Phase resetting of the rhythmic activity of embryonic heart cell aggregates. Experiment and theory.

Injection of a current pulse of brief duration into an aggregate of spontaneously beating chick embryonic heart cells resets the phase of the activity by either advancing or delaying the time of occurrence of the spontaneous beat subsequent to current injection. This effect depends upon the polarity, amplitude, and duration of the current pulse, as well as on the time of injection of the pulse. The transition from prolongation to shortening of the interbeat interval appears experimentally to be discontinuous for some stimulus conditions. These observations are analyzed by numerical investigation of a model of the ionic currents that underlie spontaneous activity in these preparations. The model consists of: Ix, which underlies the repolarization phase of the action potential, IK2, a time-dependent potassium ion pacemaker current, Ibg, a background or time-independent current, and INa, an inward sodium ion current that underlies the upstroke of the action potential. The steady state amplitude of the sum of these currents is an N-shaped function of potential. Slight shifts in the position of this current-voltage relation along the current axis can produce either one, two, or three intersections with the voltage axis. The number of these equilibrium points and the voltage dependence of INa contribute to apparent discontinuities of phase resetting. A current-voltage relation with three equilibrium points has a saddle point in the pacemaker voltage range. Certain combinations of current-pulse parameters and timing of injection can shift the state point near this saddle point and lead to an interbeat interval that is unbounded . Activation of INa is steeply voltage dependent. This results in apparently discontinuous phase resetting behavior for sufficiently large pulse amplitudes regardless of the number of equilibrium points. However, phase resetting is fundamentally a continuous function of the time of pulse injection for these conditions. These results demonstrate the ionic basis of phase resetting and provide a framework for topological analysis of this phenomenon in chick embryonic heart cell aggregates.     

An artificial membrane-cable: decay and delay of electrical potentials along a lipid bilayer with ion channels

A model membrane is described which exhibits the properties of a neurite with respect to passive propagation of electrical potentials. A groove in a glass plate is covered by a black lipid membrane of glycerol monooleate. Gramicidin is incorporated. The stationary and transient response of the assembly is tested by two experiments: (i) One end of the groove is clamped at a constant voltage. The voltage at the other end and the total electrical current are measured. (ii) A charge pulse is injected at one end of the groove. The time-dependent voltage at the other end is measured. The results with respect to the lateral decay and delay of voltage are in quantitative agreement with the stationary and transient solutions of Kelvin's equation for a homogeneous cable. If gramicidin is incorporated unevenly along the membrane, the lateral decay of voltage is found to be asymmetric with respect to both directions. The cable is a partial one-way transmission line.     

Probing kinetic drug binding mechanism in voltage-gated sodium ion channel: open state versus inactive state blockers

The kinetics and nonequilibrium thermodynamics of open state and inactive state drug binding mechanisms have been studied here using different voltage protocols in sodium ion channel. We have found that for constant voltage protocol, open state block is more efficient in blocking ionic current than inactive state block. Kinetic effect comes through peak current for mexiletine as an open state blocker and in the tail part for lidocaine as an inactive state blocker. Although the inactivation of sodium channel is a free energy driven process, however, the two different kinds of drug affect the inactivation process in a different way as seen from thermodynamic analysis. In presence of open state drug block, the process initially for a long time remains entropy driven and then becomes free energy driven. However in presence of inactive state block, the process remains entirely entropy driven until the equilibrium is attained. For oscillating voltage protocol, the inactive state blocking is more efficient in damping the oscillation of ionic current. From the pulse train analysis it is found that inactive state blocking is less effective in restoring normal repolarisation and blocks peak ionic current. Pulse train protocol also shows that all the inactive states behave differently as one inactive state responds instantly to the test pulse in an opposite manner from the other two states.     

