular adverse events, which could provide support and guidance for optimizing IARBP speed and its clinical treatment strategy.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"25 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149293776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A deep neural network-enhanced multi-scale coupled model of patient-specific acoustic wave propagation for mechanotransduction stimulation of healthy and osteoarthritic knee articular cartilage 一个深度神经网络增强的患者特异性声波传播的多尺度耦合模型，用于健康和骨关节炎膝关节软骨的机械传导刺激

IF 3 3区医学

Biomechanics and Modeling in Mechanobiology Pub Date : 2026-10-17 DOI: 10.1007/s10237-026-02138-7

Nuno A. T. C. Fernandes, Betina Hinckel, Ana leal, Óscar Carvalho

{"title":"A deep neural network-enhanced multi-scale coupled model of patient-specific acoustic wave propagation for mechanotransduction stimulation of healthy and osteoarthritic knee articular cartilage","authors":"Nuno A. T. C. Fernandes, Betina Hinckel, Ana leal, Óscar Carvalho","doi":"10.1007/s10237-026-02138-7","DOIUrl":"10.1007/s10237-026-02138-7","url":null,"abstract":"<div><p>This study presents a multi-scale computational framework to quantify how externally applied acoustic waves propagate through the knee joint and induce mechanotransductive strain at the level of the chondrocyte nucleus. Patient-specific knee geometries (<i>n</i> = 8) were used to simulate acoustic wave transmission through layered tissues, while a representative volume element modelled the coupled solid–shell–acoustic behaviour of the chondrocyte, pericellular matrix, and extracellular matrix. Modal and frequency–response analyses identified the spheroidal <i>s</i><sub>3</sub> mode as the dominant contributor to nuclear deformation. Strain amplification was found to occur within defined frequency bands rather than at a single frequency, with healthy patients exhibiting a broader mid-frequency amplification region (50–170 kHz) and diseased patients showing a shifted low-frequency (30–85 kHz) dominance due to hypertrophy and altered stiffness. Macro-to-micro coupling demonstrated that, despite anatomical variability, consistent transmissibility trends were preserved across patients, with ideal frequencies for healthy and OA patients. Time-explicit simulations comparing linear and nonlinear acoustic formulations revealed negligible harmonic generation at the applied pressure levels, indicating that linear acoustics adequately describe propagation within the mechanotransductive strain range considered. Overall, the results demonstrate that cartilage stimulation is frequency-band dependent and disease-sensitive, and they provide a mechanistically grounded basis for optimizing ultrasound excitation parameters based on cellular-scale mechanics rather than empirical frequency selection.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"25 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10237-026-02138-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Computational multiscale analysis of growth and remodeling in the ascending aorta of the Marfan mouse 马凡氏小鼠升主动脉生长与重构的计算多尺度分析。

IF 3 3区医学

Biomechanics and Modeling in Mechanobiology Pub Date : 2026-10-07 DOI: 10.1007/s10237-026-02134-x

Ruturaj M. Badal, Intekhab Alam, Lily R. Watkins, Krashn K. Dwivedi, Jessica E. Wagenseil, Victor H. Barocas

{"title":"Computational multiscale analysis of growth and remodeling in the ascending aorta of the Marfan mouse","authors":"Ruturaj M. Badal, Intekhab Alam, Lily R. Watkins, Krashn K. Dwivedi, Jessica E. Wagenseil, Victor H. Barocas","doi":"10.1007/s10237-026-02134-x","DOIUrl":"10.1007/s10237-026-02134-x","url":null,"abstract":"<div><p>Marfan syndrome, caused primarily by mutations in the fibrillin-1 (<i>FBN1</i>) gene, is associated with progressive dilation of the proximal aorta, with dissection and rupture representing the leading causes of early mortality. A characteristic feature of Marfan-associated aneurysm is fragmentation of elastic fibers; however, the extent to which elastin loss alone can account for the observed geometric and mechanical changes remains unclear. In this study, we use a multiscale computational growth and remodeling framework to determine which geometric and mechanical features of the Marfan aorta can be reproduced by prescribed elastin loss acting through mechanically regulated fiber remodeling and tissue growth. The model couples a discrete fiber network representation of collagen, elastin, and actomyosin with a continuum description of the tissue. It is first calibrated to reproduce experimental measurements in the healthy mouse aorta, and Marfan conditions are then introduced by prescribing graded reductions in elastin content (10–80%). The model reproduces key features of the Marfan aorta, including increased wall thickness and radius, reduced axial stress and stretch, and shifts in pressure-dependent stiffness. Quantitative comparison across multiple metrics shows strong agreement between simulations and experiments, with the lowest error occurring at 29% elastin loss. Within the scope of the model, prescribed elastin loss led to many key structural and mechanical features observed in Marfan aortas, demonstrating the predictive potential of the framework for exploring the mechanical consequences of elastin fragmentation.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"25 5","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10237-026-02134-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149126300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A 3D-shell model of left atrial electromechanics 左心房电力学三维壳模型。

