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Parker JR, Ramirez JM. Differentiating the contributions of Na +/K + pump current and persistent Na + current in simulated voltage-clamp experiments. J Neurophysiol 2025; 133:904-923. [PMID: 39819130 DOI: 10.1152/jn.00060.2024] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/08/2024] [Revised: 02/26/2024] [Accepted: 12/20/2024] [Indexed: 01/19/2025] Open
Abstract
The persistent Na+ current (INaP) is thought to play important roles in many brain regions including the generation of inspiration in the ventral respiratory column (VRC) of mammals. The characterization of the slow inactivation of INaP requires long-lasting voltage steps (>1 s), which will increase intracellular Na+ and activate the Na+/K+-ATPase pump current (IPump). Thus, IPump may contribute to the previously measured slow inactivation of INaP and the generation of the inspiratory bursting rhythm. To test this hypothesis, we computationally modeled a respiratory pacemaker neuron that included a noninactivating INaP and IPump in addition to other basic spike-generating currents. This model produces an inspiration-like bursting rhythm, in which the dynamics of [Na+]i account for burst initiation and termination. We simulated a voltage-clamp experiment measuring the INaP inactivation kinetics using our model of noninactivating INaP and IPump. Consistent with prior measurements in the VRC, we found a sigmoidal inactivation curve and a current that only partially inactivated reaching a minimum inactivation of 0.37. The biexponential time course of inactivation had decay rate constants of 0.45 s and 2.33 s with contributions of 49% and 51%, respectively. The time constant of inactivation was 2.16 s. This decay was caused by the slow growth of IPump and the slow hyperpolarization of the Na+ reversal potential in response to the growing [Na+]i. We conclude that important biophysical properties previously attributed to the INaP may be caused by IPump. This has important implications for understanding respiratory rhythmogenesis and other neuronal functions.NEW & NOTEWORTHY The slow inactivation of the persistent Na+ current has been implicated in numerous neuronal functions. Our computational approach indicates that voltage-clamp experiments may show a slow inactivation that is actually caused by the Na+/K+ pump current and a changing Na+ reversal potential rather than a slow Na+ inactivation process. These results call into question to what extent the slow inactivation of the persistent Na+ current is solely important for neuronal functions.
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Affiliation(s)
- Jessica R Parker
- Center for Integrative Brain Research, Seattle Children's Research Institute, Seattle, Washington, United States
| | - Jan-Marino Ramirez
- Center for Integrative Brain Research, Seattle Children's Research Institute, Seattle, Washington, United States
- Department of Neurological Surgery, School of Medicine, University of Washington, Seattle, Washington, United States
- Department of Pediatrics, School of Medicine, University of Washington, Seattle, Washington, United States
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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: 0.7] [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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Hosoi K, Min KY, Iwagaki A, Murao H, Hanafusa T, Shimamoto C, Katsu KI, Kato M, Fujiwara S, Nakahari T. Delayed shrinkage triggered by the Na+-K+pump in terbutaline-stimulated rat alveolar type II cells. Exp Physiol 2004; 89:373-85. [PMID: 15123552 DOI: 10.1113/expphysiol.2003.026617] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
Terbutaline (10 microm) induced a triphasic volume change in alveolar type II (AT-II) cells: an initial shrinkage (initial phase) followed by cell swelling (second phase) and a gradual shrinkage (third phase). The present study demonstrated that the initial and the third phases are evoked by the activation of K+ and Cl- channels and the second phase is evoked by the activation of Na+ and Cl- channels. Ouabain blocked the third phase, although it did not block the initial and second phases. This suggests that the third phase is triggered by the Na+-K+ pump. Tetraethylammonium (TEA, a K+ channel blocker) decreased the volume of AT-II cells and enhanced the terbutaline-stimulated third phase, although quinidine, another K+ channel blocker, increased the volume of AT-II cells. The TEA-induced cell shrinkage was inhibited by ouabain, suggesting that TEA increases Na+-K+ pump activity. Ba2+, 2,3-diaminopyridine and a high [K+]o (30 mm) similarly decreased the volume of AT-II cells. These findings suggest that depolarization induced by TEA increases Na+-K+ pump activity, which increases [K+]i. This [K+]i increase, in turn, hyperpolarizes membrane potential. Valinomycin (a K+ ionophore), which induces hyperpolarization, decreased the volume of AT-II cells and enhanced the third phase in these cells. In conclusion, in terbutaline-stimulated AT-II cells, an increase in Na+-K+ pump activity hyperpolarizes the membrane potential and triggers the third phase by switching net ion transport from NaCl entry to KCl release.
