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Yochum M, Laforêt J, Marque C. An electro-mechanical multiscale model of uterine pregnancy contraction. Comput Biol Med 2016; 77:182-94. [PMID: 27567400 DOI: 10.1016/j.compbiomed.2016.08.001] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/05/2016] [Revised: 07/30/2016] [Accepted: 08/01/2016] [Indexed: 11/16/2022]
Abstract
Detecting preterm labor as early as possible is important because tocolytic drugs are much more likely to delay preterm delivery if administered early. Having good information on the real risk of premature labor also leads to fewer women who do not need aggressive treatment for premature labor threat. Currently, one of the most promising ways to diagnose preterm labor threat is the analysis of the electrohysterogram (EHG). Its characteristics have been related to preterm labor risk but they have not proven to be sufficiently accurate to use in clinical routine. One of the reasons for this is that the physiology of the pregnant uterus is insufficiently understood. Models already exist in literature that simulate either the electrical or the mechanical component of the uterine smooth muscle. Few include both components in a co-simulation of electrical and mechanical aspects. A model that can represent realistically both the electrical and the mechanical behavior of the uterine muscle could be useful for better understanding the EHG and therefore for preterm labor detection. Processing the EHG considers only the electrical component of the uterus but the electrical activity does not seem to explain by itself the synchronization of the uterine muscle that occurs during labor and not at other times. Recent studies have demonstrated that the mechanical behavior of the uterine muscle seems to play an important role in uterus synchronization during labor. The aim of the proposed study is to link three different models of the uterine smooth muscle behavior by using co-simulation. The models go from the electrical activity generated at the cellular level to the mechanical force generated by the muscle and from there to the deformation of the tissue. The results show the feasibility of combining these three models to model a whole uterus contraction on 3D realistic uterus model.
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Affiliation(s)
- Maxime Yochum
- Sorbonne University,Université de technologie de Compiègne, CNRS, UMR 7338 Biomechanics and Bioengineering, Centre de recherche Royallieu, CS 60319-60203 Compiègne cedex, France.
| | - Jérémy Laforêt
- Sorbonne University,Université de technologie de Compiègne, CNRS, UMR 7338 Biomechanics and Bioengineering, Centre de recherche Royallieu, CS 60319-60203 Compiègne cedex, France
| | - Catherine Marque
- Sorbonne University,Université de technologie de Compiègne, CNRS, UMR 7338 Biomechanics and Bioengineering, Centre de recherche Royallieu, CS 60319-60203 Compiègne cedex, France
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Abstract
Vascular smooth muscle (VSM; see Table 1 for a list of abbreviations) is a heterogeneous biomaterial comprised of cells and extracellular matrix. By surrounding tubes of endothelial cells, VSM forms a regulated network, the vasculature, through which oxygenated blood supplies specialized organs, permitting the development of large multicellular organisms. VSM cells, the engine of the vasculature, house a set of regulated nanomotors that permit rapid stress-development, sustained stress-maintenance and vessel constriction. Viscoelastic materials within, surrounding and attached to VSM cells, comprised largely of polymeric proteins with complex mechanical characteristics, assist the engine with countering loads imposed by the heart pump, and with control of relengthening after constriction. The complexity of this smart material can be reduced by classical mechanical studies combined with circuit modeling using spring and dashpot elements. Evaluation of the mechanical characteristics of VSM requires a more complete understanding of the mechanics and regulation of its biochemical parts, and ultimately, an understanding of how these parts work together to form the machinery of the vascular tree. Current molecular studies provide detailed mechanical data about single polymeric molecules, revealing viscoelasticity and plasticity at the protein domain level, the unique biological slip-catch bond, and a regulated two-step actomyosin power stroke. At the tissue level, new insight into acutely dynamic stress-strain behavior reveals smooth muscle to exhibit adaptive plasticity. At its core, physiology aims to describe the complex interactions of molecular systems, clarifying structure-function relationships and regulation of biological machines. The intent of this review is to provide a comprehensive presentation of one biomachine, VSM.
