Sources of error in the channels ratio method for efficiency determination in liquid scintillation counting

The reliability of the channels ratio method for determining counting efficiency in liquid scintillation counting was investigated. It was found that the efficiency of counting gels, cloudy samples, two-phase samples, samples in which the radioactive material was precipitating, and samples on solid supports could not be reliably determined from a normal quench correction curve. A curve constructed from external standard channels ratios was unreliable when mixing different vial sizes and sample volumes, but one constructed from sample channels ratios was not. It was also found that variation in instrument performance can result in large errors unless samples and standards are counted together. Statistical error changed relatively little within the range of ratios 0.3 to 0.8.     

A computer programme for the calculation of radioactivity data from liquid-scintillation counters fitted with external standards

1. A method for transferring data from liquid-scintillation counters to automatic punched-card read-out is described. 2. A method of calibration of an external standard is presented that supplies sufficient information for the correction of quenched data by computer. 3. A computer programme in FORTRAN IV is described that calculates the data from one isotope, or two isotopes counted simultaneously, and that incorporates features for examining the reproducibility of the input data. 4. With the methods described, quench correction of samples containing either (3)H or (14)C was accurate until samples were quenched 70%. When the two isotopes were both present in one sample and counted simultaneously, the correction was accurate until the samples were quenched 60%. When quenching was greater than either 70 or 60% respectively, its correction was still possible but with slightly diminished accuracy and with greater variability.     

The surfactant Bio-Solv-BBS-3 as a scintillator in liquid scintillation counting

When the surfactant mixture Bio-Solv-BBS-3 is added to a scintillation solvent it acts as a primary scintillator in response to β emissions (and Compton electrons from γs). The fluorescence excitation threshold is higher and fluorescence yield is lower than those of the primary scintillators usually employed in scintillation counting. Presence of a surfactant in a sample containing ¹⁴C or more energetic βs will be counted at higher efficiency than would be indicated by a quench correction curve (efficiency vs sample channels ratios or external standard channels ratios) derived from standards not containing surfactant.     

MCMC estimation of Markov models for ion channels

Ion channels are characterized by inherently stochastic behavior which can be represented by continuous-time Markov models (CTMM). Although methods for collecting data from single ion channels are available, translating a time series of open and closed channels to a CTMM remains a challenge. Bayesian statistics combined with Markov chain Monte Carlo (MCMC) sampling provide means for estimating the rate constants of a CTMM directly from single channel data. In this article, different approaches for the MCMC sampling of Markov models are combined. This method, new to our knowledge, detects overparameterizations and gives more accurate results than existing MCMC methods. It shows similar performance as QuB-MIL, which indicates that it also compares well with maximum likelihood estimators. Data collected from an inositol trisphosphate receptor is used to demonstrate how the best model for a given data set can be found in practice.     

Nonselective ionic channels inAplysia neurones

Summary Single-channel recordings from outside-out patches ofAplysia neurones in K-free solutions revealed the presence in most membrane patches of ionic channels showing surprising selectivity properties, as deduced from reversal potential measurements. After complete substitution of external NaCl by mannitol (in the presence of internal CsCl), these channels are more permeable to Cl than to Cs, but are also slightly permeable to Cs:P _Cl/P _Cs=4. Furthermore, in the presence of external NaCl, their ability to discriminate cations from anions seems lower than in external mannitol. Substitutions of external Cl by various anions showed that the channels are more permeable to NO₃ than to Cl, and that they are appreciably permeable to isethionate, SO₄ and methanesulfonate. Their elementary conductance is about 100 pS in 600mm symmetrical Cl. However, different conductance states (usually 2 or 3) can often be detected in the same membrane patch. By using voltage ramps, we established theI–V curves corresponding to each of these states and found small but significant differences between the reversal potentials of each state.     

