Electrical properties and transmembrane ion currents of single smooth-muscle cells

Current and voltage clamp investigations of freshly isolated smooth muscle cells from guinea-pig ileum and taenia coli were performed using single suction micropipette technique. Specific membrane capacity of smooth muscle cells was calculated and accounted for 1.6 microF/cm2, with specific resistance varying from 50 to 150 k omega X cm2. Transmembrane currents consisted of two inward components, inactivating and noninactivating ones, carried by Ca2+ ions, overlapping with early activated potassium outward current. Time constant of inward current activation was not only voltage-sensitive but also ion-dependent. When Ca2+ ions in Krebs solution were replaced by Ba2+, both the rate of activation and inactivation of inward current were significantly reduced. Estimation of intracellular Ca2+ concentration increase has indicated that inward calcium current transports enough Ca2+ for direct contraction activation.     

Compensation for resistance in series with excitable membranes.

Extracellular resistance in series (Rs) with excitable membranes can give rise to significant voltage errors that distort the current records in voltage-clamped membranes. Electrical methods for measurement of and compensation for such resistances are described and evaluated. Measurement of Rs by the conventional voltage jump in response to a current step is accurate but the measurement of sine-wave admittance under voltage-clamp conditions is better, having about a fivefold improvement in resolution (+/- 0.1 omega cm2) over the conventional method. Conventional feedback of the membrane current signal to correct the Rs error signal leads to instability of the voltage clamp when approximately two-thirds of the error is corrected. We describe an active electronic bridge circuit that subtracts membrane capacitance from the total membrane current and allows full, yet stable, compensation for the voltage error due to ionic currents. Furthermore, this method provides not only fast and accurate control of the membrane potential in response to a command step, but also fast recovery following an abrupt change in the membrane conductance. Marked changes in the kinetics and amplitude of ionic currents resulting from full compensation for Rs are shown for several typical potential patterns.     

Electrophysiological properties of isolated rat liver cells

The electrophysiological properties of isolated rat liver cells were studied using the patch clamp method in whole-cell configuration. The membrane potential in isolated hepatocytes was -42 +/- 7 mV (n = 20). The input resistance (Rin) and the time constant (tau m) were 51 +/- 17 M (the range of 34 to 180 M omega) (n = 20) and 4.2 +/- 1.0 msec (the range of 3 to 16.5 ms) (n = 20). Assuming that the specific membrane capacitance is 1 microF/cm2, the membrane resistance and membrane capacitance were 42. +/- 9.0 K omega cm2 and 87 +/- 27 pF. These values indicate that isolated rat hepatocytes are not abnormally permeable or leaky. The current-voltage relationship was linear with no rectification. The depolarizing pulse from the resting potential did not induce fast or slow inward currents even when norepinephrine or high Ca2 (3.6 mM) were applied. This indicates that there is no voltage-sensitive Ca2+ channel in the isolated hepatocytes.     

Voltage clamp simulations for multifiber bundles in a double sucrose gap: cable complications

A theoretical model is presented for voltage clamp of a bundle of cylindrical excitable cells in a double sucrose gap. The preparation in the test node is represented by a single one-dimensional cable (length/diameter ratio approximately) with standard Hodgkin-Huxley kinetics for transmembrane Na current. Imperfections of voltage control due to internal (longitudinal) resistivity and external (radial) resistance in series to the membrane are analysed. The electrical behavior of a fiber is described by the cable equation with appropriate boundary conditions and subsidiary equations reflecting the membrane characteristics. Membrane voltage and current distribution in response to a step command was obtained by numerical integration. The results are described in two papers. The present paper deals with the effect of internal resistivity with the external resistance being neglected. The closed loop response of a fiber displays a strong tendency to oscillate. To stabilize the system a phase lead was inserted and the gain of the control amplifier was reduced. Conditions for stability were examined by Nyquist analysis. When the Na system was activated by a command pulse below ENa, a voltage gradient developed between a depolarization (relative to the command signal) at the end where voltage was monitored and a hyperpolarization at the site of current injection. In spite of a poor voltage control the total measured current appeared to have a smooth transient. With large voltage gradients a small, second inward current was seen. At a low (high) Na conductance maximum peak inward current was larger (smaller) that the current expected from ideal space clamping.     

Influence of intercellular clefts on potential and current distribution in a multifiber preparation.

