A comparative kinetic study on the conversion of fluoresceindiacetate to fluorescein in living cells and in vitro

Summary The kinetics of fluoresceindiacetate (FDA)-hydrolysis in erythrocytes, CHO-cells and homogenized cells was investigated by means of fluorescence spectroscopy. At a 10^–6 m FDA concentration the enzymatic conversion in the homogenized cells can be described by first order reactions. When studying intact cells, total kinetics requires the addition of a first order transport term. Consequently, the total hydrolytic process can be described by three exponentials. The following model was set up on the basis of the data obtained: FDA, which exists in two sterically differing conformations, reaches the cell via an active transport mechanism, where the two conformations are converted at different rates into fluorescein by an enzymatic reaction. Intracellular FDA-enrichment factors of 100–600 were derived. In addition, the action of chemical inhibitors and of elevated temperatures on the individual reaction steps was investigated.     

Evidence for conformeric states of Rhodopsin

Spectrophotometric measurements of metarhodopsin II appearance are made on five different kinds of rhodopsin preparations. Although the preparations differ greatly in their rhodopsin: phospholipid ratio, the meta II kinetics in all of them are strikingly similar in certain respects. Meta II appearance kinetics in all of the preparations are best described by two and only two exponentials. The ratio of these two rates is always about 5. The fast fraction: slow fraction ratio depends upon temperature. These fractions are reversibly convertible in the dark, and are interconverted on a time-scale which is long compared to the meta II appearance rate. It is shown that the kinetics of the earlier step in the bleaching sequence, viz., lumi- meta I, is also described by double exponentials. Again the ratio of rates is ca. 5 and the fast-slow fractions correspond to those found in the meta I meta II step. It is proposed that these facts support an hypothesis for the existence of two conformeric states of rhodopsin which are in thermal equilibrium. Thermodynamic parameters associated with this proposed equilibrium are presented.     

On the use of time constants as estimates of mean lifetimes in single channel data analysis

For Markov models of single channel kinetics, a sojourn time in a class of states has a density function which is usually a linear combination of exponential densities. There are many instances in the single channel literature where the time constants of exponentials fitted to sojourn time data have been used as estimated mean sojourn times in individual states, though the two may be very different. In the present study the nature and magnitude of this difference in the case of a two state class is illustrated analytically and numerically. The time constants should be viewed at best as approximations, possibly poor, to the estimated mean sojourn times. Estimates of kinetic parameters cannot in general be obtained explicitly from the fitted parameters of the density alone. However, this is shown to be possible in some special cases and enables direct estimation of, for example, the channel opening rate constant (or an upper limit to the estimate of in the case of multiple channels) in standard sequential three or four state models of nicotinic receptor kinetics, using only the fitted parameters of the closed-time density. Offprint requests to: R. O. Edeson     

The excitatory glutamate-activated channel recorded in cell-attached and excised patches from the membranes of tail,leg and stomach muscles of crayfish

Summary Glutamate activated, excitatory single channel currents were recorded from 5 different muscles of crayfish (Austropotamobius torrentium) from abdomen, legs and stomach. Cell-attached and outside-out excised membrane patches with G-seals were studied. At –70 mV membrane potential and 19 °C, single channel currents activated by 0.5 mM glutamate had an amplitude of –7.6 pA, a mean open time of 0.22 ms and a mean burst length of 0.58 ms. These values did not show significant differences in all muscles investigated. The distributions of open times and of burst durations were described by single exponentials. The distributions of closed times could be fitted only by at least two exponentials. The short component of on average 0.1 ms represented closings within bursts, a longer component of on average 0.9 ms grouping of bursts. Burst durations (but not individual open times) increased with rising glutamate concentration: the relative open time of the channel was approximately proportional to glutamate concentration between 0.1 and 5 mM. The channels described above could not be activated by the glutamate analogues kainate and NMDA, but were about 10 times more sensitive to quisqualate than to glutamate. Quisqualate elicited single channel currents of the same amplitude as those triggered by glutamate. Compared at the same concentrations, channel open times and burst durations were about 4 times longer in quisqualate than in glutamate. A model describing the kinetics of the glutamate-activated excitatory channels is discussed. In addition, a type of Ca-independent, depolarization-activated K⁺-channel is reported.     