Probing kinetic drug binding mechanism in voltage-gated sodium ion channel: open state versus inactive state blockers

The kinetics and nonequilibrium thermodynamics of open state and inactive state drug binding mechanisms have been studied here using different voltage protocols in sodium ion channel. We have found that for constant voltage protocol, open state block is more efficient in blocking ionic current than inactive state block. Kinetic effect comes through peak current for mexiletine as an open state blocker and in the tail part for lidocaine as an inactive state blocker. Although the inactivation of sodium channel is a free energy driven process, however, the two different kinds of drug affect the inactivation process in a different way as seen from thermodynamic analysis. In presence of open state drug block, the process initially for a long time remains entropy driven and then becomes free energy driven. However in presence of inactive state block, the process remains entirely entropy driven until the equilibrium is attained. For oscillating voltage protocol, the inactive state blocking is more efficient in damping the oscillation of ionic current. From the pulse train analysis it is found that inactive state blocking is less effective in restoring normal repolarisation and blocks peak ionic current. Pulse train protocol also shows that all the inactive states behave differently as one inactive state responds instantly to the test pulse in an opposite manner from the other two states.     

State-dependent inactivation of the Kv3 potassium channel.

Inactivation of Kv3 (Kv1.3) delayed rectifier potassium channels was studied in the Xenopus oocyte expression system. These channels inactivate slowly during a long depolarizing pulse. In addition, inactivation accumulates in response to a series of short depolarizing pulses (cumulative inactivation), although no significant inactivation occurs within each short pulse. The extent of cumulative inactivation does not depend on the voltage during the depolarizing pulse, but it does vary in a biphasic manner as a function of the interpulse duration. Furthermore, the rate of cumulative inactivation is influenced by changing the rate of deactivation. These data are consistent with a model in which Kv3 channel inactivation is a state-dependent and voltage-independent process. Macroscopic and single channel experiments indicate that inactivation can occur from a closed (silent) state before channel opening. That is, channels need not open to inactivate. The transition that leads to the inactivated state from the silent state is, in fact, severalfold faster then the observed inactivation of current during long depolarizing pulses. Long pulse-induced inactivation appears to be slow, because its rate is limited by the probability that channels are in the open state, rather than in the silent state from which they can inactivate. External potassium and external calcium ions alter the rates of cumulative and long pulse-induced inactivation, suggesting that antagonistic potassium and calcium binding steps are involved in the normal gating of the channel.     

Inactivation of the sodium channel. I. Sodium current experiments

Inactivation of sodium conductance has been studied in squid axons with voltage clamp techniques and with the enzyme pronase which selectively destroys inactivation. Comparison of the sodium current before and after pronase treatment shows a lag of several hundred microseconds in the onset of inactivation after depolarization. This lag can of several hundred microseconds in the onset of inactivation after polarization. This lag can also be demonstrated with double-pulse experiments. When the membrane potential is hyperpolarized to -140 mV before depolarization, both activation and inactivation are delayed. These findings suggest that inactivation occurs only after activation are delayed. These findings suggest that inactivation occurs only after activation; i.e. that the channels must open before they can inactivate. The time constant of inactivation measured with two pulses (τ(c)) is the same as the one measured from the decay of the sodium current during a single pulse (τ(h)). For large depolarizations, steady-state inactivation becomes more incomplete as voltage increases; but it is relatively complete and appears independent of voltage when determined with a two- pulse method. This result confirms the existence of a second open state for Na channels, as proposed by Chandler and Meves (1970. J. Physiol. [Lond.]. 211:653-678). The time constant of recovery from inactivation is voltage dependent and decreases as the membrane potential is made more negative. A model for Na channels is presented which has voltage-dependent transitions between the closed and open states, and a voltage-independent transition between the open and the inactivated state. In this model the voltage dependence of inactivation is a consequence of coupling to the activation process.     

Potassium ion currents in the crayfish giant axon. Dynamic characteristics.

