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Yang Y, Jiang H. Intercellular water exchanges trigger soliton-like waves in multicellular systems. Biophys J 2022; 121:1610-1618. [PMID: 35395246 PMCID: PMC9117941 DOI: 10.1016/j.bpj.2022.04.005] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/23/2021] [Revised: 02/03/2022] [Accepted: 03/31/2022] [Indexed: 11/26/2022] Open
Abstract
Oscillations and waves are ubiquitous in living cellular systems. Generations of these spatio-temporal patterns are generally attributed to some mechanochemical feedbacks. Here, we treat cells as open systems, i.e., water and ions can pass through the cell membrane passively or actively, and reveal a new origin of wave generation. We show that osmotic shocks above a shock threshold will trigger self-sustained cell oscillations and result in long-range waves propagating without decrement, a phenomenon that is analogous to the excitable medium. The travelling wave propagates along intercellular osmotic pressure gradient and its wave speed scales with the magnitude of intercellular water flows. Furthermore, we also find that the travelling wave exhibits several hallmarks of solitary waves. Together, our findings predict a new mechanism of wave generation in living multicellular systems. The ubiquity of intercellular water exchanges implies that this mechanism may be relevant to a broad class of systems.
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Affiliation(s)
- Yuehua Yang
- CAS Key Laboratory of Mechanical Behavior and Design of Materials, Hefei National Laboratory for Physical Science at the Microscale, CAS Center for Excellence in Complex System Mechanics, Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Hongyuan Jiang
- CAS Key Laboratory of Mechanical Behavior and Design of Materials, Hefei National Laboratory for Physical Science at the Microscale, CAS Center for Excellence in Complex System Mechanics, Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China.
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2
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Yang Y, Jiang H. Mechanical properties of external confinement modulate the rounding dynamics of cells. Biophys J 2021; 120:2306-2316. [PMID: 33864788 DOI: 10.1016/j.bpj.2021.04.006] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/12/2020] [Revised: 03/02/2021] [Accepted: 04/09/2021] [Indexed: 10/21/2022] Open
Abstract
Many studies have demonstrated that mitotic cells can round up against external impediments. However, how the stiffness of external confinement affects the dynamics of rounding force/pressure and cell volume remains largely unknown. Here, we develop a theoretical framework to study the rounding of adherent cells confined between a substrate and a cantilever. We show that the rounding force and pressure increase exclusively with the effective confinement on the cell, which is related to the cantilever stiffness and the separation between cantilever and substrate. Remarkably, an increase of cantilever stiffness from 0.001 to 1 N/m can lead to a 100-fold change in rounding force. This model also predicts an active role of confinement stiffness in regulating the dynamics of cell volume and hydrostatic pressure. We find that the dynamic changes of cellular volume and hydrostatic pressure after osmotic shocks are opposite if the cantilever is soft, whereas the dynamic changes of cellular volume and pressure are the same if the cantilever is stiff. Taken together, this work demonstrates that confinement stiffness appears as a critical regulator in regulating the dynamics of rounding force and pressure. Our findings also indicate that the difference in cantilever stiffness need to be considered when comparing the measured rounding force and pressure from various experiments.
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Affiliation(s)
- Yuehua Yang
- CAS Key Laboratory of Mechanical Behavior and Design of Materials, Hefei National Laboratory for Physical Science at the Microscale, CAS Center for Excellence in Complex System Mechanics, Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui, China
| | - Hongyuan Jiang
- CAS Key Laboratory of Mechanical Behavior and Design of Materials, Hefei National Laboratory for Physical Science at the Microscale, CAS Center for Excellence in Complex System Mechanics, Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui, China.
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3
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McEvoy E, Han YL, Guo M, Shenoy VB. Gap junctions amplify spatial variations in cell volume in proliferating tumor spheroids. Nat Commun 2020; 11:6148. [PMID: 33262337 PMCID: PMC7708487 DOI: 10.1038/s41467-020-19904-5] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/14/2020] [Accepted: 11/03/2020] [Indexed: 01/09/2023] Open
Abstract
Sustained proliferation is a significant driver of cancer progression. Cell-cycle advancement is coupled with cell size, but it remains unclear how multiple cells interact to control their volume in 3D clusters. In this study, we propose a mechano-osmotic model to investigate the evolution of volume dynamics within multicellular systems. Volume control depends on an interplay between multiple cellular constituents, including gap junctions, mechanosensitive ion channels, energy-consuming ion pumps, and the actomyosin cortex, that coordinate to manipulate cellular osmolarity. In connected cells, we show that mechanical loading leads to the emergence of osmotic pressure gradients between cells with consequent increases in cellular ion concentrations driving swelling. We identify how gap junctions can amplify spatial variations in cell volume within multicellular spheroids and, further, describe how the process depends on proliferation-induced solid stress. Our model may provide new insight into the role of gap junctions in breast cancer progression.