Light-activated single channel currents in Limulus ventral nerve photoreceptors

Light-activated single channel currents were measured in Limulus ventral photoreceptors in the cell-attached configuration at 14°C. The results show three channel types with conductances of 6.2, 10.4 and 28.7 pS. The most active channels have the 10 pS conductance; the open time histograms of these channels could be best fitted by the sum of two exponentials with time constants (and weights) of 0.58 ms (0.78) and 4.32 ms (0.22), suggesting two populations of channels or two open states. The mean open time was 1.38 ms. The open time histogram of the channels with the 29 pS conductance could be best fitted by a single exponential with a time constant of 3.35 ms. First latencies of the 10 pS channels were between 40 and 280 ms but those of the 29 pS conductance channels were 300 ms. These findings suggest that the two channel types are gated by two different intracellular transmitters or mechanisms. Offprint requests to: K. Nagy     

The kinetics and distribution of potassium in the toad bladder

Summary Short-circuited toad bladders were loaded with K⁴² from the serosal medium in a chamber stirred by rotating impellers. The chambers were washed with nonradioactive Ringer's, and all effluent was collected from the two chambers separately for 30-sec intervals for 30 min and counted. Count rate data were fitted to sums of exponentials and analyzed by the methods of compartmental analysis. There are at least two potassium compartments, with half times of 2.42 and 18.48 min. These compartments contain 2.01 and 7.93 Equiv×100 mg dry weight^–1, respectively, amounting to 45% of total tissue K. Determinations of the rate of buildup of tracer in the tissue after immersing the bladder in K⁴² Ringer's confirmed the fact that only a portion of tissue K exchanges even after one hr; thus the rest must have a considerably slower exchange rate. Fluxes at the inside border are far greater than at the outside, as predicted from electrophysiological data. Of the two tissue compartments, only the smaller and faster one appears to be related to Na transport, since only this compartment shows changes after Na removal (unidirectional serosal K fluxes decrease by some 50%) or after the addition of vasopressin (serosal fluxes and pool size increase by over two-fold). The results also are consistent with the operation of a 11 Na–K exchange pump at the serosal border.     

The reaction cycle of bacteriorhodopsin: an analysis using visible absorption,photocurrent and infrared techniques

The light activated absorbance changes and photo-electric events of bacteriorhodopsin (bR) were simultaneously measured. The results were compared with the kinetics of the time resolved infrared signals which are characteristic for protonation changes of Asp residues, chromophore vibrations, and amide I vibrations. Each data set was analyzed separately. Assuming first order reactions the experimental curves in the time range from L back to bR could be fitted by a sum of five exponentials. However, for the photocurrent signal only four exponentials were necessary. The corresponding half-life times were of the same order of magnitude. Simultaneous fits of the traces from absorption changes in the visible range and the photocurrent signal provided evidence that the photocurrent data could also be described by the same sum of exponentials as the data obtained in the visible range. The rate constants obtained from the different methods applied were, within the limits of error, identical. These results demonstrate that retinal monitors not only charge displacements but also conformational movements of the protein moiety. The reprotonation of the Schiff base occurs synchronously with a protonation change of an internal aspartic acid which absorbs at 1755 cm^–1. From the IR-signals, amplitude spectra could be derived which provided evidence that Asp-residues absorbing at 1765 cm^–1 (Asp85) and 1755 cm^–1 are still protonated in the O-intermediate. Major conformational changes of the peptide back bone occur in the time range of the L M transition and with opposite sign during the decay of the O-intermediate. Offprint requests to: M. Engelhard     

Characterization of single L-type Ca<Superscript>2+</Superscript> channels in myocytes isolated from the cricket lateral oviduct