Entropic particle transport in periodic channels

The dynamics of Brownian motion has widespread applications extending from transport in designed micro-channels up to its prominent role for inducing transport in molecular motors and Brownian motors. Here, Brownian transport is studied in micro-sized, two-dimensional periodic channels, exhibiting periodically varying cross-sections. The particles in addition are subjected to an external force acting alongside the direction of the longitudinal channel axis. For a fixed channel geometry, the dynamics of the two-dimensional problem is characterized by a single dimensionless parameter which is proportional to the ratio of the applied force and the temperature of the particle environment. In such structures entropic effects may play a dominant role. Under certain conditions the two-dimensional dynamics can be approximated by an effective one-dimensional motion of the particle in the longitudinal direction. The Langevin equation describing this reduced, one-dimensional process is of the type of the Fick-Jacobs equation. It contains an entropic potential determined by the varying extension of the eliminated channel direction, and a correction to the diffusion constant that introduces a space dependent diffusion. Different forms of this correction term have been suggested before, which we here compare for a particular class of models. We analyze the regime of validity of the Fick-Jacobs equation, both by means of analytical estimates and the comparisons with numerical results for the full two-dimensional stochastic dynamics. For the nonlinear mobility we find a temperature dependence which is opposite to that known for particle transport in periodic potentials. The influence of entropic effects is discussed for both, the nonlinear mobility and the effective diffusion constant.     

基于机械敏感离子通道的超声神经调制研究进展

机械敏感离子通道（mechanosensitive channels,MSCs）是一类分布于各种细胞膜上可将细胞受到的机械刺激转化为电信号或化学信号的特殊膜蛋白。由于机械敏感通道所具有的特性,使其成为超声调控的重要潜在靶点。超声由于具有良好的空间分辨率和聚焦效果,并且理论上可实现无创条件下的全脑范围定位,具有用于进行物理性神经调制和治疗神经系统疾病的潜力。近年来,越来越多的离子通道被鉴定出具有机械敏感特性,但其中有明确报道可以被超声激活的依然数量较少。此外,现阶段超声激励下机械敏感通道的开放过程和机制仍未被阐明。本文着重介绍了大电导机械敏感通道、瞬时受体电位通道、退化蛋白/上皮钠通道、双孔钾通道和Piezo通道等机械敏感离子通道在超声神经调制中的研究进展及其应用,为未来超声神经调制的深入研究和临床应用提供参考。     

Two types of potassium channels in murine T lymphocytes

The properties of two types of K+ channels in murine T lymphocytes are described on the basis of whole-cell and isolated-patch recordings using the gigohm-seal technique. Type l (standing for "lpr gene locus" or "large") channels were characterized mainly in T cells from mutant MRL/MpJ-lpr/lpr mice, in which they are present in large numbers. Type n ("normal") K+ channels are abundant and therefore most readily studied in concanavalin A-activated T cells from four strains of mice, MRL-+/+, CBA/J, C57BL/6J, and BALB/c. Type l channels, compared with type n, are activated at potentials approximately 30 mV more positive, and close much more rapidly upon repolarization. Type l channels inactivate more slowly and less completely than type n during maintained depolarization, but recover from inactivation more rapidly, so that little inactivation accumulates during repetitive pulses. Type l channels have a higher unitary conductance (21 pS) than type n (12 pS) and are less sensitive to block by external Co++, but are 100-fold more sensitive to block by external tetraethylammonium (TEA), with half-block of type l channels at 50-100 microM TEA compared with 8-16 mM for type n. TEA blocks both types of channels by reducing the apparent single channel current amplitude, with a dose-response relation similar to that for blocking macroscopic currents. Murine type n K+ channels resemble K+ channels in human T cells.     

Potassium channels as multi-ion single-file pores

A literature review reveals many lines of evidence that both delayed rectifier and inward rectifier potassium channels are multi-ion pores. These include unidirectional flux ratios given by the 2--2.5 power of the electrochemical activity ratio, very steeply voltage-dependent block with monovalent blocking ions, relief of block by permeant ions added to the side opposite from the blocking ion, rectification depending on E--EK, and a minimum in the reversal potential or conductance as external K+ ions are replaced by an equivalent concentration of T1+ ions. We consider a channel with a linear sequence of energy barriers and binding sites. The channel can be occupied by more than one ion at a time, and ions hop in single file into vacant sites with rate constants that depend on barrier heights, membrane potential, and interionic repulsion. Such multi-ion models reproduce qualitatively the special flux properties of potassium channels when the barriers for hopping out of the pore are larger than for hopping between sites within the pore and when there is repulsion between ions. These conditions also produce multiple maxima in the conductance-ion activity relationship. In agreement with Armstrong's hypothesis (1969. J. Gen. Physiol. 54:553--575), inward rectification may be understood in terms of block by an internal blocking cation. Potassium channels must have at least three sites and often contain at least two ions at a time.     

