Temperature Dependence of Accommodation and Excitation in Space-Clamped Axons

Accommodation and excitation in space-clamped squid axons were studied with the double sucrose gap technique, using linear current ramps, short (50 µsec) square wave pulses, and rheobasic square wave pulses as stimuli. The temperature was varied from 5° to 35°C. Experimental results showed a Q₁₀ for accommodation which was 44% higher than that for excitation. Yet calculations on the basis of the Hodgkin-Huxley equations predict equal Q₁₀'s for excitation and accommodation. Although the Hodgkin-Huxley equations are spectacularly successful for so many nerve phenomena, the differences between calculations of accommodation and these experiments, which were designed to test the equations, show that the equations need modification in this area.     

Effect of Calcium, Temperature, and Polarizing Currents upon Alternating Current Excitation of Space-Clamped Squid Axons

Alternating current threshold excitation of space-clamped squid giant axons was measured as a function of frequency, external calcium concentration, temperature (from 10° to 35°C), and hyper- and depolarizing steps. In normal axons there is usually an optimum frequency at about 120 Hz, at which the threshold is a minimum. The threshold rises at both lower and higher frequencies to give a resonance curve. Low calcium causes an increase in optimum frequency, a decrease in current threshold, and an increase in sharpness of tuning in both real axons and axons computed according to the Hodgkin-Huxley formulation; high calcium causes opposite effects. An increase in temperature causes an increase of optimum frequency, an increase in sharpness of tuning, and an increase in threshold current in both real and computed axons. The Q₁₀ for the effect of temperature upon optimum frequency is 1.8 in real and computed axons at moderate temperatures. Hyperpolarization causes (a) a decrease in optimum frequency, (b) a decrease in sharpness of tuning, and (c) an increase in threshold. Depolarization causes opposite effects.     

Anode Break Excitation in Space-Clamped Squid Axons

Strength-duration curves for space-clamped squid axons, using square wave anode breaks as stimuli, established the existence of four distinct regions. For the average experimental axon the intersection of the first two regions, τ₁, occurs at about 7 msec. This agrees with computations based on the Hodgkin-Huxley (HH) equations and corresponds to the accommodation time constant found previously for a linearly rising ramp, as given by the HH equations and as found experimentally. The second break in the curve, τ₂, at about 200 msec, and the third break, τ₃, at 1 sec, are far beyond the range of the HH equations and may be the counterpart in the excitability of the long time constants, which have been apparent from a number of other types of experiments. The regions of the curve before 1 msec and beyond 2 or 3 sec are quite variable and may represent breakdown. Rheobase increases in both experimental and computed axons when temperature is raised. In both experimental and computed axons τ₁ descreases slightly when the temperature is raised from 10 to 15°C. At 20 and 25°C, τ₁ of the experimental axon increases markedly.     

Propagation Speed in Myelinated Nerve: I. Experimental Dependence on External Na+ and on Temperature

Conduction speed (θ) in single myelinated Rana pipiens sciatic nerve fibers has been precisely measured using intracellular recording and on-line digital computer techniques. The dependence of relative speed on external Na concentration at 15°C has been found to be ln(θ₁/θ₂) = 0.524 (±0.018) ln ([Na⁺]₁/[Na⁺]₂) + 0.003. Thus θ has very close to a square root dependence on [Na⁺]₀ for these fibers. This experimental finding is not in complete agreement with a theoretical prediction based on a solution of the Hodgkin-Huxley (H.H.) equations. The effect of small temperature variations around 15°C on θ has also been measured for Rana fibers in Ringer's solution. θ has close to an exponential dependence on T and a Q₁₀ of 2.95 has been estimated.     

Temperature dependence of oscillation in squid axons: comparison of experiments with computations

The temperature dependence of the oscillatory behavior of experimental and computed axons was compared. In the experimental study of space-clamped giant axons of the squid, small oscillations after a single threshold spike were measured using the double glucose gap over the temperature range 10°-30°C during treatment with three concentrations of external CaCl₂ solutions. Calcium concentration had little effect on frequency, as was found also by Huxley in his computations at 18.5°C for a fiber at rest. The Q₁₀ both for the experimental and for the computed axon of FitzHugh was 2.25. The experimental measurements of the frequency of oscillations near threshold agree extremely well with the Hodgkin-Huxley calculations.     