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Affiliation(s)
- Keita Hosoi
- Department of Physiology, Osaka Medical College, Takatsuki, 569-8686, Japan
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Chen N, Reith MEA. Interaction between dopamine and its transporter: role of intracellular sodium ions and membrane potential. J Neurochem 2004; 89:750-65. [PMID: 15086531 DOI: 10.1111/j.1471-4159.2004.02409.x] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
Abstract
The present study addresses the effect of intracellular Na(+) and membrane potential on the binding of dopamine (DA) to the dopamine transporter (DAT). Perforation of plasma membranes of DAT-expressing cells with gramicidin diminished DA uptake and decreased the potency (increases K(i)) of DA in inhibiting the binding of cocaine analog [(3)H]2beta-carbomethoxy-3beta-(4-fluorophenyl)tropane (CFT). It also compromised the ability of external Na(+) to reduce DA K(i). No substantial effect on DA K(i) was observed upon gramicidin treatment in Na(+)-free buffer, membrane depolarization with high [K(+)](o), or elevation of [Na(+)](i) with monensin under non-depolarizing conditions. Elevation of DA K(i) was greater at more positive potentials when [Na(+)](i) was raised to a similar level, or at higher [Na(+)](i) when the membrane was depolarized to a similar level. In cells expressing D313N DAT, DA K(i) was significantly higher but less sensitive to gramicidin than that in wild-type (WT) cells. In contrast, DA K(i) in cell-free membranes was insensitive to Na(+), gramicidin, and D313N mutation. The data suggest that (i) intracellular Na(+) plays a role in affecting the external access to DA binding sites at DAT on depolarized plasma membranes of cells, and (ii) access to DA binding sites in cell-free membranes may occur from the intracellular side of the membrane. Unlike DA binding, CFT binding to both cells and membranes was sensitive to Na(+) and D313N mutation but insensitive to gramicidin, consistent with exclusively external access to sites that are different from but conformationally linked to those for DA.
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Affiliation(s)
- Nianhang Chen
- Department of Psychiatry, New York University School of Medicine, New York, New York, USA.
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Hansen PS, Buhagiar KA, Kong BY, Clarke RJ, Gray DF, Rasmussen HH. Dependence of Na+-K+ pump current-voltage relationship on intracellular Na+, K+, and Cs+ in rabbit cardiac myocytes. Am J Physiol Cell Physiol 2002; 283:C1511-21. [PMID: 12372812 DOI: 10.1152/ajpcell.01343.2000] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
To examine effects of cytosolic Na+, K+, and Cs+ on the voltage dependence of the Na+-K+ pump, we measured Na+-K+ pump current (Ip) of ventricular myocytes voltage-clamped at potentials (Vm) from 100 to +60 mV. Superfusates were designed to eliminate voltage dependence at extracellular pump sites. The cytosolic compartment of myocytes was perfused with patch pipette solutions with a Na+ concentration ([Na]pip) of 80 mM and a K+ concentration from 0 to 80 mM or with solutions containing Na+ in concentrations from 0.1 to 100 mM and K+ in a concentration of either 0 or 80 mM. When [Na]pip was 80 mM, K+ in pipette solutions had a voltage-dependent inhibitory effect on Ip and induced a negative slope of the Ip-Vm relationship. Cs+ in pipette solutions had an effect on Ip qualitatively similar to that of K+. Increases in Ip with increases in [Na]pip were voltage dependent. The dielectric coefficient derived from [Na]pip-Ip relationships at the different test potentials was 0.15 when pipette solutions included 80 mM K+ and 0.06 when pipette solutions were K+ free.
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Affiliation(s)
- Peter S Hansen
- Department of Cardiology, Royal North Shore Hospital, St. Leonards, NSW 2065, Australia
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Arystarkhova E, Donnet C, Asinovski NK, Sweadner KJ. Differential regulation of renal Na,K-ATPase by splice variants of the gamma subunit. J Biol Chem 2002; 277:10162-72. [PMID: 11756431 DOI: 10.1074/jbc.m111552200] [Citation(s) in RCA: 67] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023] Open
Abstract
Sodium and potassium-exchanging adenosine triphosphatase (Na,K-ATPase) in the kidney is associated with the gamma subunit (gamma, FXYD2), a single-span membrane protein that modulates ATPase properties. Rat and human gamma occur in two splice variants, gamma(a) and gamma(b), with different N termini. Here we investigated their structural heterogeneity and functional effects on Na,K-ATPase properties. Both forms were post-translationally modified during in vitro translation with microsomes, indicating that there are four possible forms of gamma. Site-directed mutagenesis revealed Thr(2) and Ser(5) as potential sites for post-translational modification. Similar modification can occur in cells, with consequences for Na,K-ATPase properties. We showed previously that stable transfection of gamma(a) into NRK-52E cells resulted in reduction of apparent affinities for Na(+) and K(+). Individual clones differed in gamma post-translational modification, however, and the effect on Na(+) affinity was absent in clones with full modification. Here, transfection of gamma(b) also resulted in clones with or without post-translational modification. Both groups showed a reduction in Na(+) affinity, but modification was required for the effect on K(+) affinity. There were minor increases in ATP affinity. The physiological importance of the reduction in Na(+) affinity was shown by the slower growth of gamma(a), gamma(b), and gamma(b') transfectants in culture. The differential influence of the four structural variants of gamma on affinities of the Na,K-ATPase for Na(+) and K(+), together with our previous finding of different distributions of gamma(a) and gamma(b) along the rat nephron, suggests a highly specific mode of regulation of sodium pump properties in kidney.