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Affiliation(s)
- Eoin McEvoy
- Center for Engineering Mechanobiology, University of Pennsylvania, Philadelphia, PA, USA
- Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA, USA
| | - Yu Long Han
- Department of Mechanical Engineering, MIT, Cambridge, MA, USA
| | - Ming Guo
- Department of Mechanical Engineering, MIT, Cambridge, MA, USA
| | - Vivek B Shenoy
- Center for Engineering Mechanobiology, University of Pennsylvania, Philadelphia, PA, USA.
- Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA, USA.
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4
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Sharp K, Crampin E, Sneyd J. A spatial model of fluid recycling in the airways of the lung. J Theor Biol 2015; 382:198-215. [PMID: 26169010 DOI: 10.1016/j.jtbi.2015.06.050] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/05/2014] [Revised: 06/26/2015] [Accepted: 06/30/2015] [Indexed: 12/11/2022]
Abstract
The genetic disease cystic fibrosis (CF) is a mutation in the cystic fibrosis transmembrane conductance regulator (CFTR) gene, and results in viscous mucus and impaired mucociliary clearance leading to chronic recurring pulmonary infections. Although extensive experimental research has been conducted over the last few decades, CF lung pathophysiology remains controversial. There are two competing explanations for the observed depletion of periciliary liquid (PCL) in CF lungs. The low volume hypothesis assumes fluid hyperabsorption through surface epithelia due to an over-active epithelial Na(+) channel (ENaC), and the low secretion hypothesis assumes inspissated mucins secreted from glands due to lack of serous fluid secreted from gland acini. We present a spatial mathematical model that reflects in vivo fluid recycling via submucosal gland (SMG) secretion, and absorption through surface epithelia. We then test the model in CF conditions by increasing ENaC open probability and decreasing SMG flux while simultaneously reducing CFTR open probability. Increasing ENaC activity only results in increased fluid absorption across surface epithelia, as seen in in vitro experiments. However, combining potential CF mechanisms results in markedly less fluid absorbed while providing the largest reduction in PCL volume, suggesting that a compromise in gland fluid secretion dominates over increased ENaC activity to decrease the amount of fluid transported transcellularly in CF lungs in vivo. Model results also indicate that a spatial model is necessary for an accurate calculation of total fluid transport, as the effects of spatial gradients can be severe, particularly in close proximity to the SMGs.
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Affiliation(s)
- Katie Sharp
- Department of Mathematics, University of Auckland, 23 Princes St, Auckland CBD, Auckland 1010, New Zealand.
| | - Edmund Crampin
- Department of Biomedical Engineering, Level 4, University of Melbourne, Parkville 3010, Victoria, Australia
| | - James Sneyd
- Department of Mathematics, University of Auckland, 23 Princes St, Auckland CBD, Auckland 1010, New Zealand
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5
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Jiang H, Sun S. Cellular pressure and volume regulation and implications for cell mechanics. Biophys J 2013; 105:609-19. [PMID: 23931309 PMCID: PMC3736675 DOI: 10.1016/j.bpj.2013.06.021] [Citation(s) in RCA: 115] [Impact Index Per Article: 10.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/15/2013] [Revised: 06/04/2013] [Accepted: 06/12/2013] [Indexed: 11/20/2022] Open
Abstract
In eukaryotic cells, small changes in cell volume can serve as important signals for cell proliferation, death, and migration. Volume and shape regulation also directly impacts the mechanics of cells and tissues. Here, we develop a mathematical model of cellular volume and pressure regulation, incorporating essential elements such as water permeation, mechanosensitive channels, active ion pumps, and active stresses in the cortex. The model can fully explain recent experimental data, and it predicts cellular volume and pressure for several models of cell cortical mechanics. Moreover, we show that when cells are subjected to an externally applied load, such as in an atomic force microscopy indentation experiment, active regulation of volume and pressure leads to a complex cellular response. Instead of the passive mechanics of the cortex, the observed cell stiffness depends on several factors working together. This provides a mathematical explanation of rate-dependent response of cells under force.