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Affiliation(s)
- Paul H Ratz
- Department of Biochemistry and Molecular Biology, Virginia Commonwealth University, Richmond, Virginia, USA
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Kim H, Suh J, Lee Y, Lee T, Hong J. Modeling the contractile characteristics of smooth muscle from the porcine small intestine. Anim Cells Syst (Seoul) 2015. [DOI: 10.1080/19768354.2015.1057614] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022] Open
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Roman HN, Zitouni NB, Kachmar L, Benedetti A, Sobieszek A, Lauzon AM. The role of caldesmon and its phosphorylation by ERK on the binding force of unphosphorylated myosin to actin. Biochim Biophys Acta Gen Subj 2014; 1840:3218-25. [PMID: 25108062 DOI: 10.1016/j.bbagen.2014.07.024] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/15/2014] [Revised: 07/11/2014] [Accepted: 07/30/2014] [Indexed: 11/28/2022]
Abstract
BACKGROUND Studies conducted at the whole muscle level have shown that smooth muscle can maintain tension with low Adenosine triphosphate (ATP) consumption. Whereas it is generally accepted that this property (latch-state) is a consequence of the dephosphorylation of myosin during its attachment to actin, free dephosphorylated myosin can also bind to actin and contribute to force maintenance. We investigated the role of caldesmon (CaD) in regulating the binding force of unphosphorylated tonic smooth muscle myosin to actin. METHODS To measure the effect of CaD on the binding of unphosphorylated myosin to actin (in the presence of ATP), we used a single beam laser trap assay to quantify the average unbinding force (Funb) in the absence or presence of caldesmon, extracellular signal-regulated kinase (ERK)-phosphorylated CaD, or CaD plus tropomyosin. RESULTS Funb from unregulated actin (0.10±0.01pN) was significantly increased in the presence of CaD (0.17±0.02pN), tropomyosin (0.17±0.02pN) or both regulatory proteins (0.18±0.02pN). ERK phosphorylation of CaD significantly reduced the Funb (0.06±0.01pN). Inspection of the traces of the Funb as a function of time suggests that ERK phosphorylation of CaD decreases the binding force of myosin to actin or accelerates its detachment. CONCLUSIONS CaD enhances the binding force of unphosphorylated myosin to actin potentially contributing to the latch-state. ERK phosphorylation of CaD decreases this binding force to very low levels. GENERAL SIGNIFICANCE This study suggests a mechanism that likely contributes to the latch-state and that explains the muscle relaxation from the latch-state.
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Affiliation(s)
- Horia Nicolae Roman
- Meakins-Christie Laboratories, McGill University, Montréal, Québec, Canada; Department of Biomedical Engineering, McGill University, Montréal, Québec, Canada
| | - Nedjma B Zitouni
- Meakins-Christie Laboratories, McGill University, Montréal, Québec, Canada
| | - Linda Kachmar
- Meakins-Christie Laboratories, McGill University, Montréal, Québec, Canada
| | - Andrea Benedetti
- Department of Medicine, McGill University, Montréal, Québec, Canada; Department of Epidemiology, Biostatistics & Occupational Health, McGill University, Montréal, Québec, Canada; Respiratory Epidemiology & Clinical Research Unit, Montreal Chest Institute, Montréal, Québec, Canada
| | - Apolinary Sobieszek
- Institute for Biomedical Aging Research, Smooth Muscle Lab at the Life Science Center, Austrian Academy of Sciences, Mitterweg 24, A-6020 Innsbruck, Austria
| | - Anne-Marie Lauzon
- Meakins-Christie Laboratories, McGill University, Montréal, Québec, Canada; Department of Medicine, McGill University, Montréal, Québec, Canada; Department of Biomedical Engineering, McGill University, Montréal, Québec, Canada; Department of Physiology, McGill University, Montréal, Québec, Canada.
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5
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Li L, Howell K, Sands M, Banahan M, Frohlich S, Rowan SC, Neary R, Ryan D, McLoughlin P. The α and Δ isoforms of CREB1 are required to maintain normal pulmonary vascular resistance. PLoS One 2013; 8:e80637. [PMID: 24349008 PMCID: PMC3857174 DOI: 10.1371/journal.pone.0080637] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/05/2013] [Accepted: 10/05/2013] [Indexed: 01/15/2023] Open
Abstract
Chronic hypoxia causes pulmonary hypertension associated with structural alterations in pulmonary vessels and sustained vasoconstriction. The transcriptional mechanisms responsible for these distinctive changes are unclear. We have previously reported that CREB1 is activated in the lung in response to alveolar hypoxia but not in other organs. To directly investigate the role of α and Δ isoforms of CREB1 in the regulation of pulmonary vascular resistance we examined the responses of mice in which these isoforms of CREB1 had been inactivated by gene mutation, leaving only the β isoform intact (CREB(αΔ) mice). Here we report that expression of CREB regulated genes was altered in the lungs of CREB(αΔ) mice. CREB(αΔ) mice had greater pulmonary vascular resistance than wild types, both basally in normoxia and following exposure to hypoxic conditions for three weeks. There was no difference in rho kinase mediated vasoconstriction between CREB(αΔ) and wild type mice. Stereological analysis of pulmonary vascular structure showed characteristic wall thickening and lumen reduction in hypoxic wild-type mice, with similar changes observed in CREB(αΔ). CREB(αΔ) mice had larger lungs with reduced epithelial surface density suggesting increased pulmonary compliance. These findings show that α and Δ isoforms of CREB1 regulate homeostatic gene expression in the lung and that normal activity of these isoforms is essential to maintain low pulmonary vascular resistance in both normoxic and hypoxic conditions and to maintain the normal alveolar structure. Interventions that enhance the actions of α and Δ isoforms of CREB1 warrant further investigation in hypoxic lung diseases.