IF 3 3区医学

Biomechanics and Modeling in Mechanobiology Pub Date : 2026-09-30 DOI: 10.1007/s10237-026-02117-y

Oscar Ruz, Carlos Brito-Pacheco, Marina Vidrascu, Dominique Chapelle, Miguel A. Fernández

引用次数: 0

An analysis of different reconstruction techniques for the radius: a finite element analysis 不同半径重建技术的分析：有限元分析。

IF 3 3区医学

Biomechanics and Modeling in Mechanobiology Pub Date : 2026-09-28 DOI: 10.1007/s10237-026-02116-z

U. Konopada, V. Egger, L. Dankl, M. Nogler, R. Arora, E. Zanetti, C. Bignardi, D. Putzer

{"title":"An analysis of different reconstruction techniques for the radius: a finite element analysis","authors":"U. Konopada, V. Egger, L. Dankl, M. Nogler, R. Arora, E. Zanetti, C. Bignardi, D. Putzer","doi":"10.1007/s10237-026-02116-z","DOIUrl":"10.1007/s10237-026-02116-z","url":null,"abstract":"<div><p>Pathological fractures due to metastatic bone disease frequently require palliative stabilization. While polymethylmethacrylate (PMMA) provides immediate mechanical stabilization, its limited bending and multiaxial properties raise concerns. Reinforcement strategies such as plate fixation, intramedullary nails, and metallic augmentation have been proposed, yet their mechanical behavior under physiological loading remains insufficiently characterized. This study aims to evaluate the mechanical performance of three reconstruction strategies for a proximal radial defect: PMMA alone, PMMA combined with titanium plate-and-screw construct, and PMMA reinforced with a steel K-wire. A patient-specific workflow integrated musculoskeletal multibody model and finite element analysis. Muscle forces and elbow joint reaction forces were calculated for a static 90° shoulder flexion under two loading conditions: no external load and 2 kg mass applied at the center of mass of the hand. These forces were applied in finite element analysis in reconstructed forearm, and peak von Mises stress and displacements were evaluated. In loading scenario, elbow joint reaction force reached 314.4 N, and maximum muscle force was 120.8 N. In the PMMA-only construct, peak stress increased from 4.0 MPa (no load) to 12.0 MPa (with load). Plate fixation increased peak stress to 14.9 MPa in the loading case. K-wire reinforcement resulted in lowest PMMA peak stress (23% less with respect to PMMA-only and 38% less compared to titanium plate) but produced more pronounced displacement (29%) compared to plate fixation strategy. These findings suggest complementary mechanical benefits: K-wire reinforcement most effectively reduced peak cement stress, whereas plate fixation provided superior global stiffness.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"25 5","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13619793/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149073102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Validation of an ovine lung parenchyma material model with pressures representing the breathing cycle for high-velocity impacts 用压力代表高速撞击呼吸循环的绵羊肺实质物质模型的验证。

IF 3 3区医学

Biomechanics and Modeling in Mechanobiology Pub Date : 2026-09-27 DOI: 10.1007/s10237-026-02124-z

Patricia K. Thomas, Eugene Ablordeppey, Grace K. Liverett, Philip J. Brown, F. Scott Gayzik

{"title":"Validation of an ovine lung parenchyma material model with pressures representing the breathing cycle for high-velocity impacts","authors":"Patricia K. Thomas, Eugene Ablordeppey, Grace K. Liverett, Philip J. Brown, F. Scott Gayzik","doi":"10.1007/s10237-026-02124-z","DOIUrl":"10.1007/s10237-026-02124-z","url":null,"abstract":"<div><p>Lung injury risk from high-velocity blunt impacts is thought to depend on lung pressure. Risk is typically assessed with finite element models (FEMs), but models do not typically account for lung pressure, nor do they account for lung viscoelasticity. The objective of this study is to translate and then validate a set of lung material models that consider both tissue viscoelasticity and pressure in silico<i>.</i> This was completed using one set of quasi-static simulations for translation and one set of dynamic simulations for validation to compare to experimental forces, where CORA was utilized. Digital image correlation (DIC) data of strain and displacement magnitude from the quasi-static experiments were also used to ensure proper material model translation. Three simulations were run for each loading case, where the only difference was the lung material properties to account for pressure (0, 4, and 10 cmH<sub>2</sub>O). The force–time responses for both simulations showed good agreement with experimental data with a range of 0.77–0.93 CORA scores for the dynamic loading, and a range of 0.84–0.97 CORA scores for the quasi-static simulations, with all simulations falling under “good” or “excellent” categories. The DIC-equivalent data for the quasi-static simulations were determined to be dependent on mesh size. Overall, the quasi-static simulations showed the material was translated into LS-Dyna well, and each of the lung material models were able to reproduce the global force–time responses well in the dynamic simulation set.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"25 5","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13616860/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149069040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Targeted cell deposition for lung re-endothelialization 靶向细胞沉积肺再内皮化。

