Pub Date : 2025-09-01DOI: 10.1007/s10237-025-02000-2
Willy V. Bonneuil, Daniel J. Watson, Sarajo K. Mohanta, Andreas J. R. Habenicht, James E. Moore Jr, Jennifer Frattolin
The adventitia of blood vessels is their structural interface with surrounding tissues and may also contribute importantly to atherogenesis. Adventitial vasa vasorum and lymphatic vessels provide sources and sinks of interstitial fluid and solutes and remodel in disease. We constructed a mathematical model to investigate how soluble disease mediators, including lipoproteins and cytokines, are transported through the artery wall in healthy and atherosclerotic conditions. We derived model parameters from in vivo measurements where possible and extensively investigated the sensitivity of fluid flow and solute transport to them. Adventitial interstitial fluid pressure is predicted to increase in atherosclerosis because of a shift in transmural fluxes across vasa vasorum and lymphatics. In healthy conditions, 40–80% of the fluid gathered by lymphatics originates from vasa vasorum, and this increases to 60–90% in atherosclerosis. The increased dilution of fluid flowing from the inner layers in atherosclerosis implies that solute transport from the media to the adventitia is impaired. This implies increased concentration gradients near the external elastic lamina that may increase immune-cell retention there, and decreased gradients in the outer adventitia that may reduce immune-cell attraction from there.
{"title":"Atherosclerosis increases adventitial pressure and limits solute transport via fluid-balance mechanisms","authors":"Willy V. Bonneuil, Daniel J. Watson, Sarajo K. Mohanta, Andreas J. R. Habenicht, James E. Moore Jr, Jennifer Frattolin","doi":"10.1007/s10237-025-02000-2","DOIUrl":"10.1007/s10237-025-02000-2","url":null,"abstract":"<div><p>The adventitia of blood vessels is their structural interface with surrounding tissues and may also contribute importantly to atherogenesis. Adventitial vasa vasorum and lymphatic vessels provide sources and sinks of interstitial fluid and solutes and remodel in disease. We constructed a mathematical model to investigate how soluble disease mediators, including lipoproteins and cytokines, are transported through the artery wall in healthy and atherosclerotic conditions. We derived model parameters from <i>in vivo</i> measurements where possible and extensively investigated the sensitivity of fluid flow and solute transport to them. Adventitial interstitial fluid pressure is predicted to increase in atherosclerosis because of a shift in transmural fluxes across vasa vasorum and lymphatics. In healthy conditions, 40–80% of the fluid gathered by lymphatics originates from vasa vasorum, and this increases to 60–90% in atherosclerosis. The increased dilution of fluid flowing from the inner layers in atherosclerosis implies that solute transport from the media to the adventitia is impaired. This implies increased concentration gradients near the external elastic lamina that may increase immune-cell retention there, and decreased gradients in the outer adventitia that may reduce immune-cell attraction from there.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"24 5","pages":"1875 - 1893"},"PeriodicalIF":2.7,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10237-025-02000-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144938122","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}
Pub Date : 2025-08-27DOI: 10.1007/s10237-025-02005-x
Denisa Martonová, Sigrid Leyendecker, Gerhard A. Holzapfel, Ellen Kuhl
Computational modeling has become an integral tool for understanding the interaction between structural organization and functional behavior in a wide range of biological tissues, including the human myocardium. Traditional constitutive models, and recent models generated by automated model discovery, are often based on the simplifying assumption of perfectly aligned fiber families. However, experimental evidence suggests that many fiber-reinforced tissues exhibit local dispersion, which can significantly influence their mechanical behavior. Here, we integrate the generalized structure tensor approach into automated material model discovery to represent fibers that are distributed with rotational symmetry around three mean orthogonal directions—fiber, sheet, and normal—by using probabilistic descriptions of the orientation. Using biaxial extension and triaxial shear data from human myocardium, we systematically vary the degree of directional dispersion and stress measurement noise to explore the robustness of the discovered models. Our findings reveal that up to a moderate dispersion in the fiber direction and arbitrary dispersion in the sheet and normal directions improve the goodness of fit and enable recovery of a previously proposed four-term model in terms of the isotropic second invariant, two dispersed anisotropic invariants, and one coupling invariant. Our approach demonstrates strong robustness and consistently identifies similar model terms, even in the presence of up to 7% random noise in the stress data. In summary, our study suggests that automated model discovery based on the powerful generalized structure tensors is robust to noise and captures microstructural uncertainty and heterogeneity in a physiologically meaningful way.