The single Ca²⁺ channel activity was obtained from cell-attached patch recordings with the use of pipettes filled with 100 mM Ba²⁺ as the charge carrier in myocytes isolated from the lateral oviduct of cricket Gryllus bimaculatus. The following results were obtained. (1) The channel had a unitary conductance of 18 pS. (2) The open time histogram of the channel could be fitted with a single exponential while the closed time histogram could be fitted with the sum of two exponentials, suggesting that there are at least one open state and two closed states for this channel. (3) The open probability of the channel increased with increasing membrane depolarization. (4) The mean current reconstructed by averaging individual current trace responses inactivated slowly and the current–voltage relationship for the peak mean current showed a bell-shaped relation. (5) The dihydropyridine (DHP) Ca²⁺ antagonist, nifedipine, reduced the mean current by increasing the proportion of blank sweeps. On the other hand, the DHP Ca²⁺ agonist, Bay K 8644, increased the mean current by increasing the mean open-times of the channel. These results confirm a presence of DHP-sensitive L-type Ca²⁺ channel in myocytes isolated from the lateral oviduct of cricket G. bimaculatus.     

Effects of quantal content,membrane potential,and cholinoceptor density on the time course of end-plate currents in the rat under during acetylcholinesterase inhibition

The time-course of multiquantal end-plate currents (EPCs) was compared with monoquantal synaptic responses, i.e., miniature end-plate currents (MEPCs), in voltage-clamped rat diaphragm muscle fibers. In the presence of active acetylcholinesterase (AChE), the time constant of the decay of EPCs, that were composed of 25–140 quanta, was 1.2 times greater than that of MEPCs. After inhibition of AChE with armine or proserine the decay of the EPC was longer than the decay of the MEPC by 10–100 times, and unlike the MEPC, in the majority of synapses it could be described by the sum of two (n=34) or three (n=9) exponentials: monoexponential EPCs were noted in only three cases. The nature and duration of the EPC decay depended on its quantal content. After a reduction in the quantal content a three-exponential EPC decay could be successively reduced to a two- and a mono-exponential decay. A ,slow, component of the EPC decay, unlike the MEPC decay, was extremely sensitive to changes in the membrane potential, and extracellular magnesium ion concentration. When the cholinoceptors were irreversibly blocked by -bungarotoxin the MEPC decay accelerated, and the monoexponential EPC decay initially slowed down before accelerating, but even during a profound blockade the open-times of the ion channels were not affected. It therefore appears that during the generation of multiquantal EPCs when AChE is inhibited, not only does the synchronicity of the ion channel opening change, but so do their kinetics, possibly because of ion channel blockade by endogenous acetylcholine.S. V. Kurashov Institute of Medicine, Russian Ministry of Public Health, Kazan. Translated from Neirofiziologiya, Vol. 24, No. 3, pp. 269–279, May–June, 1992.     

Kinetic properties of single-ion channels activated by light in Limulus ventral nerve photoreceptors

Previous results on Limulus ventral photoreceptors have suggested that besides inositol trisphosphate, another unknown transmitter may also work in the transduction cascade. This assumption has been supported by the finding of two light-activated channel types. The present report furnishes further evidence of the dual transmitter mechanism in phototransduction by analyzing the kinetic properties and voltage dependency of these cation channels with conductances of 12 pS and 30 pS. Single-channel currents were recorded in Limulus ventral nerve photoreceptors in cell-attached configuration at 14°C. At V _m + 80 mV the open-time histograms of both channels were fit best by the sum of two exponentials; time constants (and weights) were: 0.81 ms (0.62) and 6.20 ms (0.38) for the 12 pS channels and 2.38 ms (0.43) and 19.4 ms (0.57) for the 30 pS channels. At this potential the mean open times were 2.7 ms for the 12 pS and 13.3 ms for the 30 pS channels, about two-times larger than at hyperpolarizing potentials. The deactivation kinetics were also different for the two channels. The time constants of the decay of the channel activity, after switching off the light, were 2.5 s for the 12 pS and 12.9 s for the 30 pS channels. The 12 pS channel exhibits bursting and subconductance states at positive potentials. The subconductances are about 20%, 46% and 72% of the fully open state. Results show that the two types of light-activated channels have different kinetic parameters, voltage dependence and gating mechanisms. The two channels are suggested to be gated by different transmitters or processes. It is proposed that for the 30 pS channel the transmitter could be calcium ion or a calcium-dependent transmitter.     