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Affiliation(s)
- Hongyuan Jiang
- Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland
| | - Sean X. Sun
- Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland
- Department of Biomedical Engineering and Johns Hopkins Physical Oncology Center, Johns Hopkins University, Baltimore, Maryland
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6
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Zima AV, Pabbidi MR, Lipsius SL, Blatter LA. Effects of mitochondrial uncoupling on Ca(2+) signaling during excitation-contraction coupling in atrial myocytes. Am J Physiol Heart Circ Physiol 2013; 304:H983-93. [PMID: 23376829 DOI: 10.1152/ajpheart.00932.2012] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
Mitochondria play an important role in intracellular Ca(2+) concentration ([Ca(2+)]i) regulation in the heart. We studied sarcoplasmic reticulum (SR) Ca(2+) release in cat atrial myocytes during depolarization of mitochondrial membrane potential (ΔΨm) induced by the protonophore FCCP. FCCP caused an initial decrease of action potential-induced Ca(2+) transient amplitude and frequency of spontaneous Ca(2+) waves followed by partial recovery despite partially depleted SR Ca(2+) stores. In the presence of oligomycin, FCCP only exerted a stimulatory effect on Ca(2+) transients and Ca(2+) wave frequency, suggesting that the inhibitory effect of FCCP was mediated by ATP consumption through reverse-mode operation of mitochondrial F1F0-ATPase. ΔΨm depolarization was accompanied by cytosolic acidification, increases of diastolic [Ca(2+)]i, intracellular Na(+) concentration ([Na(+)]i), and intracellular Mg(2+) concentration ([Mg(2+)]i), and a decrease of intracellular ATP concentration ([ATP]i); however, glycolytic ATP production partially compensated for the exhaustion of mitochondrial ATP supplies. In conclusion, the initial inhibition of Ca(2+) transients and waves resulted from suppression of ryanodine receptor SR Ca(2+) release channel activity by a decrease in [ATP], an increase of [Mg(2+)]i, and cytoplasmic acidification. The later stimulation resulted from reduced mitochondrial Ca(2+) buffering and cytosolic Na(+) and Ca(2+) accumulation, leading to enhanced Ca(2+)-induced Ca(2+) release and spontaneous Ca(2+) release in the form of Ca(2+) waves. ΔΨm depolarization and the ensuing consequences of mitochondrial uncoupling observed here (intracellular acidification, decrease of [ATP]i, increase of [Na(+)]i and [Mg(2+)]i, and Ca(2+) overload) are hallmarks of ischemia. These findings may therefore provide insight into the consequences of mitochondrial uncoupling for ion homeostasis, SR Ca(2+) release, and excitation-contraction coupling in ischemia at the cellular and subcellular level.
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Affiliation(s)
- Aleksey V Zima
- Department of Cell and Molecular Physiology, Loyola University Chicago, Stritch School of Medicine, Maywood, IL, USA
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7
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Florea SM, Blatter LA. Regulation of cardiac alternans by β-adrenergic signaling pathways. Am J Physiol Heart Circ Physiol 2012; 303:H1047-56. [PMID: 22904161 DOI: 10.1152/ajpheart.00384.2012] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
In cat atrial myocytes, β-adrenergic receptor (β-AR) stimulation exerts profound effects on excitation-contraction coupling and cellular Ca(2+) cycling that are mediated by β(1)- and β(2)-AR subtypes coupled to G proteins (G(s) and G(i)). In this study, we determined the effects of β-AR stimulation on pacing-induced Ca(2+) alternans. Ca(2+) alternans was recorded from single cat atrial myocytes with the fluorescent Ca(2+) indicator indo-1. Stable Ca(2+) alternans occurred at an average pacing frequency of 1.7 Hz at room temperature with a mean alternans ratio of 0.43. Nonselective β-AR stimulation as well as selective stimulation of β(1)/G(s), β(2)/G(s) + G(i), and β(2)/G(s) coupled pathways all abolished pacing-induced Ca(2+) alternans. β(1)-AR stimulation abolished alternans through stimulation of PKA and Ca(2+)/calmodulin-dependent protein kinase II, whereas β(2)-AR stimulation exclusively involved PKA and was mediated via G(s), whereas a known second pathway in cat atrial myocytes acting through G(i) and nitric oxide production was not involved in alternans regulation. Inhibition of various mitochondrial functions (dissipation of the mitochondrial membrane potential or inhibition of mitochondrial F(1)/F(0)-ATP synthase, mitochondrial Ca(2+) uptake via the mitochondrial Ca(2+) uniporter, and Ca(2+) extrusion via mitochondrial Na(+)/Ca(2+) exchange) enhanced Ca(2+) alternans; however, β-AR stimulation still abrogated alternans, provided that sufficient cellular ATP was available. Selective inhibition of mitochondrial or glycolytic ATP production did not prevent β-AR stimulation from abolishing Ca(2+) alternans. However, when both ATP sources were depleted, β-AR stimulation failed to decrease Ca(2+) alternans. These results indicate that in atrial myocytes, β-AR stimulation protects against pacing-induced alternans by acting through parallel and complementary signaling pathways.
