The Detection of Peaks in Luteinizing Hormone Secretion

Fluctations in luteinizing hormone are believed to consist of irregularly spaced sharp increases separated by periods of exponential decay. A simple method is presented for analysing such fluctuations when the data consist of uniformly sampled observations of hormone. Specific allowance for the exponential decay in the absence of pulses is made via a time series model before assessing the number and extent of pulses. All calculations are done using MINITAB regression programs. The results have been compared with those obtained by three established models and are in general agreement.     

In vivo electroporation using an exponentially enhanced pulse: a new waveform

In vivo electroporation is currently accomplished by one of two types of common waveforms: exponential decay or square-wave pulses. The purpose of this report is to present a new electroporation waveform, the exponentially enhanced pulse (EEP). Pulsing protocols including the EEP resulted in high levels of luciferase expression in muscle and skin, equal to or greater than expression resulting from low-voltage, millisecond square-wave pulses. This high level of expression requires fewer pulses when using an EEP protocol. Therefore, similar or greater plasmid DNA expression levels are obtained using fewer pulses with the EEP protocol than with current protocols. This is the first report of this new waveform and shows the success of using protocols employing the EEP to deliver plasmid DNA to various tissue types.     

Modeling of hormone secretion-generating mechanisms with splines: a pseudo-likelihood approach

A flexible and robust approach is proposed for the investigation of underlying hormone secretion-generating mechanisms. Characterizing hormone time series is a difficult task as most hormones are secreted in a pulsatile manner and pulses are often masked by slow decay. We model hormone concentration as a filtered counting process where the intensity function of the counting process is modeled nonparametrically using periodic splines. The intensity function and parameters are estimated using a combination of weighted least squares and pseudo-likelihood based on the first two moments. Our method uses concentration measurements directly, which avoids the difficult task of estimating pulse numbers and locations. Both simulations and applications suggest that our method performs well for estimating the intensity function of the pulse-generating counting processes.     

Depolarization-activated potentiation of the T fiber synapse in the blue crab

The blue crab T fiber synapse, associated with the stretch receptor of the swimming leg, has a nonspiking presynaptic element that mediates tonic transmission. This synapse was isolated and a voltage clamp circuit was used to control the membrane potential at the release sites. The dependence of transmitter release on extracellular calcium, [Ca]o, was studied over a range of 2.5-40 mM. A power relationship of 2.7 was obtained between excitatory postsynaptic potential (EPSP) rate of rise and [Ca]o. Brief presynaptic depolarizing steps, 5-10 ms, presented at 0.5 Hz activated EPSP's of constant amplitude. Inserting a 300-ms pulse (conditioning pulse) between these test pulses potentiated the subsequent test EPSPs. This depolarization-activated potentiation (DAP) lasted for 10-20 s and decayed with a single exponential time course. The decay time course remained invariant with test pulse frequencies ranging from 0.11 to 1.1 Hz. The magnitude and decay time course of DAP were independent of the test pulse amplitudes. The magnitude of DAP was a function of conditioning pulse amplitudes. Large conditioning pulses activated large potentiations, whereas the decay time constants were not changed. The DAP is a Ca-dependent process. When the amplitude of conditioning pulses approached the Ca equilibrium potential, the magnitude of potentiation decreased. Repeated application of conditioning pulses, at 2-s intervals, did not produce additional potentiation beyond the level activated by the first conditioning pulse. Comparison of the conditioning EPSP waveforms activated repetitively indicated that potentiation lasted transiently, 100 ms, during a prolonged release. Possible mechanisms of the potentiation are discussed in light of these new findings.     

