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Mahmoudabadbozchelou M, Kamani KM, Rogers SA, Jamali S. Unbiased construction of constitutive relations for soft materials from experiments via rheology-informed neural networks. Proc Natl Acad Sci U S A 2024; 121:e2313658121. [PMID: 38170750 PMCID: PMC10786310 DOI: 10.1073/pnas.2313658121] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/08/2023] [Accepted: 12/03/2023] [Indexed: 01/05/2024] Open
Abstract
The ability to concisely describe the dynamical behavior of soft materials through closed-form constitutive relations holds the key to accelerated and informed design of materials and processes. The conventional approach is to construct constitutive relations through simplifying assumptions and approximating the time- and rate-dependent stress response of a complex fluid to an imposed deformation. While traditional frameworks have been foundational to our current understanding of soft materials, they often face a twofold existential limitation: i) Constructed on ideal and generalized assumptions, precise recovery of material-specific details is usually serendipitous, if possible, and ii) inherent biases that are involved by making those assumptions commonly come at the cost of new physical insight. This work introduces an approach by leveraging recent advances in scientific machine learning methodologies to discover the governing constitutive equation from experimental data for complex fluids. Our rheology-informed neural network framework is found capable of learning the hidden rheology of a complex fluid through a limited number of experiments. This is followed by construction of an unbiased material-specific constitutive relation that accurately describes a wide range of bulk dynamical behavior of the material. While extremely efficient in closed-form model discovery for a real-world complex system, the model also provides insight into the underpinning physics of the material.
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Affiliation(s)
| | - Krutarth M. Kamani
- Department of Chemical and Biomolecular Engineering, University of Illinois Urbana-Champaign, Champaign, IL61801
| | - Simon A. Rogers
- Department of Chemical and Biomolecular Engineering, University of Illinois Urbana-Champaign, Champaign, IL61801
| | - Safa Jamali
- Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA02115
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Han K, Ma S, Sun J, Xu M, Qi X, Wang S, Li L, Li X. In silico modeling of patient-specific blood rheology in type 2 diabetes mellitus. Biophys J 2023; 122:1445-1458. [PMID: 36905122 PMCID: PMC10147843 DOI: 10.1016/j.bpj.2023.03.010] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/27/2022] [Revised: 11/16/2022] [Accepted: 03/06/2023] [Indexed: 03/11/2023] Open
Abstract
Increased blood viscosity in type 2 diabetes mellitus (T2DM) is a risk factor for the development of insulin resistance and diabetes-related vascular complications; however, individuals with T2DM exhibit heterogeneous hemorheological properties, including cell deformation and aggregation. Using a multiscale red blood cell (RBC) model with key parameters derived from patient-specific data, we present a computational study of the rheological properties of blood from individual patients with T2DM. Specifically, one key model parameter, which determines the shear stiffness of the RBC membrane (μ) is informed by the high-shear-rate blood viscosity of patients with T2DM. At the same time, the other, which contributes to the strength of the RBC aggregation interaction (D0), is derived from the low-shear-rate blood viscosity of patients with T2DM. The T2DM RBC suspensions are simulated at different shear rates, and the predicted blood viscosity is compared with clinical laboratory-measured data. The results show that the blood viscosity obtained from clinical laboratories and computational simulations are in agreement at both low and high shear rates. These quantitative simulation results demonstrate that the patient-specific model has truly learned the rheological behavior of T2DM blood by unifying the mechanical and aggregation factors of the RBCs, which provides an effective way to extract quantitative predictions of the rheological properties of the blood of individual patients with T2DM.
