Acetylcholine Channels Research Articles

NAV, AChR and Na/K PUMP Densities as a Function of EOD Frequency: Predictions for and Observations from the Weakly Electric Fish Eigenmannia

Eigenmannia virescens individuals, to sense and communicate, continually generate an electric organ discharge (EOD) at some frequency within the range 200-600Hz. The skeletal muscle-derived EOs are comprised of syncytial electrocytes, each of whose innervated excitable posterior membranes continually fires action potentials in response to cholinergic stimuli. EOD-related whole animal O2-consumption reveals a nonlinear increase in the cost of EODs with increasing frequency (Lewis et al 2014 J Neurosci 34:197). We modeled the excitable membrane firing at 200-600Hz. Na+ entry through Nav and acetylcholine channels (AChRs) was tallied. A dynamic steady-state of continual firing implies near-perfect ion homeostasis achieved by Na,K-ATPase (pump) activity. Modeling showed that Nav channel density, but not AChR density, would need to increase as firing frequency increased. To counter the influx through higher density Nav channels, pump density would also need to increase. Modeling, which assumes synaptic transmission operating at very high speed (200 Hz is already extraordinary), predicts frequency-independent AChR density for electrocytes; this will need to be tested. Testing is underway, however, for Nav channel and the pump densities. E.virescens have two Nav1.4 isoforms (Nav1.4a, Nav1.4b); they are expressed in electrocytes only on the innervated posterior membrane. Electrocytes have one Na,K-ATPase alpha subunit isoform, expressed both anteriorly and posteriorly. Nav1.4a is expressed exclusively in the EO, while Nav1.4b is expressed in both skeletal muscle and EO. We used quantitative RT-PCR to measure transcription levels of genes encoding Nav1.4a, Nav1.4b and the Na,K-ATPase. We found that transcription levels of Nav1.4a, and Na+/K+ ATPase have a strong positive correlation with EOD frequency, while the transcription levels of Nav1.4b showed no correlation with EOD frequency.

Calcium and electrical dynamics in lymphatic endothelium.

Endothelial cell function in resistance arteries integrates Ca2+ signalling with hyperpolarization to promote relaxation of smooth muscle cells and increase tissue blood flow. Whether complementary signalling occurs in lymphatic endothelium is unknown. Intracellular calcium and membrane potential were evaluated in endothelial cell tubes freshly isolated from mouse collecting lymphatic vessels of the popliteal fossa. Resting membrane potential measured using intracellular microelectrodes averaged ∼-70mV. Stimulation of lymphatic endothelium by acetylcholine or a TRPV4 channel agonist increased intracellular Ca2+ with robust depolarization. Findings from Trpv4-/- mice and with computational modelling suggest that the initial mobilization of intracellular Ca2+ leads to influx of Ca2+ and Na+ through TRPV4 channels to evoke depolarization. Lymphatic endothelial cells lack the Ca2+ -activated K+ channels present in arterial endothelium to generate endothelium-derived hyperpolarization. Absence of this signalling pathway with effective depolarization may promote rapid conduction of contraction along lymphatic muscle during lymph propulsion. Subsequent to a rise in intracellular Ca2+ ([Ca2+ ]i ), hyperpolarization of the endothelium coordinates vascular smooth muscle relaxation along resistance arteries during blood flow control. In the lymphatic vasculature, collecting vessels generate rapid contractions coordinated along lymphangions to propel lymph, but the underlying signalling pathways are unknown. We tested the hypothesis that lymphatic endothelial cells (LECs) exhibit Ca2+ and electrical signalling properties that facilitate lymph propulsion. To study electrical and intracellular Ca2+ signalling dynamics in lymphatic endothelium, we excised collecting lymphatic vessels from the popliteal fossa of mice and removed their muscle cells to isolate intact LEC tubes (LECTs). Intracellular recording revealed a resting membrane potential of ∼-70mV. Acetylcholine (ACh) increased [Ca2+ ]i with a time course similar to that observed in endothelium of resistance arteries (i.e. rapid initial peak with a sustained 'plateau'). In striking contrast to the endothelium-derived hyperpolarization (EDH) characteristic of arteries, LECs depolarized (>15mV) to either ACh or TRPV4 channel activation. This depolarization was facilitated by the absence of Ca2+ -activated K+ (KCa ) channels as confirmed with PCR, persisted in the absence of extracellular Ca2+ , was abolished by LaCl3 and was attenuated ∼70% in LECTs from Trpv4-/- mice. Computational modelling of ion fluxes in LECs indicated that omitting K+ channels supports our experimental results. These findings reveal novel signalling events in LECs, which are devoid of the KCa activity abundant in arterial endothelium. Absence of EDH with effective depolarization of LECs may promote the rapid conduction of contraction waves along lymphatic muscle during lymph propulsion.