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Affiliation(s)
- Stela M Florea
- Department of Molecular Biophysics and Physiology, Rush University Medical Center, Chicago, Illinois 60612, USA
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Oka C, Cha CY, Noma A. Characterization of the cardiac Na+/K+ pump by development of a comprehensive and mechanistic model. J Theor Biol 2010; 265:68-77. [PMID: 20435048 DOI: 10.1016/j.jtbi.2010.04.028] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/12/2009] [Revised: 03/06/2010] [Accepted: 04/26/2010] [Indexed: 12/01/2022]
Abstract
A large amount of experimental data on the characteristics of the cardiac Na(+)/K(+) pump have been accumulated, but it remains difficult to predict the quantitative contribution of the pump in an intact cell because most measurements have been made under non-physiological conditions. To extrapolate the experimental findings to intact cells, we have developed a comprehensive Na(+)/K(+) pump model based on the thermodynamic framework (Smith and Crampin, 2004) of the Post-Albers reaction cycle combined with access channel mechanisms. The new model explains a variety of experimental results for the Na(+)/K(+) pump current (I(NaK)), including the dependency on the concentrations of Na(+) and K(+), the membrane potential and the free energy of ATP hydrolysis. The model demonstrates that both the apparent affinity and the slope of the substrate-I(NaK) relationship measured experimentally are affected by the composition of ions in the extra- and intracellular solutions, indirectly through alteration in the probability distribution of individual enzyme intermediates. By considering the voltage dependence in the Na(+)- and K(+)-binding steps, the experimental voltage-I(NaK) relationship could be reconstructed with application of experimental ionic compositions in the model, and the view of voltage-dependent K(+) binding was supported. Re-evaluation of charge movements accompanying Na(+) and K(+) translocations gave a reasonable number for the site density of the Na(+)/K(+) pump on the membrane. The new model is relevant for simulation of cellular functions under various interventions, such as depression of energy metabolism.
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Affiliation(s)
- Chiaki Oka
- Cell/Biodynamics Simulation Project, Kyoto University, Kyoto, Japan
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9
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Abstract
Movement of ions across the cell membrane is driven by the free energy released from ATP hydrolysis. Here we will briefly review the chemistry of Na(+), K(+)-ATPase reaction; we will also review some recent results defining the relationship between the energetic driving force and Na(+) efflux by the Na(+) pump in the normal myocardium and then discuss this relationship for pathophysiologic states in the heart.
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Affiliation(s)
- Joanne S Ingwall
- NMR Laboratory for Physiological Chemistry, Division of Cardiovascular Medicine, Department of Medicine, Brigham and Women's Hospital and Harvard Medical School, Boston, Massachusetts 02115, USA.