Calibration-curve-free quantitative PCR: a quantitative method for specific nucleic acid sequences without using calibration curves

We have developed a simple quantitative method for specific nucleic acid sequences without using calibration curves. This method is based on the combined use of competitive polymerase chain reaction (PCR) and fluorescence quenching. We amplified a gene of interest (target) from DNA samples and an internal standard (competitor) with a sequence-specific fluorescent probe using PCR and measured the fluorescence intensities before and after PCR. The fluorescence of the probe is quenched on hybridization with the target by guanine bases, whereas the fluorescence is not quenched on hybridization with the competitor. Therefore, quench rate (i.e., fluorescence intensity after PCR divided by fluorescence intensity before PCR) is always proportional to the ratio of the target to the competitor. Consequently, we can calculate the ratio from quench rate without using a calibration curve and then calculate the initial copy number of the target from the ratio and the initial copy number of the competitor. We successfully quantified the copy number of a recombinant DNA of genetically modified (GM) soybean and estimated the GM soybean contents. This method will be particularly useful for rapid field tests of the specific gene contamination in samples.     

Permeation through store-operated CRAC channels in divalent-free solution: potential problems and implications for putative CRAC channel genes

CRAC channels are key calcium conduits in both physiological and pathological states. Understanding how these channels are controlled is important as this will not only provide insight into a novel signal transduction pathway coupling intracellular stores to the channels in the plasma membrane, but might also be of clinical relevance. Determining the molecular identity of the CRAC channels will certainly be a major step forward. Like all Ca(2+)-selective channels, CRAC channels lose their selectivity in divalent-free external solution to support large monovalent Na(+) currents. This approach has provided new insight into channel permeation and selectivity, and identifies some interesting differences between CRAC channels and voltage-operated calcium channels (VOCCs). Studies in divalent-free solution are a double-edged sword, however. Electrophysiologists need to be wary because some of the conditions used to study I(CRAC) in divalent-free external solution, notably omission of Mg(2+)/Mg-ATP from the recording pipette solution, activates an additional current permeating through Mg(2+)-nucleotide-regulated metal ion current (MagNuM; TRPM7) channels. This channel underlies the large single-channel events that have been attributed to CRAC channels in the past and which have been used to as a tool to identify store-operated channels in native cells and recombinant expression systems.Are we any closer to identifying the elusive CRAC channel gene(s)? TRPV6 seemed a very attractive candidate, but one of the main arguments supporting it was a single-channel conductance in divalent-free solution similar to that for CRAC reported under conditions where MagNuM is active. We now know that the conductance of TRPV6 is approximately 200-fold larger than that of CRAC in native tissue. Moreover, it is unclear if TRPV6 is store-operated. Further work on TRPV6, particularly whether its single-channel conductance is still high under conditions where it apparently forms multimers with endogenous store-operated channels, and whether it is activated by a variety of store depletion protocols, will be helpful in finally resolving this issue.     

Ca(2+)-regulated ion channels

Due to its high external and low internal concentration the Ca(2+) ion is used ubiquitously as an intracellular signaling molecule, and a great many Ca(2+)-sensing proteins have evolved to receive and propagate Ca(2+) signals. Among them are ion channel proteins, whose Ca(2+) sensitivity allows internal Ca(2+) to influence the electrical activity of cell membranes and to feedback-inhibit further Ca(2+) entry into the cytoplasm. In this review I will describe what is understood about the Ca(2+) sensing mechanisms of the three best studied classes of Ca(2+)-sensitive ion channels: Large-conductance Ca(2+)-activated K(+) channels, small-conductance Ca(2+)-activated K(+) channels, and voltage- gated Ca(2+) channels. Great strides in mechanistic understanding have be made for each of these channel types in just the past few years.     