IF 3 3区医学

Biomechanics and Modeling in Mechanobiology Pub Date : 2026-09-27 DOI: 10.1007/s10237-026-02129-8

Jason K. D. Chan, Eric A. Chadwick, Daisuke Taniguchi, Mohammadali Ahmadipour, Takaya Suzuki, David Romero, Cristina Amon, Thomas K. Waddell, Golnaz Karoubi, Aimy Bazylak

{"title":"Targeted cell deposition for lung re-endothelialization","authors":"Jason K. D. Chan, Eric A. Chadwick, Daisuke Taniguchi, Mohammadali Ahmadipour, Takaya Suzuki, David Romero, Cristina Amon, Thomas K. Waddell, Golnaz Karoubi, Aimy Bazylak","doi":"10.1007/s10237-026-02129-8","DOIUrl":"10.1007/s10237-026-02129-8","url":null,"abstract":"<div><p>We created computational fluid dynamic models of murine lung vasculature to assess the quantity and quality of cell deposition for lung re-endothelialization under three cell seeding protocols. These protocols include the standard direct injection seeding, negative pressure seeding, and a novel dual boundary condition seeding protocol. Our results indicate that cell seeding efficiencies are similar between the direct injection and negative pressure seeding protocols. The dual boundary condition protocol, which utilizes the direct injection of cell media with the addition of a prescribed pressure boundary condition at the parenchyma, exhibited increased cell deposition efficiencies of up to 14% compared to the direct injection and negative pressure cases, as well as the ability to target cell deposition in specific (i.e., proximal and distal) regions of the lung vasculature. This novel dual boundary condition protocol has the potential to increase cell seeding efficiencies during scaffold recellularization, addressing a significant challenge in the field of lung bioengineering.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"25 5","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13616841/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149069080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A VFM approach for identifying material parameters and data-driven constitutive models for biphasic hyperelasticity of soft biological tissues 软质生物组织双相超弹性材料参数识别和数据驱动本构模型的VFM方法。

IF 3 3区医学

Biomechanics and Modeling in Mechanobiology Pub Date : 2026-09-26 DOI: 10.1007/s10237-026-02133-y

Ruike Shi, Stéphane Avril, Víctor A. Acosta Santamaría, Haitian Yang, Yiqian He

{"title":"A VFM approach for identifying material parameters and data-driven constitutive models for biphasic hyperelasticity of soft biological tissues","authors":"Ruike Shi, Stéphane Avril, Víctor A. Acosta Santamaría, Haitian Yang, Yiqian He","doi":"10.1007/s10237-026-02133-y","DOIUrl":"10.1007/s10237-026-02133-y","url":null,"abstract":"<div><p>In a soft biological tissue with a fibrous network and interstitial fluid, osmotic pressure arises primarily from Donnan ion effects and macromolecular confinement, typically ranging from kPa to hundreds of kPa, and is mechanically balanced by stresses in the solid matrix. This study introduces a new data-driven framework based on the Virtual Fields Method (VFM) for identifying full-field material parameters and discovering constitutive models of osmotic pressure in biphasic hyperelasticity. In this framework, a two‐step VFM strategy is proposed: (1) the virtual fields with zero-trace strains are applied to eliminate the osmotic pressure contribution and identify the parameters of the solid component, and (2) when the law for osmotic pressure is known <i>a priori</i>, the material parameters of the fluid component are further identified. When the law for osmotic pressure is unknown <i>a priori</i>, the osmotic pressure is identified as an independent field variable and the constitutive law for osmotic pressure is established using a machine learning method. The effectiveness of the proposed model is verified through examples including identifications with experimentally measured data.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"25 5","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149056665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0