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Affiliation(s)
- Keqin Han
- State Key Laboratory of Fluid Power and Mechatronic Systems, Department of Engineering Mechanics, and Center for X-Mechanics, Zhejiang University, Hangzhou, China
| | - Shuhao Ma
- State Key Laboratory of Fluid Power and Mechatronic Systems, Department of Engineering Mechanics, and Center for X-Mechanics, Zhejiang University, Hangzhou, China
| | - Jiehui Sun
- Department of Endocrinology and Metabolism, Ningbo First Hospital, Ningbo, China
| | - Miao Xu
- Department of Endocrinology and Metabolism, Ningbo First Hospital, Ningbo, China
| | - Xiaojing Qi
- State Key Laboratory of Fluid Power and Mechatronic Systems, Department of Engineering Mechanics, and Center for X-Mechanics, Zhejiang University, Hangzhou, China
| | - Shuo Wang
- State Key Laboratory of Fluid Power and Mechatronic Systems, Department of Engineering Mechanics, and Center for X-Mechanics, Zhejiang University, Hangzhou, China
| | - Li Li
- Department of Endocrinology and Metabolism, Ningbo First Hospital, Ningbo, China.
| | - Xuejin Li
- State Key Laboratory of Fluid Power and Mechatronic Systems, Department of Engineering Mechanics, and Center for X-Mechanics, Zhejiang University, Hangzhou, China; The Second Affiliated Hospital of Zhejiang University School of Medicine, Hangzhou, China.
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Circulating cell clusters aggravate the hemorheological abnormalities in COVID-19. Biophys J 2022; 121:3309-3319. [PMID: 36028998 PMCID: PMC9420024 DOI: 10.1016/j.bpj.2022.08.031] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/07/2022] [Revised: 07/14/2022] [Accepted: 08/22/2022] [Indexed: 11/02/2022] Open
Abstract
Microthrombi and circulating cell clusters (CCCs) are common microscopic findings in patients with COVID-19 at different stages in the disease course, implying that they may function as the primary drivers in disease progression. Inspired by a recent flow imaging cytometry study of the blood samples from patients with COVID-19, we perform computational simulations to investigate the dynamics of different types of CCCs, namely white blood cell (WBC) clusters, platelet clusters and red blood cell (RBC) clusters, over a range of shear flows and quantify their impact on the viscosity of the blood. Our simulation results indicate that the increased level of fibrinogen in patients with COVID-19 can promote the formation of RBC clusters at relatively low shear rates, thereby elevating the blood viscosity, a mechanism that also leads to an increase in viscosity in other blood diseases, such as sickle cell disease and type 2 diabetes mellitus. We further discover that the presence of WBC clusters could also aggravate the abnormalities of local blood rheology. In particular, the extent of elevation of the local blood viscosity is enlarged as the size of the WBC clusters grows. On the other hand, the impact of platelet clusters on the local rheology is found to be negligible, which is likely due to the smaller size of the platelets. The difference in the impact of WBC and platelet clusters on local hemorheology provides a compelling explanation for the clinical finding that the number of WBC clusters is significantly correlated with thrombotic events in COVID-19 whereas platelet clusters do not. Overall, our study demonstrates that our computational models based on dissipative particle dynamics can serve as a powerful tool to conduct quantitative investigation of the mechanism causing the pathological alterations of hemorheology and explore their connections to the clinical manifestations in COVID-19.
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Sun Y, Cheng Z, Guo Z, Dai G, Li Y, Chen Y, Xie R, Wang X, Cui M, Lu G, Wang A, Gao C. Preliminary Study of Genome-Wide Association Identified Novel Susceptibility Genes for Hemorheological Indexes in a Chinese Population. Transfus Med Hemother 2022; 49:346-357. [PMID: 36654975 PMCID: PMC9768296 DOI: 10.1159/000524849] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/01/2021] [Accepted: 05/01/2022] [Indexed: 01/21/2023] Open
Abstract
Background Genome-wide association studies for various hemorheological characteristics have not been reported. We aimed to identify genetic loci associated with hemorheological indexes in a cohort of healthy Chinese Han individuals. Methods Genotyping was performed using Applied Biosystems Axiom™ Precision Medicine Diversity Array in 838 individuals, and 6,423,076 single nucleotide polymorphisms were available for genotyping. The relations were examined in an additive genetic model using mixed linear regression and combined with identical by descent matrix. Results We identified 38 genetic loci (p < 5 × 10-6) related to hemorheological traits. In which, LOC102724502-OLIG2 rs28371438 was related to the levels of nd30 (p = 8.58 × 10-07), nd300 (p = 1.89 × 10-06), erythrocyte rigidity (p = 1.29 × 10-06), assigned viscosity (p = 6.20 × 10-08) and whole blood high cut relative (p = 7.30 × 10-08). The association of STK32B rs4689231 for nd30 (p = 3.85 × 10-06) and nd300 (p = 2.94 × 10-06) and GTSCR1-LINC01541 rs11661911 for erythrocyte rigidity (p = 9.93 × 10-09) and whole blood high cut relative (p = 2.09 × 10-07) was found. USP25-MIR99AHG rs1297329 was associated with erythrocyte rigidity (p = 1.81 × 10-06) and erythrocyte deformation (p = 1.14 × 10-06). Moreover, the association of TMEM232-SLC25A46 rs3985087 and LINC00470-METTL4 rs9966987 for fibrinogen (p = 1.31 × 10-06 and p = 4.29 × 10-07) and plasma viscosity (p = 1.01 × 10-06 and p = 4.59 × 10-07) was found. Conclusion These findings may represent biological candidates for hemorheological indexes and contribute to hemorheological study.