Temperature Characteristics of Excitation in Space-Clamped Squid Axons

Temperature characteristics of excitability in the squid giant axon were measured for the space-clamped axon with the double sucrose gap technique. Threshold strength-duration curves were obtained for square wave current pulses from 10 µsec to 10 msec and at temperatures from 5°C to 35°C. The threshold change of potential, at which an action potential separated from a subthreshold response, averaged 17 mv at 20°C with a Q¹⁰ of 1.15. The average threshold current density at rheobase was 12 µa/cm² at 20°C with a Q¹⁰ of 2.35 compared to 2.3 obtained previously. At short times the threshold charge was 1.5·10^-8 coul/cm². This was relatively independent of temperature and occasionally showed a minimum in the temperature range. At intermediate times and all temperatures the threshold currents were less than for both the single time constant model and the two factor excitation process as developed by Hill. FitzHugh has made computer investigations of the effect of temperature on the excitation of the squid axon membrane as represented by the Hodgkin-Huxley equations. These are in general in good agreement with our experimental results.     

Oscillation and Repetitive Firing in Squid Axons : Comparison of experiments with computations

Space-clamped squid axons treated with low calcium and computed Hodgkin-Huxley (HH) axons were stimulated by steps of superthreshold current from 101 to 400% of the rheobasic value over a temperature range of 5–27°C. The natural frequency of sustained repetitive firing of real and computed axons depended weakly upon stimulus intensity and strongly upon temperature, with a Q₁₀ of 2.7 (experimental) and 2.6 (computed). For real axons, but not the computed axon, the intervals between the first two spikes were shorter than between subsequent spikes. Constant spike frequencies from 75 Hz at low intensities and temperatures to 330 Hz at high intensities and temperatures were soon achieved. Subthreshold and superthreshold responses were sometimes intermixed in a train of responses from a real axon responding to a constant step of current, but not predicted by HH. The time interval following a spike was always longer than that following a subthreshold oscillation in slightly decalcified real axons, as Huxley and FitzHugh also found for computed axons. There was a bias toward spikes at the beginning of the train and toward subthreshold responses later on. Some repeated patterns were found, every second, third, or fourth response being a spike. Neither the HH equations nor the computed or experimental threshold behaviors show a critical temperature to support a membrane phase transition.     

Calcium Efflux from Internally Dialyzed Squid Giant Axons

Calcium efflux has been studied in squid giant axons under conditions in which the internal composition was controlled by means of a dialysis perfusion technique. The mean calcium efflux from axons dialyzed with 0.3 µM calcium and 5 mM ATP was 0.26 pmol/cm²·s at 22°C. The curve relating the Ca efflux with the internal Ca concentration had a slope of about one for [Ca]_i lower than 0.3µM and a slope smaller than one for higher concentrations. Under the above conditions replacement of [Na]_o and [Ca]_o by Tris and Mg causes an 80% fall in the calcium efflux. When the axons were dialyzed with a medium free of ATP and containing 2 mM cyanide plus 5µg/ml oligomycin, analysis of the perfusion effluent gave values of 1–4 µM ATP. Under this low ATP condition, replacement of external sodium and calcium causes the same drop in the calcium efflux. The same effect was observed at higher [Ca]_i, (80 µM). These results suggest that the Na-Ca exchange component of the calcium efflux is apparently not dependent on the amounts of ATP in the axoplasm. Axons previously depleted of ATP show a significant transient drop in the calcium efflux when ATP is added to the dialysis medium. This effect probably represents the sequestering of calcium by the mitochondrial system. The consumption of calcium by the mitochondria of the axoplasm in dialyzed axons was determined to be of the order of 6.0 x 10^-7 mol Ca⁺⁺/mg of protein with an initial rate of 2.6 x 10^-8 mol Ca⁺⁺/min·mg of protein. Axons dialyzed with 2 mM cyanide after 8–10-min delays show a rise in the calcium efflux in the presence of "normal" amounts of exogenous ATP. This effect seems to indicate that cyanide, per se, can release calcium ions from internal sources.     