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Affiliation(s)
- Lili Li
- University College Dublin, School of Medicine and Medical Sciences, Conway Institute, Dublin, Ireland
| | - Katherine Howell
- University College Dublin, School of Medicine and Medical Sciences, Conway Institute, Dublin, Ireland
| | - Michelle Sands
- University College Dublin, School of Medicine and Medical Sciences, Conway Institute, Dublin, Ireland
| | - Mark Banahan
- University College Dublin, School of Medicine and Medical Sciences, Conway Institute, Dublin, Ireland
| | - Stephen Frohlich
- University College Dublin, School of Medicine and Medical Sciences, Conway Institute, Dublin, Ireland
- Department of Anaesthesia and Critical Care, St Vincent's University Hospital, Dublin, Ireland
| | - Simon C. Rowan
- University College Dublin, School of Medicine and Medical Sciences, Conway Institute, Dublin, Ireland
| | - Roisín Neary
- University College Dublin, School of Medicine and Medical Sciences, Conway Institute, Dublin, Ireland
| | - Donal Ryan
- Department of Anaesthesia and Critical Care, St Vincent's University Hospital, Dublin, Ireland
| | - Paul McLoughlin
- University College Dublin, School of Medicine and Medical Sciences, Conway Institute, Dublin, Ireland
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Zhang Y, Hermanson ME, Eddinger TJ. Tonic and phasic smooth muscle contraction is not regulated by the PKCα - CPI-17 pathway in swine stomach antrum and fundus. PLoS One 2013; 8:e74608. [PMID: 24058600 PMCID: PMC3776813 DOI: 10.1371/journal.pone.0074608] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2013] [Accepted: 08/04/2013] [Indexed: 01/31/2023] Open
Abstract
Regulation of myosin light chain phosphatase (MLCP) via protein kinase C (PKC) and the 17 kDa PKC-potentiated inhibitor of myosin light chain phosphatase (CPI-17) has been reported as a Ca2+ sensitization signaling pathway in smooth muscle (SM), and thus may be involved in tonic vs. phasic contractions. This study examined the protein expression and spatial-temporal distribution of PKCα and CPI-17 in intact SM tissues. KCl or carbachol (CCh) stimulation of tonic stomach fundus SM generates a sustained contraction while the phasic stomach antrum generates a transient contraction. In addition, the tonic fundus generates greater relative force than phasic antrum with 1 µM phorbol 12, 13-dibutyrate (PDBu) stimulation which is reported to activate the PKCα – CPI-17 pathway. Western blot analyses demonstrated that this contractile difference was not caused by a difference in the protein expression of PKCα or CPI-17 between these two tissues. Immunohistochemical results show that the distribution of PKCα in the longitudinal and circular layers of the fundus and antrum do not differ, being predominantly localized near the SM cell plasma membrane. Stimulation of either tissue with 1 µM PDBu or 1 µM CCh does not alter this peripheral PKCα distribution. There are no differences between these two tissues for the CPI-17 distribution, but unlike the PKCα distribution, CPI-17 appears to be diffusely distributed throughout the cytoplasm under relaxed tissue conditions but shifts to a primarily peripheral distribution at the plasma membrane with stimulation of the tissues with 1 µM PDBu or 1 µM CCh. Results from double labeling show that neither PKCα nor CPI-17 co-localize at the adherens junction (vinculin/talin) at the membrane but they do co-localize with each other and with caveoli (caveolin) at the membrane. This lack of difference suggests that the PKCα - CPI-17 pathway is not responsible for the tonic vs. phasic contractions observed in stomach fundus and antrum.