Evolution and Development of the Inner Ear Efferent System: Transforming a Motor Neuron Population to Connect to the Most Unusual Motor Protein via Ancient Nicotinic Receptors.

All craniate chordates have inner ears with hair cells that receive input from the brain by cholinergic centrifugal fibers, the so-called inner ear efferents (IEEs). Comparative data suggest that IEEs derive from facial branchial motor (FBM) neurons that project to the inner ear instead of facial muscles. Developmental data showed that IEEs develop adjacent to FBMs and segregation from IEEs might depend on few transcription factors uniquely associated with IEEs. Like other cholinergic terminals in the peripheral nervous system (PNS), efferent terminals signal on hair cells through nicotinic acetylcholine channels, likely composed out of alpha 9 and alpha 10 units (Chrna9, Chrna10). Consistent with the evolutionary ancestry of IEEs is the even more conserved ancestry of Chrna9 and 10. The evolutionary appearance of IEEs may reflect access of FBMs to a novel target, possibly related to displacement or loss of mesoderm-derived muscle fibers by the ectoderm-derived ear vesicle. Experimental transplantations mimicking this possible aspect of ear evolution showed that different motor neurons of the spinal cord or brainstem form cholinergic synapses on hair cells when ears replace somites or eyes. Transplantation provides experimental evidence in support of the evolutionary switch of FBM neurons to become IEEs. Mammals uniquely evolved a prestin related motor system to cause shape changes in outer hair cells regulated by the IEEs. In summary, an ancient motor neuron population drives in craniates via signaling through highly conserved Chrna receptors a uniquely derived cellular contractility system that is essential for hearing in mammals.

Bayesian Statistical Inference in Ion-Channel Models with Exact Missed Event Correction

The stochastic behavior of single ion channels is most often described as an aggregated continuous-time Markov process with discrete states. For ligand-gated channels each state can represent a different conformation of the channel protein or a different number of bound ligands. Single-channel recordings show only whether the channel is open or shut: states of equal conductance are aggregated, so transitions between them have to be inferred indirectly. The requirement to filter noise from the raw signal further complicates the modeling process, as it limits the time resolution of the data. The consequence of the reduced bandwidth is that openings or shuttings that are shorter than the resolution cannot be observed; these are known as missed events. Postulated models fitted using filtered data must therefore explicitly account for missed events to avoid bias in the estimation of rate parameters and therefore assess parameter identifiability accurately. In this article, we present the first, to our knowledge, Bayesian modeling of ion-channels with exact missed events correction. Bayesian analysis represents uncertain knowledge of the true value of model parameters by considering these parameters as random variables. This allows us to gain a full appreciation of parameter identifiability and uncertainty when estimating values for model parameters. However, Bayesian inference is particularly challenging in this context as the correction for missed events increases the computational complexity of the model likelihood. Nonetheless, we successfully implemented a two-step Markov chain Monte Carlo method that we called “BICME”, which performs Bayesian inference in models of realistic complexity. The method is demonstrated on synthetic and real single-channel data from muscle nicotinic acetylcholine channels. We show that parameter uncertainty can be characterized more accurately than with maximum-likelihood methods. Our code for performing inference in these ion channel models is publicly available.

Aromatic Residues ∈Trp-55 and δTrp-57 and the Activation of Acetylcholine Receptor Channels

The two transmitter binding sites of the neuromuscular acetylcholine (ACh) receptor channel contain several aromatic residues, including a tryptophan located on the complementary, negative face of each binding pocket. These two residues, Trp-55 in the epsilon subunit and Trp-57 in the delta subunit, were mutated (AEFHILRVY), and for most constructs the rate constants for acetylcholine binding and channel gating were estimated by using single channel kinetic analyses. The rate constants for unliganded channel opening and closing were also estimated for some mutants. From these measurements we calculated all of the equilibrium constants of the "allosteric" cycle as follows: diliganded gating, unliganded gating, dissociation from the C(losed) conformation, and dissociation from the O(pen) conformation. The results indicate the following. (i) These aromatic side chains play a relatively minor role in ACh receptor channel activation. (ii) The main consequence of mutations is to reduce the affinity of the O conformation of the binding site for ACh, with the effect being greater at the epsilon subunit. (iii) In epsilon (but not delta) the aromatic nature of the side chain is important in determining affinity, to a slightly greater degree in the O conformation. Phi value analyses (of both tryptophan residues) show Phi approximately 1 for both the ACh binding and diliganded gating reactions. (iv) This suggests that the structural boundaries of the dynamic elements of the gating conformational change may not be subunit-delimited, and (v) the mutated tryptophan residues experience energy changes that occur relatively early in both the ligand-binding and channel-gating reactions.