A theoretical model is presented for current and voltage clamp of multifiber bundles in a double sucrose gap. Attention is focused on methodological errors introduced by the intercellular cleft resistance. The bundle is approximated by a continuous geometry. Voltage distribution, as a function of radial distance and time, is defined by a parabolic partial differential equation which is specified for different membrane characteristics. Assuming a linear membrane, analytical solutions are given for current step and voltage step conditions. The theoretical relations (based on Bessel functions) may be used to calculate membrane conductance and capacity from experimental clamp data. The case of a nonlinear membrane with standard Hodgkin-Huxley kinetics for excitatory Na current is treated assuming maximum Na conductances (gNa) of 120, 10, and 1 mmho/cm2. Numerical simulations are presented for potential and current distribution in a bundle of 60 microns diameter during depolarizing voltage steps. Adequate voltage control is restricted to the peripheral fibers of the bundle whereas the membrane potential of the inner fibers deviates from the command level during early inward current, tending to the Na equilibrium potential. In the peak current-voltage diagram the loss of voltage control is reflected by an increased steepness of the negative region and a decreased slope conductance of the positive region. With gNa = 120 mmho/cm2, the positive slope conductance is approximately 25% of the slope expected from ideal space clamping. With the lower values of gNa, the slope conductance ratio is in the order of 50%. Implications of the results for an experimental voltage clamp analysis of early inward current on multifiber preparations are discussed.     

Osmotic and pharmacological effects of formamide on capacity current, gating current, and sodium current in crayfish giant axons.

Internal perfusion with solutions made hyperosmolar by 10% formamide selectively reduces the initial fast component of ON gating current (fast Ig) in crayfish axons. This result parallels the effects of formamide perfusion seen in Myxicola giant axons (Schauf, C. L., and M. A. Chuman. 1986. Neural Membranes. Alan R. Liss, Inc., New York. 3-23). However, our findings do not confirm their conclusion that internal formamide has a specific pharmacological effect on fast Ig. Formamide-induced suppression of fast Ig is always associated with changes in linear capacity current, indicating a reduction in the rate of rise of the voltage clamp. Furthermore, this suppression of fast Ig can be reversed when clamp rise time is returned to its control rate by increasing compensation for series resistance (Rs) during formamide perfusion. Increases in Rs during 10% formamide perfusion of up to 5 omega.cm2 were measured by evaluating the increase in Rs compensation required to return the following parameters to their control levels: (a) peak capacity current, (b) peak gating current, (c) the voltage maximum of the /Na-V curve, and (d) "tau h". We conclude that hyperosmolar internal formamide increases Rs, reduces clamp speed, and thus selectively suppresses fast Ig. On the other hand, the reversible block of sodium ionic current by internal formamide, reported by Schauf and Chuman, is not eliminated by correcting for series resistance changes during formamide perfusion.     

Voltage clamp of the cardiac sodium current at 37 degrees C in physiologic solutions.

The cardiac sodium current was studied in guinea pig ventricular myocytes using the cell-attached patch voltage clamp at 37 degrees C in the presence of 145 mM external sodium concentration. When using large patch pipettes (access resistance, 1-2 M omega), the capacity current transient duration was typically 70 microseconds for voltage clamp steps up to 150 mV. At 37 degrees C the maximum inward sodium current peaked in approximately 200 microseconds after the onset of a clamp step and at this strong depolarization, less than 10% of the sodium current developed during the capacity transient. The sodium current developed smoothly and the descending limb of the current-voltage relationship usually spanned a range of 40 mV. Moreover, currents reduced by inactivation of sodium channels could be scaled to superimpose on the maximum current. Current tails elicited by deactivation followed a monoexponential time course that was very similar for currents of different sizes. Data obtained over a range of temperatures (15 degrees-35 degrees C) showed that the steady-state inactivation and conductance-voltage curves were shifted to more negative voltages at lower temperatures. These results demonstrate the feasibility of investigating the sodium current of mammalian cardiac cells at 37 degrees C in normal physiological solutions.     

An optical determination of the series resistance in Loligo

The resistance in series with the membrane capacitance in the giant axon of the squid Loligo pealei was measured using potentiometric probes that exhibit absorbance changes proportional to the voltage across the plasma membrane proper. The method relies upon the fact that a voltage drop across the series resistance produces a deviation in the true transmembrane voltage from that imposed by a voltage clamp. Optical measurement of the true transmembrane potential, together with electrical measurement of the ionic current, permits the immediate determination of the series resistance by Ohm's law. An alternative method monitored the amount of electronic series resistance compensation required to force the optical signal to match the shape of the reference potential. The value of the series resistance measured in artificial seawater was 3.78 +/- 0.95 omega X cm2. The estimated value of the contribution of the Schwann cell layer to the series resistance was 2.57 +/- 0.89 omega X cm2.     