Arterial pulse attenuation prediction using the decaying rate of a pressure wave in a viscoelastic material model

The present study examines the possibility of attenuating blood pulses by means of introducing prosthetic viscoelastic materials able to absorb energy and damp such pulses. Vascular prostheses made of polymeric materials modify the mechanical properties of blood vessels. The effect of these materials on the blood pulse propagation remains to be fully understood. Several materials for medical applications, such as medical polydimethylsiloxane or polytetrafluoroethylene, show viscoelastic behavior, modifying the original vessel stiffness and affecting the propagation of blood pulses. This study focuses on the propagation of pressure waves along a pipe with viscoelastic materials using the Maxwell and the Zener models. An expression of exponential decay has been obtained for the Maxwell material model and also for low viscous coefficient values in the Zener model. For relatively high values of the viscous term in the Zener model, the steepest part of the pulse can be damped quickly, leaving a smooth, slowly decaying wave. These mathematical models are critical to tailor those materials used in cardiovascular implants to the mechanical environment they are confronted with to repair or improve blood vessel function.     

Geometric and many-particle aspects of transmitter binding.

We investigate the various reactivity patterns possible when several transmitter molecules, released at one side of a synaptic gap, diffuse and bind reversibly to a single receptor at the other end. In the framework of a one-dimensional approximation, the complete time, reactivity, concentration and gap-width dependence are determined, using a rigorous theoretical and computational approach to the many-body aspects of this problem. The time dependence of the survival probability is found to consist of up to four phases. These include a short delay followed by gaussian, power-law, and exponential decay phases. A rigorous expression is derived for the long-time exponent and approximate expressions are obtained for describing the short-time gaussian phase.     

Exponential decay characteristics of the stochastic integer multiple neural firing patterns

Integer multiple neural firing patterns exhibit multi-peaks in inter-spike interval (ISI) histogram (ISIH) and exponential decay in amplitude of peaks, which results from their stochastic mechanisms. But in previous experimental observation that the decay in ISIH frequently shows obvious bias from exponential law. This paper studied three typical cases of the decay, by transforming ISI series of the firing to discrete binary chain and calculating the probabilities or frequencies of symbols over the whole chain. The first case is the exponential decay without bias. An example of this case was discovered on hippocampal CA1 pyramidal neuron stimulated by external signal. Probability calculation shows that this decay without bias results from a stochastic renewal process, in which the successive spikes are independent. The second case is the exponential decay with a higher first peak, while the third case is that with a lower first peak. An example of the second case was discovered in experiment on a neural pacemaker. Simulation and calculation of the second and third cases indicate that the dependency in successive spikes of the firing leads to the bias seen in decay of ISIH peaks. The quantitative expression of the decay slope of three cases of firing patterns, as well as the excitatory effect in the second case of firing pattern and the inhibitory effect in the third case of firing pattern are identified. The results clearly reveal the mechanism of the exponential decay in ISIH peaks of a number of important neural firing patterns and provide new understanding for typical bias from the exponential decay law.     

F/F deconvolution of fluorescence decay data

An approach for the deconvolution of multiexponential fluorescence decay data in which a single exponential decay is used in place of the usual excitation profile is described. For analysis by the method of moments, the resulting decay lifetimes are identical to those in the multiexponential decay, while the pre-exponential factors are a simple function of the true values and the parameters of the single exponential decay. This approach, which we call the F/F deconvolution method, is capable of eliminating the errors in decay analyses which arise from the wavelength dependence of the instrument response function.     

Decay of the slow calcium current in twitch muscle fibers of the frog is influenced by intracellular EGTA

The mechanism(s) of the decay of slow calcium current (ICa) in cut twitch skeletal muscle fibers of the frog were studied in voltage-clamp experiments using the double vaseline-gap technique. ICa decay followed a single exponential in 10 mM external Ca2+ and 20 mM internal EGTA solutions in all pulse protocols tested: single depolarizing pulses (activation protocol), two pulses (inactivation protocol), and during a long pulse preceded by a short prepulse (400 ms) to 80 mV (tail protocol). In single pulses the rate constant of ICa decay was approximately 0.75 s-1 at 0 mV and became faster with larger depolarizations. ICa had different amplitudes during the second pulses of the inactivation protocol (0 mV) and of the tail protocol (-20 to 40 mV) and had similar time constants of decay. The time constant of decay did not change significantly at each potential after replacing 10 mM Ca2+ with a Ca2+-buffered solution with malate. With 70 mM intracellular EGTA and 10 mM external Ca2+ solutions, ICa also decayed with a single-exponential curve, but it was about four times faster (approximately 3.5 s-1 at 0 mV pulse). In these solutions the rate constant showed a direct relationship with ICa amplitude at different potentials. With 70 mM EGTA, replacing the external 10 mM Ca2+ solution with the Ca2+-buffered solution caused the decay of ICa to become slower and to have the same relationship with membrane potential and ICa amplitude as in fibers with 20 mM EGTA internal solution. The mechanism of ICa decay depends on the intracellular EGTA concentration: (a) internal EGTA (both 20 and 70 mM) significantly reduces the voltage dependence of the inactivation process and (b) 70 mM EGTA dramatically increases the rate of tubular calcium depletion during the flow of ICa.     