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Affiliation(s)
- Yu Zhang
- Department of Biological Sciences, Marquette University, Milwaukee, Wisconsin, United States of America
| | - Meghan E. Hermanson
- Department of Biology, Bradley University, Peoria, Illinois, United States of America
| | - Thomas J. Eddinger
- Department of Biological Sciences, Marquette University, Milwaukee, Wisconsin, United States of America
- * E-mail:
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Lauzon AM, Bates JHT, Donovan G, Tawhai M, Sneyd J, Sanderson MJ. A multi-scale approach to airway hyperresponsiveness: from molecule to organ. Front Physiol 2012; 3:191. [PMID: 22701430 PMCID: PMC3371674 DOI: 10.3389/fphys.2012.00191] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/28/2012] [Accepted: 05/21/2012] [Indexed: 12/13/2022] Open
Abstract
Airway hyperresponsiveness (AHR), a characteristic of asthma that involves an excessive reduction in airway caliber, is a complex mechanism reflecting multiple processes that manifest over a large range of length and time scales. At one extreme, molecular interactions determine the force generated by airway smooth muscle (ASM). At the other, the spatially distributed constriction of the branching airways leads to breathing difficulties. Similarly, asthma therapies act at the molecular scale while clinical outcomes are determined by lung function. These extremes are linked by events operating over intermediate scales of length and time. Thus, AHR is an emergent phenomenon that limits our understanding of asthma and confounds the interpretation of studies that address physiological mechanisms over a limited range of scales. A solution is a modular computational model that integrates experimental and mathematical data from multiple scales. This includes, at the molecular scale, kinetics, and force production of actin-myosin contractile proteins during cross-bridge and latch-state cycling; at the cellular scale, Ca2+ signaling mechanisms that regulate ASM force production; at the tissue scale, forces acting between contracting ASM and opposing viscoelastic tissue that determine airway narrowing; at the organ scale, the topographic distribution of ASM contraction dynamics that determine mechanical impedance of the lung. At each scale, models are constructed with iterations between theory and experimentation to identify the parameters that link adjacent scales. This modular model establishes algorithms for modeling over a wide range of scales and provides a framework for the inclusion of other responses such as inflammation or therapeutic regimes. The goal is to develop this lung model so that it can make predictions about bronchoconstriction and identify the pathophysiologic mechanisms having the greatest impact on AHR and its therapy.
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Affiliation(s)
- Anne-Marie Lauzon
- Meakins-Christie Laboratories, Department of Medicine, McGill University Montreal, QC, Canada
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A three-dimensional chemo-mechanical continuum model for smooth muscle contraction. J Mech Behav Biomed Mater 2012; 13:215-29. [PMID: 22926184 DOI: 10.1016/j.jmbbm.2012.05.015] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/03/2012] [Revised: 05/21/2012] [Accepted: 05/23/2012] [Indexed: 11/22/2022]
Abstract
Based on two fields, namely the placement and the calcium concentration, a chemo-mechanically coupled three-dimensional model, describing the contractile behaviour of smooth muscles, is presented by means of a strain energy function. The strain energy function (Schmitz and Böl, 2011) is additively decomposed into a passive part, relating to elastin and collagen, and an active calcium-driven part related to the chemical contraction of the smooth muscle cells. For the description of the calcium phase the four state cross-bridge model of Hai and Murphy (Hai and Murphy, 1988) has been implemented into the finite element method. Beside three-dimensional illustrative boundary-value problems demonstrating the features of the presented modelling concept, simulations on an idealised artery document the applicability of the model to more realistic geometries.
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Experiments and mechanochemical modeling of smooth muscle contraction: Significance of filament overlap. J Theor Biol 2012; 297:176-86. [DOI: 10.1016/j.jtbi.2011.11.012] [Citation(s) in RCA: 57] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/18/2011] [Revised: 11/04/2011] [Accepted: 11/08/2011] [Indexed: 11/21/2022]
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10
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Cross-bridge apparent rate constants of human gallbladder smooth muscle. J Muscle Res Cell Motil 2011; 32:209-20. [PMID: 21948190 DOI: 10.1007/s10974-011-9260-y] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/18/2011] [Accepted: 09/07/2011] [Indexed: 10/17/2022]
Abstract
This paper studies human gallbladder (GB) smooth muscle contractions. A two-state cross-bridge model was used to estimate the apparent attachment and detachment rate constants, as well as increased Ca2+ concentration from the peak active stress during the isometric contraction. The active stress was computed from a mechanical model based entirely on non-invasive routine ultrasound scans. In the two-state cross-bridge model, the two apparent rate constants, representing the total attached/detached cross-bridges, respectively, were estimated using active stress prediction for 51 subjects undergoing cholecystokinin-provocation test, together with estimates from the four-state cross-bridge model for a swine carotid, bovine tracheal and guinea pig GB smooth muscles. The study suggests that the apparent rate constants should be patient-specific, i.e. patients with a lower stress level are characterized by smaller apparent rate constants. In other words, the diseased GB may need to develop fast cycling cross-bridges to compensate in the emptying process. This is a first step towards more quantitative and non-invasive measures of GB pain, and may provide useful insight in understanding GB motility and developing effective drug treatments.