Effects of abscisic Acid treatment on the thermostability of the photosynthetic apparatus in barley chloroplasts

Thermostability of the photosynthetic apparatus of abscisic acid (ABA)-treated seedlings of barley (Hordeum vulgare) was studied by light-scattering and by fluorescence measurements of isolated chloroplasts. ABA treatment markedly decreased heat damage of the chloroplast ultrastructure; an exogenous ABA concentration of 10⁻⁵ molar was most effective. Heat-induced increase of the 77 kilodalton fluorescence ratio F₇₄₀/F₆₈₅ was also smaller at this ABA concentration. The heat-induced increase of the initial chlorophyll fluorescence level (F_o) was virtually eliminated in ABA-treated (10⁻⁵ molar) chloroplasts up to 45°C and slightly increased at 50°C, relative to control chloroplasts where F_o increased even at 35°C and reached its maximal value at 45°C. In control chloroplasts, F_o increased with a 5-minute pretreatment temperature, an effect observed as low as 35°C. F_o was maximal at 45°C. In contrast, chloroplasts treated with 10⁻⁵ molar ABA did not exhibit a heat-induced increase in F_o until 50°C.     

Resveratrol Attenuates the Na+-Dependent Intracellular Ca2+ Overload by Inhibiting H2O2-Induced Increase in Late Sodium Current in Ventricular Myocytes

Background/Aims

Resveratrol has been demonstrated to be protective in the cardiovascular system. The aim of this study was to assess the effects of resveratrol on hydrogen peroxide (H₂O₂)-induced increase in late sodium current (I _Na.L) which augmented the reverse Na⁺-Ca²⁺ exchanger current (I _NCX), and the diastolic intracellular Ca²⁺ concentration in ventricular myocytes.

Methods

I _Na.L, I _NCX, L-type Ca²⁺ current (I _Ca.L) and intracellular Ca²⁺ properties were determined using whole-cell patch-clamp techniques and dual-excitation fluorescence photomultiplier system (IonOptix), respectively, in rabbit ventricular myocytes.

Results

Resveratrol (10, 20, 40 and 80 µM) decreased I _Na.L in myocytes both in the absence and presence of H₂O₂ (300 µM) in a concentration dependent manner. Ranolazine (3–9 µM) and tetrodotoxin (TTX, 4 µM), I _Na.L inhibitors, decreased I _Na.L in cardiomyocytes in the presence of 300 µM H₂O₂. H₂O₂ (300 µM) increased the reverse I _NCX and this increase was significantly attenuated by either 20 µM resveratrol or 4 µM ranolazine or 4 µM TTX. In addition, 10 µM resveratrol and 2 µM TTX significantly depressed the increase by 150 µM H₂O₂ of the diastolic intracellular Ca²⁺ fura-2 fluorescence intensity (FFI), fura-fluorescence intensity change (△FFI), maximal velocity of intracellular Ca²⁺ transient rise and decay. As expected, 2 µM TTX had no effect on I _Ca.L.

Conclusion

Resveratrol protects the cardiomyocytes by inhibiting the H₂O₂-induced augmentation of I _Na.L.and may contribute to the reduction of ischemia-induced lethal arrhythmias.     