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Affiliation(s)
- Elena Arystarkhova
- Laboratory of Membrane Biology, Neuroscience Center, Massachusetts General Hospital, Charlestown, Massachusetts 02129, USA
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Despa S, Islam MA, Pogwizd SM, Bers DM. Intracellular [Na+] and Na+ pump rate in rat and rabbit ventricular myocytes. J Physiol 2002; 539:133-43. [PMID: 11850507 PMCID: PMC2290132 DOI: 10.1113/jphysiol.2001.012940] [Citation(s) in RCA: 104] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
Abstract
Intracellular [Na+] ([Na+]i) is centrally involved in regulation of cardiac Ca2+ and contractility via Na+-Ca2+ exchange (NCX) and Na+-H+ exchange (NHX). Previous work has indicated that [Na+]i is higher in rat than rabbit ventricular myocytes. This has major functional consequences, but the reason for the higher [Na+]i in rat is unknown. Here, resting [Na+]i was measured using the fluorescent indicator SBFI, with both traditional calibration and a novel null-point method (which circumvents many limitations of prior methods). In rabbit, resting [Na+]i was 4.5 +/- 0.4 mM (traditional calibration) and 4.4 mM (null-point). Resting [Na+]i in rat was significantly higher using both the traditional calibration (11.1 +/- 0.7 mM) and the null-point approach (11.2 mM). The rate of Na+ transport by the Na+ pump was measured as a function of [Na+]i in intact cells. Rat cells exhibited a higher V(max) than rabbit (7.7 +/- 1.1 vs. 4.0 +/- 0.5 mM x min(-1)) and a higher K(m) (10.2 +/- 1.2 vs. 7.5 +/- 1.1 mM). This results in little difference in pump activity for a given [Na+]i below 10 mM, but at measured resting [Na+]i levels the pump-mediated Na+ efflux is much higher in rat. Thus, Na+ pump rate cannot explain the higher [Na+]i in rat. Resting Na+ influx rate was two to four times higher in rat, and this accounts for the higher resting [Na+]i. Using tetrodotoxin, HOE-642 and Ni2+ to block Na+ channels, NHX and NCX, respectively, we found that all three pathways may contribute to the higher resting Na+ influx in rat (albeit differentially). We conclude that resting [Na+]i is higher in rat than in rabbit, that this is caused by higher resting Na+ influx in rat and that a higher Na+,K+-ATPase pumping rate in rat is a consequence of the higher [Na+]i.
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Affiliation(s)
- Sanda Despa
- Department of Physiology and Cardiovascular Institute, Loyola University Chicago, Maywood, IL 60153, USA
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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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Sejersted OM, Sjøgaard G. Dynamics and consequences of potassium shifts in skeletal muscle and heart during exercise. Physiol Rev 2000; 80:1411-81. [PMID: 11015618 DOI: 10.1152/physrev.2000.80.4.1411] [Citation(s) in RCA: 359] [Impact Index Per Article: 14.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022] Open
Abstract
Since it became clear that K(+) shifts with exercise are extensive and can cause more than a doubling of the extracellular [K(+)] ([K(+)](s)) as reviewed here, it has been suggested that these shifts may cause fatigue through the effect on muscle excitability and action potentials (AP). The cause of the K(+) shifts is a transient or long-lasting mismatch between outward repolarizing K(+) currents and K(+) influx carried by the Na(+)-K(+) pump. Several factors modify the effect of raised [K(+)](s) during exercise on membrane potential (E(m)) and force production. 1) Membrane conductance to K(+) is variable and controlled by various K(+) channels. Low relative K(+) conductance will reduce the contribution of [K(+)](s) to the E(m). In addition, high Cl(-) conductance may stabilize the E(m) during brief periods of large K(+) shifts. 2) The Na(+)-K(+) pump contributes with a hyperpolarizing current. 3) Cell swelling accompanies muscle contractions especially in fast-twitch muscle, although little in the heart. This will contribute considerably to the lowering of intracellular [K(+)] ([K(+)](c)) and will attenuate the exercise-induced rise of intracellular [Na(+)] ([Na(+)](c)). 4) The rise of [Na(+)](c) is sufficient to activate the Na(+)-K(+) pump to completely compensate increased K(+) release in the heart, yet not in skeletal muscle. In skeletal muscle there is strong evidence for control of pump activity not only through hormones, but through a hitherto unidentified mechanism. 5) Ionic shifts within the skeletal muscle t tubules and in the heart in extracellular clefts may markedly affect excitation-contraction coupling. 6) Age and state of training together with nutritional state modify muscle K(+) content and the abundance of Na(+)-K(+) pumps. We conclude that despite modifying factors coming into play during muscle activity, the K(+) shifts with high-intensity exercise may contribute substantially to fatigue in skeletal muscle, whereas in the heart, except during ischemia, the K(+) balance is controlled much more effectively.
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Affiliation(s)
- O M Sejersted
- Institute for Experimental Medical Research, University of Oslo, Ullevaal Hospital, Oslo, Norway.
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