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Query: UMLS:C0019829 (Hodgkin's disease)
 30,247 document(s) hit in 31,850,051 MEDLINE articles (0.00 seconds)

Summation of the potassium conductance (GK) changes underlying the spike afterhyperpolarization (AHP) has been studied in cat spinal motoneurones. Cells were directly activated by one to five short current pulses at constant rate, each evoking an action potential. The analysis was restricted to cells displaying an approximately exponential decay of the AHP conductance. In these neurones the AHP conductances given by successive spikes were found to summate in a non-linear manner. This nonlinear summation seemed well described by a neurone model based on modified Hodgkin-Huxley equations. From the model equations the total AHP conductance in motoneurones could be calculated from values of GK measured experimentally at different times during the summation process. Adaptation and steady-state firing in motoneurones are assumed to be governed by summation of AHP conductance. The same model was then utilized for simulating neuronal repetitive firing in response to current steps. Such simulations were performed after substitution of the model parameters with values measured in individual motoneurones which had also been fired repetitively by intracellular injection of long-lasting current steps. The amount of adaptation and the shape and slopes of the steady-state frequency-to-current relation were found to coincide in the model and in the corresponding motoneurones.
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PMID:Saturating summation of the afterhyperpolarization conductance in spinal motoneurones: a mechanism for 'secondary range' repetitive firing. 64 88

Membrane properties of molluscan neural somata and crustacean axons have been studied by voltage clamp analysis. These neurons generate rhythmic discharge in response to constant current stimulation, and in certain of the molluscan neurons the discharge is spontaneous. Atransiently activated potassium conductance is prominent in both of these types of neurons. Computer simulations have been run in which this transient conductance system was incorporated into modified versions of the Hodgkin-Huxley equations. Repetitive discharge is generated that is very similar to the response of the preparation from which the simulation parameters were derived. Rhythmic, spontaneous discharge is generated on slight modification of the conductance parameters.
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PMID:Slow repetitive activity from fast conductance changes in neurons. 65 53

The contribution of specific ions to the conductance and potential of the basolateral membrane of the rabbit urinary bladder has been studied with both conventional and ion-specific microelectrode techniques. In addition, the possibility of an electrogenic active transport process located at the basolateral membrane was studied using the polyene antibiotic nystatin. The effect of ion-specific microelectrode impalement damage on intracellular ion activities was examined and a criterion set for acceptance or rejection of intracellular activity measurements. Using this criterion, we found (K+) = 72 mM and (Cl-) = 15.8 mM. Cl- but not K+ was in electrochemical equilibrium across the basolateral membrane. The selective permeability of the basolateral membrane was measured using microelectrodes, and the data analyzed using the Goldman, Hodgkin-Katz equation. The sodium to potassium permeability ratio (PNa/PK) was 0.044, and the chloride to potassium permeability ratio (PCl/PK) was 1.17. Since K+ was not in electrochemical equilibrium, intracellular (K+) is maintained by active metabolic processes, and the basolateral membrane potential is a diffusion potential with K+and C1- the most permeable ions. After depolarizing the basolateral membrane with high serosal potassium bathing solutions and eliminating the apical membrane as a rate limiting step for ion movement using the polyene antibiotic nystatin, we found that the addition of equal aliquots of NaCl to both solutions caused the basolateral membrane potential to hyperpolarize by up to 20mV (cell interior negative). This potential was reduced by 80% within 3 min of the addition of ouabain to the serosal solution. This hyperpolarization most probably represents a ouabain sensitive active transport process sensitive to intracellular Na+. An equivalent electrical circuit for Na+ transport across rabbit urinary bladder is derived, tested, and compared to previous results. This circuit is also used to predict the effects that microelectrode impalement damage will have on individual membrane potentials as well as time-dependent phenomena; e.g., effect of amiloride on apical and basolateral membrane potentials.
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PMID:Basolateral membrane potential of a tight epithelium: ionic diffusion and electrogenic pumps. 67 23

The axon membrane is simulated by standard Hodgkin-Huxley leakage and potassium channels plus a coupled transient excited state kinetic scheme for the sodium channel. This scheme for the sodium channel is as proposed previously by the author. Simulations are presented showing the form of the action potential, threshold behavior, accommodation, and repetitive firing. It is seen that the form of the individual action potential, its all-or-none nature, and its refractory period are well simulated by this model, as they are by the standard Hodgkin-Huxley model. However, the model differs markedly from the Hodgkin-Huxley model with respect to repetitive firing and accommodation to stimulating currents of slowly rising intensity, in ways that are shown to be related to those features of the sodium inactivation which are anomalous to the H-H model. The tendency for repetitive firing is highly dependent on that parameter which primarily determines the existence of the inactivation shift in voltage clamp experiments, in such a way that the more pronounced the inactivation shift, the less the tendency for repetitive firing. The tendency for accommodation is highly dependent on that parameter which primarily determines the 'tauc-tauh' separation, in such a way that the greater the separation the greater the tendency for the membrane to accommodate without firing action potentials to a slowly rising current.
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PMID:A fully coupled transient excited state model for the sodium channel. II. Implications for action potential generation, threshold, repetitive firing, and accommodation. 75 Jun 31