Energetics of Sodium Transport in Frog Skin : II. The effects of electrical potential on oxygen consumption

Studies were made of the dependence of the rate of oxygen consumption, J_r, on the electrical potential difference, Δψ, across the frog skin. After the abolition of sodium transport by ouabain the basal oxygen consumption was independent of Δψ. In fresh skins J_r was a linear function of Δψ over a range of at least ±70 mv. Treatment with aldosterone stimulated the short-circuit current, I_o, and the associated rate of oxygen consumption, J_ro, and increased their stability; linearity was then demonstrable over a range of ±160 mv. Brief perturbations of Δψ (±30–200 mv) did not alter subsequent values of I_o. Perturbations for 10 min or more produced a "memory" effect both with and without aldosterone: accelerating sodium transport by negative clamping lowered the subsequent value of I_o; positive clamping induced the opposite effect. Changes in J_ro were more readily detectable in the presence of aldosterone; these were in the same direction as the changes in I_o. The linearity of J_r in Δψ indicates the validity of analysis in terms of linear nonequilibrium thermodynamics—brief perturbations of Δψ appear to produce no significant effect on either the phenomenological coefficients or the free energy of the metabolic driving reaction. Hence it is possible to evaluate this free energy.     

THE ELECTRICAL CONDUCTIVITY OF SODIUM AND POTASSIUM GUAIACOLATES IN GUAIACOL

The data of the author and Uhlig, and new data, on the conductivity of sodium and of potassium guaiacolates in guaiacol at 25° have been computed with an improved conductance equation which is valid to somewhat higher concentrations than the equations formerly used. The new constants are, Λ₀ = 9.0, K = 2.8 x 10^–5 for sodium guaiacolate and Λ₀ = 9.5, K = 3.4 x 10^–5 for potassium guaiacolate.     

Propagation Speed in Myelinated Nerve: II. Theoretical Dependence on External Na+ and on Temperature

The Hodgkin-Huxley (H.H.) equations modified by Dodge for Rana pipiens myelinated nerve have been solved to determine how well the theory predicts the effects of changes of temperature and [Na⁺]₀ on propagation. Conduction speed θ was found to have an approximately exponential dependence on temperature as was found experimentally, but the theoretical temperature coefficient (Q₁₀) was low; 1.5 compared with the experimental finding of 2.95. θ was found to be a linear function of log ([Na⁺]₀) in contrast to the experimental finding of a square root dependence on [Na⁺]₀. θ is 50% greater at one-fourth normal [Na⁺]₀ than the theory predicts. The difference between the theoretical θ([Na⁺]₀) and the experimental θ([Na⁺]₀) is probably due to an imprecisely known variation of parameters and not to a fundamental inadequacy of the theory.     

THE VIOLOGEN INDICATORS

The tabulation gives the normal potentials of the various indicators at 30°C.; referred to the normal hydrogen electrode, the accuracy is estimated to be ±0.002 volt. Normal potentials of the viologens at 30°C.: Methyl viologen –0.446 volts Ethyl viologen –0.449 volts Betaine viologen –0.444 volts Benzyl viologen –0.359 volts Supposing some solution brings about a coloration of one of these indicators to the extent of A per cent of the maximum color, the oxidation-reduction potential of this solution is E = E_o – 0.06 log See PDF for Equation where E_o is the normal potential according to the above tabulation. This normal potential is independent of pH.     

TEMPERATURE AND CRITICAL ILLUMINATION FOR REACTION TO FLICKERING LIGHT : IV. ANAX NYMPHS

At fixed flash frequency (_F = 20, _F = 55) and with constant light time fraction (50 per cent) in the flash cycle, the critical illumination I for response of Anax nymphs to visual flicker falls continuously as the temperature rises. The temperature characteristic µ for the measure of excitability (1/I) increases continuously with elevation of temperature. The form of the F - log I curve does not change except at quite high temperature (35.8°), and then only slightly (near F = 55); F_max. is not altered. The very unusual form of the 1/I curve as a function of temperature is quantitatively accounted for if two processes, with respectively µ = 19,200 and µ = 3,400, contribute independently and simultaneously to the control of the speed of the reaction governing the excitability; the velocities of these two processes are equal at 15.9°.     

GABA Increases Electrical Excitability in a Subset of Human Unmyelinated Peripheral Axons

Background

A proportion of small diameter primary sensory neurones innervating human skin are chemosensitive. They respond in a receptor dependent manner to chemical mediators of inflammation as well as naturally occurring algogens, thermogens and pruritogens. The neurotransmitter GABA is interesting in this respect because in animal models of neuropathic pain GABA pre-synaptically regulates nociceptive input to the spinal cord. However, the effect of GABA on human peripheral unmyelinated axons has not been established.

