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Uhlmann K, Balzani D. Chemo-mechanical modeling of smooth muscle cell activation for the simulation of arterial walls under changing blood pressure. Biomech Model Mechanobiol 2023; 22:1049-1065. [PMID: 36892587 PMCID: PMC10167144 DOI: 10.1007/s10237-023-01700-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2022] [Accepted: 02/05/2023] [Indexed: 03/10/2023]
Abstract
In this paper, a novel chemo-mechanical model is proposed for the description of the stretch-dependent chemical processes known as Bayliss effect and their impact on the active contraction in vascular smooth muscle. These processes are responsible for the adaptive reaction of arterial walls to changing blood pressure by which the blood vessels actively support the heart in providing sufficient blood supply for varying demands in the supplied tissues. The model is designed to describe two different stretch-dependent mechanisms observed in smooth muscle cells (SMCs): a calcium-dependent and a calcium-independent contraction. For the first one, stretch of the SMCs leads to an inlet of calcium ions which activates the myosin light chain kinase (MLCK). The increased activity of MLCK triggers the contractile units of the cells resulting in the contraction on a comparatively short time scale. For the calcium-independent contraction mechanism, stretch-dependent receptors of the cell membrane stimulate an intracellular reaction leading to an inhibition of the antagonist of MLCK, the myosin light chain phosphatase resulting in a contraction on a comparatively long time scale. An algorithmic framework for the implementation of the model in finite element programs is derived. Based thereon, it is shown that the proposed approach agrees well with experimental data. Furthermore, the individual aspects of the model are analyzed in numerical simulations of idealized arteries subject to internal pressure waves with changing intensities. The simulations show that the proposed model is able to describe the experimentally observed contraction of the artery as a reaction to increased internal pressure, which can be considered a crucial aspect of the regulatory mechanism of muscular arteries.
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Affiliation(s)
- Klemens Uhlmann
- Chair of Continuum Mechanics, Ruhr-Universität Bochum, Universitätsstraße 150, 44801, Bochum, Germany
| | - Daniel Balzani
- Chair of Continuum Mechanics, Ruhr-Universität Bochum, Universitätsstraße 150, 44801, Bochum, Germany.
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2
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Modeling Reactive Hyperemia to Better Understand and Assess Microvascular Function: A Review of Techniques. Ann Biomed Eng 2023; 51:479-492. [PMID: 36709231 PMCID: PMC9928923 DOI: 10.1007/s10439-022-03134-5] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/19/2022] [Accepted: 12/25/2022] [Indexed: 01/30/2023]
Abstract
Reactive hyperemia is a well-established technique for the non-invasive evaluation of the peripheral microcirculatory function, measured as the magnitude of limb re-perfusion after a brief period of ischemia. Despite widespread adoption by researchers and clinicians alike, many uncertainties remain surrounding interpretation, compounded by patient-specific confounding factors (such as blood pressure or the metabolic rate of the ischemic limb). Mathematical modeling can accelerate our understanding of the physiology underlying the reactive hyperemia response and guide in the estimation of quantities which are difficult to measure experimentally. In this work, we aim to provide a comprehensive guide for mathematical modeling techniques that can be used for describing the key phenomena involved in the reactive hyperemia response, alongside their limitations and advantages. The reported methodologies can be used for investigating specific reactive hyperemia aspects alone, or can be combined into a computational framework to be used in (pre-)clinical settings.