Several compounds of fungal or bacterial origin (EIM, alamethicin, monazomycin, DJ400B) can be incorporated into planar lipid bilayers where they form molecular channels and generate voltage-dependent ion conductances. When studied by voltage clamp, the kinetic and steady-state characteristics of these conductance changes are in every respect identical to those found in excitable cell membranes, and their major aspects can be quantitatively described by the Hodgkin-Huxley equations. Thus, the steady-state conductance is an expotential function of the membrane potential, the conductance rises with a sigmoid time course and decays exponentially, and the time constants of the conductance changes go through a maximum as a function of the potential. The conductances also show inactivation as seen in the sodium channels of nerve and the potassium channels of muscle. In addition, there appear for particular pulsing sequences certain kinetic transients that cannot be accounted for by the Hodgkin-Huxley equations but are also seen in identical form in nerve. Because the kinetics are identical in all excitable cell membranes and in these bilayers, it is likely that, in spite of the diverse chemical nature of the channel-forming molecules in the bilayers and the widely differing ion selectivities in the cellular systems, the mechanism by which the membrane opens and closes for the flow of ions is essentially the same in all cases. The kinetic data imply that a cooperative process is involved in the gating action. In principle, two different concepts could account for the kinetics--one involving an intramolecular configurational change within a complex permanent channel, the other, the assembly of a channel through the voltage-dependent aggregation of monomeric channel precursors. In the bilayers the high-order dependence of the steady-state conductance and of the gating time constants on the concentration of the channel formers suggests an aggregation mechanism in which the gating involves the voltage-induced insertion of all or part of the channel-forming molecules from the membrane surface into the hydrocarbon region and their subsequent aggregation into open channels by lateral diffusion. The mathematical description of this two-step insertion-aggregation mechanism accounts quantitatively for the entire conductancb-voltage kinetics including inactivation and other kinetic features which deviate from the Hodgkin-Huxley kinetics in the sense that the rate constants of the changes are dependent not only on the membrane potential but also on the value of the conductance and on time. The proposed mechanism is also in agreement with single-channel data for alamethicin which suggest that both the insertion and the aggregation rate constants are voltage-dependent...
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PMID:Molecular aspects of electrical excitation in lipid bilayers and cell membranes. 77 70

The use of the maximum rate-of-rise of the action potential (Vmax) as a measure of the sodium conductance in excitable membranes is invalid. In the case of membrane action potentials, Vmax depends on the total ionic current across the membrane; drugs or conditions that alter the potassium or leak conductances will also affect Vmax. Likewise, long-term depolarization of the membrane lessens the fraction of total ionic current that passes through the sodium channels by increasing potassium conductance and inactivating the sodium conductance, and thereby reduces the effect of Vmax of drugs that specifically block sodium channels. The resultant artifact, an apparent voltage-dependent potency of such drugs, is theoretically simulated for the effects of tetrodotoxin on the Hodgkin-Huxley squid axon.
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PMID:On the voltage-dependent action of tetrodotoxin. 84 85

The Hodgkin-Huxley equations for space-clamped squid axon (18 degrees C) have been modified to approximate voltage clamp data from repetitive-firing crustacean walking leg axons and activity in response to constant current stimulation has been computed. The m infinity and h infinity parameters of the sodium conductance system were shifted along the voltage axis in opposite directions so that their relative overlap was increased approximately 7 mV. Time constants tau m and tau h, were moved in a similar manner. Voltage-dependent parameters of delayed potassium conductance, n infinity and tau n, were shifted 4.3 mV in the positive direction and tau n was uniformly increased by a factor of 2. Leakage conductance and capacitance were unchanged. Repetitive activity of this modified circuit was qualitatively similar to that of the standard model. A fifth branch was added to the circuit representing a transient potassium conductance system present in the repetitive walking leg axons and in other repetitive neurons. This model, with various parameter choices, fired repetitively down to approximately 2 spikes/s and up to 350/s. The frequency vs. stimulus current plot could be fit well by a straight line over a decade of the low frequency range and the general appearance of the spike trains was similar to that of other repetitive neurons. Stimulus intensities were of the same order as those which produce repetitive activity in the standard Hodgkin-Huxley axon. The repetitive firing rate and first spike latency (utilization time) were found to be most strongly influenced by the inactivation time constant of the transient potassium conductance (tau b), the delayed potassium conductance (tau n), and the value of leakage conductance (gL). The model presents a mechanism by which stable low frequency discharge can be generated by millisecond-order membrane conductance changes.
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PMID:Neural repetitive firing: modifications of the Hodgkin-Huxley axon suggested by experimental results from crustacean axons. 85 18

