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J R Segal

Publications and source records attributed to J R Segal.

13 recordsLinked to original sources
PubMed1986

Fluctuation analysis of nonideal shot noise. Application to the neuromuscular junction.

Procedures are described for analyzing shot noise and determining the waveform, w(t), mean amplitude, (h), and mean rate of occurrence, (r), of the shots under a variety of nonideal conditions that include: (a) slow, spurious changes in the mean, (b) nonstationary shot rates, (c) nonuniform distribution of shot amplitudes, and (d) nonlinear summation of the shots. The procedures are based upon Rice's (1944. Bell Telephone System Journal. 23: 282-332) extension of Campbell's theorem to the second (variance), lambda 2, third (skew), lambda 3, and fourth, lambda 4, semi-invariants (cumulants) of the noise. It is shown that the spectra of lambda 2 and lambda 3 of nonstationary shot noise contain a set of components that are proportional to (r) and arise from w(t), and a set of components that are independent of (r) and arise from the temporal variations in r(t). Since the latter components are additive and are limited by the bandwidth of r(t), they can be removed by appropriate filters; then (r) and (h) can be determined from the lambda 2 and lambda 3 of the filtered noise. We also show that a factor related to the ratio (lambda 3)2/(lambda 2)(lambda 4) monitors the spread in the distribution of shot amplitudes and can be used to correct the estimates of (r) and (h) for the effects of that spread, if the shape of the distribution is known and if r(t) is stationary. The accuracy of the measurements of lambda 4 is assessed and corrections for the effects of nonlinear summation of lambda 2, lambda 3, and lambda 4 are derived. The procedures give valid results when they are used to analyze shot noise produced by the (linear) summation of simulated miniature endplate potentials, which are generated either at nonstationary rates or with a distribution of amplitudes.

Acetylcholine↗
PubMed1986

Effects of black widow spider venom and Ca2+ on quantal secretion at the frog neuromuscular junction.

A modification of the classical procedure of fluctuation analysis is used to measure the waveform, w(t), mean amplitude, (h), and mean rate of occurrence, (r), of miniature endplate potentials (MEPPs) at frog cutaneous pectoris neuromuscular junctions treated with black widow spider venom (BWSV). MEPP parameters are determined from the power spectrum of the fluctuating potential and the second (variance), third (skew), and fourth semi-invariants (cumulants) of high-pass-filtered records of the potential. The method gives valid results even when the mean potential undergoes slow changes unrelated to MEPPs and when the MEPP rate is not stationary; it detects changes in the distribution of MEPP amplitudes and corrects for the nonlinear summation of MEPPs. The effects of Ca2+ on BWSV-induced secretion are studied in detail. When Ca2+ is absent, the power spectrum of the fluctuations is shaped like the spectrum of w(t) and secretion is quasi-stationary; (r) rises smoothly to peak values of approximately 1,500/s and then quickly subsides to levels near 10/s. Many relatively small and some "giant" MEPPs occur at the ends of the experiments, and the distribution of MEPP amplitudes broadens. When the effects of this broadening are corrected for, we find that approximately 0.7 X 10(6) MEPPs occurred during the 30 min of intense secretion. Since BWSV depletes nerve terminals of their quanta of transmitter and their synaptic vesicles, this figure is an upper limit for the quantal store in a resting terminal. When Ca2+ is present, the noise spectrum deviates from the spectrum of w(t) and secretion is nonstationary; (r) rises to similar peak values but is sustained at levels near 400/s for up to an hour and at least 1.5 X 10(6) quanta are secreted within this period. Thus, the quantal store must have turned over at least twice under this condition. Data previously obtained at junctions treated with La3+ are corrected for nonlinear summation and for the distribution of MEPP amplitudes. The two corrections roughly compensate each other, and the corrected results confirm the previous conclusion that the number of quanta secreted from La3+-treated terminals during 1 h is not strongly dependent upon the extracellular concentration of Ca2+; approximately 2 X 10(6) quanta are released even when Ca2+ is absent.

Animals↗
PubMed1985

Miniature endplate potential frequency and amplitude determined by an extension of Campbell's theorem.