Time-resolved fluorescence spectroscopy of spinach chloroplast

Picosecond fluorescent kinetics and time-resolved spectra of spinach chloroplast were measured at room temperature and low temperatures. The measurement is conducted with 530 nm excitation at an average intensity of 2 · 10¹⁴ photons/cm², pulse and at a pulse separation of 6 ns for the 100 pulses used. The 685 nm fluorescent kinetics was found to decay with two components, a fast component with a 56 ps lifetime, and a slow component with a 220 ps lifetime. The 730 nm fluorescent kinetics at room temperature is a single exponential decay with a 100 ps lifetime. The 730 nm fluorescence lifetime was found to increase by a factor of 6 when the temperature was lowered from room temperature to 90 K, while the 685 and 695 nm fluorescent kinetics were unchanged. The time-resolved spectra data obtained within 10 ps after excitation is consistent with the kinetic data reported here. A two-level fluorescence scheme is proposed to explain the kinetics. The effect of excitation with high light intensity and multiple pulses is discussed.     

Kinetic evidence for two Na channels in frog skeletal muscle

The kinetics of voltage-clamped sodium currents were studied in frog skeletal muscle. Sodium currents in frog skeletal muscle activate and inactivate following an initial delay in response to a depolarizing voltage pulse. Inactivation occurs via a double exponential decay exhibiting fast and slow components for virtually all depolarizing pulses used.The deactivation of Na currents exhibits two exponential components, one decaying rapidly, while the other decays slowly in time; the relative amplitude of the two components changes with the duration of the activating pulse. The two deactivation phases remain after pharmacological elimination of inactivation.In individual fibers, the percent amplitude of the slow inactivation component correlates with the percent amplitude of the slow deactivation component.Tetrodotoxin differentially blocks the slow deactivation component.These observations are interpreted as the activation, inactivation and deactivation of two subtypes (fast and slow) of Na channels.Studies of the slow deactivation phase magnitude vs the duration of the eliciting pulse provide a way to determine the kinetics of the slow Na channel in muscle.Ammonium substitution for Na in the Ringer produces a voltage dependent activation and inactivation of current which exhibits only one decay phase, and eliminates the slow decay phase of current, suggesting that adjustments of the ionic environment of the channels can mask the presence of one of the channel subtypes.     

Soft tissue attenuation of acoustic emission pulses

The soft tissue attenuation of acoustic emission signals was measured by transmitting pulses through volunteers and measuring the decay of the waveform characteristics of the pulse as a function of the thickness of the interposed tissue. Waveform characteristics of the received signal (signal duration, number of counts, peak amplitude, energy, and rise time) demonstrated an exponential decrease with increasing tissue thickness. The decrease appeared insensitive to the frequency of the pulse within the range of 50 to 600 KHz.     

Investigation of the structural determinants of the intrinsic fluorescence emission of the trp repressor using single tryptophan mutants.