Mutation of single murine acetylcholine receptor subunits reveals differential contribution of P121 to acetylcholine binding and channel opening

The nicotinic acetylcholine receptor (AChR) is a heteropentameric, ligand-gated ion channel at the neuromuscular junction, where it is responsible for signal transduction between the motorneuron and the muscle. Point mutations in the subunits of the receptor change the channel's electrophysiological properties and underlie inherited forms of muscle weakness, the congenital myasthenic syndromes. One point mutation (P121L) has been identified in the epsilon-subunit of patients suffering from the fast-channel congenital myasthenic syndrome, which is evoked by reduced AChR openings. We introduced the P121L mutation into all murine AChR subunits and performed electrophysiological studies in Xenopus laevis oocytes. The P121L mutation in the epsilon-subunit of the adult mouse AChR affected ligand binding and channel gating in a manner similar to that described for human AChR. At equivalent positions in the alpha- and beta-subunits, the mutation caused only minor electrophysiological changes. Mutation of the delta-subunit had similar, but less pronounced functional consequences compared to epsilonP121L, reflecting the asymmetry of the acetylcholine binding sites and the dominant effect of the alpha-epsilon site on channel opening.

Prototype acetylcholine channel geometry

The acetylcholine (ACh) receptor channel is one of the most important membranepores that assist in two key physiological functions in the nervous system: muscle contraction and neuronal communication. In this paper, a realistic channel geometry is utilized to calculate the electrostatic potential in the ACh channel. The ACh channel has been modeled as an oversimplified cylindrical pore or as a toroidal catenary. However, various degrees of uncertainty associated with using those models have been well documented. Using the channel geometry, we calculate the electrostatic potential in the ACh channel and study its ramifications. Our model mimics the essential biological features of the ACh channel and provides valuable insights into the selectivity properties of the channel.

Effect of channel geometry on the electrostatic potential in acetylcholine channels

We study the effect of channel geometry on the potential barrier encountered by ions as they permeate the acetylcholine receptor channel. Among the various channel geometries which have been used to represent the acetylcholine receptor channel include the cylinder and the toroidal catenary. The main reasons for those choices appear to be the facilitation of separation of the Poisson equation, rather than biological considerations. We consider a novel and realistic acetylcholine channel geometry, and calculate the electrostatic potential profiles within it, and compare our results with results from other channel geometries.

Modulation of fetal and adult acetylcholine receptors by Ca2+ and Mg2+ at developing mouse end-plates.

It has long been known that extracellular Ca2+ and Mg2+ modulate synaptic transmission at the neuromuscular junction, acting both pre- and post-synaptically. Relevant questions concerning the modulation of acetylcholine (ACh) receptors (AChRs) are however still open: are the fetal (gamma-AChR) and adult (epsilon-AChR) receptors modulated differently? Does the ACh concentration influence the effect of divalent cations? Is the effect on channel open duration dependent on type and concentration of divalent cation? These questions were addressed by studying the modulation of the single-channel behaviour of gamma- and epsilon-AChRs by Ca2+ and Mg2+ at the endplate of muscle fibres acutely dissociated from 12- to 14-day-old mice. Ca2+ reduced the conductances of the two receptor channels comparably. Mg2+ had a stronger effect than Ca2+ and reduced the conductance of epsilon-AChR significantly more than that of gamma-AChR. With 0.1 microM ACh, Ca2+ and Mg2+ increased the mean open duration of gamma- and epsilon-AChR channels comparably. At 100 microM ACh, gamma- and epsilon-AChR channels opened in bursts of strikingly similar duration, which was unaffected by divalent cations. These findings indicate that Ca2+, and even more so Mg2+, may regulate synaptic transmission by modulating the function of AChRs in addition to the well-established effects on transmitter release.

The influence of quantal content on the time course of the endplate current in frogs.