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3
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Manning EP, Ramachandra AB, Schupp JC, Cavinato C, Raredon MSB, Bärnthaler T, Cosme C, Singh I, Tellides G, Kaminski N, Humphrey JD. Mechanisms of Hypoxia-Induced Pulmonary Arterial Stiffening in Mice Revealed by a Functional Genetics Assay of Structural, Functional, and Transcriptomic Data. Front Physiol 2021; 12:726253. [PMID: 34594238 PMCID: PMC8478173 DOI: 10.3389/fphys.2021.726253] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/16/2021] [Accepted: 08/19/2021] [Indexed: 01/08/2023] Open
Abstract
Hypoxia adversely affects the pulmonary circulation of mammals, including vasoconstriction leading to elevated pulmonary arterial pressures. The clinical importance of changes in the structure and function of the large, elastic pulmonary arteries is gaining increased attention, particularly regarding impact in multiple chronic cardiopulmonary conditions. We establish a multi-disciplinary workflow to understand better transcriptional, microstructural, and functional changes of the pulmonary artery in response to sustained hypoxia and how these changes inter-relate. We exposed adult male C57BL/6J mice to normoxic or hypoxic (FiO2 10%) conditions. Excised pulmonary arteries were profiled transcriptionally using single cell RNA sequencing, imaged with multiphoton microscopy to determine microstructural features under in vivo relevant multiaxial loading, and phenotyped biomechanically to quantify associated changes in material stiffness and vasoactive capacity. Pulmonary arteries of hypoxic mice exhibited an increased material stiffness that was likely due to collagen remodeling rather than excessive deposition (fibrosis), a change in smooth muscle cell phenotype reflected by decreased contractility and altered orientation aligning these cells in the same direction as the remodeled collagen fibers, endothelial proliferation likely representing endothelial-to-mesenchymal transitioning, and a network of cell-type specific transcriptomic changes that drove these changes. These many changes resulted in a system-level increase in pulmonary arterial pulse wave velocity, which may drive a positive feedback loop exacerbating all changes. These findings demonstrate the power of a multi-scale genetic-functional assay. They also highlight the need for systems-level analyses to determine which of the many changes are clinically significant and may be potential therapeutic targets.
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Affiliation(s)
- Edward P Manning
- Pulmonary, Critical Care and Sleep Medicine, Yale School of Medicine, New Haven, CT, United States.,VA Connecticut Healthcare System, West Haven, CT, United States
| | - Abhay B Ramachandra
- Department of Biomedical Engineering, Yale University, New Haven, CT, United States
| | - Jonas C Schupp
- Pulmonary, Critical Care and Sleep Medicine, Yale School of Medicine, New Haven, CT, United States.,Respiratory Medicine, Hannover Medical School, Hannover, Germany
| | - Cristina Cavinato
- Department of Biomedical Engineering, Yale University, New Haven, CT, United States
| | - Micha Sam Brickman Raredon
- Department of Biomedical Engineering, Yale University, New Haven, CT, United States.,Vascular Biology and Therapeutics Program, Yale University, New Haven, CT, United States.,Department of Anesthesiology, Yale School of Medicine, New Haven, CT, United States
| | - Thomas Bärnthaler
- Pulmonary, Critical Care and Sleep Medicine, Yale School of Medicine, New Haven, CT, United States.,Division of Pharmacology, Otto Loewi Research Center, Medical University of Graz, Graz, Austria
| | - Carlos Cosme
- Pulmonary, Critical Care and Sleep Medicine, Yale School of Medicine, New Haven, CT, United States
| | - Inderjit Singh
- Pulmonary, Critical Care and Sleep Medicine, Yale School of Medicine, New Haven, CT, United States
| | - George Tellides
- VA Connecticut Healthcare System, West Haven, CT, United States.,Vascular Biology and Therapeutics Program, Yale University, New Haven, CT, United States.,Department of Surgery, Yale School of Medicine, New Haven, CT, United States
| | - Naftali Kaminski
- Pulmonary, Critical Care and Sleep Medicine, Yale School of Medicine, New Haven, CT, United States
| | - Jay D Humphrey
- Department of Biomedical Engineering, Yale University, New Haven, CT, United States.,Vascular Biology and Therapeutics Program, Yale University, New Haven, CT, United States