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10
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Wang YC, Huang RC. Effects of sodium pump activity on spontaneous firing in neurons of the rat suprachiasmatic nucleus. J Neurophysiol 2006; 96:109-18. [PMID: 16467417 DOI: 10.1152/jn.01369.2005] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022] Open
Abstract
Cell-attached and whole cell recording techniques were used to study the effects of electrogenic sodium pump on the excitability of rat suprachiasmatic nucleus (SCN) neurons. Blocking the sodium pump with the cardiac steroid strophanthidin or zero K+ increased the spontaneous firing of SCN neurons to different degrees with different recording modes, whereas turning the sodium pump into a nonselective cation channel with the marine toxin palytoxin invariably increased the spontaneous firing to the point of total blockade. Current-clamp recordings indicated that strophanthidin increased the rate of membrane depolarization and reduced the peak afterhyperpolarization potential (AHP), whereas zero K+ also increased the rate of depolarization, but enhanced the peak AHP. The dual effect of zero K+ was reflected by the biphasic time course of voltage responses to zero K+: an inhibitory phase with enhanced peak AHP and slower firing, followed by a delayed excitatory phase with faster rate of membrane depolarization and faster firing. In the presence of strophanthidin to block the sodium pump, zero K+ consistently decreased firing by enhancing the peak AHP. Repetitive applications of K+ -free solution gradually turned the biphasic inhibitory-followed-by-excitatory voltage response into a monophasic inhibitory response in cells recorded with the whole cell (but not the cell-attached) mode, suggesting rundown of sodium pump activity. Taken together, the results suggest that spontaneous firing of SCN neurons is regulated by sodium pump activity as well as the AHP, and that sodium pump activity is modulated by intracellular soluble substances subject to rundown under the whole cell conditions.
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Affiliation(s)
- Yi-Chi Wang
- Department of Physiology and Pharmacology, Chang Gung University School of Medicine, Tao-Yuan, Taiwan
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11
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Smith NP, Barclay CJ, Loiselle DS. The efficiency of muscle contraction. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 2005; 88:1-58. [PMID: 15561300 DOI: 10.1016/j.pbiomolbio.2003.11.014] [Citation(s) in RCA: 121] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
When a muscle contracts and shortens against a load, it performs work. The performance of work is fuelled by the expenditure of metabolic energy, more properly quantified as enthalpy (i.e., heat plus work). The ratio of work performed to enthalpy produced provides one measure of efficiency. However, if the primary interest is in the efficiency of the actomyosin cross-bridges, then the metabolic overheads associated with basal metabolism and excitation-contraction coupling, together with those of subsequent metabolic recovery process, must be subtracted from the total heat and work observed. By comparing the cross-bridge work component of the remainder to the Gibbs free energy of hydrolysis of ATP, a measure of thermodynamic efficiency is achieved. We describe and quantify this partitioning process, providing estimates of the efficiencies of selected steps, while discussing the errors that can arise in the process of quantification. The dependence of efficiency on animal species, fibre-type, temperature, and contractile velocity is considered. The effect of contractile velocity on energetics is further examined using a two-state, Huxley-style, mathematical model of cross-bridge cycling that incorporates filament compliance. Simulations suggest only a modest effect of filament compliance on peak efficiency, but progressively larger gains (vis-à-vis the rigid filament case) as contractile velocity approaches Vmax. This effect is attributed primarily to a reduction in the component of energy loss arising from detachment of cross-bridge heads at non-zero strain.
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Affiliation(s)
- Nicholas P Smith
- Bioengineering Institute, University of Auckland, Auckland, New Zealand
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12
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Smith NP, Crampin EJ. Development of models of active ion transport for whole-cell modelling: cardiac sodium-potassium pump as a case study. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 2004; 85:387-405. [PMID: 15142754 DOI: 10.1016/j.pbiomolbio.2004.01.010] [Citation(s) in RCA: 59] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Abstract
This study presents a method for the reduction of biophysically-based kinetic models for the active transport of ions. A lumping scheme is presented which exploits the differences in timescales associated with fast and slow transitions between model states, while maintaining the thermodynamic properties of the model. The goal of this approach is to contribute to modelling of the effects of disturbances to metabolism, associated with ischaemic heart disease, on cardiac cell function. The approach is illustrated for the sodium-potassium pump in the myocyte. The lumping scheme is applied to produce a 4-state representation from the detailed 15-state model of Läuger and Apell, Eur. Biophys. J. 13 (1986) 309, for which the principles of free energy transduction are used to link the free energy released from ATP hydrolysis (deltaGATP) to the transition rates between states of the model. An iterative minimisation algorithm is implemented to determine the transition rate parameters based on the model fit to experimental data. Finally, the relationship between deltaGATP and pump cycling direction is investigated and compared with recent experimental findings.
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Affiliation(s)
- N P Smith
- Bioengineering Institute, The University of Auckland, Private Bag 92019, Auckland, New Zealand.