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Affiliation(s)
- Yuxiao Sun
- Department of Cardiology, Henan Provincial People's Hospital, Zhengzhou, China,FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China,Henan Provincial Key Lab for Control of Coronary Heart Disease, Zhengzhou, China
| | - Zhaoyun Cheng
- Department of Cardiology, Henan Provincial People's Hospital, Zhengzhou, China,FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China
| | - Zhiping Guo
- Department of Cardiology, Henan Provincial People's Hospital, Zhengzhou, China,FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China,Henan Provincial Key Lab for Control of Coronary Heart Disease, Zhengzhou, China
| | - Guoyou Dai
- Department of Cardiology, Henan Provincial People's Hospital, Zhengzhou, China,FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China,Henan Provincial Key Lab for Control of Coronary Heart Disease, Zhengzhou, China
| | - Yongqiang Li
- Department of Cardiology, Henan Provincial People's Hospital, Zhengzhou, China,FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China
| | - Yan Chen
- Department of Cardiology, Henan Provincial People's Hospital, Zhengzhou, China,FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China
| | - Ruigang Xie
- Department of Cardiology, Henan Provincial People's Hospital, Zhengzhou, China,FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China
| | - Xianqing Wang
- Department of Cardiology, Henan Provincial People's Hospital, Zhengzhou, China,FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China
| | - Mingxia Cui
- FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China
| | - Guoqing Lu
- Department of Cardiology, Henan Provincial People's Hospital, Zhengzhou, China,FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China
| | - Aifeng Wang
- FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China
| | - Chuanyu Gao
- Department of Cardiology, Henan Provincial People's Hospital, Zhengzhou, China,FuWai Central China Cardiovascular Hospital, Zhengzhou, China,People's Hospital of Zhengzhou University, Zhengzhou, China,Henan Provincial Key Lab for Control of Coronary Heart Disease, Zhengzhou, China,*Chuanyu Gao,
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Javadi E, Jamali S. Thixotropy and rheological hysteresis in blood flow. J Chem Phys 2022; 156:084901. [DOI: 10.1063/5.0079214] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Elahe Javadi
- Northeastern University, United States of America
| | - Safa Jamali
- Mechanical Engineering, Northeastern University, United States of America
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Perazzo A, Peng Z, Young YN, Feng Z, Wood DK, Higgins JM, Stone HA. The effect of rigid cells on blood viscosity: linking rheology and sickle cell anemia. SOFT MATTER 2022; 18:554-565. [PMID: 34931640 PMCID: PMC8925304 DOI: 10.1039/d1sm01299a] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
Sickle cell anemia (SCA) is a disease that affects red blood cells (RBCs). Healthy RBCs are highly deformable objects that under flow can penetrate blood capillaries smaller than their typical size. In SCA there is an impaired deformability of some cells, which are much stiffer and with a different shape than healthy cells, and thereby affect regular blood flow. It is known that blood from patients with SCA has a higher viscosity than normal blood. However, it is unclear how the rigidity of cells is related to the viscosity of blood, in part because SCA patients are often treated with transfusions of variable amounts of normal RBCs and only a fraction of cells will be stiff. Here, we report systematic experimental measurements of the viscosity of a suspension varying the fraction of rigid particles within a suspension of healthy cells. We also perform systematic numerical simulations of a similar mixed suspension of soft RBCs, rigid particles, and their hydrodynamic interactions. Our results show that there is a rheological signature within blood viscosity to clearly identify the fraction of rigidified cells among healthy deformable cells down to a 5% volume fraction of rigidified cells. Although aggregation of RBCs is known to affect blood rheology at low shear rates, and our simulations mimic this effect via an adhesion potential, we show that such adhesion, or aggregation, is unlikely to provide a physical rationalization for the viscosity increase observed in the experiments at moderate shear rates due to rigidified cells. Through numerical simulations, we also highlight that most of the viscosity increase of the suspension is due to the rigidity of the particles rather than their sickled or spherical shape. Our results are relevant to better characterize SCA, provide useful insights relevant to rheological consequences of blood transfusions, and, more generally, extend to the rheology of mixed suspensions having particles with different rigidities, as well as offering possibilities for developments in the field of soft material composites.