The kinetics of the voltage-sensitive potassium channel in crayfish axon have been examined. The conductance increase after a step depolarization from rest can be described by a first-order kinetic process raised to the third power. When conditioning voltage levels preceded the test pulse, the steady-state conductance was found to be independent of initial conditions. Depolarizing conditioning voltages in general allowed superposition of test voltage potassium currents by a shift along the time axis. Hyperpolarizing conditioning voltages produced a delay in onset of conductance during the test pulse and changed the kinetics so that superposition was not possible. The delay increased during the hyperpolarization with a first-order lag having a time constant in the range of 1.5-3 ms. Return to the resting level caused recovery from the delayed state to follow a single exponential decay with a time constant of 1.9-2.2 ms. The steady state delay vs. voltage curves were not saturated at potentials as negative as -180 mV.     

Use-dependent block of single sodium channels by lidocaine in guinea pig ventricular myocytes.

Single sodium channel openings have been recorded from cell-attached patches of isolated guinea pig ventricular myocytes. A paired pulse protocol was used to test the hypothesis that channel openings are required for lidocaine block. While the averaged ensemble current during the test pulse was much reduced, there was no correlation between the appearance of channel openings during the conditioning pulse and the subsequent test pulse. Analysis of single channel records demonstrated that the unit conductance of open channels was not changed by lidocaine. The block of ensemble INa was explained by roughly equal reductions in number of open channel events, and in the average duration of opening for each event. These results suggest that lidocaine binding to Na+ channels is dependent upon voltage, but may occur before channel opening. A lidocaine-modified channel can still open, but will be less likely to remain open than a drug-free channel. These results are consistent with block of a pre-open state of the channel.     

Q beta and Q gamma components of intramembranous charge movement in frog cut twitch fibers

Intramembranous charge movement was measured in frog cut twitch fibers mounted in a double Vaseline-gap chamber with a TEA.Cl solution at 13-14 degrees C in the central pool. When a fiber was depolarized from a holding potential of -90 mV to a potential near -60 mV, the current from intramembranous charge movement was outward in direction and had an early, rapid component and a late, more slowly developing component, referred to as I beta and I gamma, respectively (1979. J. Physiol. [Lond.]. 289:83-97). When the pulse to -60 mV was preceded by a 100-600-ms pulse to -40 mV, early I beta and late I gamma components were also observed, but in the inward direction. The shape of the Q gamma vs. voltage curve can be estimated with this two-pulse protocol. The first pulse to voltage V allows the amounts of Q beta and Q gamma charge in the active state to change from their respective resting levels, Q beta (-90) and Q gamma (-90), to new steady levels, Q beta (V) and Q gamma (V). A second 100-120-ms pulse, usually to -60 mV, allows the amount of Q beta charge in the active state to change from Q beta (V) to Q beta (-60) but is not sufficiently long for the amount of Q gamma charge to change completely from Q gamma (V) to Q gamma (-60). The difference between the amount of Q gamma charge at the end of the second pulse and Q gamma (-60) is estimated from the OFF charge that is observed on repolarization to -90 mV. The OFF charge vs. voltage data were fitted, with gap corrections, with a Boltzmann distribution function plus a constant. The mean values of V (the potential at which, in the steady state, charge is distributed equally between the resting and active states) and k (the voltage dependence factor) were -59.2 mV (SEM, 1.1 mV) and 1.2 mV (SEM, 0.6 mV), respectively. The one-pulse charge vs. voltage data from the same fibers were fitted with a sum of two Boltzmann functions (1990. J. Gen. Physiol. 96:257-297). The mean values of V and k for the steeply voltage-dependent Boltzmann function, which is likely to be associated with the Q gamma component of charge, were -55.3 mV (SEM, 1.3 mV) and 3.3 mV (SEM, 0.6 mV), respectively, similar to the corresponding values obtained with the two-pulse protocol.(ABSTRACT TRUNCATED AT 400 WORDS)     

Memory is a property of an ion channels pool: ion channels formed by Staphylococcus aureus alpha-toxin.

