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Biomedical subjects

B W Madsen

Publications and source records attributed to B W Madsen.

At least 19 recordsLinked to original sources
PubMed1992

Level of cytosolic free calcium during acetaminophen toxicity in mouse hepatocytes.

It has been suggested that elevated cytosolic free calcium plays a key role in acetaminophen-induced cell death. The present study has examined the effect of a toxic concentration of acetaminophen on cytosolic free calcium in single mouse hepatocytes, using the dye fura-2 and video imaging fluorescence microscopy. Cytosolic free calcium was calculated from the ratio of emitted fluorescence at greater than 475 nm produced by excitation at 340 and 380 nm, using a double-intensified silicon target camera and digital image processing. In the presence of 5 mM acetaminophen, cell death did not occur for 2 hr, but the toxic lesion that ultimately killed the cells occurred as early as 1 hr. If cytosolic free calcium plays an important role in these toxic events, it would be expected to increase during this period. However, during a 2-hr exposure, cytosolic free calcium concentration in cells exposed to acetaminophen was not different from control. In hepatocytes incubated for longer than 2 hr, the calcium concentration increased shortly before loss of cell viability (i.e., as a late event), consistent with an influx of calcium through a damaged cell membrane. This late increase in calcium occurred well after the appearance of cell surface blebs. The data suggest that there is no sustained change in cytosolic free calcium in acetaminophen injury either before or during the time when irreversible toxic events occur in hepatocytes.

Acetaminophen↗
PubMed1991

Kinetics of (+)-tubocurarine blockade at the neuromuscular junction.

1. Although (+)-tubocurarine (Tc) is classically considered to be a competitive antagonist at the neuromuscular junction, kinetic details of the interaction remain unclear. 2. We studied the competitive action of Tc on the nicotinic receptor at the frog neuromuscular junction using a quantitative analysis of the generation phase of miniature endplate currents (m.e.p.cs) recorded in Ringer solution (20 degrees C) under voltage clamp (-90 mV) in the absence or presence of 1-5 microM Tc. Under control conditions four neurotransmission parameters were estimated by non-linear regression using a mathematical model of synaptic transmission incorporating transmitter release, diffusion, hydrolysis, receptor binding and channel gating. These parameters were then used in a further regression to estimate binding rate constants for Tc at the same endplate. Allowance was made for open channel block by Tc, which under the conditions of this study was only a small component of total blockade. 3. The results suggest that Tc binds to the two agonist recognition sites on the nicotinic receptor with equal affinity (stoichiometric KDs of 2.2 and 8.8 microM), and that most of the functional blockade at concentrations up to 5 microM is due to occupancy of only one site. 4. The association rate constant for Tc binding to sites on the nicotinic acetylcholine receptor appears to be very fast (k+D = 8.9 x 10(8) M-1 s-1) and comparable to that for acetylcholine (ACh). 5. In the brief time during which an m.e.p.c. is generated (approximately 200 microseconds, reversal of Tc blockade by transiently high concentrations of ACh seems to be kinetically limited.

Acetylcholine↗
PubMed1991

Naltrexone modulation of nicotinic acetylcholine receptor activity.

The narcotic antagonist naltrexone (NTX) has both depressant and excitatory effects on nicotinic acetylcholine receptor activity, and the present study was primarily concerned with mechanisms involved in the latter modulatory action. Single channel data were recorded in cell-attached mode from cultured embryonic chick skeletal muscle myotubes at 10 degrees C under control conditions (0.15 or 0.3 microM acetylcholine, ACh) or in the presence of NTX (0.15 microM ACh plus 0.1-5 microM NTX). Distributions of open and closed times indicated that there were at least two open and four closed channel states in all cases, and evidence for at least two gateways between the open and closed classes was provided by autocorrelation data. In the absence of NTX the proportion of long (greater than 2 msec) openings increased with increasing ACh concentration, suggesting that the channel in both the mono- and biliganded forms of the receptor could open. Three possible six-state models of channel kinetics which were compatible with these findings could not be distinguished on the basis of conventional Markov modeling of open and closed times; however when account was taken of burst distributions, one model was clearly superior. Estimated transition rates in this model showed that enhanced receptor activity in the presence of NTX was due mainly to increased cooperativity of ACh binding. The results suggest that in the chick nicotinic ACh receptor, low micromolar concentrations of NTX may cause enhancement and blockade of activity by binding to a site which is allosterically coupled to several activation and gating processes.