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11
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Al-Jumaily A, Du Y. Fading memory model for airway smooth muscle dynamic response. J Theor Biol 2011; 283:10-3. [DOI: 10.1016/j.jtbi.2011.05.024] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/23/2011] [Revised: 05/12/2011] [Accepted: 05/16/2011] [Indexed: 11/16/2022]
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12
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Schmitz A, Böl M. On a phenomenological model for active smooth muscle contraction. J Biomech 2011; 44:2090-5. [PMID: 21632055 DOI: 10.1016/j.jbiomech.2011.05.020] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2011] [Revised: 05/12/2011] [Accepted: 05/14/2011] [Indexed: 11/28/2022]
Abstract
This paper presents a three-dimensional phenomenological model for the description of smooth muscle activation. A strain energy function is proposed as sum of the strain energy stored in the passive tissue, consisting of elastin and collagen, and an active calcium-driven energy related to the chemical contraction of the smooth muscle cells. Further, the proposed model includes the dispersions of the orientations of smooth muscle cells and collagen. These dispersions, measured in experiments, can be directly inserted into the model. The approach is implemented into the framework of the finite element method. Consequently, beside a validation with experiments the modelling concept is used for a three-dimensional numerical study.
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Affiliation(s)
- André Schmitz
- Institute of Solid Mechanics, Department of Mechanical Engineering, Technische Universität Carolo-Wilhelmina, 38106 Braunschweig, Germany
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13
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McDonald SJ, Dooley PC, McDonald AC, Djouma E, Schuijers JA, Ward AR, Grills BL. α(1) adrenergic receptor agonist, phenylephrine, actively contracts early rat rib fracture callus ex vivo. J Orthop Res 2011; 29:740-5. [PMID: 21437954 DOI: 10.1002/jor.21302] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/13/2010] [Accepted: 10/08/2010] [Indexed: 02/04/2023]
Abstract
Early, soft fracture callus that links fracture ends together is smooth muscle-like in nature. We aimed to determine if early fracture callus could be induced to contract and relax ex vivo by similar pathways to smooth muscle, that is, contraction via α(1) adrenergic receptor (α(1) AR) activation with phenylephrine (PE) and relaxation via β(2) adrenergic receptor (β(2) AR) stimulation with terbutaline. A sensitive force transducer quantified 7 day rat rib fracture callus responses in modified Krebs-Henseliet (KH) solutions. Unfractured ribs along with 7, 14, and 21 day fracture calluses were analyzed for both α(1) AR and β(2) AR gene expression using qPCR, whilst 7 day fracture callus was examined via immunohistochemistry for both α(1) AR and β(2) AR- immunoreactivity. In 7 day callus, PE (10(-6) M) significantly induced an increase in force that was greater than passive force generated in calcium-free KH (n = 8, mean 51% increase, 95% CI: 26-76%). PE-induced contractions in calluses were attenuated by the α(1) AR antagonist, prazosin (10(-6) M; n = 7, mean 5% increase, 95% CI: 2-11%). Terbutaline did not relax callus. Gene expression of α(1) ARs was constant throughout fracture healing; however, β(2) AR expression was down-regulated at 7 days compared to unfractured rib (p < 0.01). Furthermore, osteoprogenitor cells of early fibrous callus displayed considerable α(1) AR-like immunoreactivity but not β(2) AR-like immunoreactivity. Here, we demonstrate for the first time that early fracture callus can be pharmacologically induced to contract. We propose that increased concentrations of α(1) AR agonists such as noradrenaline may tonically contract callus in vivo to promote osteogenesis.
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Affiliation(s)
- Stuart J McDonald
- Musculoskeletal Research Centre, School of Human Biosciences, La Trobe University, Victoria 3086, Australia
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Kroon M. Optimal length of smooth muscle assessed by a microstructurally and statistically based constitutive model. Comput Methods Biomech Biomed Engin 2011; 14:43-52. [DOI: 10.1080/10255842.2010.493521] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Kroon M. Influence of dispersion in myosin filament orientation and anisotropic filament contractions in smooth muscle. J Theor Biol 2010; 272:72-82. [PMID: 21130097 DOI: 10.1016/j.jtbi.2010.11.037] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/04/2010] [Revised: 11/06/2010] [Accepted: 11/28/2010] [Indexed: 10/18/2022]
Abstract
A new constitutive model for the biomechanical behaviour of smooth muscle tissue is proposed. The active muscle contraction is accomplished by the relative sliding between actin and myosin filaments, comprising contractile units in the smooth muscle cells. The orientation of the myosin filaments, and thereby the contractile units, are taken to exhibit a statistical dispersion around a preferred direction. The number of activated cross-bridges between the actin and myosin filaments governs the contractile force generated by the muscle and also the contraction speed. A strain-energy function is used to describe the mechanical behaviour of the smooth muscle tissue. Besides the active contractile apparatus, the mechanical model also incorporates a passive elastic part. The constitutive model was compared to histological and isometric tensile test results for smooth muscle tissue from swine carotid artery. In order to be able to predict the active stress at different muscle lengths, a filament dispersion significantly larger than the one observed experimentally was required. Furthermore, a comparison of the predicted active stress for a case of uniaxially oriented myosin filaments and a case of filaments with a dispersion based on the experimental histological data shows that the difference in generated stress is noticeable but limited. Thus, the results suggest that myosin filament dispersion alone cannot explain the increase in active muscle stress with increasing muscle stretch.