Na+ permeation and block of hERG potassium channels

The inactivation gating of hERG channels is important for the channel function and drug-channel interaction. Whereas hERG channels are highly selective for K+, we have found that inactivated hERG channels allow Na+ to permeate in the absence of K+. This provides a new way to directly monitor and investigate hERG inactivation. By using whole cell patch clamp method with an internal solution containing 135 mM Na+ and an external solution containing 135 mM NMG+, we recorded a robust Na+ current through hERG channels expressed in HEK 293 cells. Kinetic analyses of the hERG Na+ and K+ currents indicate that the channel experiences at least two states during the inactivation process, an initial fast, less stable state followed by a slow, more stable state. The Na+ current reflects Na+ ions permeating through the fast inactivated state but not through the slow inactivated state or open state. Thus the hERG Na+ current displayed a slow inactivation as the channels travel from the less stable, fast inactivated state into the more stable, slow inactivated state. Removal of fast inactivation by the S631A mutation abolished the Na+ current. Moreover, acceleration of fast inactivation by mutations T623A, F627Y, and S641A did not affect the hERG Na+ current, but greatly diminished the hERG K+ current. We also found that external Na+ potently blocked the hERG outward Na+ current with an IC50 of 3.5 mM. Mutations in the channel pore and S6 regions, such as S624A, F627Y, and S641A, abolished the inhibitory effects of external Na+ on the hERG Na+ current. Na+ permeation and blockade of hERG channels provide novel ways to extend our understanding of the hERG gating mechanisms.     

Voltage-dependent gating of veratridine-modified Na channels

Na channels of frog muscle fibers treated with 100 microM veratridine became transiently modified after a train of repetitive depolarizations. They open and close reversibly with a gating process whose midpoint lies 93 mV more negative than the midpoint of normal activation gating and whose time course shows no appreciable delay in the opening or closing kinetics but still requires more than two kinetic states. Like normal activation, the voltage dependence of the modified gating can be shifted by changing the bathing Ca2+ concentration. The instantaneous current-voltage relation of veratridine-modified channels is curved at potentials negative to -90 mV, as if external Ca ions produced a voltage-dependent block but also permeated. Modified channels probably carry less current than normal ones. When the concentration of veratridine is varied between 5 and 100 microM, the initial rate of modification during a pulse train is directly proportional to the concentration, while the rate of recovery from modification after the train is unaffected. These are the properties expected if drug binding and modification of channels can be equated. Hyperpolarizations that close modified channels slow unbinding. Allethrin and DDT also modify channels. They bind and unbind far faster than veratridine does, and their binding requires open channels.     

Reconstitution of expressed KCa channels from Xenopus oocytes to lipid bilayers.

Reconstitution of large conductance calcium-activated potassium (KCa) channels from native cell membranes into planar lipid bilayers provides a powerful method to study single channel properties, including ion conduction, pharmacology, and gating. Recently, KCa channels derived from the Drosophila Slowpoke (Slo) gene have been cloned and heterologously expressed in Xenopus oocytes. In this report, we describe the reconstitution of cloned and expressed Slo KCa channels from Xenopus oocyte membranes into lipid bilayers. The reconstituted channels demonstrate functional properties characteristic of native KCa channels. They possess a mean unitary conductance of approximately 260 pS in symmetrical potassium (250 mM), and they are voltage- and calcium-sensitive. At 50 microM Ca2+, their half-activation potential was near -20 mV; and their affinity for calcium is in the micromolar range. Reconstituted Slo KCa channels were insensitive to external charybdotoxin (40-500 nM) and sensitive to micromolar concentrations of external tetraethylammonium (KD = 158 microM, at 0 mV) and internal Ba2+ (KD = 76 microM, at 40 mV). In addition, they were blocked by internally applied "ball" inactivating peptide (KD = 480 microM, at 40 mV). These results demonstrate that cloned KCa channels expressed in Xenopus oocytes can be readily incorporated into lipid bilayers where detailed mechanistic studies can be performed under controlled internal and external experimental conditions.     