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13
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Apell HJ. Structure-function relationship in P-type ATPases--a biophysical approach. Rev Physiol Biochem Pharmacol 2004; 150:1-35. [PMID: 12811587 DOI: 10.1007/s10254-003-0018-9] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Abstract
P-type ATPases are a large family of membrane proteins that perform active ion transport across biological membranes. In these proteins the energy-providing ATP hydrolysis is coupled to ion-transport that builds up or maintains the electrochemical potential gradients of one or two ion species across the membrane. P-type ATPases are found in virtually all eukaryotic cells and also in bacteria, and they are transporters of a broad variety of ions. So far, a crystal structure with atomic resolution is available only for one species, the SR Ca-ATPase. However, biochemical and biophysical studies provide an abundance of details on the function of this class of ion pumps. The aim of this review is to summarize the results of preferentially biophysical investigations of the three best-studied ion pumps, the Na,K-ATPase, the gastric H,K-ATPase, and the SR Ca-ATPase, and to compare functional properties to recent structural insights with the aim of contributing to the understanding of their structure-function relationship.
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Affiliation(s)
- H-J Apell
- Department of Biology, University of Konstanz, Fach M635, 78457 Konstanz, Germany.
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14
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Jansen MA, Shen H, Zhang L, Wolkowicz PE, Balschi JA. Energy requirements for the Na+ gradient in the oxygenated isolated heart: effect of changing the free energy of ATP hydrolysis. Am J Physiol Heart Circ Physiol 2003; 285:H2437-45. [PMID: 12958035 DOI: 10.1152/ajpheart.00534.2003] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
This study tests the hypothesis that a decrease of the free energy of ATP hydrolysis (Delta GATP) below a threshold value will inhibit Na+-K+-ATPase (Na+ pump) activity and result in an increase of intracellular Na+ concentration ([Na+]i) in the heart. Conditions were designed in which hearts were solely dependent on ATP derived from oxidative phosphorylation. The only substrate supplied was the fatty acid butyrate (Bu) at either low, 0.1 mM (LowBu), or high, 4 mM (HighBu), concentrations. Escalating work demand reduced the Delta GATP of the LowBu hearts. 31P, 23Na, and 87Rb NMR spectroscopy measured high-energy phosphate metabolites, [Na+]i, and Rb+ uptake. Rb+ uptake was used to estimate Na+ pump activity. To measure [Na+]i using a shift reagent for cations, extracellular Ca2+ was reduced to 0.85 mM, which eliminated work demand Delta GATP reductions. Increasing extracellular Na+ (Nae+) to 200 mM restored work demand Delta GATP reductions. In response to higher [Na+]e, [Na+]i increased equally in LowBu and HighBu hearts to approximately 8.6 mM, but Delta GATP decreased only in LowBu hearts. At lowest work demand the LowBu heart Delta GATP was -53 kJ/mol, Rb+ uptake was similar to that of HighBu hearts, and [Na+]i was constant. At highest work demand the LowBu heart Delta GATP decreased to -48 kJ/mol, the [Na+]i increased to 25 mM, and Rb+ uptake was 56% of that in HighBu hearts. At the highest work demand the HighBu heart Delta GATP was -54 kJ/mol and [Na+]i increased only approximately 10%. We conclude that a Delta GATP below -50 kJ/mol limits the Na+ pump and prevents maintenance of [Na+]i homeostasis.
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Affiliation(s)
- Maurits A Jansen
- Division of Cardiovascular Disease, Department o fMedicine, Universityof Alabama, Birmingham, 35294-4470, USA
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15
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Abstract
Like several other ion transporters, the Na(+)-K(+) pump of animal cells is electrogenic. The pump generates the pump current I(p). Under physiological conditions, I(p) is an outward current. It can be measured by electrophysiological methods. These methods permit the study of characteristics of the Na(+)-K(+) pump in its physiological environment, i.e., in the cell membrane. The cell membrane, across which a potential gradient exists, separates the cytosol and extracellular medium, which have distinctly different ionic compositions. The introduction of the patch-clamp techniques and the enzymatic isolation of cells have facilitated the investigation of I(p) in single cardiac myocytes. This review summarizes and discusses the results obtained from I(p) measurements in isolated cardiac cells. These results offer new exciting insights into the voltage and ionic dependence of the Na(+)-K(+) pump activity, its effect on membrane potential, and its modulation by hormones, transmitters, and drugs. They are fundamental for our current understanding of Na(+)-K(+) pumping in electrically excitable cells.