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Affiliation(s)
- Martin Kroon
- Department of Solid Mechanics, Royal Institute of Technology, Stockholm, Sweden.
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Mbikou P, Fajmut A, Brumen M, Roux E. Contribution of Rho kinase to the early phase of the calcium-contraction coupling in airway smooth muscle. Exp Physiol 2010; 96:240-58. [PMID: 20870731 DOI: 10.1113/expphysiol.2010.054635] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
We investigated theoretically and experimentally the role of Rho kinase (RhoK) in Ca(2+)-contraction coupling in rat airways. Isometric contraction was measured on tracheal, extrapulmonary and intrapulmonary bronchial rings. Intracellular [Ca(2+)] was recorded in freshly isolated tracheal myocytes. Stimulation by carbachol (0.3 and 10 μm) and 50 mm external KCl induced a short-time, Hill-shaped contraction obtained within 90 s, followed by a sustained or an additional delayed contraction. Responses of [Ca(2+)](i) to acetylcholine consisted in a fast peak followed by a plateau and, in 42% of the cells, superimposed Ca(2+) oscillations. The RhoK inhibitor Y27632 (10 μm) did not alter the [Ca(2+)](i) response. Whatever the agonist, Y27632 did not modify the basal tension but decreased the amplitude of the short-duration response, without altering the additional delayed contraction. The Myosin Light Chain Phosphatase (MLCP) inhibitor calyculin A increased the basal tension and abolished the effect of RhoK. KN93 (Ca(2+)-calmodulin-dependent protein kinase II inhibitor) and DIDS (inhibitor of Ca(2+)-activated Cl(-) channels) had no influence on the RhoK effect. We built a theoretical model of Ca(2+)-dependent active/inactive RhoK ratio and subsequent RhoK-dependent MLCP inactivation, which was further coupled with a four-state model of the contractile apparatus and Ca(2+)-dependent MLCK activation. The model explains the time course of the short-duration contraction and the role of RhoK by Ca(2+)-dependent activation of MLCK and RhoK, which inactivates MLCP. Oscillatory and non-oscillatory [Ca(2+)](i) responses result in a non-oscillatory contraction, the amplitude of which is encoded by the plateau value and oscillation frequency. In conclusion, Ca(2+)-dependent but CaMK II-independent RhoK activation contributes to the early phase of the contractile response via MLCP inhibition.
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Affiliation(s)
- Prisca Mbikou
- Laboratoire de Physiologie Cellulaire Respiratoire, INSERM U885, Université Victor Segalen Bordeaux 2, 146 rue Léo-Saignat, Bordeaux cedex, France
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Moran CM, Garriock RJ, Miller MK, Heimark RL, Gregorio CC, Krieg PA. Expression of the fast twitch troponin complex, fTnT, fTnI and fTnC, in vascular smooth muscle. ACTA ACUST UNITED AC 2008; 65:652-61. [PMID: 18548613 DOI: 10.1002/cm.20291] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
It is generally believed that proteins of the troponin complex are not expressed in smooth muscle. We have directly assayed for expression of troponin transcripts in mouse vascular smooth muscle and found that troponin sequences normally associated with fast twitch skeletal muscle (fTnT, fTnI, fTnC) were present at significant levels in the thoracic aorta. In situ hybridization experiments demonstrated that fTnT, fTnI and fTnC transcripts were expressed in the smooth muscle layer of mouse blood vessels of all sizes. Protein blot analysis using rat tissue showed that at least two members of the troponin complex, Troponin T and Troponin I, were translated in vascular smooth muscle of the aorta. Finally, immuno-fluorescence microscopy of rat aortic smooth muscle revealed that TnT and TnI are localized in a unique pattern, coincident with the distribution of tropomyosin. It seems likely therefore, that a complete troponin complex is expressed in vascular smooth muscle and is associated with the contractile machinery of the cell. These observations raise the possibility that troponins play a role in regulation of smooth muscle function.