Acetylcholine↗
PubMed1990

Ethanol enhancement of a calcium-activated potassium current in an identified molluscan neuron.

The effects of ethanol (5-50 mM) on cell F1 in the right parietal ganglion of Helix aspersa were studied electrophysiologically. In normal physiological solution ethanol depressed both spontaneous action potential duration and frequency by enhancement of the repolarization and after-hyperpolarization phases respectively. Depolarization under voltage-clamp in Na-free solution produced an outward current which peaked at about 100 ms and decayed to 75% of peak by 250 ms. Variation of external K+ and Ca2+ concentrations and blockade of Ca current with Co2+ suggests that this current, which is increased by more than 50% with 5 mM ethanol, is a Ca-activated K current. These results add to evidence that a variety of ion channels, depending on cell type and conditions, are affected by pharmacologically relevant concentrations of ethanol.

Action Potentials↗
PubMed1990

Graphs, random sums, and sojourn time distributions, with application to ion-channel modeling.

This paper considers the distribution of a sojourn time in a class of states of a stochastic process having finite discrete state space where sojourn times in any individual state are independent and identically distributed, and transitions between states follow a Markov chain. The state space and possible transitions of the process are represented by a graph. Class sojourn time distributions are derived by modifying this graph using 'composition' of states, defining a new Markov chain on the modified graph, and expressing the sojourn time in a composition state as a random sum. Appropriate compositions are chosen according to the possible "cores" of sojourns in the particular class, where a core describes the structure of a sojourn in terms of a single state or a chain in the original graph. Graph methods provide an algorithmic basis for the derivation, which can be simplified by using symmetry results. Models of ion-channel kinetics are used throughout for illustration; class sojourn time distributions are important in such models because individual states are often indistinguishable experimentally. Markov processes are the special case where sojourn times in individual states are exponentially distributed. In this case kinetic parameter estimation based on the observed class sojourn time distribution is briefly discussed; explicit estimating equations applicable to sequential models of nicotinic receptor kinetics are given.

Ion Channels↗
PubMed1989

Superposition properties of independent ion channels.

Membrane patches usually contain several ion channels of a given type. However, most of the stochastic modelling on which data analysis (in particular, estimation of kinetic constants) is currently based, relates to a single channel rather than to multiple channels. Attempts to circumvent this problem experimentally by recording under conditions where channel activity is low are restrictive and can introduce bias; moreover, possibly important information on how multichannel systems behave will be missed. We have extended existing theory to multichannel systems by applying results from point process theory to derive some distributional properties of the various types of sojourn time that occur when a given number of channels are open in a system containing a specified number of independent channels in equilibrium. Separate development of properties of a single channel and the superposition of several such independent channels simplifies the presentation of known results and extensions. To illustrate the general theory, particular attention is given to the types of sojourn time that occur in a two channel system; detailed expressions are presented for a selection of models, both Markov and non-Markov.

Animals↗
PubMed1989

The interference of truncated with normal potassium channel subunits leads to abnormal behaviour in transgenic Drosophila melanogaster.

The Shaker locus of Drosophila melanogaster encodes a family of A-type potassium channel subunits. Shaker mutants behave as antimorphs in gene dosage tests. This behaviour is due to the production of truncated A-channel subunits. We propose that they interfere with the function of their normal counterpart by forming multimeric A-channel structures. This hypothesis was tested by constructing transgenic flies carrying a heat-inducible gene encoding a truncated A-type potassium channel subunit together with a normal wild type doses of A-type potassium channel subunits. The altered subunit leads at larval, pupal or adult stages to the transformation of wild type into Shaker flies. The transformed flies exhibited a heat-inducible abnormal leg shaking behaviour and a heat-inducible facilitated neurotransmitter release at larval neuromuscular junctions. By the overexpression of an aberrant A-channel subunit the normal behaviour of transgenic D. melanogaster can be altered in a predictable way.

Amino Acid Sequence↗
PubMed1989

Estimation of single channel kinetic parameters from data subject to limited time resolution.