The short-time depolarization effects on the integral conductance induced by S. aureus alpha-toxin (ST) in planar lipid bilayer membranes has been studied. Ion channels formed by ST were found to have several potential-induced nonconductance (closed) states. The transitions of ion channels between the states are only through one conductance state. The transition of ST-channels from closed to open state is induced by membrane depolarization. The amplitude current after a series of voltage pulses is a function of pulse number, and is effectively independent of the time interval between the neighbouring pulses. Therefore, a membrane which contains a pool of ion channels "remembers" its previous existence. A simple model can be used to explain this phenomenon.     

Direct visualization of exciton reequilibration in the LH1 and LH2 complexes of Rhodobacter sphaeroides by multipulse spectroscopy

The dynamics of the excited states of the light-harvesting complexes LH1 and LH2 of Rhodobacter sphaeroides are governed, mainly, by the excitonic nature of these ring-systems. In a pump-dump-probe experiment, the first pulse promotes LH1 or LH2 to its excited state and the second pulse dumps a portion of the excited state. By selective dumping, we can disentangle the dynamics normally hidden in the excited-state manifold. We find that by using this multiple-excitation technique we can visualize a 400-fs reequilibration reflecting relaxation between the two lowest exciton states that cannot be directly explored by conventional pump-probe. An oscillatory feature is observed within the exciton reequilibration, which is attributed to a coherent motion of a vibrational wavepacket with a period of ∼150 fs. Our disordered exciton model allows a quantitative interpretation of the observed reequilibration processes occurring in these antennas.     

Fast activation of dihydropyridine-sensitive calcium channels of skeletal muscle. Multiple pathways of channel gating

Dihydropyridine (DHP) receptors of the transverse tubule membrane play two roles in excitation-contraction coupling in skeletal muscle: (a) they function as the voltage sensor which undergoes fast transition to control release of calcium from sarcoplasmic reticulum, and (b) they provide the conducting unit of a slowly activating L-type calcium channel. To understand this dual function of the DHP receptor, we studied the effect of depolarizing conditioning pulse on the activation kinetics of the skeletal muscle DHP-sensitive calcium channels reconstituted into lipid bilayer membranes. Activation of the incorporated calcium channel was imposed by depolarizing test pulses from a holding potential of -80 mV. The gating kinetics of the channel was studied with ensemble averages of repeated episodes. Based on a first latency analysis, two distinct classes of channel openings occurred after depolarization: most had delayed latencies, distributed with a mode of 70 ms (slow gating); a small number of openings had short first latencies, < 12 ms (fast gating). A depolarizing conditioning pulse to +20 mV placed 200 ms before the test pulse (-10 mV), led to a significant increase in the activation rate of the ensemble averaged-current; the time constant of activation went from tau m = 110 ms (reference) to tau m = 45 ms after conditioning. This enhanced activation by the conditioning pulse was due to the increase in frequency of fast open events, which was a steep function of the intermediate voltage and the interval between the conditioning pulse and the test pulse. Additional analysis demonstrated that fast gating is the property of the same individual channels that normally gate slowly and that the channels adopt this property after a sojourn in the open state. The rapid secondary activation seen after depolarizing prepulses is not compatible with a linear activation model for the calcium channel, but is highly consistent with a cyclical model. A six- state cyclical model is proposed for the DHP-sensitive Ca channel, which pictures the normal pathway of activation of the calcium channel as two voltage-dependent steps in sequence, plus a voltage-independent step which is rate limiting. The model reproduced well the fast and slow gating models of the calcium channel, and the effects of conditioning pulses. It is possible that the voltage-sensitive gating transitions of the DHP receptor, which occur early in the calcium channel activation sequence, could underlie the role of the voltage sensor and yield the rapid excitation-contraction coupling in skeletal muscle, through either electrostatic or allosteric linkage to the ryanodine receptors/calcium release channels.     