1. A mathematical model of membrane action potentials of mammalian ventricular myocardial fibres is described. The reconstruction model is based as closely as possible on ionic currents which have been measured by the voltage-clamp method.2. Four individual components of ionic current were formulated mathematically in terms of Hodgkin-Huxley type equations. The model incorporates two voltage- and time-dependent inward currents, the excitatory inward sodium current, i(Na), and a secondary or slow inward current, i(s), primarily carried by calcium ions. A time-independent outward potassium current, i(K1), exhibiting inward-going rectification, and a voltage- and time-dependent outward current, i(x1), primarily carried by potassium ions, are further elements of the model.3. The i(Na) is primarily responsible for the rapid upstroke of the action potential, while the other current components determine the configuration of the plateau of the action potential and the re-polarization phase. The relative importance of inactivation of i(s) and of activation of i(x1) for termination of the plateau is evaluated by the model.4. Experimental phenomena like slow recovery of the sodium system from inactivation, frequency dependence of the action potential duration, all-or-nothing re-polarization, membrane oscillations are adequately described by the model.5. Possible inadequacies and shortcomings of the model are discussed.
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PMID:Reconstruction of the action potential of ventricular myocardial fibres. 87 89

1. Membrane currents in calcium type muscle membrane of the cray-fish Astacus fluviatilis were analysed by a method in which a membrane microarea was isolated by circulating sucrose rings contacting the fibre perpendicular to the fibre surface.2. The early calcium inward currents were separated from the total membrane currents by subtraction of the early and delayed potassium currents from the total membrane current.3. The isolated calcium currents show a time course characteristic for a transient change of calcium conductance. The presence of inactivation was further checked by the time course of the tail currents at the end of voltage clamp pulses of variable duration.4. The reversal potential of the early calcium currents determined from the current-voltage relations was +85 +/- 4.2 mV. The calcium potentials were used to express the calcium currents in the form of chord conductances.5. Calcium conductances (g(Ca)) as functions of time and voltage were found to be described quantitatively on the assumption that g(Ca) is determined by two variables (m and h), according to the equation g(Ca) = m(6)hg(Ca), where g(Ca) is a constant and m and h obey first order differential equations of the Hodgkin-Huxley type.6. The activation parameters of the g(Ca) were determined by fitting the solutions of the above equations to the experimental values of the g(Ca). This method was also used to check the inactivation parameters.7. The inactivation parameters of the g(Ca) were obtained from the inactivation curves, which were determined for several membrane potentials by variation of the duration of the conditioning step.8. The average calcium conductance constants were tabulated and compared with sodium conductance constants in excitable membranes.
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PMID:Calcium currents and conductances in the msucle membrane of the crayfish. 87 8

A physical model for potassium transport in squid giant axon is proposed. The model is designed to explain the empirical data given by the Hodgkin-Huxley model and related experiments. It is assumed that K(+) moves across the axon membrane by single-file diffusion through narrow pores. In the model a pore has three negatively charged sites that can be occupied alternatively by K(+) or by a gating particle, GP(++), coming from the external surface. GP(++) is considered to be part of the membrane rather than a diffusible component of the surrounding solutions. A high activation barrier for GP(++) is supposed at the inner membrane border so that it cannot change over to the internal surface. Therefore potassium diffusion can be blocked by GP(++) penetrating into the pores. This mechanism controls the dynamic behaviour of the model. The time-dependent probabilities of the pore states are described by a system of differential equations. The rate constants in these equations depend on the ionic concentrations, the membrane voltage, and the electrostatic interaction between ions in a single pore. Detailed computational tests for normal composition of external and internal solutions show that the model agrees remarkably well with the stationary and dynamic behaviour of the Hodgkin-Huxley model. However, the hyperpolarization delay is not reproduced. A structural modification, concerning this delay and the way in which GP(++) is attached to the membrane, is proposed, and the qualitative behavior of the model at varied external and internal concentrations is discussed.
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PMID:A single-file model for potassium transport in squid giant axon. Simulation of potassium currents at normal ionic concentrations. 88 Mar 31


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