Kinetics of the work of the ion channels controlled by nicotinic cholinoreceptors in the membrane of mollusk neurons

Currents entering through single channels with conductivity 10 pS were produced on the membrane of an isolated neuron of the fresh-water molluskPlanorbarius corneus in the presence of suberyldicholine (5 µM) by the patch-clamp technique (cell-attached configuration). The times of stay of the channels in the open and closed states, as well as the durations of pulse bursts and clusters, were measured. The distributions of the time intervals obtained experimentally were approximated for open states by one exponential function: t_o=27±3 msec (n=21), and for closed states by a sum of three exponentials: t_c1=9.5±1.0 msec (n=21); t_c2=171±33 msec (n=19); t_c3=5.2±1.0 sec (n=21). The burst durations are characterized by the presence of two exponential functions in the distribution: t_b2=20±14 msec (n=10), t_b2=203±23 msec (n=10), and the clusters by three exponential functions: t_k1=33±11 msec (n=8), t_k2=274±84 msec (n=8), and t_k3=1.5±0.5 sec (n=9). Thus, for work of a chemoactivated channel associated with nicotinic-type cholinoreceptors in a mollusk neuron we can suggest a kinetic scheme with one open and three nonconducting states: C O D₁A₂ D₂A₂. The two "long-lived" closed states of the channel may be associated with desensitization of the integral response of the neurons to the application of suberyldicholine. Values were obtained for the rate constants of these proposed reactions. It is suggested that this model may be useful in analyzing the action of cholinomimetics and blockers on the molluskan neuronal membrane.I. M. Sechenov Institute of Evolutionary Physiology and Biochemistry, Academy of Sciences of the USSR, Leningrad. Translated from Neirofiziologiya, Vol. 23, No. 5, pp. 588–595, September–October, 1991.     

Allosteric interactions of the membrane-bound acetylcholine reception: kinetic studies with alpha-bungarotoxin.

The specific and irreversible reaction of a snake neurotoxin, α-bungarotoxin, with the acetylcholine receptor of electroplax membrane preparations from $\text{Electrophorus electricus}$ proceeds by an initial fast phase followed by a slower one. The fraction of the reaction in the fast phase increases with increasing initial toxin concentrations, while the fraction going slowly decreases correspondingly. Both phases are affected by compounds which initiate or inhibit nerve impulse transmissions. The time course of the reaction can be fitted to the sum of two exponentials. The dependence on initial toxin concentration of the two exponentials, and of the fraction of reaction governed by the exponentials, can be fitted to a minimum reaction mechanism which involves at least two types of toxin binding sites with different dissociation constants and ligand-induced conversion of one type of site into the other. The mechanism is consistent with our previous data which showed that activators and inhibitors of membrane electrical potential changes occupy separate sites, only half of which interact. This type of mechanism has been seen in a number of allosteric regulatory enzymes.     