The technique of detecting systolic and diastolic pressure from the transducer output of a PC-based blood pressure monitoring system

A pressure to voltage transducer is used along with a cuff, in a PC-based blood pressure and pulse rate monitoring system for human body. During the blood pressure measurement cycle, the output voltage of the pressure to voltage transducer is recorded digitally using a data acquisition system. The recorded data are then analyzed using software routines to determine the blood pressure and pulse rate of the person under test. However, it is difficult to identify the points of systole and diastole correctly from the recorded data. This paper presents the technique that may be used to determine the systolic and diastolic pressure from the collected data.     

The technique of detecting systolic and diastolic pressure from the transducer output of a PC-based blood pressure monitoring system

A pressure to voltage transducer is used along with a cuff, in a PC-based blood pressure and pulse rate monitoring system for human body. During the blood pressure measurement cycle, the output voltage of the pressure to voltage transducer is recorded digitally using a data acquisition system. The recorded data are then analyzed using software routines to determine the blood pressure and pulse rate of the person under test. However, it is difficult to identify the points of systole and diastole correctly from the recorded data. This paper presents the technique that may be used to determine the systolic and diastolic pressure from the collected data.     

Two-component structure of the current pulse of a ranaway electron beam generated during electric breakdown of elevated-pressure nitrogen

Conditions are investigated at which two current pulses of ranaway electron beams are generated in elevated-pressure nitrogen during one voltage pulse. It is shown that the regime with two runaway electron beam current pulses takes place at decreased values of the electric field strength E in the gap (or decreased values of the parameter E/p, where p is the gas pressure). The regime with two runaway electron beam current pulses is observed both at high (1500?C3000 Torr) and low (below 100 Torr) pressures. It is shown that, for the second runaway electron beam current pulse to form, the voltage across the gap should be partially reduced during the first pulse. At low nitrogen pressures (~10 Torr), the regime in which two runaway electron beams are generated can be implemented by increasing the breakdown strength of the gap and/or increasing the value of E/p. In experiments carried out in atmospheric-pressure air with a picosecond time resolution, a rather complicated structure of the beam current pulse is observed at a voltage rise time of ~300 ps.     

Electrofusion of Trichoderma reesei protoplasts

Protoplasts of Trichoderma reesei were fused according to the method of Zimmermann. For optimizing the fusion parameters the central composite design was used. Genetic evidence for fusion has been obtained by segregation of the auxotrophic markers in the haploid conidia. The parameters which were optimized were: pulse voltage, pulse duration and number of pulses. The optimal parameters for the fusion of T. reesei protoplasts are 90 V pulse voltage, 37 μS pulse duration and six pulses at intervals of 1-0 s.     

High electric field effects on the cell membranes of Halicystis parvula

The electrical breakdown behavior of the giant algal cell Halicystis parvula was studied in order to predict the optimum conditions for electrically induced cell-to-cell fusion. Using the charge pulse technique, the membranes were charged at different pulse lengths to the maximum voltage V_c. Because of a reversible, high-conductance state of the membrane (electrical breakdown), it was not possible to exceed the critical membrane breakdown potential. The breakdown voltage exhibited a strong dependence on the charging time (pulse length) between 10 s and 100 s. Below 10 s the breakdown voltage of the two membranes, tonoplast and plasmalemma, assumed a constant value of about 1.9 V, whereas above a pulse length of about 100 s the breakdown voltage was nearly constant with a value of about 0.6 V. The extreme values for the breakdown voltage at very short and at very long charging times agree fairly well with results which have been obtained on cells of Valonia utricularis and planar lipid bilayer membranes. However, the pulse length dependence of the breakdown voltage was found to be quite different in H. parvula. In addition, the membrane conductance increase during breakdown in H. parvula cells is much more pronounced than in membranes of V. utricularis, but similar to lipid bilayer membranes. From this result it is suggested that the membrane structure of H. parvula is quite different from V. utricularis (larger lipid domains).     