The aim of this study was to find out whether control and facilitated endplate current (EPC) of a curarized frog nerve-muscle preparation stimulated with paired impulses decay at the same time constant. The experiments revealed that the decay of the greater second EPC was slower in nearly half of the cases. This half of the results suggests that a larger quantity of the released transmitter and, consequently, a higher density of open channels promote a cooperative effect among them. The end effect can be a longer mean lifetime of open acetylcholine channels. In the other half of the experiments, the mean lifetime of open channels seems to be independent of the agonist concentration.

Localized Synaptic Actions of Neurotrophin-4

Neurotrophins secreted by the postsynaptic target cell may participate in activity-dependent synaptic modification during development and in the mature brain. A fundamental question of how neurotrophins can sculpt synaptic connections is whether neurotrophin-induced synaptic changes are spatially restricted to the site of neurotrophin secretion or whether they can spread to neighboring synapses. Using a model system of nerve-muscle coculture in which neurotrophin-4 (NT-4) is overexpressed in a subpopulation of postsynaptic myocytes, we demonstrated that presynaptic potentiation is restricted to synapses on myocytes overexpressing NT-4 without affecting nearby synapses formed by the same neuron on control myocytes. Likewise, postsynaptic modulation of acetylcholine channels by secreted NT-4 is spatially restricted to <60 micron from the site of NT-4 secretion. Therefore, activity-dependent secretion of neurotrophins can result in highly localized modification of neuronal connections.

Release of acetylcholine from embryonic myocytes in Xenopus cell cultures.

1. Acetylcholine (ACh) is important as the transmitter responsible for neuromuscular transmission. Here we report the non-quantal release of ACh from embryonic myocytes. 2. Co-cultures of spinal neurons and myotomal muscle cells were prepared from 1-day-old Xenopus embryos. Single channel currents were recorded in the non-innervated myocytes. When the patch pipette was filled with Ringer solution alone, spontaneous single channel currents occurred, which were inhibited by d-tubocurarine (d-Tc). 3. The channel conductance appearing in Ringer solution (37.3 pS) was similar to that of an embryonic-type ACh channel (36.9 pS), indicating that ACh is probably released from myocytes in normal Ringer solution. 4. When the patch pipette was filled with anticholinesterase alone to prevent hydrolysis of ACh released from myocytes, both physostigmine and neostigmine in a concentration-dependent manner increased channel open probability; it was reduced by d-Tc or alpha-bungarotoxin. 5. Vesamicol and quinacrine, vesicular transporter inhibitors, reduced the channel open probability caused by ACh released from myocytes in the presence of neostigmine or physostigmine. 6. Intracellular alkalinization with NH4Cl inhibited the ACh release from myocytes, whereas, extracellular alkalinization, brought about by replacing normal Ringer solution, with pH 8.6 Ringer solution enhanced ACh release. 7. The immunocytochemistry of choline acetyltransferase (ChAT) showed that ChAT exists in both myocytes and neuronal cells but not in fibroblasts. 8. These results suggest that embryonic myocytes are capable of synthesizing and releasing ACh in a non-quantal manner. Extracellular alkalinization enhanced and intracellular alkalinization inhibited ACh release from myocytes.

Potentiation of Developing Synapses by Postsynaptic Release of Neurotrophin-4

The hypothesis that synaptic functions can be regulated by neurotrophins secreted from the postsynaptic cell was examined in Xenopus nerve-muscle cultures. Neuromuscular synapses formed on myocytes overexpressing neurotrophin-4 (M+ synapses) exhibited a higher level of spontaneous synaptic activity and enhanced evoked synaptic transmission as compared to those formed on normal control myocytes (M− synapses). The NT-4 effects involve a potentiation of presynaptic transmitter secretion as well as a lengthening of the mean burst duration of postsynaptic low conductance acetylcholine channels. Repetitive stimulation of either the presynaptic neuron or the postsynaptic myocyte led to a potentiation of synaptic transmission at M+ synapses. All potentiation effects of NT-4 overexpression were abolished by the extracellular presence of TrkB-IgG but not by the presence of TrkA-IgG, indicating that postsynaptic secretion of NT-4 was responsible for the synaptic modification.

Regulation of quantal transmitter secretion by ATP and protein kinases at developing neuromuscular synapses.