Kinetics and equilibrium studies of Tet repressor-operator interaction

Binding of a Tet repressor mutant containing a single Trp43 residue in the tet operator recognition -helix leads to the quenching of the protein fluorescence down to about 23% in the case of the tet O₁ operator and to 40% in the case of the tet O₂ operator. We have used fluorescence detection to describe the binding equilibrium and kinetics of the Tet repressor interaction with the 20-bp DNA operators tet O₁ and tet O₂. Stopped-flow measurements in an excess of the tet operators performed in 5 mM NaCl or 150 mM NaCl indicate that the reaction can be described by at least three exponentials characterized by different relaxation times. The mechanism of interaction for both operators as well as for two salt concentrations used can be described as TetR + Operator Complex 1 Complex 2 Complex 3. Only the much faster process can be described as a second-order reaction characterized by a bimolecular rate constant equal to 2.8 × 10⁶ M^–1 sec^–1 for both operators. The medium and slow processes may be described by relaxational times ranging from 50 msec to seconds. The results of the binding equilibrium measurements extrapolated to 1 M NaCl concentration, which reflects the specific nonionic interaction between TetR and tet operators, indicate K _as equal to 3.2 × 10⁴ and 4.0 × 10⁵ M^–1 for tet O₁ and tet O₂, respectively. The number of monovalent ions replaced upon binding can be calculated as about 5 and 3 for tet O₁ and tet O₂, respectively. The binding of Tet repressor to the operators leads to changes in the circular dichroism spectra of the DNA which could indicate transitions of B-DNA into A-like DNA structure.     

A case study of linear versus non-linear modelling

Theories for the facilitation of neurotransmitter release are discussed in a case study of the properties of linear and non-linear models for a phenomenon whose time course can be represented by a sum of decaying exponentials. Particular attention is paid to the effects of a "key factor" on the slopes and amplitudes of the exponentials that can be derived from semilog plots of the data. It is shown that the presence of such effects can give strong evidence for the inappropriateness of linear models. A non-linear model is demonstrated to be capable of describing the changes with extracellular Ca concentration of straight line segments that fit data in semilog plots of facilitation as a function of time. The conclusion is reached that even if data seems to be representable by several independently alterable exponentials one must be cautious in drawing inferences concerning the number, linearity, or independence of the underlying processes.     

Activation kinetics of single high-threshold calcium channels in the membrane of sensory neurons from mouse embryos

Summary Activation kinetics of single high-threshold inactivating (HTI orN-type) calcium channels of cultured dorsal root ganglion cells from mouse embryos was studied using a patchclamp method. Calcium channels displayed bursting activity. The open-time histogram was single exponential with an almost potential-independent mean open time _op. The closed-time histogram was multicomponent; at least three of the components were associated with the activation process. The fast exponential component with the potential-independent time constant _cl ^f included all intraburst gaps, while two slower ones with potential-dependent time constants _cl ^vs described shut times between bursts and between clusters of bursts. The burst length histogram was biexponential. The fast component with a relatively potential-independent time constant _bur ^f described short, isolated channel openings while the slow component characterized real bursts with a potential-dependent mean life time. The waiting-time histogram could be fitted by a difference of two exponentials with time constants being the same as _cl ^s and _cl ^vs . The data obtained were described in the frame of a 4-state sequential model of calcium channel activation, in which the first two stages are formally attributed to potential-dependent transmembrane transfer of two charged gating particles accompanying the channel transitions between three closed states, and the third one to fast conformational changes in channel protein leading to the opening of the channel. The rate constants for all transitions were defined. The validity of the proposed model for both low-threshold inactivating (LTI orT-type) and high-threshold noninactivating (HTN orL-type) calcium channels is discussed.     

Cell responses to single pheromone molecules may reflect the activation kinetics of olfactory receptor molecules

Olfactory receptor cells of the silkmoth Bombyx mori respond to single pheromone molecules with "elementary" electrical events that appear as discrete "bumps" a few milliseconds in duration, or bursts of bumps. As revealed by simulation, one bump may result from a series of random openings of one or several ion channels, producing an average inward membrane current of 1.5 pA. The distributions of durations of bumps and of gaps between bumps in a burst can be fitted by single exponentials with time constants of 10.2 ms and 40.5 ms, respectively. The distribution of burst durations is a sum of two exponentials; the number of bumps per burst obeyed a geometric distribution (mean 3.2 bumps per burst). Accordingly the elementary events could reflect transitions among three states of the pheromone receptor molecule: the vacant receptor (state 1), the pheromone-receptor complex (state 2), and the activated complex (state 3). The calculated rate constants of the transitions between states are k(21)=7.7 s(-1), k(23)=16.8 s(-1), and k(32)=98 s(-1).     