The fluorescence decay properties of wild-type trp repressor (TR) have been characterized by carrying out a multi-emission wavelength study of the frequency response profiles. The decay is best analyzed in terms of a single exponential decay near 0.5 ns and a distribution of lifetimes centered near 3-4 ns. By comparing the recovered decay associated spectra and lifetime values with the structure of the repressor, tentative assignments of the two decay components recovered from the analysis to the two tryptophan residues, W19 and W99, of the protein have been made. These assignments consist of linking the short, red emitting component to emission from W99 and most of the longer bluer emitting lifetime distribution to emission from W19. Next, single tryptophan mutants of the repressor in which one of each of the tryptophan residues was substituted by phenylalanine were used to confirm the preliminary assignments, inasmuch as the 0.5-ns component is clearly due to emission from tryptophan 99, and much of the decay responsible for the recovered distribution emanates from tryptophan 19. The data demonstrate, however, that the decay of the wild-type protein is not completely resolvable due both to the large number of components in the wild-type emission (at least five) as well as to the fact that three of the five lifetime components are very close in value. The fluorescence decay of the wild-type decay is well described as a combination of the components found in each of the mutants. However, whereas the linear combination analysis of the 15 data sets (5 from the wild-type and each mutant) yields a good fit for the components recovered previously for the two mutants, the amplitudes of these components in the wild-type are not recovered in the expected ratios. Because of the dominance of the blue shifted emission in the wild-type protein, it is most likely that subtle structural differences in the wild-type as compared with the mutants, rather than energy transfer from tryptophan 19 to 99, are responsible for this failure of the linear combination hypothesis.     

The resealing process of lipid bilayers after reversible electrical breakdown

The resealing process of lipid bilayer membranes after reversible electrical breakdown was investigated using two voltage pulses switched on together. Electrical breakdown of the membranes was induced with a voltage pulse of high intensity and short duration. The time course of the change in membrane conductance after the application of the high (short) voltage pulse was measured with a longer voltage pulse of low amplitude. The decrease in membrane conductance during the resealing process could be fitted to a single exponential curve with a time constant of 10-2 μs in the temperature range between 2 and 20°C. The activation energy for this exponential decay process was found to be about 50 kJ/mol, which might indicate a diffusion process. Above 25°C the resealing process is controlled by two exponential processes.The data obtained for the time course of the resealing process can be explained in terms of pore formation in the membranes in response to the high electrical field strength. A radius of about 4 nm is calculated for the initial pore size. From the assumed exponential change of the pore area with progressive resealing time a diffusion constant of 10^?8 cm²/s for lateral lipid diffusion can be estimated.     

Delays in inactivation development and activation kinetics in myxicola giant axons

Na inactivation was studied in Myxicola (two-pulse procedure, 6-ms gap between conditioning and test pulses). Inactivation developed with an initial delay (range 130-817 microseconds) followed by a simple exponential decline (time constant tau c). Delays (deviations from a simple exponential) are seen only for brief conditioning pulses were gNa is slightly activated. Hodgkin-Huxley kinetics with series resistance, Rs, predict deviations from a simple exponential only for conditioning pulses that substantially activate gNa. Reducing INa fivefold (Tris substitution) had no effect on either tau c or delay. Delay in not generated by Rs or by contamination from activation development. The slowest time constant in Na tails is approximately 1 ms (Goldman and Hahin, 1978) and the gap was 6 ms. Shortening the gap to 2 ms had no effect on either tau c or delay. Delay is a true property of the channel. Delay decreased with more positive conditioning potentials, and also decreased approximately proportionally with time to peak gNa during the conditioning pulse, as expected for sequentially coupled activation and inactivation. In a few cases the difference between Na current values for brief conditioning pulses and the tau c exponential could be measured. Difference values decayed exponentially with time constant tau m. The inactivation time course is described by a model that assumes a process with the kinetics of gNa activation as a precursor to inactivation.     

Sodium channel inactivation in the crayfish giant axon. Must channels open before inactivating?