Methodology/Principal Findings

Electrical stimulation was used to assess the effect of GABA on the electrical excitability of unmyelinated axons in isolated fascicles of human sural nerve. GABA (0.1–100 µM) increased electrical excitability in a subset (ca. 40%) of C-fibres in human sural nerve fascicles suggesting that axonal GABA sensitivity is selectively restricted to a sub-population of human unmyelinated axons. The effects of GABA were mediated by GABA_A receptors, being mimicked by bath application of the GABA_A agonist muscimol (0.1–30 µM) while the GABA_B agonist baclofen (10–30 µM) was without effect. Increases in excitability produced by GABA (10–30 µM) were blocked by the GABA_A antagonists gabazine (10–20 µM), bicuculline (10–20 µM) and picrotoxin (10–20 µM).

Conclusions/Significance

Functional GABA_A receptors are present on a subset of unmyelinated primary afferents in humans and their activation depolarizes these axons, an effect likely due to an elevated intra-axonal chloride concentration. GABA_A receptor modulation may therefore regulate segmental and peripheral components of nociception.     

Electrodiffusion,Barrier, and Gating Analysis of DIDS-insensitive Chloride Conductance in Human Red Blood Cells Treated with Valinomycin or Gramicidin

Current-voltage curves for DIDS-insensitive Cl⁻ conductance have been determined in human red blood cells from five donors. Currents were estimated from the rate of cell shrinkage using flow cytometry and differential laser light scattering. Membrane potentials were estimated from the extracellular pH of unbuffered suspensions using the proton ionophore FCCP. The width of the Gaussian distribution of cell volumes remained invariant during cell shrinkage, indicating a homogeneous Cl⁻ conductance among the cells. After pretreatment for 30 min with DIDS, net effluxes of K⁺ and Cl⁻ were induced by valinomycin and were measured in the continued presence of DIDS; inhibition was maximal at ∼65% above 1 μM DIDS at both 25°C and 37°C. The nonlinear current-voltage curves for DIDS-insensitive net Cl⁻ effluxes, induced by valinomycin or gramicidin at varied [K⁺]_o, were compared with predictions based on (1) the theory of electrodiffusion, (2) a single barrier model, (3) single occupancy, multiple barrier models, and (4) a voltage-gated mechanism. Electrodiffusion precisely describes the relationship between the measured transmembrane voltage and [K⁺]_o. Under our experimental conditions (pH 7.5, 23°C, 1–3 μM valinomycin or 60 ng/ml gramicidin, 1.2% hematocrit), the constant field permeability ratio P_K/P_Cl is 74 ± 9 with 10 μM DIDS, corresponding to 73% inhibition of P_Cl. Fitting the constant field current-voltage equation to the measured Cl⁻ currents yields P _Cl = 0.13 h⁻¹ with DIDS, compared to 0.49 h⁻¹ without DIDS, in good agreement with most previous studies. The inward rectifying DIDS-insensitive Cl⁻ current, however, is inconsistent with electrodiffusion and with certain single-occupancy multiple barrier models. The data are well described either by a single barrier located near the center of the transmembrane electric field, or, alternatively, by a voltage-gated channel mechanism according to which the maximal conductance is 0.055 ± 0.005 S/g Hb, half the channels are open at −27 ± 2 mV, and the equivalent gating charge is −1.2 ± 0.3.     