Voltage-gated cation and anion channels in mammalian Schwann cells and astrocytes

This article reviews some recent studies on the voltage-gated ion channels in the plasmalemma of the satellite cells of the peripheral and central nervous systems. Following the finding that rabbit Schwann cells exhibit a large binding capacity for saxitoxin (Ritchie and Rang, 1983) electrophysiological studies have shown that these cells not only express plasmalemmal voltage-gated sodium channels but also voltage-gated potassium channels (Chiu, Shrager and Ritchie, 1984; Shrager, Chiu and Ritchie, 1985). Whole-cell recording with the patch-clamp method reveals that the properties of these two kinds of channel are quite similar to those of the corresponding channels in the nodal axolemma, except that the peak current-voltage relation of the sodium channels is shifted about 30 mV in the depolarizing direction. Similar voltage-gated sodium and potassium channels exist in rat cultured astrocytes (Bevan et al., 1985). Furthermore, the outward current on depolarization in astrocytes has a component other than that carried in the potassium channels. About 75% of the total outward current is blocked by external TEA or internal caesium; and it is presumed to be a potassium current. The remainder, however, is insensitive to these potassium channel blocking agents; but it is abolished by exposure to the two stilbene sulphonates, DIDS and SITS (Gray and Ritchie, 1986). This remaining current persists in the presence of the large organic cation N-methyl-(+)-glucamine in the patch pipette. It is, however, reduced when the chloride of the external medium is replaced by methyl-sulphate, sulphate, or isethionate; and it is abolished when the external anion is gluconate (M.W., 190). The TEA-insensitive component of outward current in astrocytes thus seem to involve an influx of chloride ions through a voltage-gated channel whose diameter is such that anions larger than gluconate cannot pass. The current in the channels is neglible at potentials more negative than about -40 mV.     

Quantification of lipid mass by a liquid scintillation counting procedure following charring on thin-layer plates

A novel method for the densitometric measurement of charred lipid bands from thin-layer chromatograms using a liquid scintillation counter is described. Following suspension in a scintillator gel, the reduction in the external standard channels ratio was used as a measure of the quenching effect, and therefore density, of the charred material. The relationship between the external standard channels ratio and mass of the lipid was linear for all the common lipid classes up to about 100 μg although accurate interpolations of the calibration curves were possible up to at least 1 mg. The extent of charring of the neutral lipids did not appear to depend on the degree of unsaturation of the constituent fatty acids although in the case of the phospholipids significant differences in the extent of charring were observed between naturally occurring and completely saturated lecithins. Analysis of total lipid extracts by this method yielded results closely comparable with those obtained by other well-established quantification procedures. The sbility of this method to provide a quick and accurate lipid quantifieation procedure is discussed.     

Liquid scintillation counting of aqueous solutions of potassium salts in a Triton X-100/toluene scintillant

The use of a toluene/Triton X-100 scintillant for counting ¹⁴C in aqueous solutions of potassium salts including potassium hydroxide has been investigated. Suitable conditions for the counting of CO₂ entrapped in potassium hydroxide are described. Quench correction by automatic external standard channels ratio procedures has been found to be of value with optimised conditions of counting.     

Permeation of monovalent cations through the non-capacitative arachidonate-regulated Ca2+ channels in HEK293 cells. Comparison with endogenous store-operated channels

In a manner similar to voltage-gated Ca(2+) channels and Ca(2+) release-activated Ca(2+) (CRAC) channels, the recently identified arachidonate-regulated Ca(2+) (ARC) channels display a large monovalent conductance upon removal of external divalent cations. Using whole-cell patch-clamp recording, we have characterized the properties of these monovalent currents in HEK293 cells stably transfected with the m3 muscarinic receptor and compared them with the corresponding currents through the endogenous store-operated Ca(2+) (SOC) channels in the same cells. Although the monovalent currents seen through these two channels displayed certain similarities, several marked differences were also apparent, including the magnitude of the monovalent current/Ca(2+) current ratio, the rate and nature of the spontaneous decline in the currents, and the effects of external monovalent cation substitutions and removal of internal Mg(2+). Moreover, monovalent ARC currents could be activated after the complete spontaneous inactivation of the corresponding SOC current in the same cell. We conclude that the non-capacitative ARC channels share, with voltage-gated Ca(2+) channels and store-operated Ca(2+) channels (e.g. SOC and CRAC the general property of monovalent ion permeation in the nominal absence of extracellular divalent ions. However, the clear differences between the properties of these currents through ARC and SOC channels in the same cell confirm that these represent distinct conductances.