Experiments on sodium channel inactivation kinetics were performed on voltage-clamped crayfish giant axons. The primary goal was to investigate whether channels must open before inactivating. Voltage-clamp artifacts were minimized by the use of low-sodium solutions and full series resistance compensation, and the spatial uniformity of the currents was checked with a closely spaced pair of electrodes used to measure local current densities. For membrane potentials between -40 and +40 mV, sodium currents decay to zero with a single exponential time-course. The time constant for decay is a steep function of membrane potential. The time-course of inactivation measured with the double-pulse method is very similar to the decay of current at the same potential. Steady-state inactivation curves measured with different test pulses are identical. The time-course of double pulse inactivation shows a lag that roughly correlates with the opening of sodium channels, but detailed comparisons with the time course of the prepulse current suggest that it is not strictly necessary for channels to open before inactivating. Measurements of the potential dependence of the integral of sodium conductance area also inconsistent with the simplest cases of models in which channels must open before inactivating.     

Evidence for an inherent rhythm in pulsatile LH release in ovariectomized cows

Luteinizing hormone levels were measured in blood samples collected at 5 minute (min) intervals for 3 hours (hr) during the a.m. and p.m. of 3 consecutive days from long-term ovariectomized cows. Levels of LH fluctuated in a pulsatile manner in all animals. During the pulses, LH levels increased rapidly (2.5 to 6.0 ng/ml). Following the rapid increase, a more gradual exponential decline was observed. The interval between pulses was consistent both within and between days of blood sample collection within cows. From the results we suggest that each cow may have an inherent consistent rhythmic pattern of LH release in the absence of an ovarian source of hormones.     

A nomogram for deconvolution of single exponential fluorescence decays.

An extremely rapid technique for deconvolving single exponential luminescence decay data is described that involves essentially no mathematical manipulation of the experimental data. The method permits "real time" measurement of deconvolved luminescence lifetimes with conventional pulsed, lifetime-fluorometers and phosphorimeters. The method assumes that the true luminescence decay of the chromophore is accurately represented by a single exponential decay function.     

Amplifiable DNA from gram-negative and gram-positive bacteria by a low strength pulsed electric field method

An efficient electric field-based procedure for cell disruption and DNA isolation is described. Isoosmotic suspensions of Gram-negative and Gram-positive bacteria were treated with pulsed electric fields of <60 V/cm. Pulses had an exponential decay waveform with a time constant of 3.4 µs. DNA yield was linearly dependent on time or pulse number, with several thousand pulses needed. Electrochemical side-effects and electrophoresis were minimal. The lysates contained non-fragmented DNA which was readily amplifiable by PCR. As the method was not limited to samples of high specific resistance, it should be applicable to physiological fluids and be useful for genomic and DNA diagnostic applications.     

Potentiometric titration of Photosystem II fluorescence decay kinetics in spinach chloroplasts

The fluorescence yield of chloroplasts reflects the redox state of the electron acceptor of the Photosystem II reaction center, with increasing yield as the acceptor is reduced. Chemical reductive titrations of fluorescence yield in chloroplasts at room temperature indicate two distinct midpoint potentials, suggesting the possibility of Photosystem II electron acceptor heterogeneity. We have carried out a potentiometric titration of the fluorescence decay kinetics in spinach chloroplasts using a continuous mode-locked dye laser with low-intensity excitation pulses and a picosecond-resolution single-photon timing system. At all potentials the fluorescence decay is best described by three exponential components. As the potential is lowered, the slow phase changes 30-fold in yield with two distinct midpoint potentials, accompanied by a modest (3-fold) increase in the lifetime. The titration curve for the slow component of the fluorescence decay of spinach chloroplasts is best characterized by two single-electron redox reactions with midpoint potentials at pH 8.0 of +119 and ?350 mV, with corresponding relative contributions to the fluorescence yield of 49 and 51%, respectively. There is little change in the fast and middle components of the fluorescence decay. We found that the oxidized form of the redox mediator 2-hydroxy-1,4-naphthoquinone preferentially quenches the fluorescence, causing an anomalous decrease in the apparent midpoint of the high-potential transition. This effect accounts for a significant difference between the midpoint potentials that we observe and some of those previously reported. The selective effect of reduction potentials on particular fluorescence decay components provides useful information about the organization and distribution of the Photosystem II electron acceptor.