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Affiliation(s)
- Carlos M Moran
- Department of Cell Biology and Anatomy, Molecular Cardiovascular Research Program, University of Arizona College of Medicine, Tucson, Arizona 85724, USA
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Goeckeler ZM, Bridgman PC, Wysolmerski RB. Nonmuscle myosin II is responsible for maintaining endothelial cell basal tone and stress fiber integrity. Am J Physiol Cell Physiol 2008; 295:C994-1006. [PMID: 18701651 DOI: 10.1152/ajpcell.00318.2008] [Citation(s) in RCA: 47] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
Cultured confluent endothelial cells exhibit stable basal isometric tone associated with constitutive myosin II regulatory light chain (RLC) phosphorylation. Thrombin treatment causes a rapid increase in isometric tension concomitant with myosin II RLC phosphorylation, actin polymerization, and stress fiber reorganization while inhibitors of myosin light chain kinase (MLCK) and Rho-kinase prevent these responses. These findings suggest a central role for myosin II in the regulation of endothelial cell tension. The present studies examine the effects of blebbistatin, a specific inhibitor of myosin II activity, on basal tone and thrombin-induced tension development. Although blebbistatin treatment abolished basal tension, this was accompanied by an increase in myosin II RLC phosphorylation. The increase in RLC phosphorylation was Ca(2+) dependent and mediated by MLCK. Similarly, blebbistatin inhibited thrombin-induced tension without interfering with the increase in RLC phosphorylation or in F-actin polymerization. Blebbistatin did prevent myosin II filament incorporation and association with polymerizing or reorganized actin filaments leading to the disappearance of stress fibers. Thus the inhibitory effects of blebbistatin on basal tone and induced tension are consistent with a requirement for myosin II activity to maintain stress fiber integrity.
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Affiliation(s)
- Zoe M Goeckeler
- Department of Neurobiology and Anatomy, West Virginia University School of Medicine, Morgantown, West Virginia 26506, USA
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Stålhand J, Klarbring A, Holzapfel GA. Smooth muscle contraction: Mechanochemical formulation for homogeneous finite strains. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 2008; 96:465-81. [PMID: 17884150 DOI: 10.1016/j.pbiomolbio.2007.07.025] [Citation(s) in RCA: 78] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
Chemical kinetics of smooth muscle contraction affect mechanical properties of organs that function under finite strains. In an effort to gain further insight into organ physiology, we formulate a mechanochemical finite strain model by considering the interaction between mechanical and biochemical components of cell function during activation. We propose a new constitutive framework and use a mechanochemical device that consists of two parallel elements: (i) spring for the cell stiffness; (ii) contractile element for the sarcomere. We use a multiplicative decomposition of cell elongation into filament contraction and cross-bridge deformation, and suggest that the free energy be a function of stretches, four variables (free unphosphorylated myosin, phosphorylated cross-bridges, phosphorylated and dephosphorylated cross-bridges attached to actin), chemical state variable driven by Ca2+-concentration, and temperature. The derived constitutive laws are thermodynamically consistent. Assuming isothermal conditions, we specialize the mechanical phase such that we recover the linear model of Yang et al. [2003a. The myogenic response in isolated rat cerebrovascular arteries: smooth muscle cell. Med. Eng. Phys. 25, 691-709]. The chemical phase is also specialized so that the linearized chemical evolution law leads to the four-state model of Hai and Murphy [1988. Cross-bridge phosphorylation and regulation of latch state in smooth muscle. Am. J. Physiol. 254, C99-C106]. One numerical example shows typical mechanochemical effects and the efficiency of the proposed approach. We discuss related parameter identification, and illustrate the dependence of muscle contraction (Ca2+-concentration) on active stress and related stretch. Mechanochemical models of this kind serve the mathematical basis for analyzing coupled processes such as the dependency of tissue properties on the chemical kinetics of smooth muscle.
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Affiliation(s)
- J Stålhand
- Department of Mechanical Engineering, Linköping Institute of Technology, Linköping, Sweden.
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Shelud'ko NS, Matusovsky OS, Permyakova TV, Matusovskaya GG. "Twitchin-actin linkage hypothesis" for the catch mechanism in molluscan muscles: evidence that twitchin interacts with myosin, myorod, and paramyosin core and affects properties of actomyosin. Arch Biochem Biophys 2007; 466:125-35. [PMID: 17720132 DOI: 10.1016/j.abb.2007.07.014] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/02/2007] [Revised: 07/11/2007] [Accepted: 07/13/2007] [Indexed: 10/23/2022]
Abstract
"Twitchin-actin linkage hypothesis" for the catch mechanism in molluscan smooth muscles postulates in vivo existence of twitchin links between thin and thick filaments that arise in a phosphorylation-dependent manner [N.S. Shelud'ko, G.G. Matusovskaya, T.V. Permyakova, O.S. Matusovsky, Arch. Biochem. Biophys. 432 (2004) 269-277]. In this paper, we proposed a scheme for a possible catch mechanism involving twitchin links and regulated thin filaments. The experimental evidence in support of the scheme is provided. It was found that twitchin can interact not only with mussel myosin and rabbit F-actin but also with the paramyosin core of thick filaments, myorod, mussel thin filaments, "natural" F-actin from mussel, and skeletal myosin from rabbit. No difference was revealed in binding of twitchin with mussel and rabbit myosin. The capability of twitchin to interact with all thick filament proteins suggests that putative twitchin links can be attached to any site of thick filaments. Addition of twitchin to a mixture of actin and paramyosin filaments, or to a mixture of Ca(2+)-regulated actin and myosin filaments under relaxing conditions caused in both cases similar changes in the optical properties of suspensions, indicating an interaction and aggregation of the filaments. The interaction of actin and myosin filaments in the presence of twitchin under relaxing conditions was not accompanied by an appreciable increase in the MgATPase activity. We suggest that in both cases aggregation of filaments was caused by formation of twitchin links between the filaments. We also demonstrate that native thin filaments from the catch muscle of the mussel Crenomytilus grayanus are Ca(2+)-regulated. Twitchin inhibits the ability of thin filaments to activate myosin MgATPase in the presence of Ca(2+). We suggest that twitchin inhibition of the actin-myosin interaction is due to twitchin-induced switching of the thin filaments to the inactive state.