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Affiliation(s)
- Antonio Perazzo
- Novaflux Inc., Princeton, NJ 08540, USA
- Advanced BioDevices LLC, Princeton, NJ 08540, USA
- Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA.
| | - Zhangli Peng
- Department of Biomedical Engineering, University of Illinois at Chicago, Chicago, IL 60607, USA
| | - Y-N Young
- Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, USA
| | - Zhe Feng
- Department of Biomedical Engineering, University of Illinois at Chicago, Chicago, IL 60607, USA
| | - David K Wood
- Department of Biomedical Engineering, University of Minnesota, Minneapolis, MN 55455, USA
| | - John M Higgins
- Center for Systems Biology and Department of Pathology, Massachusetts General Hospital, and Department of Systems Biology, Harvard Medical School, Boston, MA 02114, USA
| | - Howard A Stone
- Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA.
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Beris AN, Horner JS, Jariwala S, Armstrong MJ, Wagner NJ. Recent advances in blood rheology: a review. SOFT MATTER 2021; 17:10591-10613. [PMID: 34787149 DOI: 10.1039/d1sm01212f] [Citation(s) in RCA: 28] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/13/2023]
Abstract
Due to the potential impact on the diagnosis and treatment of various cardiovascular diseases, work on the rheology of blood has significantly expanded in the last decade, both experimentally and theoretically. Experimentally, blood has been confirmed to demonstrate a variety of non-Newtonian rheological characteristics, including pseudoplasticity, viscoelasticity, and thixotropy. New rheological experiments and the development of more controlled experimental protocols on more extensive, broadly physiologically characterized, human blood samples demonstrate the sensitivity of aspects of hemorheology to several physiological factors. For example, at high shear rates the red blood cells elastically deform, imparting viscoelasticity, while at low shear rates, they form "rouleaux" structures that impart additional, thixotropic behavior. In addition to the advances in experimental methods and validated data sets, significant advances have also been made in both microscopic simulations and macroscopic, continuum, modeling, as well as novel, multiscale approaches. We outline and evaluate the most promising of these recent developments. Although we primarily focus on human blood rheology, we also discuss recent observations on variations observed across some animal species that provide some indication on evolutionary effects.
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Affiliation(s)
- Antony N Beris
- Center for Research in Soft Matter and Polymers, Department of Chemical and Biomolecular Engineering, University of Delaware, Newark, DE 19716, USA.
| | - Jeffrey S Horner
- Center for Research in Soft Matter and Polymers, Department of Chemical and Biomolecular Engineering, University of Delaware, Newark, DE 19716, USA.
| | - Soham Jariwala
- Center for Research in Soft Matter and Polymers, Department of Chemical and Biomolecular Engineering, University of Delaware, Newark, DE 19716, USA.
| | - Matthew J Armstrong
- Department of Chemistry and Life Science, Chemical Engineering Program, United States Military Academy, West Point, NY 10996, USA
| | - Norman J Wagner
- Center for Research in Soft Matter and Polymers, Department of Chemical and Biomolecular Engineering, University of Delaware, Newark, DE 19716, USA.
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