The limited responsiveness of single-channel recording systems results in some brief events not being detected, and if this is ignored parameter estimation from the observed data will be biased. Statistical methods of correcting for this limited time resolution in a two-state Markov model have been proposed by Neher (1983. J. Physiol. (Lond.). 339:663-678) and by Colquhoun and Sigworth (1983. Single Channel Recording. 191-263). However, a numerical study by Blatz and Magleby (1986. Biophys. J. 49:967-980) indicated differences of 3-40% in the corrected values given by the two techniques. Here we explain why Neher's method produces biased results and the Colquhoun and Sigworth approach, which is no more difficult, provides reasonably accurate estimates.

Ion Channels↗
PubMed1988

Statistical inference from single channel records: two-state Markov model with limited time resolution.

Though stochastic models are widely used to describe single ion channel behaviour, statistical inference based on them has received little consideration. This paper describes techniques of statistical inference, in particular likelihood methods, suitable for Markov models incorporating limited time resolution by means of a discrete detection limit. To simplify the analysis, attention is restricted to two-state models, although the methods have more general applicability. Non-uniqueness of the mean open-time and mean closed-time estimators obtained by moment methods based on single exponential approximations to the apparent open-time and apparent closed-time distributions has been reported. The present study clarifies and extends this previous work by proving that, for such approximations, the likelihood equations as well as the moment equations (usually) have multiple solutions. Such non-uniqueness corresponds to non-identifiability of the statistical model for the apparent quantities. By contrast, higher-order approximations yield theoretically identifiable models. Likelihood-based estimation procedures are developed for both single exponential and bi-exponential approximations. The methods and results are illustrated by numerical examples based on literature and simulated data, with consideration given to empirical distributions and model control, likelihood plots, and point estimation and confidence regions.

Ion Channels↗
PubMed1988

Verapamil, neuromuscular transmission and the nicotinic receptor.

The effect of verapamil on neuromuscular transmission was studied in the frog by analysing ionophoretic endplate current (iEPC) trains and the growth and decay phases of miniature endplate currents (mepcs). In addition, single channel data on the interaction of verapamil with the nicotinic acetylcholine receptor were obtained from cultured embryonic chick skeletal muscle cells. Verapamil caused both open and closed channel blockade in the iEPC trains. Mepc amplitude was decreased at low micromolar concentrations, and at higher concentrations there was also accelerated mepc decay indicating open channel blockade. The latter effect could not be explained by a sequential channel occlusion mechanism. Analysis of the mepc rising phase showed that low micromolar concentrations of the drug decreased the pool of receptors which could be activated. Single channel data confirmed the specific interaction of verapamil with the nicotinic receptor, showing closed channel blockade at low concentrations, and at higher levels the shortening of open channel lifetime. It is suggested that both forms of blockade may involve desensitization processes.

Animals↗
PubMed1988

Stochastic modelling of a single ion channel: an alternating renewal approach with application to limited time resolution.

Stochastic models of ion channels have been based largely on Markov theory where individual states and transition rates must be specified, and sojourn-time densities for each state are constrained to be exponential. This study presents an approach based on random-sum methods and alternating-renewal theory, allowing individual states to be grouped into classes provided the successive sojourn times in a given class are independent and identically distributed. Under these conditions Markov models form a special case. The utility of the approach is illustrated by considering the effects of limited time resolution (modelled by using a discrete detection limit, xi) on the properties of observable events, with emphasis on the observed open-time (xi-open-time). The cumulants and Laplace transform for a xi-open-time are derived for a range of Markov and non-Markov models; several useful approximations to the xi-open-time density function are presented. Numerical studies show that the effects of limited time resolution can be extreme, and also highlight the relative importance of the various model parameters. The theory could form a basis for future inferential studies in which parameter estimation takes account of limited time resolution in single channel records. Appendixes include relevant results concerning random sums and a discussion of the role of exponential distributions in Markov models.

Ion Channels↗
PubMed1987

Neurotransmission parameters estimated from miniature endplate current growth phase.