Post-repolarization block of cardiac sodium channels by saxitoxin.

Phasic block of rat cardiac Na+ current by saxitoxin was assessed using pulse trains and two-pulse voltage clamp protocols, and the results were fit to several kinetic models. For brief depolarizations (5 to 50 ms) the depolarization duration did not affect the rate of development or the amplitude of phasic block for pulse trains. The pulse train data were well described by a recurrence relation based upon the guarded receptor model, and it provided rate constants that accurately predicted first-pulse block as well as recovery time constants in response to two-pulse protocols. However, the amplitudes and rates of phasic block development at rapid rates (> 5 Hz) were less than the model predicted. For two pulse protocols with a short (10 ms) conditioning step to -30 mV, block developed only after repolarization to -150 mV and then recovered as the interpulse interval was increased. This suggested that phasic block under these conditions was caused by binding with increased affinity to a state that exists transiently after repolarization to -150 mV. This "post-repolarization block" was fit to a three-state model consisting of a transient state with high affinity for the toxin, the toxin bound state, and the ultimate resting state of the channel. This model accounted for the biphasic post-repolarization block development and recovery observed in two-pulse protocols, and it more accurately described phasic block in pulse trains.(ABSTRACT TRUNCATED AT 250 WORDS)     

The relationship between Q gamma and Ca release from the sarcoplasmic reticulum in skeletal muscle

Asymmetric membrane currents and fluxes of Ca2+ release were determined in skeletal muscle fibers voltage clamped in a Vaseline-gap chamber. The conditioning pulse protocol 1 for suppressing Ca2+ release and the "hump" component of charge movement current (I gamma), described in the first paper of this series, was applied at different test pulse voltages. The amplitude of the current suppressed during the ON transient reached a maximum at slightly suprathreshold test voltages (-50 to -40 mV) and decayed at higher voltages. The component of charge movement current suppressed by 20 microM tetracaine also went through a maximum at low pulse voltages. This anomalous voltage dependence is thus a property of I gamma, defined by either the conditioning protocol or the tetracaine effect. A negative (inward-going) phase was often observed in the asymmetric current during the ON of depolarizing pulses. This inward phase was shown to be an intramembranous charge movement based on (a) its presence in the records of total membrane current, (b) its voltage dependence, with a maximum at slightly suprathreshold voltages, (c) its association with a "hump" in the asymmetric current, (d) its inhibition by interventions that reduce the "hump", (e) equality of ON and OFF areas in the records of asymmetric current presenting this inward phase, and (f) its kinetic relationship with the time derivative of Ca release flux. The nonmonotonic voltage dependence of the amplitude of the hump and the possibility of an inward phase of intramembranous charge movement are used as the main criteria in the quantitative testing of a specific model. According to this model, released Ca2+ binds to negatively charged sites on the myoplasmic face of the voltage sensor and increases the local transmembrane potential, thus driving additional charge movement (the hump). This model successfully predicts the anomalous voltage dependence and all the kinetic properties of I gamma described in the previous papers. It also accounts for the inward phase in total asymmetric current and in the current suppressed by protocol 1. According to this model, I gamma accompanies activating transitions at the same set of voltage sensors as I beta. Therefore it should open additional release channels, which in turn should cause more I gamma, providing a positive feedback mechanism in the regulation of calcium release.     

Interconversion of thymine and thymidine in a thymine requiring strain of Bacillus subtilis

In a $\text{B. subtilis}$ Thy^? strain, thymidine is rapidly converted into thymine and, at the steady state, the pool size of thymidine is very small as compared to that of thymine. Consequently when such strain is used for pulse incorporation experiments with labelled thymidine paradoxical results are obtained. A quantitative estimation of the rate of DNA synthesis can only be obtained by thymine pulses or by cumulative incorporation experiments. We also pr$\text{e}$ sent evidence that, during a short pulse, thymidine is mainly utilized for replicative DNA synthesis.