An improved vaseline gap voltage clamp for skeletal muscle fibers

A Vaseline gap potentiometric recording and voltage clamp method is developed for frog skeletal muscle fibers. The method is based on the Frankenhaeuser-Dodge voltage clamp for myelinated nerve with modifications to improve the frequency response, to compensate for external series resistance, and to compensate for the complex impedance of the current-passing pathway. Fragments of single muscle fibers are plucked from the semitendinosus muscle and mounted while depolarized by a solution like CsF. After Vaseline seals are formed between fluid pools, the fiber ends are cut once again, the central region is rinsed with Ringer solution, and the feedback amplifiers are turned on. Errors in the potential and current records are assessed by direct measurements with microelectrodes. The passive properties of the preparation are simulated by the "disk" equivalent circuit for the transverse tubular system and the derived parameters are similar to previous measurements with microelectrodes. Action potentials at 5 degrees C are long because of the absence of delayed rectification. Their shape is approximately simulated by solving the disk model with sodium permeability in the surface and tubular membranes. Voltage clamp currents consist primarily of capacity currents and sodium currents. The peak inward sodium current density at 5 degrees C is 3.7 mA/cm2. At 5 degrees C the sodium currents are smoothly graded with increasing depolarization and free of notches suggesting good control of the surface membrane. At higher temperatures a small, late extra inward current appears for small depolarizations that has the properties expected for excitation in the transverse tubular system. Comparison of recorded currents with simulations shows that while the transverse tubular system has regenerative sodium currents, they are too small to make important errors in the total current recorded at the surface under voltage clamp at low temperature. The tubules are definitely not under voltage clamp control.     

A cleft model for cardiac Purkinje strands.

Conduction of the action potential in cardiac muscle is complicated by its multicellular structure, with narrow intercellular clefts and cell-to-cell coupling. A model is developed from anatomical data to describe cardiac Purkinje strands of variable diameter and different internal arrangements of cells. The admittance of the model is solved analytically and fit to results of cable analysis. Using the extracted specific membrane and cell electrical parameters (Rm = 13 K omega cm2, Cm = 1.5 mu F/cm2, Ri = 100 mu cm, and Re = 50 omega cm), the model correctly predicted conduction velocity and filling of capacitance at the onset of a voltage step. The analysis permits more complete studies of the factors controlling conduction velocity; for instance, the effect on conduction velocity of a capacity in the longitudinal current circuit is discussed. Predictions of the impedance and phase angle were also made. Measurements of the frequency dependence of phase angle may provide a basis for separating cleft membrane properties from those of the surface membrane and may aid the measurement of nonlinear membrane properties in muscle.     

Analysis of Certain Errors in Squid Axon Voltage Clamp Measurements

Localized membrane current and potential measurements were made on the squid giant axon in voltage clamp experiments. Spatial control of potential was impaired by the use of axial current supplying electrodes with surface resistance greater than 20 ohms for a centimeter length of axon. No region of membrane which was indeed subjected to a potential step showed more than one inward current peak. Other patterns were results of space clamp failure. Membrane current and potential patterns during space clamp failure were approximately reproduced in computations on a model containing two membrane patches obeying the equations of Hodgkin and Huxley. Non-uniformities in the axon or electrodes are not necessary for non-uniform electrical behavior. An extension of the core conductor model which includes the axial wire and external solution has been analyzed. The space constant of electrotonic spread is less than 0.5 mm with a usable electrode. Errors of about 5 per cent are introduced by ignoring the external solution. Resistance between the membrane and the control electrodes reduces the control and a few ohm cm² could lead to serious errors in interpretation.     

Estimation of the junctional resistance between electrically coupled receptor cells in Necturus taste buds

Junctional resistance between coupled receptor cells in Necturus taste buds was estimated by modeling the results from single patch pipette voltage clamp studies on lingual slices. The membrane capacitance and input resistance of coupled taste receptor cells were measured to monitor electrical coupling and the results compared with those calculated by a simple model of electrically coupled taste cells. Coupled receptor cells were modeled by two identical receptor cells connected via a junctional resistance. On average, the junctional resistance was approximately 200-300 M omega. This was consistent with the electrophysiological recordings. A junctional resistance of 200-300 M omega is close to the threshold for Lucifer yellow dye-coupling detection (approximately 500 M omega). Therefore, the true extent of coupling in taste buds might be somewhat greater than that predicted from Lucifer yellow dye coupling. Due to the high input resistance of single taste receptor cells (> 1 G omega), a junctional resistance of 200-300 M omega assures a substantial electrical communication between coupled taste cells, suggesting that the electrical activity of coupled cells might be synchronized.     