The effects of endogenously released ATP on the maturation of developing neuromuscular synapses were investigated in Xenopus nerve-muscle co-cultures. The potentiating action of ATP (1 mM) on spontaneous acetylcholine release was inhibited by P2-purinoceptor antagonists suramin (0.3 mM) and reactive blue 2 (RB-2, 3 microM) in day 1 cultures. Bath application of suramin (10 microM) or RB-2 in day 1 cultures and prolonged treatment for 2 days dramatically decreased the amplitude of both spontaneous synaptic currents (SSCs) and evoked synaptic currents (ESCs) in the same cultures on day 3. Chronic treatment with 8-cyclopentyltheophylline (4 microM) or 6-cyano-2,3-dihydroxy-7-nitroquinoxaline (CNQX, 10 microM), P1-purinoceptor and glutamate receptor antagonists respectively, did not exert such an inhibitory effect. Chronic treatment with suramin or RB-2 for 2 days had no significant effect on the amplitude of either iontophoretic acetylcholine-induced whole-cell currents or single acetylcholine channel measurements in 3-day-old cultured myocytes. In addition, prolonged treatment for 2 days with various kinase inhibitors such as H-8 (10 microM), KN-62 (5 microM) and H-7 (10 microM) also decreased the amplitudes of both spontaneous and evoked synaptic currents in natural synapses, but not those of iontophoretic acetylcholine-induced currents. Furthermore, suramin and these protein kinase inhibitors also decreased the amplitude of spontaneous synaptic currents in manipulated synapses of 'vacated' nerve terminals. The results suggest that endogenously released ATP, acting in concert with various protein kinases, is involved in the maintenance and/or development of the quantum size of synaptic vesicles at embryonic neuromuscular synapses.

Heterogeneous levamisole receptors: a single-channel study of nicotinic acetylcholine receptors from Oesophagostomum dentatum

A muscle vesicle preparation from Oesophagostomum dentatum, a 5 mm parasitic nematode, was developed for single-channel recording. Properties of nicotinic acetylcholine receptors activated by the anthelmintic levamisole (10 μM) were investigated using cell-attached and isolated inside-out patches. The current-voltage relationships of the single-channel currents were linear with conductances in the range 24.6–57.7 pS (mean 39.5 pS). The distributions of open times were fitted with a single exponential and mean open times were in the range 0.98–4.43 ms (mean 2.2 ms). The distributions of conductances and open times of the channels showed that the receptors could not be described as a single homogeneous population. There were two main channel subtypes: one subtype, designated G35, had a mean conductance of 35.2 pS and mean open time of 1.6 ms; another subtype, designated G45, had a mean conductance of 44.6 pS and mean open time of 2.7 ms. A channel with a conductance near 25 pS, designated G25, and a channel with a conductance near 55 pS, designated G55, were also observed. The designations were based on the mean conductances, G, of the channel subtypes. A model for the heterogeneous population of nicotinic acetylcholine channels predicting four subtypes of receptor separated by their conductance is discussed and related to the development of levamisole resistance. © 1997 Elsevier Science B.V. All rights reserved.

Additive effect of ADP and CGRP in modulation of the acetylcholine receptor channel in Xenopus embryonic myocytes

1. We have previously shown that the activation of either protein kinase A (PKA) or protein kinase C (PKC) enhanced the responses of muscle membrane to acetylcholine (ACh) by increasing the mean open time of embryonic-type ACh channels in Xenopus cultured myocytes. In the present study, we further investigated the interaction between these two kinases in the modulation of ACh channels by using the receptor ligands, adenosine diphosphate (ADP) and calcitonin gene-related peptide (CGRP) which selectively activate PKC and PKA, respectively. 2. ADP concentration-dependently increased the mean open time of embryonic-type ACh channels and 0.3 mM ADP is sufficient to achieve the maximal potentiating effect. alpha, beta-Methylene ATP and PMA (phorbol 12-myristate 13-acetate) but not adenosine, AMP, dibutyryl cyclic GMP have similar potentiating action. 3. Suramin (0.3 mM) pretreatment abolished the potentiating effect of ADP but left that of PMA unchanged. 4. CGRP increased the mean open time of embryonic-type ACh channels in a concentration-dependent manner and 1 microM CGRP produced the maximal effect. 5. The maximal effects of both ADP (0.3 mM) and CGRP (1 microM) in the prolongation of mean open time of ACh channels were additive. 6. These results suggest that the modulation of embryonic-type ACh channels by the endogenously released ligands via the activation of PKA and PKC is additive and possibly different sites of ACh channels may be involved in the potentiation effect of either PKC or PKA.