Passive cable properties of hippocampal CA3 pyramidal neurons

The passive electrical cable properties of CA3 pyramidal neurons from guinea pig hippocampal slices were investigated by applying current steps and recording the voltage transients from 25 CA3 neurons, using a single intracellular microelectrode and a 3-kHz time-share system. Two independent methods were used for estimating the equivalent electrotonic length of the dendrites, L, and the dendritic to somatic conductance ratio, . The first method is similar to that used by Gorman and Mirolli (1972) and gave an average L of 0.96; the average was 2.44. The second method is derived here for the first time and assumes a finite-length cable with lumped soma. It is an exact solution for L and , using the slopes and intercepts of the first two peeled exponentials. The average L was 0.94; the average was 1.51. The results, using both methods, are in close agreement. The average membrane time constant for all 25 CA3 neurons was 23.6 ms, suggesting a large (23,600 cm²) average membrane resistivity. It is concluded that CA3 neurons are electronically short.This work was supported by Grants NS 11535 and NS 15772 from the National Institute of Neurological and Communicative Disorders and Stroke, National Institutes of Health, U.S. Public Health Service.     

Solution-state characteristics of the ultraviolet A-induced visible fluorescence from proteins

In response to illumination by ultraviolet-A (UV-A) light, proteins in solid form are now known to display a visible blue fluorescence, ostensibly on account of excitation transitions of loosely-held electrons within peptide bond orbitals engaged in hydrogen bonding. Because the CO and NH atom groups in peptide bonds are generally engaged in extensive hydrogen bonding in globular proteins even in aqueous solution, one could argue that proteins in solution must also display this novel blue fluorescence. Here, using high concentrations to enhance detectability, two globular proteins, γ-crystallin, and lysozyme, are shown to fluoresce visibly, exhibiting: (a) two excitation maxima, at ∼315 nm and ∼385 nm, (b) maximal emission at 425 nm in 100 mg/ml lysozyme and 465 nm in 100 mg/ml γ-crystallin, (c) a time-resolved emission decay that is best fitted by a sum of three exponentials with lifetimes of 3.14, 0.46, and 9.08 ns, respectively, and comparable relative amplitudes of around 30--40 percent each, and (d) a weak CD spectrum displaying a positive band at ∼385 nm and a negative band at ∼465 nm. While the wavelength of maximal emission (^emλ_max) in lysozyme is the same for all protein concentrations, the ^emλ_max of γ-crystallin varies with protein concentration, suggesting a certain degree of conformation dependence.     

Step-scan FTIR spectroscopy resolves the QA −QB → QAQB − transition in Rb. sphaeroides R26 reaction centres

It is shown that step-scan Fourier transform infrared spectroscopy can be applied to resolve the Q_A ^–Q_B Q_AQ_B ^– transition in Rhodobacter sphaeroides reaction centres with a 5 µs time resolution. In the mid-infrared region (1900 – 1200 cm^–1), transient signals previously assigned to Q_A/B and Q_A/B ^– vibrations, respectively (Brudler et al. 1994; Brudler et al. 1995; Breton and Nabedryk 1996), can be resolved with this new technique. In addition, the three small positive bands in the spectral region of the carboxylic C=O stretching modes of acidic amino acid side chains are also resolved at 1730, 1719 and 1704 cm^–1. A global fit analysis yields two exponentials with half-times of 150 µs and 1.2 ms in agreement with IR spectroscopic studies at single wavenumbers (Hienerwadel et al. 1995), in the UV/VIS and near IR (Tiede et al. 1996, Li et al. 1996). The establishement of the step-scan technique enables a new approach to elucidate the molecular mechanism of this transition.