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Murtada SI, Kawamura Y, Li G, Schwartz MA, Tellides G, Humphrey JD. Developmental origins of mechanical homeostasis in the aorta. Dev Dyn 2021; 250:629-639. [PMID: 33341996 PMCID: PMC8089041 DOI: 10.1002/dvdy.283] [Citation(s) in RCA: 25] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/04/2020] [Revised: 10/25/2020] [Accepted: 12/15/2020] [Indexed: 12/19/2022] Open
Abstract
BACKGROUND Mechanical homeostasis promotes proper aortic structure and function. Pathological conditions may arise, in part, from compromised or lost homeostasis. There is thus a need to quantify the homeostatic state and when it emerges. Here we quantify changes in mechanical loading, geometry, structure, and function of the murine aorta from the late prenatal period into maturity. RESULTS Our data suggest that a homeostatic set-point is established by postnatal day P2 for the flow-induced shear stress experienced by endothelial cells; this value deviates from its set-point from P10 to P21 due to asynchronous changes in mechanical loading (flow, pressure) and geometry (radius, wall thickness), but is restored thereafter consistent with homeostasis. Smooth muscle contractility also decreases during this period of heightened matrix deposition but is also restored in maturity. The pressure-induced mechanical stress experienced by intramural cells initially remains low despite increasing blood pressure, and then increases while extracellular matrix accumulates. CONCLUSIONS These findings suggest that cell-level mechanical homeostasis emerges soon after birth to allow mechanosensitive cells to guide aortic development, with deposition of matrix after P2 increasingly stress shielding intramural cells. The associated tissue-level set-points that emerge for intramural stress can be used to assess and model the aorta that matures biomechanically by P56.
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Affiliation(s)
- Sae-Il Murtada
- Department of Biomedical Engineering, Yale University, New Haven, Connecticut, USA
| | - Yuki Kawamura
- Department of Biomedical Engineering, Yale University, New Haven, Connecticut, USA
- Department of Molecular, Cellular, and Developmental Biology, Yale University, New Haven, Connecticut, USA
| | - Guangxin Li
- Department of Surgery, Yale School of Medicine, New Haven, Connecticut, USA
| | - Martin A Schwartz
- Department of Biomedical Engineering, Yale University, New Haven, Connecticut, USA
- Department of Cell Biology, Yale School of Medicine, New Haven, Connecticut, USA
| | - George Tellides
- Department of Surgery, Yale School of Medicine, New Haven, Connecticut, USA
- Vascular Biology and Therapeutics Program, Yale School of Medicine, New Haven, Connecticut, USA
| | - Jay D Humphrey
- Department of Biomedical Engineering, Yale University, New Haven, Connecticut, USA
- Vascular Biology and Therapeutics Program, Yale School of Medicine, New Haven, Connecticut, USA
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Murtada SI, Kawamura Y, Weiss D, Humphrey JD. Differential biomechanical responses of elastic and muscular arteries to angiotensin II-induced hypertension. J Biomech 2021; 119:110297. [PMID: 33647550 DOI: 10.1016/j.jbiomech.2021.110297] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/22/2020] [Revised: 01/15/2021] [Accepted: 01/23/2021] [Indexed: 12/23/2022]
Abstract
Elastic and muscular arteries are distinguished by their distinct microstructures, biomechanical properties, and smooth muscle cell contractile functions. They also exhibit differential remodeling in aging and hypertension. Although regional differences in biomechanical properties have been compared, few studies have quantified biaxial differences in response to hypertension. Here, we contrast passive and active changes in large elastic and medium- and small-sized muscular arteries in adult mice in response to chronic infusion of angiotensin over 14 days. We found a significant increase in wall thickness, both medial and adventitial, in the descending thoracic aorta that associated with trends of an increased collagen:elastin ratio. There was adventitial thickening in the small-sized mesenteric artery, but also significant changes in elastic lamellar structure and contractility. An increased contractile response to phenylephrine coupled with a reduced vasodilatory response to acetylcholine in the mesenteric artery suggested an increased contractile state in response to hypertension. Overall reductions in the calculated gradients in pulse wave velocity and elastin energy storage capability from elastic-to-muscular arteries suggested a possible transfer of excessive pulsatile energy into the small-sized muscular arteries resulting in significant functional consequences in response to hypertension.