Characterization of the acetylcholine-sensitive muscarinic K+ channel in isolated feline atrial and ventricular myocytes

M2-cholinergic receptor activation by acetylcholine (ACh) is known to cause a negative inotropic and chronotropic action in atrial tissues. This effect is still controversial in ventricular tissues. The ACh-sensitive muscarinic K+ channel (IK(ACh)) activity was characterized in isolated feline atrial and ventricular myocytes using the patch-clamp technique. Bath application of ACh (1 microM) caused shortening of action potential duration without prior stimulation with catecholamines in atrial and ventricular myocytes. Resting membrane potential was slightly hyperpolarized in both tissues. These effects of ACh were greater in atrium than in ventricle. ACh increased whole-cell membrane current in atrial and ventricular myocytes. The current-voltage (I-V) relationship of the ACh-induced current in ventricle exhibited inward-rectification whose slope conductance was smaller than that in atrium. In single channel recording from cell-attached patches, IK(ACh) activity was observed when ACh was induced in the pipette solution in both tissues. The channel exhibited a slope conductance of 47 +/- 1 pS (mean +/- SD, n = 14) in atrium and 47 +/- 2 pS (n = 10) in ventricle (not different statistically; NS). The open times were distributed according to a single exponential function with mean open lifetime of 2.0 +/- 0.3 msec (n = 14) in atrium and 1.9 +/- 0.3 msec (n = 10) in ventricle (NS); these conductance and kinetic properties were similar between the two tissues. However, the relationship between the concentration of ACh and single channel activity showed a higher sensitivity to ACh in atrium (IC50 = 0.03 microM) than in ventricle (IC50 = 0.15 microM).(ABSTRACT TRUNCATED AT 250 WORDS)

Modulation of the nicotinic acetylcholine receptor channels by spermine in Xenopus muscle cell culture

The modulation by endogenous polyamine spermine on acetylcholine (ACh)-induced currents was evaluated using a outside-out patch and whole-cell voltage-clamp recordings from cultured Xenopus muscle cells. Spermine potentiated the ACh-induced whole-cell currents at micromolar concentrations but is less effective at millimolar concentrations at a holding potential of −60 mV. It produced a voltage-dependent potentiation of ACh-induced whole-cell currents; the degree of potentiation by 100 μM spermine was 18.3 ± 1.7% at a holding potential of −60 mV while 108.2 ± 2.9% increase at +60 mV. Arcaine, a putative competitive antagonist at the polyamine-binding site on the N- methyl- d-aspartate (NMDA) receptor-channel complex, reduced the spermine enhancement of ACh-induced whole-cell currents. Glycine (10 μM) had no effect on the potentiation of ACh-induced whole-cell currents by spermine. In single-channel recordings, spermine (1 μM to 1 mM) increased the opening frequency of both low- and high-conductance ACh channels and at higher concentrations (≥ 100 μM) it produced, in addition, a voltage-dependent decrease in channel amplitude and average open time of both types of ACh channels that limits its enhancing action. It is likely that these two actions of spermine, due to differences in concentration- and voltage-dependence, are mediated by different binding sites on the nicotinic ACh receptor-channel complex of the muscle cells.

Evaluation of fractal properties of ACh-receptor channel's gating exposed to microwave fields

In recent years, researchers involved in biological effects of electromagnetic fields have focused their attention on the analysis of ionic channel gating and on its kinetic behaviour. This seems to be a potential site of interaction at the microscopic level. Some theoretical models of the response of protein channels to stimulating fields have been developed, based on Markov models. Together with the increasing interest in this subject, a great amount of development of physiological research has resulted from fractal theories and methodologies. Their techniques and approaches have allowed the detection of new properties and characteristics of nature. In this paper, an experimental evaluation of the temporal self-similarity of the acetylcholine channel's current signals and of its spectral properties is made, both for the standard situation and for the channel exposed to microwave fields. On the basis of the theoretical Markov models, a study of these properties was also carried out, demonstrating that a Markov model with a small number of states can simulate some fractal properties.

Sequential Approach for Describing Channel Opening and Desensitization

A formula describing the time-course of activation and desensitization of nicotinic-like acetylcholine channels is developed. The method used to arrive at this simplified formula is based on a sequential approach. Based upon this approximated and simple formula, analytical expressions for various specific experimental aspects are derived. These expressions together with the corresponding experiments provide a method to evaluate in a sequential manner the various rate constants involved.