{"title":"Discovering dispersion: How robust is automated model discovery for human myocardial tissue?","authors":"Denisa Martonová, Sigrid Leyendecker, Gerhard A. Holzapfel, Ellen Kuhl","doi":"10.1007/s10237-025-02005-x","DOIUrl":"10.1007/s10237-025-02005-x","url":null,"abstract":"<div><p>Computational modeling has become an integral tool for understanding the interaction between structural organization and functional behavior in a wide range of biological tissues, including the human myocardium. Traditional constitutive models, and recent models generated by automated model discovery, are often based on the simplifying assumption of perfectly aligned fiber families. However, experimental evidence suggests that many fiber-reinforced tissues exhibit local dispersion, which can significantly influence their mechanical behavior. Here, we integrate the generalized structure tensor approach into automated material model discovery to represent fibers that are distributed with rotational symmetry around three mean orthogonal directions—fiber, sheet, and normal—by using probabilistic descriptions of the orientation. Using biaxial extension and triaxial shear data from human myocardium, we systematically vary the degree of directional dispersion and stress measurement noise to explore the robustness of the discovered models. Our findings reveal that up to a moderate dispersion in the fiber direction and arbitrary dispersion in the sheet and normal directions improve the goodness of fit and enable recovery of a previously proposed four-term model in terms of the isotropic second invariant, two dispersed anisotropic invariants, and one coupling invariant. Our approach demonstrates strong robustness and consistently identifies similar model terms, even in the presence of up to 7% random noise in the stress data. In summary, our study suggests that automated model discovery based on the powerful generalized structure tensors is robust to noise and captures microstructural uncertainty and heterogeneity in a physiologically meaningful way.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"24 6","pages":"2023 - 2037"},"PeriodicalIF":2.7,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10237-025-02005-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144938094","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}
The frequent detection of wall enhancement by vessel wall imaging in unstable or ruptured intracranial aneurysms (IAs) implies the potential involvement of blood substance transport in the pathogenesis of IAs. In this study, we developed a new method for simulating the transport of low-density lipoprotein (LDL) in IAs. The method was characterized by the coupled solution of LDL transport behaviors in lumen, across endothelium, and within vessel wall, and the incorporation of a sub-model that accounts for the combined effect of wall shear stress (WSS) magnitude and oscillatory shear index (OSI) on endothelial permeability to LDL. Numerical simulations were conducted on the IAs of four patients with clinically confirmed wall enhancement status. Obtained results demonstrated the propensity of IAs for enhanced LDL deposition on the lumen surface and LDL accumulation within the wall compared to normal cerebral arteries. Notably, the spatial distributions of high LDL concentration on the lumen surface and within the vessel wall were not always consistent, indicating regional variations in biomechanical factors facilitating intraluminal retention and transmural transport of LDL. Furthermore, the IAs with wall enhancement exhibited remarkably larger area ratios of wall regions exposed to high LDL concentration than those without wall enhancement. Relatively, the area ratios of low WSS and high OSI were less predictive of aneurysm wall enhancement. These findings underscore the potential value of investigating mass transport over general hemodynamic behaviors in classifying the pathological state or assessing the risk of IAs.
{"title":"Numerical study on low-density lipoprotein transport in intracranial aneurysms and its association with wall enhancement","authors":"Yuqing Tian, Jianjian Zhang, Huilin Zhao, Xiao Li, Fuyou Liang","doi":"10.1007/s10237-025-02004-y","DOIUrl":"10.1007/s10237-025-02004-y","url":null,"abstract":"<div><p>The frequent detection of wall enhancement by vessel wall imaging in unstable or ruptured intracranial aneurysms (IAs) implies the potential involvement of blood substance transport in the pathogenesis of IAs. In this study, we developed a new method for simulating the transport of low-density lipoprotein (LDL) in IAs. The method was characterized by the coupled solution of LDL transport behaviors in lumen, across endothelium, and within vessel wall, and the incorporation of a sub-model that accounts for the combined effect of wall shear stress (WSS) magnitude and oscillatory shear index (OSI) on endothelial permeability to LDL. Numerical simulations were conducted on the IAs of four patients with clinically confirmed wall enhancement status. Obtained results demonstrated the propensity of IAs for enhanced LDL deposition on the lumen surface and LDL accumulation within the wall compared to normal cerebral arteries. Notably, the spatial distributions of high LDL concentration on the lumen surface and within the vessel wall were not always consistent, indicating regional variations in biomechanical factors facilitating intraluminal retention and transmural transport of LDL. Furthermore, the IAs with wall enhancement exhibited remarkably larger area ratios of wall regions exposed to high LDL concentration than those without wall enhancement. Relatively, the area ratios of low WSS and high OSI were less predictive of aneurysm wall enhancement. These findings underscore the potential value of investigating mass transport over general hemodynamic behaviors in classifying the pathological state or assessing the risk of IAs.</p></div>","PeriodicalId":489,"journal":{"name":"Biomechanics and Modeling in Mechanobiology","volume":"24 6","pages":"2003 - 2022"},"PeriodicalIF":2.7,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144938165","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}
Pub Date : 2025-08-24DOI: 10.1007/s10237-025-02002-0
Renate Janssen, Anna Gustafsson, Viktor Jönsson, Lorenzo Grassi, Maria Pierantoni, Hanna Isaksson
Tendons are known to adapt their structural and mechanical properties in response to mechanical loading, but the precise mechanisms underlying this adaptation remain poorly understood. A previous study on rat Achilles tendons compared the effect of unloading (Botox injections and orthosis) with free cage activity (full loading) and revealed that unloading impaired the mechanical response and resulted in more dispersed collagen fibre orientations. The current study investigates tendon mechanobiology by integrating this experimental fibre data into a finite element model. The aim is to evaluate whether the altered mechanical response after unloading results from changes in collagen fibre orientation, tendon geometry, or material properties. Collagen fibre orientation analysis was performed based on phase-contrast enhanced synchrotron X-ray tomography images. Two levels of collagen fibre orientation detail were implemented into the finite element model: 1) global fibre orientation analysis that averaged fibre directions across the entire tendon and 2) local orientation analysis that introduced spatial heterogeneity by incorporating element-specific fibre distributions. Our results indicate that the impaired mechanical response in unloaded tendons is mainly due to changes in fibre orientation distribution and geometry. The local collagen orientation analysis showed a lower overall force response, but did not alter the relative differences between fully loaded and unloaded tendons. Incorporating the increased heterogeneity may still be important for future studies of tendon mechanobiology. The established framework provides a robust tool for exploring tendon biomechanics, capturing detailed fibre information, and offering valuable insights into tendon adaptation under various conditions.