Giant smooth muscle cells of Beroe. Ultrastructure, innervation, and electrical properties

Beroe muscle fibers are single cells which may be 20-40 micrometer in diameter in mature specimens. Longitudinal muscles may be 6 cm or more long. There is no striation pattern and the muscles were observed to contract in a tonic fashion when stretched. They are innervated by a nerve net, and external recording revealed what are probably nerve net impulses. Intracellular stimulation of the muscles themselves was found to initiate large propagating action potentials which were recorded intracellularly. The action potentials were insensitive to tetrodotoxin (10(-5) g/ml), tetraethylammonium ions (50 mM), MnCl2 (25 mM), and low concentrations of verapamil (2 X 10(-6) g/ml). Full-size action potentials were recorded in sodium- or calcium-deficient salines, but were small and graded in salines deficient in both sodium and calcium. Cable analysis yielded mean values for lambda (1.95 mm), Ri (154 omega cm), Rm (9,253 omega cm2), and tau m (13.9 ms). The conduction velocity depended primarily on fiber diameter and maximum rate of rise of the action potential and could be predicted from the theoretical analysis of Hunter et al. (1975 Prog. Biophys. Mol. Biol. 30: 99-144). The calculated membrane capacity (less than microF/cm2) indicates little infolding of the surface membrane, a conclusion which is in agreement with anatomical studies.     

Fertilization potential and electrical properties of the Xenopus laevis egg

The membrane potential of Xenopus eggs was monitored continuously from prior to fertilization until early cleavage. A rapid decay of the initial potential of -33.1 +/- 8.1 (SD) mV (N = 14) upon impalement to a value of -19.3 +/- 4.2 (SD) mV (N = 68) suggested that insertion of the first electrode caused depolarization. Outward and inward rectification were observed when the resting potential was made more positive than about 5 mV or more negative than about -30 mV. Eggs were not activated by this level of current injection. Fertilization and activation evoked a membrane depolarization which was influenced by the external Cl- concentration, the nature of the halide species, and 4,4-diisothiocyanostilbene-2,2-disulfonic acid. Smaller transient depolarizations were associated with the initial stages of the fertilization potential but not with activation. Only when the fertilization potential was significantly diminished, as in high external Cl- or in the presence of Br- or I- solutions did polyspermy ensue. The input resistance of the unfertilized egg was 13.2 +/- 9.8 M omega (N = 26) and decreased about 200-fold at the peak of the fertilization potential to 0.077 +/- 0.020 M omega (N = 9). Ninety minutes after the onset of the fertilization potential and about 6 min after the start of furrow formation the membrane began a series of cleavage cycle-associated hyperpolarizations. These were unaffected by either the external Cl- concentration or other halide species. Reduction in amplitude of the fertilization potential had no apparent effect upon the normal elevation of the fertilization envelope or upon cleavage and later development. The fast electrical block to polyspermy appears to have a lower threshold in Xenopus compared with other species and is also effective at negative membrane potentials.     

Changes in electrical properties of muscle membrane systems during decoupling and recoupling induced by glycerol.

In isolated muscle fibres of the frog and of the crayfish the following electrical parameters were determined during the glycerol procedure from the voltage transients at 20 degrees C: the sarcoplasmic resistivity, Ri; the membrane resistance, Rm; the series tubular resistance, Rs; the surface membrane capacity, Cm; the tubular membrane capacity CT. No significant changes were found in fibres equilibrated with glycerol (G) saline. During the washout of glycerol only Ri and Cm remained unchanged. In reversibly decoupled crayfish fibres (300 mM-G) CT decreased to 70%, Rs increased to 175% and Rm increased to 200% of the control values. The changed parameters returned to control values upon reapplication of glycerol. In irreversibly decoupled fibres (500 and 600 mM-G) the changes in CT and Rs were more pronounced; and Rm was decreased. The resting potential remained constant with few mV. In frog fibres the changes in electrical parameters were in the same direction except the decrease of Rm during reversible decoupling (150 mM-G). The corresponding changes in reversible and irreversibly (300 mM-G) detubulated fibres were as follows: CT--60 (80) %; Rs--10 (14) times; Rm--50 (35) %.     