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Affiliation(s)
- H G Glitsch
- Arbeitsgruppe Muskelphysiologie, Fakultät für Biologie, Ruhr-Universität Bochum, Bochum, Germany
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16
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Abstract
The aim of this review is to provide basic information on the electrophysiological changes during acute ischemia and reperfusion from the level of ion channels up to the level of multicellular preparations. After an introduction, section II provides a general description of the ion channels and electrogenic transporters present in the heart, more specifically in the plasma membrane, in intracellular organelles of the sarcoplasmic reticulum and mitochondria, and in the gap junctions. The description is restricted to activation and permeation characterisitics, while modulation is incorporated in section III. This section (ischemic syndromes) describes the biochemical (lipids, radicals, hormones, neurotransmitters, metabolites) and ion concentration changes, the mechanisms involved, and the effect on channels and cells. Section IV (electrical changes and arrhythmias) is subdivided in two parts, with first a description of the electrical changes at the cellular and multicellular level, followed by an analysis of arrhythmias during ischemia and reperfusion. The last short section suggests possible developments in the study of ischemia-related phenomena.
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Affiliation(s)
- E Carmeliet
- Centre for Experimental Surgery and Anesthesiology, University of Leuven, Leuven, Belgium
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17
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Kabakov AY. Activation of KATP channels by Na/K pump in isolated cardiac myocytes and giant membrane patches. Biophys J 1998; 75:2858-67. [PMID: 9826607 PMCID: PMC1299958 DOI: 10.1016/s0006-3495(98)77728-8] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023] Open
Abstract
Strophanthidin inhibits KATP channels in 2,4-dinitrophenol-poisoned heart cells (). The current study shows that the Na/K pump interacts with KATP current (IK-ATP) via submembrane ATP depletion in isolated giant membrane patches and in nonpoisoned guinea pig cardiac cells in whole-cell configuration. IK-ATP was inhibited by ATP, glibenclamide, or intracellular Cs+. Na/K pump inactivation by substitution of cytoplasmic Na+ for Li+ or N-methylglucamine decreased both IK-ATP by 1/3 (1 mM ATP, zero calcium), and IC50 of ATP for IK-ATP (0.3 +/- 0.1 mM) by 2/5. The Na+/Li+ replacement had no effect on IK-ATP at low pump activity ([ATP] </= 0.1 mM or 100 microM ouabain) or when IK-ATP was completely inhibited by 10 mM ATP. In whole-cell configuration, ouabain inhibited up to 60% of inwardly rectifying IK-ATP at 1 mM ATP in the pipette but not at 10 mM ATP and 10 mM phosphocreatine when IK-ATP was always blocked. However, mathematical simulation of giant-patch experiments revealed that only 20% of ATP depletion may be attributed to the ATP concentration gradient in the bulk solution, and the remaining 80% probably occurs in the submembrane space.
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Affiliation(s)
- A Y Kabakov
- Department of Physiology, University of Texas, Southwestern Medical Center at Dallas, Dallas, Texas 75235 USA.
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Abstract
1. Electrophysiological experiments on single myocytes obtained from Purkinje fibres and ventricular tissue of adult rabbit hearts were done to compare the contributions of three potassium (K+) currents to the action potentials in these two tissues. 2. In Purkinje cells reductions in extracellular potassium, [K+]o, from normal (5.4 mM) to 2.0 mM resulted in a large hyperpolarization and marked lengthening of the action potential. In ventricular myocytes, these changes were much less pronounced. Voltage clamp measurements demonstrated that these differences were mainly due to a much smaller inward rectifier K+ current, IK1, in Purkinje cells than in ventricular myocytes. 3. Application of 4-aminopyridine (4-AP, 2 mM) showed that all Purkinje cells exhibited a very substantial Ca2+-independent transient K+ outward current, It. 4-AP significantly broadened the early, rapid repolarization phase of the action potential. 4. Selective inhibitors of the fast component, IK, r (MK-499, 200 nM) and the slow component IK,s (L-735821 (propenamide), 20 nM) of the delayed rectifier K+ currents both significantly lengthened the action potential, suggesting that these conductances are present, but very small (< 20 pA) in Purkinje cells. Attempts to identify time- and voltage-dependent delayed rectifier K+ current(s) in Purkinje cells failed, although a slow delayed rectifier was observed in ventricular myocytes. 5. These results demonstrate significant differences in action potential waveform, and underlying K+ currents in rabbit Purkinje and ventricular myocytes. Purkinje cells express a much smaller IK1, and a larger It than ventricular myocytes. These differences in current densities can explain some of the most important electrophysiological properties of these two tissues.