A numerical model of miniature endplate current (mepc) generation was fitted to the rising phase of individual mepcs recorded at the frog neuromuscular junction, and estimates of 6 transmission parameters were obtained. Model fitting was enabled by assuming literature values for geometric parameters and determining single channel current by noise analysis, the channel closing rate constant from the mepc decay, and acetylcholine hydrolysis parameters from mepcs recorded in esterase-blocked endplates. Under control conditions, mean estimates were: number of molecules in a quantum = 29,000, diffusion coefficient = 2.8 X 10(-6) cm2s-1, endplate receptor density = 8500 micron-2, forward binding rate constant = 7.6 X 10(8) M-1s-1, equilibrium dissociation constant = 58 microM and channel opening rate constant = 8100 s-1.

Animals↗
PubMed1986

Stochastic modelling of a single ion channel: interdependence of burst length and number of openings per burst.

Previous modelling of single channel behaviour based on Markov processes has been concerned mainly with means and marginal distributions of particular quantities. The present study derives the joint distribution, conditional distributions, and associated mean values for the burst length (T) and the number (N) of openings per burst in two simple three-state models in which bursting is possible, one for an agonist-only and one for a channel blocking mechanism. In both models the conditional mean burst length (E(T/N = r)) increases linearly as a function of the number of openings per burst, while the conditional mean number of openings per burst (E(N/T = x)) is a nonlinear strictly increasing function of burst length, which is asymptotically linear for large burst length. The asymptotic intercept for each model is shown to be less than, equal to, or greater than unity according as mean channel closed-time is less than, equal to, or greater than mean open-time. For parameter values typical of the nicotinic receptor, this intercept is less than unity for the agonist-only model and greater than unity for the blocking model. As a result of the dependence between the number of openings per burst and burst length, it is shown that experimental estimates of the unconditional mean number of openings per burst may be biased if bursts of only short duration are collected.

Animals↗
PubMed1985

Distribution of exponentiality in miniature endplate current decay.

Exponential functions are commonly used to describe miniature endplate current (MEPC) decay; under control conditions a monoexponential is usually regarded as sufficient, whereas in the presence of some drugs a biexponential may be necessary. Using an automated fitting procedure which estimated exponential parameters and the period of decay from peak to baseline, a unimodal distribution of curvature was found for control MEPCs recorded in frog sartorius muscle. The majority of MEPCs were of monoexponential form, while the remainder were biexponential with either less or greater curvature than expected for a simple exponential (hypoexponential or hyperexponential, respectively). The proportion of MEPCs in each of the 3 groups was constant for a given endplate but varied between endplates. A possible explanation for this phenomenon could be differences in synaptic geometry within and between endplates. The increased curvature of individual MEPCs in the hyperexponential group was analyzed by assuming a sequential model for agonist blockade or desensitization, and calculating closing and reopening rate constants. These rate constants were altered by procaine and verapamil (100 microM) in a manner consistent with blockade of the acetylcholine receptor by enhancement of agonist-induced desensitization.

Animals↗
PubMed1985

The narcotic antagonist naltrexone has a biphasic effect on the nicotinic acetylcholine receptor.

It is known that narcotic antagonists interact with many cholinergic pathways but less in known about specific mechanisms. Using neonatal rat myoballs to study single channel behaviour of the acetylcholinegated nicotinic receptor, it was found that micromolar concentrations of naltrexone had no effect on channel conductance but caused open channel blockade by increasing the flickering from the open to the closed state in a concentration-dependent manner. At micromolar concentrations of naltrexone, the frequency of channel opening was decreased and bursts were grouped in clusters, whereas at nanomolar levels the frequency of opening was increased. The sequential model for ion-channel blockade cannot explain these effects, and an alternative allosteric mechanism of action is proposed.

Acetylcholine↗
PubMed1985

Verapamil alters the amplitude and time course of miniature endplate current.

The effect of verapamil on neuromuscular transmission was examined by recording miniature endplate currents (mepcs) in voltage-clamped frog sartorius muscle fibres. In the presence of 100 microM verapamil, the amplitude and time constant of decay of the mepcs (tau D) were reduced to 68% and 55% of control respectively, and the normal voltage dependency of tau D was decreased. Part of the decrease in amplitude of the mepc was independent of changes in tau D because, on washout, recovery of tau D was more rapid than that of amplitude, and in some cells smaller concentrations of verapamil (1 and 10 microM) decreased amplitude without affecting tau D. Evidence of open and closed channel blockade by verapamil (5-20 microM) was obtained from ionophoretic end-plate current trains and it is proposed that these effects are mediated via an allosteric mechanism.

Animals↗