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Affiliation(s)
- Nikolay S Shelud'ko
- Department of Cell Biophysics, Institute of Marine Biology, Far East Branch of the Russian Academy of Sciences, Vladivostok 690041, Russia.
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Du Y, Al-Jumaily AM, Shukla H. Smooth muscle stiffness variation due to external longitudinal oscillations. J Biomech 2007; 40:3207-14. [PMID: 17559855 DOI: 10.1016/j.jbiomech.2007.04.013] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/04/2007] [Revised: 04/21/2007] [Accepted: 04/23/2007] [Indexed: 11/17/2022]
Abstract
This research focuses on an in vitro investigation of the stiffness changes of contracted airway smooth muscles (ASM) subjected to external longitudinal oscillations. ASM tissues were dissected from excised pig tracheas and stimulated by a chemical stimulus (acetylcholine, 10(-3) M) to produce maximum contractions. The tissues were then systematically excited with external oscillations. Various frequencies, amplitudes and durations were used in the experiments to determine stiffness changes in response to these variations. Force changes were recorded to reflect the muscle stiffness changes. Two stiffness definitions were used to quantify the results, dynamic stiffness to reflect variations during oscillation and static stiffness to reflect the net effect of oscillation. Under isometric contractions, these two stiffnesses were determined before, during and after oscillations. Incorporating an empirical stiffness equation, a two-dimensional finite element model (FEM) was developed to generalize the tissue responses to oscillation. The main outcomes from this work are: the dynamic stiffness has the tendency to decrease as the frequency and/or amplitude of external oscillation increases; the static stiffness has the tendency of decreasing with an increase in the frequency and/or amplitude of excitation until it reaches almost a constant value for frequencies at and above 25 Hz. The difference in the behavior of the dynamic and static stiffness changes may be attributed to the effect of elasticity and mass inertia that are involved in the dynamic motion. The findings of this research are in agreement with the hypothesis that oscillations exert a direct action on the contractile processes by causing an increased rate of actin-myosin detachments.
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Affiliation(s)
- Y Du
- Biomedical Engineering Centre (BioMEC), Auckland University of Technology, Auckland, New Zealand
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Han S, Speich JE, Eddinger TJ, Berg KM, Miner AS, Call C, Ratz PH. Evidence for absence of latch-bridge formation in muscular saphenous arteries. Am J Physiol Heart Circ Physiol 2006; 291:H138-46. [PMID: 16461375 DOI: 10.1152/ajpheart.00977.2005] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
Large-diameter elastic arteries can produce strong contractions indefinitely at a high-energy economy by the formation of latch bridges. Whether downstream blood vessels also use latch bridges remains unknown. The zero-pressure medial thickness and lumen diameter of rabbit saphenous artery (SA), a muscular branch of the elastic femoral artery (FA), were, respectively, approximately twofold and half-fold that of the FA. In isolated FA and SA rings, KCl rapidly (< 16 s) caused strong increases in isometric stress (1.2 x 10(5) N/m2) and intracellular Ca2+ concentration ([Ca2+]i; 250 nM). By 10 min, [Ca2+]i declined to approximately 175 nM in both tissues, but stress was sustained in FA (1.3 x 10(5) N/m2) and reduced by 40% in SA (0.8 x 10(5) N/m2). Reduced tonic stress correlated with reduced myosin light chain (MLC) phosphorylation in SA (28 vs. 42% in FA), and simulations with the use of the four-state kinetic latch-bridge model supported the hypothesis that latch-bridge formation in FA, but not SA, permitted maintenance of high stress values at steady state. SA expressed more MLC phosphatase than FA, and permeabilized SA relaxed more rapidly than FA, suggesting that MLC phosphatase activity was greater in SA than in FA. The ratio of fast-to-slow myosin isoforms was greater for SA than FA, and on quick release, SA redeveloped isometric force faster than FA. These data support the hypothesis that maintained isometric force was 40% less in SA than in FA because expressed motor proteins in SA do not support latch-bridge formation.
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Affiliation(s)
- Shaojie Han
- Department of Biochemistry, Virginia Commonwealth University School of Medicine, Richmond, VA 23298-0614, USA
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