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Affiliation(s)
- J M Cordeiro
- Department of Physiology and Biophysics, University of Calgary School of Medicine, Calgary, Alberta, Canada
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Trotier D, Døving KB. Direct influence of the sodium pump on the membrane potential of vomeronasal chemoreceptor neurones in frog. J Physiol 1996; 490 ( Pt 3):611-21. [PMID: 8683461 PMCID: PMC1158700 DOI: 10.1113/jphysiol.1996.sp021171] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023] Open
Abstract
1. Whole-cell measurements were made from microvillous receptor neurones isolated from the frog vomeronasal organ. We examined the mechanisms that determined the value of the resting membrane potential. 2. Cells recorded in Ringer solution containing 4 mM K+ showed a resting membrane potential of -88 +/- 20 mV (mean +/- 1 S.D., n = 56). Sixty-six per cent of the cells had stable resting potentials more negative than the calculated equilibrium potentials for K+ (EK, -82 mV) indicating the presence of a hyperpolarizing outward pump current. 3. Cells recorded with an intracellular solution containing Na+ instead of K+, to set EK at 0 mV, presented stable membrane potentials in the range -65 to -119 mV when bathed in a normal Ringer solution. 4. Ouabain, a specific inhibitor of the Na+,K(+)-ATPase, blocked the outward sodium pump current (Ip) and depolarized the membrane. 5. The sodium pump current, measured as the current blocked by 0.5 mM dihydro-ouabain, was linearly related to the membrane potential in the range -60 to -120 mV. The reversal potential measured with a calculated free energy of ATP hydrolysis of -36.2 kJ mol-1 was estimated to be -143 mV. 6. Reduction of the external K+ concentration to 0 mM depolarized the membrane to less than -40 mV. Voltage-clamp observations in this condition indicated a reduction of Ip. Ouabain added to the bath reduced the blocking effect of low external K+. The addition of external K+ activated Ip and induced a rapid hyperpolarization of the cell membrane. 7. At membrane potentials more negative than -80 mV, an inward rectifying depolarizing current characterized as Ih was activated. When Ih was blocked by 5 mM external Cs+ the resting membrane potential increased. 8. These data indicate that the membrane potential of the vomeronasal receptor neurones is not generated by a passive diffusion of K+ ions but by the hyperpolarizing current created by the Na+,K(+)-ATPase. We propose that the resting potential is set by a balance between Ip and Ih. The physiological implications of these mechanisms for setting the resting potential are discussed.
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Affiliation(s)
- D Trotier
- Neurobiologie Sensorielle, Ecole Pratique des Hautes Etudes, Massy, France
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Glitsch HG, Schwarz W, Tappe A, Tierney R, Wilson S, Young L. Cardiac Na+ pump current-voltage relationships at various transmembrane gradients of the pumped cations. BIOCHIMICA ET BIOPHYSICA ACTA 1996; 1278:137-46. [PMID: 8593270 DOI: 10.1016/0005-2736(95)00223-5] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Abstract
Thermodynamic considerations predict changes of the Na+ pump current (Ip)-voltage (V) relationship of animal cells upon variations of the electrochemical gradients against which cations must be pumped. Experimental data in support of the predictions are sparse. Therefore, the effect on the Ip-V relationship of various electrochemical gradients for pumped Na+ and Cs+ was studied at constant deltaGATP (approximately -39kJ/mol in cardioballs from sheep Purkinje fibres. Control of the subsarcolemmal ionic concentrations during whole-cell recording was ensured by activation of Ip below its half maximal activity or by measuring the initial Ip following reactivation of the Na+/K+ pump. With gradients close to physiological conditions Ip was outward over the entire voltage range and the Ip-V relationship showed a maximum near zero potential. Steepening the ionic gradients diminished the Ip amplitude and outward pump current was no longer detectable between -65 mV and -110 mV. Flattened ionic gradients increased the Ip amplitude and shifted apparently the reversal potential Erev to more negative values. These changes are in line with theoretical considerations. The measured Ip-V relationships were fitted by curves computed on the basis of a simplified Post-Albers scheme of Na+/Cs+ pumping. The increased Ip amplitude at flat ionic gradients was due to a decrease of [Cs+]o for half maximal Ip activation. The maximal Ip amplitude remained unaffected
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Affiliation(s)
- H G Glitsch
- Arbeitsgruppe Muskelphysiologie, Ruhr-Universitat, Bochum, Germany
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