A method based upon an extension of Campbell's theorem is used to measure the amplitude, waveform, and frequency of occurrence of miniature endplate potentials (mepps) at rapidly secreting neuromuscular junctions of frog cutaneous pectoris muscles. Measurements of the variance, skew, and power spectrum of the fluctuations in membrane potential are used to deduce the mepp parameters. These estimates of mepp amplitude and frequency are insensitive to slow drifts in membrane potential that preclude the conventional application of Campbell's theorem, which uses the mean and variance. The new method becomes unreliable at high mepp frequencies because the distribution of the values of membrane potential approaches a Gaussian thereby reducing the accuracy of skew measurements. Frequencies approaching 10(4) s-1 can be measured, however, if the data are high-pass filtered. The method has been tested with computer simulated data and applied to junctions exposed to La3+; the effects of Ca2+ on the La3+-induced secretion have been explored. Some muscles were fixed after treatment with La3+, and changes in nerve terminal ultrastructure were assessed by morphometric analysis of electron micrographs. Horseradish peroxidase was used to obtain information about vesicle recycling.

Animals↗
PubMed1977

Pressure jump relaxation kinetics of frog skin open circuit voltage and short circuit current.

The relaxation kinetics of frog skin open circuit voltage, Voc, and short circuit current, Isc, was studied by analyzing the effects of subjecting the tissue to sudden increments of hydrostatic pressure. Both Voc and Isc are perturbed by the pressure jump. Changes in Voc can be resolved into three components: a rapid decrease (phase I), a second, additional decrease with time constant 2.2 s (phase II), and finally a very slow increase found only in some preparations. The amplitudes of phases I and II are linear in the range of pressures studied (less than 350 atm) and have respective pressure coefficients of -1.2.10(-4) atm-1 and 3.7.10(-4) atm-1. Under short circuit conditions, phases I and II persist. The pressure coefficients of the amplitudes of phases I and II, -4.3.10(-4) ATM-1 and -5.0.10(-4)ATM-1, respectively, are larger than those of Voc, but the time constant of phase II, 2.2 S, is the same. The sum of the amplitudes of phases I and II is directly proportional to Isc when it is inhibited with ouabain. It is argued that in both electrical states pressure perturbs the same transport mechanism giving rise to phases I and II of Voc and of Isc. The magnitude of the pressure coefficients of these processes implies that they arise from chemical reactions, rather than from simple, physical solution properties. Comparison of the pressure jump kinetics with the previous spectral analysis of the electrical fluctuations of frog skin suggests a common origin for both sets of phenomena.

Animals↗
PubMed1972

Electrical fluctuations associated with active transport.

Measurements were made of the spectrum of the voltage fluctuations developed in the 0.025-10 Hz band during active transport by frog abdominal skin with Ringer's solution on both sides. Decreasing the potential across the skin by an external supply of current diminishes the voltage fluctuations, but they do not disappear, reaching a minimum finite value. Thus, fluctuations in both the resistance of the skin and the electric current attendant to the active transport of sodium contribute to the voltage fluctuations. Ouabain eliminates the current fluctuations but not those of the resistance. At 20 degrees C, the spectral intensities of the resistance and current fluctuations are nearly identical, varying as 1/f(a), where f is frequency and a = 1.6-2.0. At 32 degrees C, the spectrum of the voltage fluctuations is sigmoid shaped, evidencing a relaxation process with a time constant of 0.6 sec. The fluctuations can be accounted for by stochastic variations in the concentration of a complex formed between a carrier molecule, fixed or mobile, and the actively transported species, sodium.

Biological Transport, Active↗
PubMed1968

Surface charge of giant axons of squid and lobster.

A method is described for the determination of the electrophoretic mobility of single, isolated, intact, giant axons of squid and lobster. In normal physiological solutions, the surface of hydrodynamic shear of these axons is negatively charged. The lower limit of the estimated surface charge density is -1.9 x 10(-8) coul cm(-2) for squid axons, -4.2 x 10(-8) coul cm(-2) for lobster axons. The electrophoretic mobility of squid axons decreases greatly when the applied transaxial electric field is made sufficiently intense; action potential propagation is blocked irreversibly by transaxial electric fields of the same intensity. The squid axon recovers its mobility hours later and is then less affected by transaxial fields. Eventually, a state is reached in which the transaxial field irreversibly reverses the sign of the surface charge. In contrast, there is no obvious effect of electric field on the mobility of lobster axons. The mobility of lobster axons becomes undetectable in the presence of Th(4+) at a concentration which blocks the action potential, and in the presence of La(3+) at a concentration which does not affect propagation. Quinine does not alter lobster axon mobility at a concentration which blocks action potential conduction. Replacement of extracellular Na(+) by K(+) is without effect upon lobster axon mobility. The electrophysiological implications of the results are discussed.

Action Potentials↗