Transport of glucose and galactose in kidney-cortex cells

1. The aerobic transport of d-glucose and d-galactose in rabbit kidney tissue at 25° was studied. 2. In slices forming glucose from added substrates an accumulation of glucose against its concentration gradient was found. The apparent ratio of intracellular ([S]_i) and extracellular ([S]_o) glucose concentrations was increased by 0·4mm-phlorrhizin and 0·3mm-ouabain. 3. Slices and isolated renal tubules actively accumulated glucose from the saline; the apparent [S]_i/[S]_o fell below 1·0 only at [S]_o higher than 0·5mm. 4. The rate of glucose oxidation by slices was characterized by the following parameters: K_m 1·16mm; V_max. 4·5μmoles/g. wet wt./hr. 5. The active accumulation of glucose from the saline was decreased by 0·1mm-2,4-dinitrophenol, 0·4mm-phlorrhizin and by the absence of external Na⁺. 6. The kinetic parameters of galactose entry into the cells were: K_m 1·5mm; V_max 10μmoles/g. wet wt./hr. 7. The efflux kinetics from slices indicated two intracellular compartments for d-galactose. The galactose efflux was greatly diminished at 0°, was inhibited by 0·4mm-phlorrhizin, but was insensitive to ouabain. 8. The following mechanism of glucose and galactose transport in renal tubular cells is suggested: (a) at the tubular membrane, these sugars are actively transported into the cells by a metabolically- and Na⁺-dependent phlorrhizin-sensitive mechanism; (b) at the basal cell membrane, these sugars are transported in accordance with their concentration gradient by a phlorrhizin-sensitive Na⁺-independent facilitated diffusion. The steady-state intracellular sugar concentration is determined by the kinetic parameters of active entry, passive outflow and intracellular utilization.     

Effect of ATP on the Calcium Efflux in Dialyzed Squid Giant Axons

Dialysis perfusion technique makes it possible to control the internal composition of squid giant axons. Calcium efflux has been studied in the presence and in the virtual absence (<5 µM) of ATP. The mean calcium efflux from axons dialyzed with 0.3 µM ionized calcium, [ATP]_i > 1,000 µM, and bathed in artificial seawater (ASW) was 0.24 ± 0.02 pmol·cm^-2·s^-1 (P/CS) (n = 8) at 22°C. With [ATP]_i < 5 µM the mean efflux was 0.11 ± 0.01 P/CS (n = 15). The curve relating calcium efflux to [ATP]_i shows a constant residual calcium efflux in the range of 1–100 µM [ATP]_i. An increase of the calcium efflux is observed when [ATP]_i is >100 µM and saturates at [ATP]_i > 1,000 µM. The magnitude of the ATP-dependent fraction of the calcium efflux varies with external concentrations of Na⁺, Ca⁺⁺, and Mg⁺⁺. These results suggest that internal ATP changes the affinity of the calcium transport system for external cations.     

Predictive Thermal Inactivation Model for Effects of Temperature, Sodium Lactate, NaCl, and Sodium Pyrophosphate on Salmonella Serotypes in Ground Beef

Analyses of survival data of a mixture of Salmonella spp. at fixed temperatures between 55°C (131°F) and 71.1°C (160°F) in ground beef matrices containing concentrations of salt between 0 and 4.5%, concentrations of sodium pyrophosphate (SPP) between 0 and 0.5%, and concentrations of sodium lactate (NaL) between 0 and 4.5% indicated that heat resistance of Salmonella increases with increasing levels of SPP and salt, except that, for salt, for larger lethalities close to 6.5, the effect of salt was evident only at low temperatures (<64°C). NaL did not seem to affect the heat resistance of Salmonella as much as the effects induced by the other variables studied. An omnibus model for predicting the lethality for given times and temperatures for ground beef matrices within the range studied was developed that reflects the convex survival curves that were observed. However, the standard errors of the predicted lethalities from this models are large, so consequently, a model, specific for predicting the times needed to obtained a lethality of 6.5 log₁₀, was developed, using estimated results of times derived from the individual survival curves. For the latter model, the coefficient of variation (CV) of predicted times range from about 6 to 25%. For example, at 60°C, when increasing the concentration of salt from 0 to 4.5%, and assuming that the concentration of SPP is 0%, the time to reach a 6.5-log₁₀ relative reduction is predicted to increase from 20 min (CV = 11%) to 48 min (CV = 15%), a 2.4 factor (CV = 19%). At 71.1°C (160°F) the model predicts that more than 0.5 min is needed to achieve a 6.5-log₁₀ relative reduction.