Receptor Ca current and Ca-gated K current in tonic electroreceptors of the marine catfish Plotosus

The tonic electroreceptors of the marine catfish Plotosus consist of a cluster of ampullae of sensory epithelia, each of which is an isolated receptor unit that is attached to the distant skin with only a long duct. The single-cell layered sensory epithelium has pear-shaped receptor cells interspersed with thin processes of supporting cells. The apical border of the receptor cells is joined to the supporting cells with junctional complexes. Single ampullae were excised and electrically isolated by an air gap. Receptor responses were recorded as epithelial current under voltage clamp, and postsynaptic potentials (PSP) were recorded externally from the afferent nerve in the presence of tetrodotoxin. The ampulla showed a DC potential of -19.2 +/- 6.5 mV (mean +/- SD, n = 18), and an input resistance of 697 +/- 263 K omega (n = 21). Positive voltage steps evoked inward currents with two peaks and a positive dip, associated with PSPs. The apical membrane proved to be inactive. The inward current was ascribed to Ca current, and the positive dip to Ca-gated transient K current, bot in the basal membrane of receptor cells. The Ca channels proved to have ionic selectivity in the order of Sr2+ greater than Ca2+ greater than Ba2+, and presumably they also passed outward current nonselectively. Double-pulse experiments further revealed a current-dependent inactivation for a part of the Ca current.     

Electrical resistance of muscle capillary endothelium.

A recently developed technique for in vivo determination of the electrical resistance of vascular endothelium in microvessels was applied to the vessels in a thin frog muscle, m. cutaneus pectoris. The technique consists of injection of current via a glass micropipette into a capillary and measurement of the resulting intra- and extravascular potential profiles with another micropipette placed at various distances from the current source. The theory of Peskoff and Eisenberg (1974) was used to handle the problems arising from distributed extravascular resistances and was experimentally shown to describe the external field satisfactorily. With this extension of one-dimensional cable theory the specific electrical resistance of arterial microvessels was 33 omega cm2 and of venous capillaries 23 omega cm2. The "length constants" were 135 and 112 micrometers, respectively. If results from arterial and venous vessels are taken together, the ionic permeabilities at 20 degrees C were PNa = 3.9 X 10(-5) cm X s-1, PK = 5.7 X 10(-5) cm X s-1, PCl = 5.9 X 10(-5) cm X s-1 and PHCO3 = 3.4 X 10(-5) cm X s-1. These figures agree with figures for capillary permeability obtained in tracer experiments on whole muscle. The study bridges a gap between single capillary and whole organ techniques with the conclusion that the two different approaches lead to similar results in muscle capillaries.     

Evidence for Ca2+ control of the transducer mechanism in crayfish stretch receptor.

Recording from the dendrite membrane indicated a resting potential of --51.6 mV, which was reduced by inhibition of the Na+/K+ pump. Voltage clamp at rest revealed a small inward current between --50 and --80 mV and a larger outward current at clamp potentials of --40 to plus 30 mV. Using ramp-changes of muscle tension as stimuli a time-variant tension-induced inward current (TIC) became apparent, the amplitude of which decreased towards larger depolarizing voltages until at plus 18 mV the current reversed the direction. The time course of the conductance changes corresponds to similar phases in the generator potential. The outward current only responded to fast reductions in tension, decreasing transiently. A contribution of the active Na+/K+ pump to the hyperpolarizing potential response is suggested by the effects of K-removal or Na-substitution by Li+. In Na-free choline chloride media the generator potential and the TIC was depressed by 70-85%. Additional removal of Ca2+ abolished the TIC. In contrast, lowering the Ca2+ level in presence of Na+ decreased the membrane resistance and markedly enhanced the TIC (maximally eightfold at 10(-5) M Ca2+) while 75-150 mM Ca2+ or intracellular application of a Ca-ionophore had the reverse effect.     

Whole-Cell K+ Currents across the Plasma Membrane of Tobacco Protoplasts from Cell-Suspension Cultures

The whole-cell configuration of the patch clamp technique was used to study both outward and inward ion currents across the plasma membrane of tobacco (Nicotiana tabacum) protoplasts from cell-suspension cultures. The ion currents across the plasma membrane were analyzed by the application of stepwise potential changes from a holding potential or voltage ramps. In all protoplasts, a voltage- and time-dependent outward rectifying current was present. The conductance increased upon depolarization of the membrane potential (to >0 mV) with a sigmoidal time course. The reversal potential of the outward current shifted in the direction of the K+ equilibrium potential upon changing the external K+ concentration. The outward current did not show inactivation. In addition to the outward rectifying current, in about 30% of the protoplasts, a time- and voltage-dependent inward rectifying current was present as well. The inward rectifying current activated upon hyperpolarization of the membrane potential (<-100 mV) with an exponential time course. The reversal potential of the inward conductance under different ionic conditions was close to the K+ equilibrium potential.