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Affiliation(s)
- S-I Murtada
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA.
| | - Y Kawamura
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA
| | - D Weiss
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA
| | - J D Humphrey
- Department of Biomedical Engineering, Yale University, New Haven, CT, USA; Vascular Biology and Therapeutics Program, Yale School of Medicine, New Haven, CT, USA
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Michel JB. Phylogenic Determinants of Cardiovascular Frailty, Focus on Hemodynamics and Arterial Smooth Muscle Cells. Physiol Rev 2020; 100:1779-1837. [DOI: 10.1152/physrev.00022.2019] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023] Open
Abstract
The evolution of the circulatory system from invertebrates to mammals has involved the passage from an open system to a closed in-parallel system via a closed in-series system, accompanying the increasing complexity and efficiency of life’s biological functions. The archaic heart enables pulsatile motion waves of hemolymph in invertebrates, and the in-series circulation in fish occurs with only an endothelium, whereas mural smooth muscle cells appear later. The present review focuses on evolution of the circulatory system. In particular, we address how and why this evolution took place from a closed, flowing, longitudinal conductance at low pressure to a flowing, highly pressurized and bifurcating arterial compartment. However, although arterial pressure was the latest acquired hemodynamic variable, the general teleonomy of the evolution of species is the differentiation of individual organ function, supported by specific fueling allowing and favoring partial metabolic autonomy. This was achieved via the establishment of an active contractile tone in resistance arteries, which permitted the regulation of blood supply to specific organ activities via its localized function-dependent inhibition (active vasodilation). The global resistance to viscous blood flow is the peripheral increase in frictional forces caused by the tonic change in arterial and arteriolar radius, which backscatter as systemic arterial blood pressure. Consequently, the arterial pressure gradient from circulating blood to the adventitial interstitium generates the unidirectional outward radial advective conductance of plasma solutes across the wall of conductance arteries. This hemodynamic evolution was accompanied by important changes in arterial wall structure, supported by smooth muscle cell functional plasticity, including contractility, matrix synthesis and proliferation, endocytosis and phagocytosis, etc. These adaptive phenotypic shifts are due to epigenetic regulation, mainly related to mechanotransduction. These paradigms actively participate in cardio-arterial pathologies such as atheroma, valve disease, heart failure, aneurysms, hypertension, and physiological aging.
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Skinner S, Ling Liu K, Lo M, Josset-Lamaugarny A, Charrin E, Martin C, Pialoux V, Fromy B, Connes P, Sigaudo-Roussel D. Alterations in vascular reactivity in a transgenic mouse model of sickle cell trait. Br J Haematol 2020; 189:e154-e157. [PMID: 32181880 DOI: 10.1111/bjh.16577] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/19/2020] [Accepted: 02/24/2020] [Indexed: 11/29/2022]
Affiliation(s)
- Sarah Skinner
- LIBM EA7424, UCBL 1, Villeurbanne, France.,LabEx GR-Ex, Paris, France
| | - Kiao Ling Liu
- Institut Universitaire de France, Paris, France.,UMR 5305 CNRS, Lyon, France
| | - Ming Lo
- Institut Universitaire de France, Paris, France.,UMR 5305 CNRS, Lyon, France
| | | | | | - Cyril Martin
- LIBM EA7424, UCBL 1, Villeurbanne, France.,LabEx GR-Ex, Paris, France
| | - Vincent Pialoux
- LIBM EA7424, UCBL 1, Villeurbanne, France.,LabEx GR-Ex, Paris, France.,Université Lyon 1, Lyon, France
| | - Bérengère Fromy
- Institut Universitaire de France, Paris, France.,UMR 5305 CNRS, Lyon, France
| | - Philippe Connes
- LIBM EA7424, UCBL 1, Villeurbanne, France.,LabEx GR-Ex, Paris, France.,Université Lyon 1, Lyon, France
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